3 years ago

What is the slope and the y intercept for the graph y=7x-2

Mathematics

1 answer:

siniylev [52]3 years ago

7 0

Answer:

slope = 7

Y intercept = 2

Step-by-step explanation:

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In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an ine

saveliy_v [14]

-13 is lower than -10, therefore the question would be -13<-10

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3 years ago

How many servings of popcorn are in 5 1/2 cups of each person receives 3/4 cup of popcorn?

Reil [10]

Answer:

7.3333, so if you round down, 7.

Step-by-step explanation:

5 1/2 divided by 3/4 is 7.3333

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3 years ago

Bob wants to create two pens, as shown in the figure. One pen is for a garden and it needs a heavy duty fence to keep out the cr

sattari [20]

$\bf \textit{the area of either pen is 2744, thus}\\\\
A=xy\implies 2744=xy\implies \cfrac{2744}{x}=y$

$\bf \begin{array}{llll}
\textit{perimeter of the garden pen}\\\\
P=2(x+y)\\\\
P=2\left( x+ \cfrac{2744}{x}\right)\\\\
P=2x+\cfrac{5488}{x}\\
----------\\

\textit{cost of it}\\\\
C=15\left( 2x+\cfrac{5488}{x} \right)\\\\
C=30x+\cfrac{82320}{x}
\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}$

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

$\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
\\\\\\
C(x)=40x+\cfrac{109760}{x}$

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

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3 years ago

What is the range of y = sin x?

Greeley [361]

Answer:

See below

Step-by-step explanation:

The function $f(x)=sin(x)$ oscillates between -1 and 1, so the range is $-1\leq x\leq 1$ .