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Answer:

-50

Step-by-step explanation:

The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.

So, we will use the endpoints of the function.

At x=0, f(x)=150. Thus, we have the point (0, 150).

At x=3, f(x)=0. Thus, we have the point (3, 0).

Now, we can use the slope formula:

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

Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:

[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]

Therefore, the average rate of change for the first three seconds is -50.

Answer: x = -10

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x= -10

Step-by-step explanation:

7x-4(-4x-16)=-166 foil the ()

7x+16x+64= -166  combine terms

23x+64= -166  subtract 64 to both sides

23x= -230  divide by 23

x= -10

Answer:

Step-by-step explanation:

all the sides are different than the other on the bottom of the  shape  the sizes have longer sides and one short at the bottom.

Answer:

14

Step-by-step explanation:

Answer:

9x= 360 -180

x= 180/9

x= 20°

Answer:

x = 30

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540, that is

x + 106 + 90 + 74 + 8x = 540, simplify

9x + 270 = 540 ( subtract 270 from both sides )

9x = 270 ( divide both sides by 9 )

x = 30

Answer:

The width of the garden is 25 feet

The length of the garden is 60 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle

= P = 2L + 2W

Where L = Length, W = Width

The length of the garden is 10 feet more than twice its width.

P = 170

L = 2W + 10

Hence,

170 = 2(2W + 10) + 2W

170 = 4W + 20 + 2W

Collect like terms

170 - 20 = 6W

150 = 6W

W = 150/6

W = 25 feet

The width of the garden is 25 feet

Remember

L = 2W + 10

L = 2(25) + 10

L = 50 + 10

L = 60 feet

The length of the garden is 60 feet

Answer:

C. 8.7 m/s

Step-by-step explanation:

Answer:

8.7 m/s

Step-by-step explanation:

correct on edge 2021

Answer:

A: Corresponding

B: Alternate interior

C: Corresponding

D: Alternate exterior

E: Same side interior

Step-by-step explanation:

A: One angle is on the interior and one is on the exterior and they are both on the same side of the transversal which makes them corresponding angles

B: Both are in the interior just on opposite sides of the transversal

C: See answer to A

D: Both are on the exterior and they are on opposite sides of the transversal which makes them alternate exterior

E: Both are on the interior on the same side of the transversal which makes them same side interior.

Answer:

The top right one

Step-by-step explanation:

It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one

Answer: It is the top right.

Step-by-step explanation:

Answer: -0.35

Step-by-step explanation:

Answer:

- 0.35

Step-by-step explanation:

4.2 / 12 = 0.35

But you would put a negative sign at the end because the 4.2 was a negative but not the 12. (When only one number is negative in an equation the answer also has to be negativ.)

Answer:

well, each right angle is divided into 90 equal parts where each part & it's called degrees

each degree is then divided into 60 equal parts where each part is called a minute

each minute is divided again into 60 equal parts where each part is called a second.

Step-by-step explanation:

Answer:

They are all right

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(x) = 4x- 11

f(5) = 4(5) - 11

f(5) = 20- 11

f(5) = 9

Answer:

IV

Step-by-step explanation:

The Y column is the same, and so is the graph.

Answer:

Part A: Figure 1 → Figure 4

Rigid Transformation

Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation

Part B: Figure 2 → Figure 5

Similarity transformation

Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation

Step-by-step explanation:

Part A: Figure 1 → Figure 4

The coordinates of the vertices of the preimage are;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image are;

(-9, -2), (-2, -4), (-5, -10)

Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin

Part B: Figure 2 → Figure 5

The coordinate points of figure 2 are;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 are;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 are;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 are;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2

Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°

We have;

Figure 5 is obtained as follows;

1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as follows;

(9, -2), (5, -10), and (2, -4)  → (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of 1/2  with a center of dilation of (1, 2) to get;

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

Answer:

Line B

Step-by-step explanation:

Line is between a lot of the dots. Even though it's not directly on any of them, it still is around the them

Answer:

Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package

Step-by-step explanation:

The given parameters are;

The number of stamps Lashawn used to mail the small package = 44

The price of the combination of 44 stamp = $15.01

The price categories of the stamps are $0.50, $0.35, and $0.02

The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9

Let, x represent the number of $0.50 stamps Lashawn used to mail the package

We have;

The number of $0.50 stamps Lashawn used to mail the package = x

The number of $0.35 stamps = 2 × x - 9 = 2·x - 9

The number of $0.35 stamps = 2·x - 9

The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x

The number of $0.02 stamps = 53 - 3·x

Which gives;

0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01

0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01

1.14·x - 2.09 = 15.01

1.14·x = 15.01 + 2.09 = 17.1

x = 17.1/1.14 = 15

x = 15

The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps

The number of $0.50 stamps Lashawn used = 15 stamps

The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps

The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.

Answer:

x=-5

y=2

z=-4

Step-by-step explanation:

we can solve this by elimination and substitution method.

Answer:

counted down

Step-by-step explanation:

it was counting up and went down by couting down in 2

Answer:

The domain of R = [-2, ∞)

Step-by-step explanation:

We know that the domain of a function is the entire set of input values for which the function remains real and defined.

Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.

i.e. [-2, ∞) is the interval.

It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.

Therefore, the domain of R = [-2, ∞)

Answer:

5 dollars

Step-by-step explanation:

Answer:

The price of an adult ticket is $5

Step-by-step explanation:

5*5=25

31-25=6

4*5=20

62-20=42

42÷7=6

Answer: w = 20 l = 38

Step-by-step explanation:

l = 2w - 2 (based on given info)

p = 2l + 2w (formula for perimeter)

p = 116 (given)

116 = 2l + 2w

116 = 2(2w-2) + 2w (substitute in l)

116 =‘ 4w-4 + 2w

116 = 6w-4

w=20

l=2(20) - 2 = 38

Answer:

perimeter of triangle IJH= 17.5

Step-by-step explanation:

line IJ is a midsegment, so you can divide the segments FH and GH by 2.

that means segment IH= 4.5 and segment GH=6. segment IJ is given as 7.

add 4.5 + 6 + 7, which equals 17.5

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]

Let us determine the root of the polynomial shown below.

[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]

[tex]0=3x^2-x-2[/tex]

switch sides

[tex]3x^2-x-2=0[/tex]

as

[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]

so the equation becomes

[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]

Using the zero factor principle

[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]

solving

[tex]3x+2=0[/tex]

[tex]3x=-2[/tex]

[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]

[tex]x=-\frac{2}{3}[/tex]

and

[tex]x-1=0[/tex]

[tex]x=1[/tex]

The possible roots of the polynomial will be:

[tex]x=-\frac{2}{3},\:x=1[/tex]

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

Answer: length 48 width 38

Step-by-step explanation: 48+48+38+38=173