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Ierofanga [76]
3 years ago
10

What is the inverse of the given equation y=7x^2-3?

Mathematics
1 answer:
NARA [144]3 years ago
5 0

Answer:

The inverse of this equation would be y = \sqrt{\frac{x - 3}{7} }

Step-by-step explanation:

To find the inverse of any equation, start by switching the y and x values. Then solve for the new y value. That equation will be your inverse.

y = 7x^2 - 3

x = 7y^2 - 3

x + 3 = 7y^2

\frac{x-3}{7} = y^2

\sqrt{\frac{x - 3}{7} } = y

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39) The length of a rectangle is (2x - 1) and the width is (3x2 -5x + 2). Find the area of the rectangle.
Nuetrik [128]

Answer:

(4,-2)

Step-by-step explanation:

Start off by doing everything in the parenthesis which is everyone of them so 2x-1=-2 , your problem then should look like this:

-2(3x2-5x+2) carry the 2 over so multiply the 2 to everything so

(-6x-4+10x+2) add like numbers

10x+-6=4

-4+2=-2

(4,-2)

6 0
2 years ago
HELP!!! i need it asap, thank you
Step2247 [10]
Answer: H

Step by Step
7 0
3 years ago
Why are linear functions sometimes symmetric about the y-axis but never symmetric about the x-axis
lina2011 [118]
Test for symmetry about the x-axis: Replace y with (-y). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the x-axis. Example: Use the test for symmetry about the x-axis to determine if the graph of y - 5x2 = 4 is symmetric about the x-axis.
Test for symmetry about the y-axis: Replace x with (-x). Simplfy the equation. If the resulting equation is equivalent to the original equation then the graph is symmetrical about the y-axis. Example: Use the test for symmetry about the y-axis to determine if the graph of y - 5x2 = 4 is symmetric about the y-axis.
I didn't fully understand the question but this is the best I can do! Hope this helps! :D
7 0
3 years ago
SOS if anyone could help that would be appreciated!!!❤️
Anastaziya [24]

Answer:

See below

Step-by-step explanation:

2e)15-4x=10x+45

Solve:

15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}3(x+1)=21

Check:

15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45

15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45

\dfrac{210}{7}  =30

30=30

3a) 3(x+1)=21

Solve:

3(x+1)=21\\3x+3=21\\3x=18\\x=6

3b) 2+3(x+1)=6x

2+3x+3=6x\\5=3x\\

x=\dfrac{5}{3}

3c) -2(2x-3)=-2

Solve:

-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2

3 0
3 years ago
The cake recepi calls for 3 cups of sugar to every 2 cups of flour. if i use 9 cups of sugar how many cups of flour will i need?
scZoUnD [109]

Answer: 6cups of flour

Step-by-step explanation:

3cups of sugar to 2cups of flour

9cups of sugar to xcups of flour

Let sugar rep s

Flour rep f

So we have;

3s=2f

9s= xf

Cross multiply

3s×xf=2f×9s

Xf=2f×9s/3s

Xf=6f

Therefore, 9cups of sugar will be to 6cups of flour

7 0
4 years ago
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