Use the parabola tool to graph the quadratic function y=−2x2+12x−14 . Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer 1

Answer:

(x,12x-18)

Step-by-step explanation:

Answer 2

Answer:

Check attached graph

Step-by-step explanation:

Given equation of the parabola is [tex]y=-2x^2+12x-14[/tex].

Nowe we need to use the parabola tool to graph the quadratic function. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Compare Given equation with [tex]y=ax^2+bx+c[/tex] we get: a=-2 and b=12

then x-coordinate of vertex [tex]=x=-\frac{b}{2a}=-\frac{12}{2\left(-2\right)}=3[/tex]

plug x=3 into given function

[tex]y=-2x^2+12x-14[/tex]

[tex]y=-2(3)^2+12(3)-14=4[/tex]

Hence vertex is (3,4).

Plug any x-value say x=0 into given function to find other point

[tex]y=-2(2)^2+12(2)-14=2[/tex]

Hence second point is (2,2)

now graph the parabola using both points as shown below:

Use The Parabola Tool To Graph The Quadratic Function Y=2x2+12x14 . Graph The Parabola By First Plotting

Related Questions

PLEASE HELP ASAP 66 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
A) Quadratic trinomial
B) Quadratic binomial
C) Cubic binomial
D) Cubic trinomial

^ answers choices, since mine are glitched

Answers

Answer: 2p^2-p

: Quadratic Binomial

Step-by-step explanation:

The set of ordered pairs shown represents a function f. {(-5, 3), (4, 9), (3, -2), (0, 6)} Which three ordered pairs could be added to the set so that f remains a function? a. (-3, -2), (4, 0), and (0, -1) B) (1, 6), (2, 3), and (-5, 9) C) (4, 0), (0, -1), and (-5, 9) D) (-3, -2), (1, 6), and (2, 3)

Answers

D) because in functions the input X can have only one output Y

Answer:

d.(-3,-2),(1,6) and (2,3)

Step-by-step explanation:

We are given that the set of ordered pairs shown represents a function f

{(-5,3),(4,9),(3,-2),(0,6)}

We have to find that which three ordered pairs could be added to the set so that function remains same.

Function: It is mapping between  elements of two sets A and B and every element of set A is uniquely mapped with each element of set B.

Or We can say that there is only one image of each element .

In the function

Image of -5 is 3 ,image of 4 is 9 ,image of 3 is -2 and image of 0 is 6.

a.(-3,-2),(4,0),(0,-1)

There is image of 0 is -1

It is not possible because two images of one element is not possible.

Hence, option a is false.

b.(1,6),(2,3) and (-5,9)

There is image of -5 is 9

Image of -5 is 3 in given function

Two  images one elements is not possible .Hence, option b is false.

c.(4,0),(0,-1) and (-5,9)

It is false because image of 4 is 0 and image of -5 is 9 which is not possible.

Hence, option C is false.

d.(-3,-2),(1,6) and (2,3)

Image of -3 is -2

Image of 1 is 6

Image of 2 is 3

It is true because every element have different image and function remain same.

Therefore, option D is true.

What is the easiest way to solve this problem?
thank u!!

Answers

Answer:

B. 2

Step-by-step explanation:

[tex] \frac{2(x + 1)}{x + 5} = 1 - \frac{1}{x + 5} [/tex]

Multiply two sides by (x+5), we have

[tex](x + 5) \frac{2(x + 1)}{x + 5} = (x + 5) - (x + 5) \frac{1}{x + 5} [/tex]

so

[tex]2(x + 1) = x + 5 - 1 \\ = > \: 2x + 2 = x + 4 \\ = > x = 2[/tex]

Answer:

  B.  2

Step-by-step explanation:

You can add 1/(x+5), then multiply by (x+5), then subtract (x+3).

