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lakkis [162]
3 years ago
11

What equation is the inverse of y=7x^2-10?

Mathematics
1 answer:
tangare [24]3 years ago
8 0

Answer:

Option 2: y = ±sqrt(\frac{x+10}{7})

Step-by-step explanation:

y = 7x^2 - 10

         To find the inverse of a function, you must swap the y and x.

x = 7y^2 - 10

         Now I will just simplify to have y by itself on the left hand side.

x + 10 = 7y^2

\frac{x+10}{7}=y^2

sqrt(\frac{x+10}{7})=±y

y = ±sqrt(\frac{x+10}{7})

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Lori had 91 apples and Jay had 68 apples how many apples do they have in all? I don't know if I should multiply 68×91
LenaWriter [7]

Answer:

157

Step-by-step explanation:

You don't need to do any multiplication here. It is a fundamental addition problem.

It is given that Lori has got 91 apples and Jay has got 68 of them. We have to find how many apples do they have together.

The correct solution is to add the numbers together:

91+68=157 apples

7 0
3 years ago
SIMPLIFY THE EXPRESSION -3(-5 + s)
Arturiano [62]

Answer

15 + (-3s) or 15 - 3s

Step-by-step explanation:

-3 times -5 is 15

-3 times s is -3s

8 0
3 years ago
If a 24-kg mass stretches a spring 15 cm, what mass will stretch the spring 10 cm
natulia [17]

Answer:

<h2>16kg</h2>

Step-by-step explanation:

 This problem is borers on elasticity of materials.

according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>

F= ke

where F is the applied force in N

          k is the spring constant N/m

          e is the extension in meters

Given data

mass m= 24kg

extensnion=15cm in meters= \frac{15}{100}= 0.15m

we can solve for the spring constant k

we also know that the force F = mg

assuming g=9.81m/s^{2}

therefore

24*9.81=k*0.15\\235.44=k*0.15\\k=\frac{235.44}{0.15} \\k=1569.6N/m\\

We can use this value of k to solve for the mass that will cause an extension of  10cm= 0.1m

x*9.81=1569.6*0.1\\\\x= \frac{156.96}{9.81} \\\x= 16kg

5 0
3 years ago
Simplify the difference.
mr_godi [17]

\displaystyle\frac{n^2-10n+24}{n^2-13n+42}-\frac{9}{n-7}=\frac{(n-6)(n-4)}{(n-6)(n-7)}-\frac{9}{n-7}\\\\=\frac{n-4}{n-7}-\frac{9}{n-7}=\frac{n-4-9}{n-7}\\\\=\frac{n-13}{n-7}

The last choice is appropriate.

3 0
3 years ago
What is the answer?
emmainna [20.7K]

Answer:

C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

5 0
3 years ago
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