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3 years ago

Find the inverse of y = x² + 3

Mathematics

1 answer:

eduard3 years ago

3 0

Answer:

Step-by-step explanation:

$\sqrt\\ x-3$ and - $\sqrt{x-3$

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X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?

e-lub [12.9K]

Answer:

The simplified expression is given as

$8x^2y^4(17x^2-2)$

Step-by-step explanation:

step one:

Given the expression

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)$

step two:

First, let us open the bracket we have

$x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\$

step three:

collect like terms we have

$x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\$

step four:

we can now factor out $8x^2y^4$ we have

$8x^2y^4(17x^2-2)$

4 0

3 years ago

A hospital employs a total of 77 nurses and doctors. The ration if nurses to doctors is 9:2. How many nurses are employed at the

exis [7]

Answer: 63 nurses and 14 doctors

so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.

if theres 9 (9*1) nurses theres 2 (2*1) doctors

if theres 18 (9*2) nurses theres 4 (2*2) doctors

if theres 27 (9*3) nurses theres 6 (2*3) doctors

you get the point so i multiplied 7 to 9 and 7 to 2, which means:

if theres 63 (9*7) nurses theres 14 (2*7) doctors

i hope this helps :)

6 0

3 years ago

Which strategy would you use to find 28?explain how you decided

Gelneren [198K]

You can do all strategies. Multiplication, Division, Addition, and Subtraction are the strategies because you can multiply 7 by 4 to get 28, divide 56 by 2 to get 28, add 14 by 14 to get 28, or subtract 40 by 12 to get 28.

5 0

3 years ago

Determine coefficients a and b such that p(x)=x2 ax b satisfies p(1)=5 and p′(1)=11.

Murrr4er [49]

$p(x)=x^2+ax+b$
$p'(x)=2x+a$

Given that $p'(1)=11$ , you have

$p'(1)=2+a=11\implies a=9$

and given that $p(1)=5$ , you have

$p(1)=1+9+b=5\implies b=-5$

So you get

$p(x)=x^2+9x-5$

4 0

3 years ago

The measure of an angle is 23 degrees find the measure of the complement.

IgorC [24]

The complement would be 90-23 which is 67

6 0

3 years ago

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