[tex]\dfrac{2(x+1)+1}{x+5}=1 \qquad\text{add 1/(x+5)}\\\\2x+3=x+5 \qquad\text{multiply by x+5}\\\\x=2 \qquad\text{subtract x+3}}[/tex]

_____

Sometimes you have to try several methods to find the easiest. One "always works" method is to subtract one side of the equation so you have something that equals zero. Here that would look like ...

[tex]\dfrac{2(x+1)}{x+5}-1+\dfrac{1}{x+5}=0 \qquad\text{subtract the right side}\\\\\dfrac{2(x+1)-(x+5)+1}{x+5}=0 \qquad\text{use a common denominator}\\\\\dfrac{x-2}{x+5}=0 \qquad\text{simplify}\\\\x=2 \qquad\text{the value of x that makes the numerator 0}[/tex]

Please please help me

Answers

Answer:

x = 5.5

Step-by-step explanation:

Given 2 secants intersecting the circle from a point outside the circle then

The product of the external part and the entire part of one secant is equal to the product of the external part and the entire part of the other secant, that is

x(x + 14) = 6(6 + 12)

x² + 14x = 6 × 18 = 108 ( subtract 108 from both sides )

x² + 14x - 108 = 0 ← in standard form

with a = 1, b = 14 and c = - 108

Using the quadratic formula to solve for x

x = ( - b ± [tex]\sqrt{b^2-4ac}[/tex] ) / 2a

  = ( - 14 ± [tex]\sqrt{14^2-(4(1)(-108)}[/tex] ) / 2

  = ( - 14 ± [tex]\sqrt{196+432}[/tex] ) / 2

  = ( - 14 ± [tex]\sqrt{628}[/tex] ) / 2

  x = [tex]\frac{-14-\sqrt{628} }{2}[/tex] or x = [tex]\frac{-14+\sqrt{628} }{2}[/tex]

  x = - 19.5 or x = 5.5 ( to 1 dec. place )

However x > 0 ⇒ x = 5.5

Angie's car is valued at $22,000, and she owes $20,000 on it. What is her

current equity?

Answers

Answer: 2,000

Step-by-step explanation: 22,000 - 20,000 = 2,000

Angie’s current equity on her car is 2,000

Answer:

[tex]\$2,000[/tex]

Step-by-step explanation:

Equity is defined by difference between total value of the asset and total liabilities.

Value of Angie's car is [tex]\$22,000[/tex] and she owes [tex]\$20,000[/tex] which means:

Total value of asset (car) = [tex]\$22,000[/tex]

Total liability = [tex]\$22,000[/tex]

∴ Equity = [tex]22000 - 20000 = 2000[/tex]

Hence Angie's current equity is [tex]\$2,000[/tex]

The value 5 is a solution for [tex]x^2-6x+5=0[/tex]

A. True
B. False

Answers

Answer:

A. TRUE

Step-by-step explanation:

To verify if that value 5 is a solution, you place it in the equation instead of 'x' and see if the equality is respected at the end.

The equation is: x² - 6x + 5 = 0

Now, let's replace x by 5:

5² - 6 (5) + 5 = 0

25 - 30 + 5 = 0

-5 + 5 = 0

0 = 0

Since 0 = 0 is true, the value 5 is a valid solution for this equation.

If we had tried with 6, it would have ended with

36 - 36 + 5 = 0

5 = 0

So, 6 is NOT a solution.

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of two and shifting it down three units. Which function is representative of this transformation?

Answers

Answer:

-2log3x - 3.

Step-by-step explanation:

Reflecting over the x axis gives  - log 3x.

A vertical stretch gives the function  -2log3x.

Finally a shift down 4 units gives the function -2log3x - 3.

Answer:

[tex]g(x)=-2log3x -3[/tex]

Step-by-step explanation:

In order to stretch a function you need to multiply by a factor, in this case is two.

In order to shift your function vertically, you need to add or subtract a number, adding you shift up, subtracting you shift down. That's why wee subtract the 3 units, because it says 'shifting down'.

