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xeze
12 days ago
5

Which statement is true about the discontinuities of the function f(x)?

Mathematics
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The length if Marshall's rectangular poster is 2 times its width.If the perimeter is 24 inches, what is the area of the poster.
Inessa [12570]
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).

First, we need to determine the dimensions of the rectangle, specifically its length and width.

We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4

Consequently, Length becomes 2x, leading to 2(4)=8.

Therefore, the length is 8 inches and the width is 4 inches.

Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.

Area=(8 in)(4 in)=32 in²

Conclusion: The area of Marshall's rectangular poster is 32 in².

4 0
3 months ago
At the fast food restaurant, four cheeseburgers and five small fries have a total of 2,310 calories. Three cheeseburgers and two
PIT_PIT [12445]
There are 290 calories in a cheeseburger and 230 calories in an order of fries. Explanation: When considering 4 cheeseburgers and 5 fries totaling 2,310 calories, and 3 cheeseburgers with 2 fries equating to 1,330 calories, these representations set up equations that yield results regarding calorie counts for each item.
5 0
1 month ago
Suppose F⃗ (x,y)=⟨ex,ey⟩F→(x,y)=⟨ex,ey⟩ and CC is the portion of the ellipse centered at the origin from the point (0,1)(0,1) to
zzz [12365]

The likely equation for the ellipse is given by

\dfrac{x^2}{49}+y^2=1

This can be parameterized as a segment of the curve using

C

with 0\le t\le\frac\pi2. Then we can proceed with

\vec r(t)=\langle7\sin t,\cos t\rangle

and other related calculations.

7 0
2 months ago
What is f(x) = 7x2 + 42x written in vertex form?
PIT_PIT [12445]

Answer:

\boxed{\boxed{y = 7(x+3)^2-63}}

Step-by-step explanation:

The standard vertex form for a parabola is given by,

y=a(x-h)+k

where,

(h, k) signifies the vertex of the parabola.

The function presented is,

\Rightarrow f(x) = 7x^2 + 42x

\Rightarrow y = 7x^2 + 42x

\Rightarrow y = 7(x^2 + 6x)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3-3^2)

\Rightarrow y = 7(x^2 + 2\cdot x\cdot 3+3^3)-7\cdot 3^2

\Rightarrow y = 7(x+3)^2-7\cdot 9

\Rightarrow y = 7(x+3)^2-63

This represents the vertex form of the given function.

7 0
2 months ago
Read 2 more answers
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