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3 years ago

If y = (x - 3)^2 what is the value of y when x = 4?

Mathematics

2 answers:

tiny-mole [99]3 years ago

6 0

F. 1 Isherwood is the solution for this

ladessa [460]3 years ago

5 0

I'd say F--1.

Because, when you substitute 4 for x

y=(4-3)^2

y=(1^2)

y=1

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How many terms are in the simplified expression -3x 2 + 2y 2 + 5xy - 2y + 5x 2 - 3y 2

Vilka [71]

there are 6 terms in the simplified expression

4 0

3 years ago

Read 2 more answers

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

Which of the following statements describes the process for solving 4x ≥ -24?

dezoksy [38]

Divide both sides of the inequality by 4 but don’t flip the symbol.

You only flip the inequality symbol if you divide by a negative number.

If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.

4 0

3 years ago

Solved i need the answer ASAP

makkiz [27]

Answer:

V = - 3

Step-by-step explanation:

$- 1 = \frac{1}{3} v \\ \\ - 1 \times 3 = v \\ \\ v = - 3$

Your answer is absolutely correct.

8 0

3 years ago

Please help ASAP!!!Please explain your answer

nignag [31]

Answer:

Below

Step-by-step explanation:

Use the formula 2πr^2 + 2πrh to find the Surface area of a cylinder

A = 2π(11)^2 + 2π(11)(11)

= 1520.53084....

Rounding to the nearest 10th

= 1520.5 in^2

Hope this helps!

8 0

3 years ago