Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function

Answer:

Yes its true its a straight line

A triangular prism is a prism composed of two triangular bases and three rectangular sides

Answer:

2nd number line

Step-by-step explanation:

When there is an absolute value inequality of the form  |x+a| ≥ b,

We can say that the solution set (in a number line) would be:

Keeping these points in mind,

|x+3| ≥ 2

we start from x = -3

we go 2 units left and right, so we arrive at x = -5 and x = -1

then we draw arrows to both sides

looking at the choices, we see 2nd answer choices (graph) portrays it correctly.

Answer:

b

Step-by-step explanation:

Answer:

6 x 10 to the -6 power

Step-by-step explanation:

Moved the decimal to the right 6, since less than 0 its negative

Answer: Translated (Option C)

Step-by-step explanation:

Two similar triangles  RST was then dilated, to create triangle ZXY.

For dilation, translation should be done.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

As, ΔRST was dilated to form ΔZXY.

But, this can be done by translation , to create ΔZXY

The following information:

Since Triangle ΔZXY is slightly higher and to the right of triangle ΔRST.

So it should be translated.

so, that it could be dilated for ΔZXY.

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Like last time, we substitute in each one until we find one we see can't work, or just look at them and choose the one that doesn't look right.

D in this case doesn't look right, so we can substitute it in:

-8+8=8

That isn't true, that equation would equal 0.

Hope I helped (again), sorry if I'm wrong!

~Mschmindy

D. (-2,4) is the answer?

ANSWER

[tex]y = {( - x)}^{3} - 4[/tex]

EXPLANATION

The parent or base function is

[tex]y = {x}^{3} [/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^{3} - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

[tex]y = {( - x)}^{3} - 4[/tex]

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

The parent or base function is

[tex]y = {x}^(3)[/tex]

This function has its y-intercept at the origin.

It has been transformed vertically so that its y-intercept is now at -4.

This is a transformation of the form

[tex]y = {x}^(3) - k[/tex]

where k=4.

The function is also reflected in the x-axis.

The new function is

a) [tex]y = {( - x)}^(3) - 4[/tex]

Parallel lines have the same slope so the equation will have the same slope. The y-coordinate is the new y-intercept, so the equation is y = 3x + 8

Hope this helps

Answer:

y = 3x + 5

Step-by-step explanation:

Line y = 3x - 8; slope = 3

Parallel lines, slope is the same so slope of the line that parallel to the line y = 3x - 8 is also 3

Passing thru (1,8)

y - 8 = 3(x - 1)

y - 8 = 3x - 3

y = 3x + 5

Answer:

y = 3x + 5

Answer:

She read 366 books and she was gone for 6 hours.

Step-by-step explanation:

216+150=366

5+1=6

Final answer:

Jenna read a total of 366 books, combining both the comics and novels. She was gone for 6 hours in total when visiting her friend Emilia and going shopping.

Explanation:

Jenna read a total of 216 comics and 150 novels. To find how many books she read, you simply add these two numbers together:

216 comics

+ 150 novels

216 + 150 = 366 books.

For the second part of the question, Jenna spent 5 hours at Emilia's house and went shopping for 1 hour. To find out how many hours she was gone, you add the two durations of time:

5 hours at Emilia's house

+ 1 hour shopping

5 + 1 = 6 hours gone.

The area is 10 :) hope that helps

Edit:

Reason:

(a+b)/2 * h is the formula plug in the numbers and you get:

(4+6)/2 * 2

10/2 * 2

5 * 2

= 10 feet.

Answer:

a. true: 3    false: -5

b. true: 9    false: 2

c. true: 1/3  false: 1

d. true: 2    false: 3

I hope this helps!

Answer:

Prime numbers are whole numbers that multiply itself by 1 and they cannot be multiplied by other numbers.

Some examples of prime numbers would be: 1, 2, 3, 5, 7...

Answer:

vertical translation of - 6

Step-by-step explanation:

given f(x) = 3x + 3

then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift of c units up ↑

• If c < 0 then a shift of c units down

shift from + 3 to - 3 is a vertical shift of 6 units down

12.5° or 13° depends how your teacher wants the answer. 4x-2 = 48

4x = 50

X = 12.5°

From the diagram, since[tex]$\angle AHK$[/tex]  and [tex]$\angle EHB$[/tex]  are supplementary angles, we have [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex] Solving for x, we get [tex]$x = \boxed{33.5}$.[/tex]

From the diagram, we see that angles [tex]$\angle AHK$[/tex] and [tex]$\angle EHB$[/tex]  are supplementary angles.

Therefore, we have the equation [tex]m\angle AHK + m\angle EHB = 180^\circ$.[/tex]

Substituting in the values that are given, we get [tex]48^\circ + (4x-2)^\circ = 180^\circ$.[/tex]

Simplifying both sides of the equation, we get [tex]4x-2 + 48 = 180$.[/tex]

Subtracting 46 from both sides of the equation, we get [tex]4x = 134$.[/tex]

Dividing both sides of the equation by 4, we get

[tex]x = \boxed{33.5}$.[/tex]

For similar question on supplementary angles.

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Answer:D

Step-by-step explanation:

You subtract 8-3 which is 11c and then you add 2 to 6 which is 8

Answer:

5c+5, A

Step-by-step explanation:

This is because 8c is combined with the negative 3c to make 5 c. 6 c is combined with negative 2 to creat positive 4.

Length: 2w - 5

Width: w

2(2w - 5) + 2w = 44

Distribute:

4w - 10 + 2w = 44

Combine like terms:

6w - 10 = 44

Move 10 to the other side:

6w = 54

Divide by 6:

w = 9, which is the width. That means that 13 is the length.