Trigonometric Functions Help.. Find the measure of angle A. Type the correct answer rounded to one decimal place.

Answers

Answer:

31.9 degrees

Step-by-step explanation:

tan(A) = 5.1/8.2

A = tan^-1 (5.1/8.2) = 31.9 degrees

The measure of angle A is 31.1 degrees.

To find the measure of angle A, we can use the following trigonometric function:

tan(A) = opposite over adjacent

In this case, the opposite side is 5.1 and the adjacent side is 8.2. Plugging these values into the formula, we get:

tan(A) = 5.1 / 8.2

A = tan⁻¹(5.1 / 8.2)

A ≈ 31.1 degrees

Therefore, the measure of angle A is 31.1 degrees (rounded to one decimal place).

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Cassie received a 20%-off coupon and a $10-off coupon from a department store. She visits the department store during a tax-free sale and plans to spend no more than $25.20. She also plans to use both of the coupons she received on her purchase. If this situation is modeled by the inequality below, what must be the original purchase total, x, before the discounts are applied?

0.8x-$10<=$25.20

A.
The original purchase total must be at least to $21.50 before the discounts are applied.
B.
The original purchase total must be at most to $44 before the discounts are applied.
C.
The original purchase total must be at least to $44 before the discounts are applied.
D.
The original purchase total must be at least to $35.20 before the discounts are applied.

Answers

Answer:

  B.  The original purchase total must be at most to $44 before the discounts are applied.

Step-by-step explanation:

Solve the inequality by adding $10, then dividing by 0.8.

  0.8x -$10 ≤ $25.20

  0.8x ≤ $35.20 . . . . . . . . add $10

  x ≤ $35.20/0.8 . . . . . . . divide by 0.8

  x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44

Could someone help me with this geometry question

Answers

Answer:

54 degrees I think is correct

1.)Which inverse trigonometric function will determine the measure of angle A?
a. sin-1(5.46)
b. tan-1(0.98)
c. sin-1(1.02)
d. cos-1(0.18)

2.Find the value of sinY
a. 16/65
b. 63/65
c. 65/67
d. 67/65







Answers

Answer:

D, B

Step-by-step explanation:

Remember SOH-CAH-TOA:

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

In the first triangle, for angle A, 11 is the adjacent leg, 60 is the opposite leg, and 61 is the hypotenuse.  Therefore:

sin A = 60/61 = 0.98

cos A = 11/61 = 0.18

tan A = 60/11 = 5.45

So the correct answer is D.

In the second triangle, for angle Y, 16 is the adjacent leg and 65 is the hypotenuse.  To find the sine, we need to know the opposite leg.  So first, use Pythagorean theorem to find the opposite leg.

c² = a² + b²

65² = 16² + b²

4225 = 256 + b²

b² = 3969

b = 63

So the sine of Y is:

sin Y = 63 / 65

Answer B.

1. From the given right angle triangle, the adjacent side of angle A is 11 units.

The hypotenuse is 61 units.

We use the cosine ratio to get:

[tex] \cos(A) = \frac{adjacent}{hypotenuse} [/tex]

We substitute to obtain;

[tex]\cos(A) = \frac{11}{61} [/tex]

[tex]\cos(A) = 0.18[/tex]

[tex]A=\cos^{ - 1} (0.18)[/tex]

The correct choice is D.

2. From the given right triangle,

[tex]XZ^2 + {16}^{2} = {65}^{2} [/tex]

[tex]XZ^2 + 256 =4225[/tex]

[tex]XZ^2 =4225 - 256[/tex]

[tex]XZ^2 =3969[/tex]

Take positive square root

[tex]XZ=\sqrt{3969}[/tex]

[tex]XZ=63[/tex]

[tex] \sin(Y) = \frac{opposite}{hypotenuse} [/tex]

[tex]\sin(Y) = \frac{63}{65} [/tex]

The correct answer is B

Steve watched television for three over four hours are Monday and 5/6 hour on Tuesday how many longer did he watch television on Tuesday that on Monday

Answers

Answer:

1/12 hour

Step-by-step explanation:

Subtract 3/4 hr from 5/6 hr:  use the LCD 12:

Subtract 9/12 from 10/12 hr:  The difference is 1/12 hr.

