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liberstina [14]
3 years ago
10

-2(2n+4)=10 solve the equation

Mathematics
2 answers:
grigory [225]3 years ago
7 0
-2(2n+4) = 10
distribute the -2 through the parentheses
-4n - 8 = 10
begin to isolate n by adding 8 to each side
-4n = 18
finish isolating n by dividing both sides by -4
n = 18/-4 = -4 1/2
rosijanka [135]3 years ago
7 0
The answer is -4 \frac{1}{2}
First, we need to simplify the equation in parentheses
So we multiply (2n+4) by -2 which will get us -4n-8.
The equation now is -4n-8=10
Now we isolate the variable
Lets add the 8 to both sides of the equation
-4n-8+8=10+8
You will get -4n=18
Now divide -4n with -4 and divide 18 with -4 to "isolate the variable"
You would get n=18/-4
Simplify 18/-4 and you would get -4 \frac{1}{2}
N= <span>-4 \frac{1}{2}</span>
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5 0
3 years ago
Define $g$ by $g(x)=5x-4$. If $g(x)=f^{-1}(x)-3$ and $f^{-1}(x)$ is the inverse of the function $f(x)=ax+b$, find $5a+5b$.
Slav-nsk [51]

Answer:

<h2>2</h2>

Step-by-step explanation:

Given g(x)=5x-4 and g(x)=f^{-1}(x)-3

Substituting g(x) =  5x-4 into the second equation we have;

5x-4 =  f^{-1}(x)-3

f^{-1}(x) = 5x-4+3

f^{-1}(x) = 5x-1

To get f(x), let us first make y to be equal  f^{-1}(x)

y = 5x-1

expressing x in terms of y to get f(x), we have;

5x = y+1

x = y/5+1/5

replacing y with x, we will have;

y = x/5 + 1/5

F(x) = x/5 + 1/5

Comparing x/5 + 1/5 with ax+b, a = 1/5 and b = 1/5

5a + 5b = 5(1/5)+ 5(1/5)

5a+5b = 1+1

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8 0
3 years ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y
andriy [413]

Answer:

Step-by-step explanation:

We want a line parallel to 3x − 4y = 7.  Any such line will have an equation of the same form but a different constant.

If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2.  We obtain:

3(-4) − 4(-2) = -12 + 8 = -4.  Thus, the desired new equation is 3x − 4y = -4.

This could also be written as 3x − 4y + 4 = 0.  We could also solve this for y, obtaining:

3x + 4 = 4y, or  y = (3/4)x + 1.

8 0
3 years ago
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