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3 years ago

Given f(x) = -3x + 5, solve for x when f(x) = -4

Mathematics

2 answers:

Ainat [17]3 years ago

7 0

Answer:

3

Step-by-step explanation:

Given 

f(x) = - 3x + 5 

f(x) = - 4 

-3x + 5 = - 4 

- 3x = - 4 - 5 

- 3x = - 9 

x = 3 

Hope it will help :)

Nonamiya [84]3 years ago

4 0

Answer:

x=3

Step-by-step explanation:

i believe it's like this, i am not sure

Y= -3x +5

-4= -3x+5

subtract 5 on both sides

-9= -3x

divide -3 on both sides

x=3

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3 years ago

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Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

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Step-by-step explanation:

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Given f(x) = -3x + 5, solve for x when f(x) = -4​

Given f(x) = -3x + 5, solve for x when f(x) = -4