Steve watched TV 1/12 hour longer on Tuesday than on Monday.  That's 5 minutes.

Please please help me

Answers

Answer:

Step-by-step explanation:

(Tangent Length)^2 = y*(y + 11)   You are going to have to use the quadratic formula on this.

Tangent Length = 7

7^2 = y * (y + 11)

49 = y^2 + 11y  

0 = y^2 + 11y - 49

a = 1

b = 11

c = - 49

When you solve this quadratic equation you get

x1 = 3.40 which is the answer you go with.

x2 = -14.40 which can't be used. A negative length has no meaning.

what is the inverse function f(x)=2x-10

Answers

y=2x-10

x=2y-10

x+10=2y

x+10/2=y

final answer: y=(x+10)/2

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{1}{2}x+5}[/tex]

Step-by-step explanation:

[tex]f(x)=2x-10\to y=2x-10\\\\\text{we exchange each other x and y}\\\\x=2y-10\\\\\text{solve for y}\\\\2y-10=x\qquad\text{add 10 to both sides}\\\\2y=x+10\qquad\text{divide both sides by 2}\\\\y=\dfrac{1}{2}x+5[/tex]

The equation of a parabola is given.



y=−1/4x^2+4x−19



What are the coordinates of the vertex of the parabola?

Answers

To find the vertex of a parabola given an equation, you can use the formula x = -b/2a to find the x-coordinate and then substitute it back to find the y-coordinate.

The equation of the parabola is given as y = -1/4x² + 4x - 19. To find the coordinates of the vertex, we use the formula x = -b/2a to find the x-coordinate, and then substitute it back into the equation to find the y-coordinate.

Here, a = -1/4 and b = 4. Plugging these values into x = -b/2a, we get x = -4/(2×(-1/4)) = 4. Substituting x = 4 back into the equation gives us y = -1/4(4)² + 4(4) - 19 = -1.

Therefore, the coordinates of the vertex of the parabola are (4, -1).

Please HELP MEEEEEEEEEEEEEEEEEE

Answers

Answer:

Choice c.

Step-by-step explanation:

The domain of a rational function is found where the denominator of the fraction is equal to 0.  These are the values that are NOT allowed.  We have to factor the denominator completely to find these values that make the denominator equal 0.  In other words, our denominator right now is:

[tex]x(x^2-16)[/tex]

we set each factor equal to 0:

x = 0 or

[tex]x^2-16=0[/tex]

The left side of that quadratic is the difference of perfect squares, so it factors into the 2 binomials:

(x + 4)(x - 4)

Setting each of those equal to 0 we can solve for the values of x that are not allowed:

If x + 4 = 0, then

x ≠ 4.

If x - 4 = 0, then

x ≠ -4

So the domain for this rational function is:

{x I x ≠ ±4, x ≠ 0},

which is c.

After constructing a relative frequency distribution summarizing IQ scores of college students, what should be the sum of the relative frequencies?

A. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.
B. If percentages are used, the sum should be 1%. If proportions are used, the sum should be 100.
C. If percentages are used, the sum should be 0. If proportions are used, the sum should be 0.
D. If percentages are used, the sum should be 100%. If proportions are used, the sum should be 100.

Answers

Answer:

Option A. If percentages are used, the sum should be a 100%. If proportions are used, the sum should be 1.

Explanation:

The relative frequency can be measured as a ratio (proportion) or as a percentage.

As a ratio, the relative frequency is the number of times that the desired outcome is observed (either theoretically or experimentally) divided by the total number of  possible outcomes (theoretically) or  observed (experimentally).

