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2 years ago

Can someone please help me with this!!

Mathematics

1 answer:

zimovet [89]2 years ago

6 0

Answer: -7

Step-by-step explanation:

$f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}$

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3 years ago

Solve for y 2x-5y=10

scZoUnD [109]

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for <em>y</em>

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4 years ago

Read 2 more answers

Look at picture. Does anybody know the answer I’m lost?

masha68 [24]

Let $x,y$ be the dimensions of the rectangle. We know the equations for both area and perimeter:

$A=xy=36$

$P=2(x+y)=36 \iff x+y=18$

So, we have the following system:

$\begin{cases}xy=36\\x+y=18\end{cases}$

From the second equation, we can deduce

$y=18-x$

Plug this in the first equation to get

$xy=x(18-x)=-x^2+18=36$

Refactor as

$x^2-18x+36=0$

And solve with the usual quadratic formula to get

$x=9\pm3\sqrt{5}$

Both solutions are feasible, because they're both positive.

If we chose the positive solution, we have

$x=9+3\sqrt{5} \implies y=18-x=18-9-3\sqrt{5}=9-3\sqrt{5}$

If we choose the negative solution, we have

$x=9-3\sqrt{5} \implies y=18-x=18-9+3\sqrt{5}=9+3\sqrt{5}$

So, we're just swapping the role of $x$ and $y$ . The two dimensions of the rectangle are $9+3\sqrt{5}$ and $9-3\sqrt{5}$

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