Consider the expression 7x2 + 9 + 3x. Tell whether each statement is
True or False.
a. The expression has three terms.
b. The coefficient of x is 3.
c. The expression can be simplified to 10x2 + 9.
d. The constant term is 9.​

Answer:

-6 and -10.

Step-by-step explanation:

Added together you get -16, multiplied together results in 60.

The value of two numbers gives multiplied by 60, but added to -16 are - 10 and - 6.

Given that,

The multiplication of two numbers is 60

And, the addition of two numbers is - 16.

Let us assume that the two numbers are x and y.

Hence we get;

[tex]x y = 60[/tex]  ... (i)

And, [tex]x + y = - 16[/tex]  .. (ii)

From equation (ii);

[tex]y = - 16 - x[/tex]

Substitute the above values in (i);

[tex]x (- 16 - x) = 60[/tex]

[tex]- 16x - x^2 = 60[/tex]

[tex]x^2 + 16x + 60 = 0[/tex]

[tex]x^2 + (10 + 6)x + 60 = 0[/tex]

[tex]x^2 + 10x + 6x + 60 = 0[/tex]

[tex]x(x + 10) + 6 (x + 10) = 0[/tex]

[tex](x + 10) (x + 6) =0[/tex]

This gives two solutions,

[tex]x = - 10[/tex]

[tex]x = - 6[/tex]

Substitute x = - 10 in (ii);

[tex]x + y = - 16[/tex]

[tex]- 10 + y = - 16\\y = - 16 + 10\\y = - 6[/tex]

Substitute x = - 6 in (ii);

[tex]x + y = - 16[/tex]

[tex]-6 + y = - 16\\y = - 16 + 6\\y = - 10[/tex]

Therefore, both the numbers are - 10 and - 6.

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Answer:

(pq)/2

Step-by-step explanation:

p and q are the diagonals of the kite

Answer:

Area = (1/2) * (Diagonal_1)*(Diagonal_2)

where Diagonal_1 is one diagonal in the kite

and Diagonal_2 is 2nd diagonal in the kite

Step-by-step explanation:

The diagonals of a kite intersect at right angles and one diagonal bisects the other.

so you get two triangles, with a base length of (Diagonal 1)

the height_1 = a ,  height_2 = b

a + b = Diagonal_2

area of one triangle in Kite = (1/2)(Diagonal_1)*a

area of second triangle in Kite = (1/2)(Diagonal_1)*b

area of kite = area of triangle_1 + area of triangle_2

area of kite =  (1/2)(Diagonal_1)*a + (1/2)(Diagonal_1)*b

area of kite = (1/2)*(Diagonal_1)*(a + b)

Area of kite = (1/2) * (Diagonal 1)*(Diagonal2)

Answer:

Tan 144

Step-by-step explanation:

Because they have the same answer when typed in a calculator

Answer:

It is -tan(36

Step-by-step explanation:

Answer:

Slope = 0

Step-by-step explanation:

The slope is zero because it is a straight horizontal line. If it is a straight vertical line, the slope is undefined.

hope this helps :)

Answer:

-19

Step-by-step explanation:

If c = -4 and y = 3, replace c and y with their corresponding values in the expression, so that the expression will look like this: (-4) - (5 * 3).

Since multiplication comes before subtraction in PEMDAS, you would multiply 5 by 3, which gets you 15.

Now the expression is (-4) - (15). Then, you do the subtraction. -4 - 15 is equal to -19.

Does that help?

Final answer:

The expression c-5y evaluates to -19 when substituting c = -4 and y = 3.

Explanation:

To evaluate the expression c-5y when c = -4 and y = 3, we replace c with -4 and y with 3 in the expression. The value of the expression is -19, which is obtained by performing the arithmetic: (-4) - 5(3) = -4 - 15 = -19. Therefore, when c is -4 and y is 3, the expression c-5y yields -19.

This problem belongs to the topic of algebraic expressions, and this question demonstrates the importance of substitution to find the value of algebraic expression. This property is used has many applications in science and daily life.

Answer: A

Step-by-step explanation:

[tex]5x+3=4x[/tex]

Subtract 5x from both sides to isolate x's on one side and independent values on the other

[tex]-5x+5x+3=4x-5x[/tex]

[tex]3=-x[/tex]

Multiply by -1 to make x positive

[tex]-3=x[/tex]

Answer:

The slope is -3 and the y intercept is -2

Step-by-step explanation:

y +3x = -2

We want this in slope intercept form

y = mx+b where m is the slope and b is the y intercept

Subtract 3x from each side

y +3x-3x = -3x-2

y = -3x-2

The slope is -3 and the y intercept is -2

Answer:

the slope is -3 and the y intercept is -2

Step-by-step explanation:

y+3x=-2

you want to transform the equation into slope intercept form: y= mx+b

subtract 3x from both sides

y= -3x-2

hope this helps :)

Answer:

B

Step-by-step explanation:

because a hyperbola is a symmetrical open curve formed by the intersection of a circular cone with a plane at a smaller angle with its axis than the side of the cone. and if you view  the picture its the same thing

Answer:

c

Step-by-step explanation:

The plane only intersects one cone and is parallel to n.

