I need help -2(x-8)+4x= -12

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

Answer:

x=-14

Step-by-step explanation:

-2(x-8)+4x= -12

-2x+16+4x=-12

2x=-28

x=-14

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length

lina2011 [118]

The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2) perform indicated multiplication on right side

S^2=2S^2-4S-3S+6 combine like terms on right side

S^2=2S^2-7S+6 subtract S^2 from both sides

S^2-7S+6=0 factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3 given that S=6 in

W=4 in and L=9 in

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5 0

3 years ago

*HELP*

vladimir1956 [14]

Answer:

The answer is 1/8

Step-by-step explanation:

Hope this helps. So the question is asking you odds of 8 which is the denominator already. So then it asks the odd to pick eight. So thats how i got 1/8.

5 0

3 years ago

Read 2 more answers

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

3 0

11 months ago

1) The deer population in a national park is expected to decline over time. The park

Lorico [155]

Answer:

Here's what I find.

Step-by-step explanation:

You have 800 deer at the end of Year 1, and you expect the population to decrease each year thereafter.

a) i) The recursive formula

Let dₙ = the deer population n years after the initial measurement.

$d_{n} = d_{n - 1}r^{n}$