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Cerrena [4.2K]
3 years ago
5

Hayden graphed the following linear function on an (x,y) coordinat plane. g(x) = 3x -4.5 What is the y-intercept of the graph of

this function? Write the numerical value.​
Mathematics
1 answer:
777dan777 [17]3 years ago
6 0
-4.5 if you were to graph the linear function.
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Marina86 [1]

Answer:

  • Option A

Step-by-step explanation:

The area outside of the semicircle is the difference of the areas of the rectangle and the semicircle.

<u>Area of rectangle:</u>

  • A₁ = w(w + 5) = w² + 5w

<u>Area of the semicircle:</u>

  • A₂ = 1/2*πd²/4 = 1/8*πw²

<u>The area we are looking for is:</u>

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  • A = w² + 5w - 1/8πw²

Correct choice is A

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3 years ago
If (x)=<br> X-2<br> and d(x) = x + 3, what is the domain of (cd)(x)?
Nata [24]

Answer:

Option (2)

Step-by-step explanation:

Given functions are,

c(x) = \frac{5}{x-2}

d(x) = x + 3

Equation of the composite function will be,

(cd)(x) = c(x) × d(x)

          = \frac{5}{(x-2)}\times (x+3)

          = \frac{5(x+3)}{(x-2)}

This function is defined only when denominator is not equal to zero.

(x - 2) ≠ 2

Therefore, for real numbers except x = 2 will be the domain of the composite function.

Option (2) will be the answer.

3 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.
andreev551 [17]

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

(x,y)\rightarrow (kx,ky)

Since the scale factor is 12.

(x,y)\rightarrow (12x,12y)

The vertices of image are

(-4,4)\rightarrow (-48,48)

(2,2)\rightarrow (24,24)

(6,8)\rightarrow (72,96)

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

5 0
3 years ago
Read 2 more answers
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