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3 years ago

Find the Inverse of the Function y= 10x^2 - 4

1 answer:

3 0

Hello.

1. Switch y and x.
x = 10y^2 - 4
2. Isolate y.
x + 4 = 10y^2
(x + 4)/(10) = y^2
y = sqrt[(x + 4)/(10)]
3. Replace y with f^-1(x)
f^-1(x) = sqrt[(x + 4)/(10)]

Good luck to you!

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What is the difference between 20 and -60

zalisa [80]

Answer:

Step-by-step explanation:

The "difference" means the answer using subtraction. Subtract -60 from 20 to find the different between the two numbers.

20 - (-60) When you have two minus signs, it become a plus sign.

= 20 + 60 Add

= 80 Difference between the numbers

Could you do it backwards? Subtract 20 from -60? Yes, but since the difference between two numbers will always be a <u>positive number</u>, you need to use absolute value symbols.

| -60 - 20 | Do -60 -20 first

= | -80 | Apply the absolute value of -80 (make the number positive)

= 80 Difference between the numbers

You do not have to put absolute value if you do 20 - (-60), but you can. For -60 -20, you must use them.

Therefore, the difference between 20 and -60 is 80.

6 0

3 years ago

Which two values of X are roots of the polynomial below 4x^2-6x+1

PtichkaEL [24]

$4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}$

5 0

3 years ago

Use the formula C(n, x)pxqn − x to determine the probability of the given event. (Round your answer to four decimal places.) The

miskamm [114]

Answer: 0.1334

Step-by-step explanation:

Given

There are seven trails with a probability of success is $p=\frac{1}{4}$

$\therefore q=1-p\\q=1-\frac{1}{4}\\q=\frac{3}{4}$

Using the binomial distribution, the Probability of exactly no success i.e. x=0 is given by

$\Rightarrow ^7C_0\cdot p^0 \cdot q^{7-0}\\\Rightarrow 1\times(\frac{1}{4})^0 \cdot (\frac{3}{4})^7\\\Rightarrow 1\times 1 \cdot (0.75)^7\\\Rightarrow 0.1334$

7 0

3 years ago

Two studies were completed in California. One study in northern California involved 1,000 patients; 74% of them experienced flul

gtnhenbr [62]

The study has the smallest margin of error for a 98% confidence interval is <span>The northern California study with a margin of error of 3.2%.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
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4 0

3 years ago

Read 2 more answers

A school has 600 pupils. 1/5 are in the upper school, 1⁄4 in the middle school and

crimeas [40]

Step-by-step explanation:

the number of pupils are in the lower school

= (1- 1/5 - ¼) × 600

= (20/20 - 4/20 - 5/20)×600

= (11/20) ×600

= 330 pupils

4 0

3 years ago