How is the graph y=7x^2+4 different from the graph of y=7x^2

Answer:  The required scale factor that is used for the dilation is 3.

Step-by-step explanation:  Given that the rectangle ABCD is transformed to A'B'C'D' by a dilation.

We are to find the scale factor that is used for the dilation.

We know that

the scale factor of dilation is defined as

[tex]S=\dfrac{\textup{the length of a side of the dilated figure}}{\textup{the length of the corresponding side of the original figure}}.[/tex]

From the graph, we see that

in rectangle ABCD, the length the side AB is 2 units

and

the length of the corresponding side A'B' in the dilated rectangle A'B'C'D' is 6 units.

Therefore, the scale factor of dilation is given by

[tex]S=\dfrac{A'B'}{AB}=\dfrac{6}{2}=3.[/tex]

Thus, the required scale factor that is used for the dilation is 3.

To solve the equation 9|9-8x|=2x+3, follow these steps: remove the absolute value by considering both positive and negative cases, combine like terms, solve for x, and simplify the solutions.

To solve the equation 9|9-8x|=2x+3, we need to isolate the variable x. Let's start by removing the absolute value by considering both positive and negative cases.

Case 1: Positive

9-8x = 2x+3

Combine like terms: -8x - 2x = 3 - 9

-10x = -6

Divide both sides by -10: x = -6/-10

Simplify: x = 0.6

Case 2: Negative

-(9-8x) = 2x+3

Distribute the negative sign: -9+8x = 2x+3

Combine like terms: 8x - 2x = 3 + 9

6x = 12

Divide both sides by 6: x = 12/6

Simplify: x = 2

Therefore, the solutions to the equation are x = 0.6 and x = 2.

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Answer: 2(x+3)(x+3)

i just took the test

Answer:

line HJ

Step-by-step explanation:

we know that

The equation of the line that has a slope of [tex]3[/tex] and a y-intercept at [tex](0, 0)[/tex] is equal to

[tex]y=3x[/tex] -----> is a proportional relationship

Remember that

If two lines are parallel , then their slopes are the same

Find the slope of the line HJ

[tex]H(-1,-4), J(1,2)[/tex]

The formula to calculate the slope between two points is equal to

[tex]m=\frac{2+4}{1+1}[/tex]

[tex]m=\frac{6}{2}[/tex]

[tex]m=3[/tex]

therefore

The line HJ is parallel to the line [tex]y=3x[/tex]

None of the given points is the solution to the inequality y < -|x|.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given inequality,

y < -|x|

As per the given below, the dotted line is not included in the region thus, point (1,-1) is not included.

Hence "None of the given points is the solution to the inequality y < -|x|".

For more about inequality,

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Answer:

Hmmm... interesting on my final I answered B: a=14, b=8 and got it wrong but, when I did it again I got C: a=17, b=6

Step-by-step explanation

Answer:

The value of a=17 cm and b=6 cm

C is correct option.

Step-by-step explanation:

Given: FGHJ is a kite.

Kite has property their adjacent sides are equal. Top two side of the kite is equal and bottom two side of the kite is equal.

FG=GH because ∠F=∠H.

30=2a-4

2a=34

a=17 cm

Similarly, ∠F=∠H

FJ=HJ

3b+6=24

3b=18

b=6 cm

Hence, The value of a=17 cm and b=6 cm

Answer: $25

Step-by-step explanation: you are not trying to make a profit. You are just trying to cover your cost and they cost $25 to make.

Answer: Certain

Step-by-step explanation:

A probability is from 0 - 1, if not 0 or 1 it is a fraction, percentage, or decimal. 100% also equal to 1 is the highest amount you can get, therefore the answer is certain.

Answer:

1,890 is the sum of the first 30 terms of the equation .

Step-by-step explanation:

[tex]a_n=4n+1[/tex]

if , n = 1

[tex]a_1=4\times 1+1=5[/tex]

If, n = 2

[tex]a_2=4\times 2+1=9[/tex]

If, n = 3

[tex]a_3=4\times 3+1=13[/tex]

The arithmetic sequence comes out to be:

5, 9, 13........

a = 5

d = [tex]a_2=a_1=9-5=4[/tex]

The sum of first 30 terms is given by:

[tex]S_n=\frac{n}{2}\times (2a+(n-1)d)[/tex]

[tex]S_{30}=\frac{30}{2}\times (2\times 5+(30-1)\times 4)[/tex]

[tex]S_{30}=1,890[/tex]

1,890 is the sum of the first 30 terms of the equation .

To graph the equation y = 4/5x - 7, plot the y-intercept at -7 and use the slope to find a second point before drawing a line through the two points.

To graph the equation y = 4/5x - 7, follow these steps:

The correct expression representing the volume of the pyramid is:

[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]. Therefore the correct option is 2.

The volume [tex]\( V \)[/tex] of a pyramid is given by the formula:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

For a square pyramid, the base area is given by [tex]\( \text{Base Area} = \text{side length}^2 \)[/tex].

In this case, the side length is [tex]\( x \)[/tex] and the height is [tex]\( y \)[/tex]. Therefore, the expression for the volume [tex]\( V \)[/tex] is:

[tex]\[ V = \frac{1}{3} \times x^2 \times y \][/tex]

Now, let's compare this with the given options:

1. [tex]\( \frac{1}{3}xy \)[/tex] cm³

2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³

3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³

4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³

Now, we can see that the correct expression representing the volume of the pyramid is:

[tex]\[ \frac{1}{3}x^2y \, \text{cm}^3 \][/tex]

So, the correct option is option 2: [tex]\( \frac{1}{3}x^2y \)[/tex] cm³.

The correct expression representing the volume of the pyramid is:

[tex]\[ \frac{1}{3} \times x^2 \times y \[/tex]

Complete question:

A solid right pyramid has a square base with an edge length of x cm and a height of y cm. Which expression represents the volume of the pyramid?

1. [tex]\( \frac{1}{3}xy \)[/tex] cm³

2. [tex]\( \frac{1}{3}x^2y \)[/tex] cm³

3. [tex]\( \frac{1}{2}xy^2 \)[/tex] cm³

4. [tex]\( \frac{1}{2}x^2y \)[/tex] cm³