As a percentage, the relative frequency is the ratio multiplied by 100.

This shows it mathematically:

relative frequency of event 1 = frequency of event 1 / number of events

relative frequency of event 2 = frequency of event 2/number of events

relative frequency of event n = freqquency of event n/number of events

Total relative frequency = sum of of relative frequencies

                                       = sum of all (n) frequencies / number of events =

                                       = number of events / number of events = 1

As a percentage, total relative frequency = 1 × 100 = 100

Final answer:

In a relative frequency distribution, the sum of relative frequencies should equal 100% if expressed in percentages, or 1 if expressed in proportions. This signifies that all the data has been accounted for.

Explanation:

After constructing a relative frequency distribution, whether that is summarizing IQ scores of college students or analyzing other data sets, the sum of the relative frequencies will depend on the format in which they are expressed. The sum differs based on whether percentages or proportions were used.

If percentages are used to express the relative frequency, the sum of all percentages should be 100%. This indicates that 100% of the given data set has been account for in the distribution. This is true for all relative frequency distributions, not just those involving IQ scores.

If proportions are used, then the sum of all proportions should equal 1. A proportion is a part-to-whole comparison, where the total or whole is represented by the number 1.

So, the correct answer to your question is A. If percentages are used, the sum should be 100%, if proportions are used, the sum should be 1.

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If AB = 3 and BC = 7, AC =

Answers

Answer:

10

Step-by-step explanation:

you can add the short section (AB) and the longer section (BC) to get AC which is 3+7=10

According to basic geometric principles, the length of a continuous straight line is the sum of the lengths of its segments. Therefore, if AB = 3 and BC = 7, then AC = AB + BC, which equals 10.

In Mathematics, specifically in geometry, when we talk about points and lines, if AB = 3 and BC = 7, then the whole length of the line AC, which includes AB and BC, is simply the sum of AB and BC. Therefore, AC = AB + BC.

To calculate it, just add these two lengths together, 3 + 7, which equals 10. So, AC = 10.

This is a fundamental principle in math that when you have a continuous straight line divided into segments, the total length of the line is equal to the sum of the lengths of its segments. This can be easily visualized if you imagine a ruler, with AB being the first 3 units, and BC being the next 7 units. The total length AC represents all 10 units.

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The difference of two numbers is 29. The sum of the two numbers is 33. What are the two numbers?

Answers

Answer:

31,2

Step-by-step explanation:

we can represent the numbers with two variables, x and y.

So the difference of them is 29.

x-y=29

Their sum is 33.

x+y=33

we can find the answer with a system of equations.

[tex]\left \{ {{x-y=29} \atop {x+y=33}} \right.[/tex]

x=29+y                    x=31        S{31,2}

y+29+y=33

2y=4

y=2

Answer:

x=31, y=2. (31, 2).

Step-by-step explanation:

x-y=29

x+y=33

------------

x=y+29

y+29+y=33

2y+29=33

2y=33-29

2y=4

y=4/2

y=2

x-2=29

x=29+2

x=31

BRAINLIEST TO BEST ANSWER
plz explain*

Answers

Answer:

0

Step-by-step explanation:

-3x +4y = 20      Multiply this equation by 2.

======================

6x + 3y = 15

-6x + 8y = 40    Notice that -3 becomes -6, 4 becomes 8 and 20 becomes 40

=====================  Add

11y  = 55               The xs have disappeared. Divide by 11

y = 55/11

y = 5

=====================

6x + 3y = 15

6x + 3*5 = 15

6x + 15 = 15

6x = 15 - 15

6x = 0

6x/6 = 0/6

x =0

Answer:

0

Step-by-step explanation:

If you remove the label from this can, unroll it, and press it flat, what would the shape of the label be?

Answers

it’ll be a rectangle if im not mistaken

It would be a rectangle. Brainliest please!!