So it has to be a parabola.

Answer:

The aquarium is 1.5 * 6 * 2 = 18 cubic feet

Water measures 7.5 gallons per cubic foot, then the aquarium can hold

(7.5 * 18) = 135 gallons

**************************

By the way, there are 7.48052 gallons per cubic foot to be EXTREMELY accurate.

Step-by-step explanation:

Answer: 9 weeks

Step-by-step explanation:

First, we would have to set up an equation.

468 - 9w = 18 + 66w

The variable w stands for weeks.

We need to figure out when their bank account will become equal.

So, we need to solve for w.

First, let’s combine like terms. I will move 9w to the other side.

468 = 18 + 66w + 9w

Then simplify:

464 = 18 + 55w

Then, do the same as you did before, just move the 18 to the other side. Keep in mind that when a number switches sides, it’s switches signs (from negative to positive or positive to negative)

464 + 18 = 55w

482 = 55w

To isolate the variable, you would have to divided 55w by 55. Keep in mind, what you do to one side of an equation you must do to the other.

482/55 = 55w/55

8.76 = w

When you round to the nearest whole number, it will be 9 weeks.

Therefore, it will take 9 weeks for them to have the same amount of money in the bank.

The required circumference of circle up to 1 decimal place is 70.4.

Radius = 11.2 cm
π = 3.142
The circumference of the circle is to be determined.

The circumference of object is its boundary measure.

Here, Circumference of circle = [tex]2\pi r[/tex]
                                              = 2 x 3.142 x 11.2
                                              = 70.4

Thus, the required circumference up to 1 decimal place is 70.4.

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Answer:

see below

Step-by-step explanation:

A = P (1 + r) ^t

A is the amount in the account

P is the principle or the amount invested

r is the interest rate

t is the time

A = 5000 (1 + .055)^15

     5000(2.23247)

Rounding to 2 decimals since we round to the nearest penny

      11162.38

Answer: A

Step-by-step explanation:

XD

Answer:

22.7777777778

Step-by-step explanation:

Answer:

22.7777777778

Step-by-step explanation:

Answer: No, it's not possible as every triangle is 180 degrees. These angles add to 220 degrees which is more than 180.

Step-by-step explanation:

This is backed by the Triangle Sum Theorem which states that the three interior angles of any triangle add up to 180 degrees.

It's impossible to form a triangle with angles measuring 90, 30, and 100 degrees because the sum of those angles exceeds 180 degrees, which violates the rule that the sum of all angles in a triangle must equal 180 degrees.

No, it is not possible to create a triangle with angle measures of 90 degrees, 30 degrees, and 100 degrees. This is because the sum of the angles in any triangle always equals 180 degrees. If you add up 90, 30, and 100, you get a sum of 220 degrees, which exceeds the 180-degree rule of triangles.

To understand this concept better, let's take a look at an example. In a right triangle, which is a triangle where one of the angles measures 90 degrees, the other two angles must add up to 90 degrees to satisfy the 180-degree rule. So, if we have a right triangle with one angle of 90 degrees and another angle of 30 degrees, the third angle would have to be 60 degrees (180 - 90 - 30), not 100 degrees.

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A) center: (-3, 2)

B) radius: √65

C) equation: (x +3)² +(y -2)² = 65

Answer:

4044

Step-by-step explanation:

14 × (pi × d)

14 × 3.14 × 92

4044.32 feet

Answer:

3 < x

Step-by-step explanation:

3(8 - 4x) < 6(x - 5)?

Distribute

24 -12x< 6x -30

Add 12x to each side

24-12x+12x < 6x+12x-30

24 < 18x-30

Add 30 to each side

24+30 < 18x-30+30

54 < 18x

Divide each side by 18

54/18 < 18x/18

3 < x

We have been given that a cylinder was enlarged by a scale factor of 4. The new volume is 2,240 cubic units. We are asked to find the volume of original cylinder.

We know that a cylinder is a three dimensional object. Since scale factor is 4, so each side of new cylinder will be 4 times the side of original side of cylinder.

Due to 3 dimensions, the volume of new cylinder is [tex]4^3[/tex] times the volume of original cylinder.

[tex]\text{Volume of original cylinder}\times 4^3=\text{Volume of new cylinder}[/tex]

[tex]\text{Volume of original cylinder}\times 64=2240[/tex]

[tex]\frac{\text{Volume of original cylinder}\times 64}{64}=\frac{2240}{64}[/tex]

[tex]\text{Volume of original cylinder}=35[/tex]

Therefore, the volume of the original cylinder is 35 cubic units.

