coexpennan
2021-08-16
Answered

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Aamina Herring

Answered 2021-08-17
Author has **85** answers

We are given:

Apply distributive property:

Substitute

Jeffrey Jordon

Answered 2021-09-14
Author has **2027** answers

Answer is given below (on video)

asked 2022-03-28

Prove that $12(ab+ba+ac)<7{a}^{2}+15{b}^{2}+18{c}^{2}$ holds for all positive numbers.

asked 2022-01-20

How do you solve $6{y}^{2}+y\pm 2=0$ ?

asked 2022-04-28

Let $\alpha \text{}\text{and}\text{}\beta$ be the roots of ${x}^{2}-x-1=0$ . If ${P}_{k}={\left(\alpha \right)}^{k}+{\left(\beta \right)}^{k},k\ge 1$ then prove that

a)${P}_{5}=11\mathrm{\$}}$

b)${P}_{1}+{P}_{2}+{P}_{3}+{P}_{4}+{P}_{5}=26$

a)

b)

asked 2022-03-12

What is the range of the function $f\left(x\right)=\frac{7{x}^{2}-4x+4}{{x}^{2}+1}$ ?

asked 2022-04-29

Let $\frac{1}{2}<\mathrm{cos}2A<1$ and $6\mathrm{tan}A-6{\mathrm{tan}}^{3}A={\mathrm{tan}}^{4}A+2{\mathrm{tan}}^{2}A+1$ , find $\mathrm{tan}2A$

asked 2021-10-28

Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we can write that as $A\left(r\right)=2\pi {r}^{2}+16\pi r$ . What is the domain of $A\left(r\right)$ ? In other words, for which values of r is $A\left(r\right)$ defined?

Part b: Find the inverse function to$A\left(r\right)$ . Your answer should look like $r=$ "some expression involving A".

$r\left(A\right)=$

Hints:

1) To calculate an inverse function, you need to solve for r.

2)Here you could start with$A=2\pi {r}^{2}+16\pi r$ . This equation is the same as $A=2\pi {r}^{2}+16\pi r-A=0$ . Do you recognize this as a quadratic equation $a{x}^{2}+bx+c=0$ where the variable x is r? The coefficients would be $2\pi$ for a, $16\pi$ for b, and $-A$ for c.

3)You can solve for r using the quadratic formula even though the constant term c is a symbol here.

Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate$r\left(225\right)$ . Round your answer to 2 decimal places.

Need Part A

Part b: Find the inverse function to

Hints:

1) To calculate an inverse function, you need to solve for r.

2)Here you could start with

3)You can solve for r using the quadratic formula even though the constant term c is a symbol here.

Part c: If the surface area is 225 square inches, then what is the radius r? In other words, evaluate

Need Part A

asked 2022-03-15

Where does the plus-minus come from in the quadratic formula?

$x}_{1,2}=\frac{-b\pm \sqrt{{b}^{2}-4ac}}{2a$