This is a multiple choice question. Not sure how to solve, mainly because my textbook confuses me. Would appreciate help!!


"Mary Ward recently leased a new convertible. The $1600 due at signing includes the title and license fee. Her monthly lease payments are $700 per month. The leasing company allows 12.000 miles per year with a $0.12 per mile overage charge. If the total lease cost is $26,800, for how many months does the lease last?"

a) 24
b) 36
c) 48
d) 60

Answers

Answer:   36 months

Step-by-step explanation:

total for car        $26,800

down payment - $  1,600

amount leased   $25,200

700 monthly divided into $25,200

700/25200 = 36

Please help me with this

Answers

This is a secant-tangent problem.

(Whole)(outside) = (tangent)^2

(x + 12)(x) = 8^2

x^2 + 12x = 64

x^2 + 12x - 64 = 0

In this quadratic equation, we see that a = 1, b = 12 and c = -64.

Plug those values into the quadratic formula and solve for x.

Answer:

x = 4

Step-by-step explanation:

Given a secant and a tangent drawn from an external point to the circle, then

The square of the measure of the tangent is equal to the product of the external part and the entire secant, that is

x(x + 12) = 8²

x² + 12x = 64 ( subtract 64 from both sides )

x² + 12x - 64 = 0 ← in standard form

with a = 1, b = 12 and c = - 64

Using the quadratic formula to solve for x

x = ( - 12 ± [tex]\sqrt{12^2-(4(1)(-64)}[/tex] ) / 2

  = ( - 12 ± [tex]\sqrt{144+256}[/tex] ) / 2

  = ( - 12 ± [tex]\sqrt{400}[/tex] ) / 2

x = [tex]\frac{-12-20}{2}[/tex] or x = [tex]\frac{-12+20}{2}[/tex]

x = - 16 or x = 4

However x > 0 ⇒ x = 4


URGENT PLEASE HURRY!!
1.)What is the perimeter of the shape?


12 feet

14 feet

26 feet

38 feet


2.)What is the perimeter of the shape?


30 inches

40 inches

60 inches

72 inches

Answers

Answer:

Perimeter for first shape = 38 ft

Perimeter for second shape = 40 inches ..

Step-by-step explanation:

First we will define the perimeter.

The continuous line which forms the boundary of a closed geometric figure.

To find the perimeter of any geometrical shape the lengths of its outer boundary lines are added.

So for the first shape with sides 10ft, 4ft, 3ft and 9ft, we don't know the lengths of two sides

1. The side parallel to the 10ft side

and

2. The side parallel to 9ft side.

So the lengths of side will be:

For 1,

10-3 = 7ft

For 2,

9-4= 5ft

the perimeter will be:

=> 10+4+3+9+5+7

=> 38 ft

And for the second shape with sides 6 in ,5 in, 4 in, 3 in, 2 in and 10 in,

the length of one unknown side will be 6 inches as it is parallel and equal in length to the side with 6 in length,

And the length of side that is parallel to the side with length 4 inches will be same.

The perimeter will be:

=>6+5+4+3+2+10+6+4

=> 40 inches

So,

Perimeter for first shape = 38 ft

Perimeter for second shape = 40 inches ..

1. The perimeter of shape is 33 ft.

2. The perimeter of the shape is 40 in ( option B)

The perimeter of a shape is the total length of its boundary or the sum of all its sides. It measures the distance around the shape and is calculated by adding the lengths of its individual sides.

1. The unknown side of the figure is calculated as;

10-3 = 7ft.

The perimeter of the figure is obtained by adding all the sides;

Perimeter = 10+7 + 4 + 3 + 9

= 33 ft.

Therefore the perimeter of the figure is 33ft.

2. The perimeter of the shape = 6 + 6+ 10+5+4+3+2+4 = 40 in

Which equation represents the line that passes through the points (6, 7) and (-3, -2)?