Answer:

ok i agree

Step-by-step explanation:

Answer:

Length of area is 857.14 ft

Width of area is 857.14 ft

Length of dividing fence is 857.14 ft

Step-by-step explanation:

Here we have

Area of rectangle = Length × Width

The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;

Length of rectangle = Width of rectangle = x

Hence,  the perimeter of the area = 4·x, while the width of the dividing fence = x

Therefore, since the we have;

Cost of the perimeter fence = $15/foot

Cost of the dividing fence = $10/foot

Then;

4·x × 15 + x × 10 = 60000

60·x + 10·x = 60000

x = 60000/70 = 857.14 ft

Which gives the following dimensions;

Length of area = 857.14 ft

Width of area = 857.14 ft

Length of dividing fence = 857.14 ft.

Answer: No hay

Step-by-step explanation:

5 es producto de 5*1 y 1*5 solamente por lo tanto no hay número que sumado de 7

Answer: [tex]\frac{5}{36}[/tex]

Step-by-step explanation:

Given

dice with Prime number is rolled

The number on the face of dice are 2,3,5,7,11 and 13

Probability of getting a product of 4 is [tex]\frac{1}{36}[/tex]

Now probability of getting product has a unit digit one is possible when outcome is

[tex](3,7),(7,3),(13,7),(7,13),(11,11)[/tex]

i.e. there are 5 favorable outcomes

So probability is [tex]\frac{5}{36}[/tex]

Answer: y=3tan(x)+2

Step-by-step explanation:

Answer:

y=3 tan(x)+2

Step-by-step explanation:

just did it on ed

Answer:

The z-score of a teenage with waist size 33 inch is 2

Step-by-step explanation:

Mathematically, the z-score can be calculated using the formula;

z-score = (x- mean)/SD

where mean = 29 inches , SD = 2 inches and x = 33 inch

Plugging these values, we have

z-score = (33-29)/2 = 4/2 = 2

The z-score of a teenage male with a33 inch waist is 2.

Given that,

Based on the above information, the calculation is as follows:

[tex]= (33-29)\div 2 \\\\= 4\div 2[/tex]

= 2

Therefore we can conclude that The z-score of a teenage male with a33 inch waist is 2.

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Answer: g(x) is -x² -3

Step-by-step explanation:

First, you know that the parabola is facing downwards, so the x must be negative.

Next, it is 3 units down from the parent graph, which adds that -3.

All of these add up to get your final equation:

g(x) is -x² -3

The point (4, π/6)  can also be represented by the polar coordinates (-4, 7π/6).

We have given that,

a. (-4, 7π/6)

b.(4, 5π/6)

c. (4, -π/6)

d. (-4, 13π/6)

We have to determine the point (4, π/6) that can also be represented by which of the following polar coordinates.

The polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.

The point (4, π/6)  can also be represented by the polar coordinates (-4, 7π/6).

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Final answer:

The point (4, π/6) can also be represented by (-4, 7π/6), utilizing the polar coordinate system's symmetry by extending the radius to the negative side and adding π to the angle.

Explanation:

The point (4, π/6) in Cartesian coordinates corresponds to a point in the first quadrant since the radius is positive and the angle is positive, which is less than π/2. When we want to find an equivalent set of polar coordinates, we can utilize the symmetry of the polar coordinate system.

The point can also be represented by the coordinates (-4, 7π/6) because if you extend the radius to the negative side (so it becomes -4) and add π radians (180 degrees) to the angle, the point ends up in the same location, albeit in the third quadrant. Therefore, the correct answer is a. (-4, 7π/6).

Answer:

Greg pays more interest than Linda

He pays $17.45 more

Step-by-step explanation:

Greg

P=$1975

R=5%=0.05

T=3 years

Simple interest=P×R×T

=$1975×0.05×3

=$296.25

Linda

P=$1975

r=4.5%=0.045

n=1

t=3

Linda's Interest is compounded once per period, so we this formula

Compound Interest =P(1+r)^t

=$1975(1+0.045)^3

=$1975(1.045)^3

=$1975(1.141166125)

=$2,253.80

Interest paid=$2,253.80-$1975

=$278.8

Answer:

$659.25

Step-by-step explanation:

Since its 25 percent off we need to see what it would look as a decimal

1-.25=.75

879times.75= 659.25

Answer:

224.25

Step-by-step explanation:

think of quarters, one is 25 cents, and it takes four to make a dollar. Then if you have a dollar and you want a quarter of it, you divide the dollar by 4, divide $879.00 by four to get 224.25!

Answer:

C =75.36 m

A =452.16 m^2

Step-by-step explanation:

The circumference is found by  where r is the radius and pi = 3.14

C = 2 * pi *r

C = 2 * 3.14 * 12

C =75.36 m

The area is found by

A = pi r^2

A = 3.14 * 12^2

A =452.16 m^2

Answer:

Circumference: 12.56 m

Area: 452.16 m²

Step-by-step explanation:

Circumference:

2 × 3.14 × 12

12.56 m

Area:

3.14 × 12²

452.16 m²