To find the dimensions of the rectangle, we can set up a system of equations and solve for the width and length. By using the formula for the perimeter of a rectangle, we can find the values of the dimensions.

To solve this problem, we can set up a system of equations based on the given information. Let's assume that the width of the rectangle is 'w', and since the length is 5 less than double the width, we can express the length as '2w - 5'. The perimeter of a rectangle is given by the formula 2(length + width), so we can use this formula to set up an equation:

2(2w - 5 + w) = 44

Simplifying this equation, we get 6w - 10 = 44. Solving for 'w', we find w = 9. Substituting this value back into the expression for the length, we find the length is 13.

Therefore, the dimensions of the rectangle are width = 9 and length = 13.

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Answer:

DNE.

Step-by-step explanation:

8x - 2y = 1 ---------------------(1)

-4x+ y  = 3----------------------(2)

Multiply (2) by 2

-8x +2y    = 6 -----------------(3)

Add (1) to (3)

8x - 2y + (- 8x + 2y) = 1+6

8x - 2y - 8x +2y  = 7

But all the terms in LHS cancel out, leaving 0.

So you get 0=7, which is not valid.

Therefore no solution exists. DNE

There is no solution to the system of equations.

To solve the system of equations:

8x - 2y = 1

-4x + y = 3

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im not sure but pie is 3.14

Answer:

60 percent.

Step-by-step explanation:

Answer:

To find the solutions to the system of equations we need to graph the following equations:

y = 8 - 4x (Red line)

y = 2x - 4 (Blue line)

The point of interception, is the solution to the system of equations.

By looking at the graph attached, you can see that the point of itersection is at (2,0)

Answer:

both lines intercept at (2,0) which would be the second graph (B)

Step-by-step explanation:

Answer:

18 points

Step-by-step explanation:

We first need to find the percent increase for both Iliana an Fiona.

To do so, we take the absolute value of difference (the score increase) and we compare/divide it by the original score they had.

So, for Iliana, we have a starting score of 65 and an increase of 21 (86-65).

Her percent of increase is 21/65 = 32.3%

For Fiona, she went from 70 and had a 10 points increase (80-70).

Her percent of increase is 10/70 = 14.3%

The difference between the two percent of increase is 18 points (32.3 - 14.3)

Answer with Step-by-step explanation:

Percentage increase in score is calculated by the formula:

[tex]\dfrac{New\ score-Old\ score}{Old\ score}\times 100[/tex]

Iliana’s math grade increased from 65 to 86.

Percentage increase in Iliana's score is:

[tex]\dfrac{86-65}{65}\times 100[/tex]

=[tex]\dfrac{21}{65}\times 100[/tex]

=32.31%

Fiona’s math grade increased from 70 to 80.

Percentage increase in Fiona's score is:

[tex]\dfrac{80-70}{70}\times 100[/tex]

=[tex]\dfrac{10}{70}\times 100[/tex]

=14.28%

Difference between percentage increases=32.31%-14.28%

                                                                       = 18.03%

Hence, difference, rounded to the nearest whole number, between the approximate percent increases is:

18%

Answer:

Number 7 is phototropism due to the growth towards the sun and number 8 is Mitochondria as it provides atp which is currency for energy

7 is B

8 is A

Hope this helps :)

Answer:

16

Step-by-step explanation:

To find the term needed, use the binomial formula.

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

Let 8x = 2ab, a is by default x, which leaves us with:

8x = 2xb

8 = 2b

b = 4

And by the binomial formula add [tex]b^2[/tex] to both sides, namely 16.

[tex]x^2 + 8x + 16 = 17 + 16\\(x+4)^2 = 33[/tex]

Answer:

82.6%

Step-by-step explanation:

Conditional probability is defined as:

P(A|B) = P(A∩B) / P(B)

where P(A|B) is the probability of A on the condition of B, P(A∩B) is the probability of both A and B, and P(B) is the probability of B.

Here, we want P(P|K), so:

P(P|K) = P(P∩K) / P(K)

P(P|K) = 0.019 / 0.023

P(P|K) = 0.826

82.6% of the members in the key club are also enrolled in AP Physics.

Answer:

36 cups

Step-by-step explanation:

every 20 minutes you make 12 cups. 20×3=60, which is 1 hour. You will meed to make 3 pots of coffee that are 12 cups each, 3×12=36

The cups would you serve per hour is 36.

We have given that,

In your job at a restaurant, you made a 12-cup pot of coffee at 7:20 a.m. By 7:40 a.m.

one hour contains a 60 inutes

That is the 1 hour=60 minutes.

Every 20 minutes you make 12 cups.

20×3=60, which is 1 hour.

You will need to make 3 pots of coffee that are 12 cups each

3×12=36

Therefore, the cups would you serve per hour is 36.

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The y-intercept is the y value when x = 0, or (0 , y)

Based on the graph, your y-intercept is at (0 , 2) or 2

The slope(m) can be found using the slope formula and plugging in 2 points:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

But if you look at the answer choices, if the slope is positive, the line would be going up and to the right

If the slope is negative, the line would be going down and to the right

your answer is A

Answer:

Step-by-step explanation:

The domain of this relation includes one each of the various x-values:  {4, 5, 6, 8}; do not included 4 twice.

The domain is the x’s

Answer:

Step-by-step explanation:

Answer: Im pretty sure A. x=-6 and y=-4

Answer:

X= -6

Y=-4

Is the Answer A

Answer: symmetric or reflexive

Step-by-step explanation:

I'm not forsure but I believe that these are the two options bc the other two aren't forsure sorry dude I'm trying :0