Answers

(6, 7) and (-3, -2)

1. Find the slope.

m = slope

m = (-2 -7)/(-3 -6)

m = -9/-9

m = 1

2. Plug the slope and one of the points into the equation y - y_1 = m(x - x_1).

y - 7 = 1(x - 6)

3. Solve for y.

y - 7 = x - 6

y = x - 6 + 7

y = x + 1

Answer is choice D.

A mathematical statement that two expressions are equal is called a(n) ______.

Answers

Answer:

an equation

Step-by-step explanation:

A mathematical statement that two expressions are equal is called an equation.

The word "equation" comes from the same root as "equality"...  so is two sides of an expression are of equal values, they form an equation, like A = B.

When both sides of a statement are not equal to each other, that is an inequality, meaning NOT equal, like A > B.

We have to fill the given statement. The term "equal" represent by sign "=" which shows that two expression are connected.

The given statement is correctly filled with equation.

Given:

The statement is given.

The term equation state that the two expression are equal that means left hand side of the expression and right hand side of expression are equal.

Whereas if the two equation are not equal then it is known as inequality.

Thus, the given statement is correctly filled with equation.

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Use the calculator to find the following to the nearest thousandth.

Sin 43° = _________

Question 24 options:

0.832


0.682


0.731


0.933

Answers

Answer:

Option 2 - 0.682

Step-by-step explanation:

Given : Expression [tex]\sin 43^\circ[/tex]

To find : Use the calculator to find the following expression to the nearest thousandth?

Solution :

Step 1 - Write the expression

[tex]\sin 43^\circ[/tex]

Step 2 -  Using calculator we find the value of [tex]\sin 43[/tex] in degrees.

[tex]\sin 43^\circ=0.6819[/tex]

Step 3 - Convert to the nearest thousandth

[tex]0.6819\approx 0.682[/tex]

Therefore, The value of the given expression is [tex]\sin 43^\circ=0.682[/tex]

So, Option 2 is correct.

HELP ASAP 50 POINTS!
What is the slope and y intercept of the equation of the graph?

Answers

Fine two pints that cross the x and Y axis to use to find the slope.

Slope is the change in Y over the change in x.

(-2,0) (0,3)

Slope = 3-0  /  0- -2 =  3/2

The slope is 3/2 and the Y - intercept is where it crosses the Y axis when X is o, which is 3

The answer is B.

Answer:

B.  m = 3/2; y-int = 3.

Step-by-step explanation:

The y intercept is the point where the line crosses the y-axis. That is  3.

The slope m = rise / run.

So if we take  the y-intercept and the x intercept it is 3/2.

What is the coefficient for the third term in the expansion?

Answers

Answer:

2196

Step-by-step explanation:

3^2 = 9

9+3^7 = 2196

ANSWER

21

EXPLANATION

The given by binomial expression is:

[tex]( {x}^{2} + y)^{7} [/tex]

Comparing this to

[tex](a+ b)^{n} [/tex]

We have:

[tex]n = 7[/tex]

[tex]a = {x}^{2} [/tex]

[tex]b = y[/tex]

The coefficient of the (r+1)th term is given by:

[tex] \binom{n}{r} [/tex]

We want to find the coefficient of the third term:

[tex]r + 1 = 3[/tex]

[tex]r = 2[/tex]

Therefore the coefficient is:

[tex]\binom{7}{2} = 21[/tex]

The coefficient of the third term is 21.

Another path in the community is 2.4 miles long. It has benches at 1/3 And 2/3 of the distance from beginning to end of the path. How far in miles (5280=one mile ) is each bench from the beginning of the path?

Answers

Answer:

0.8 and 1.6 miles respectively

Step-by-step explanation:

The two benches divide the length of the path into thirds.  The length of each third is 2.4 miles / 3, or 0.8 mile.

The first bench is at 0.8 mile from the beginning, and the second is at 2(0.8 mile), or 1.6 mile from the beginning.

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