All categories

2 years ago

Please help me with both questions!

Mathematics

1 answer:

vova2212 [387]2 years ago

7 0

Answer:

maximum area will be 1058 square yards

maximum height will be 81 feet

Step-by-step explanation:

P = 2L +2W

but in this case it will be P= L+2W and P=92 yards

L+2W = 92

Solve for L , L = 92-2W

The area of rectangle A = L x W

Plug in L and simplify: A = (92-2W)W =92W -2W²

Plot in your calculator and look for maximum so when the width is 23 yards maximum area will be 1058 square yards.

Second problems is the maximum height of the rocket. Maximum will be at the vertex of the upside-down parabola.

You might be interested in

Solve <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%20%7D%7B4%20-%20x%7D%20%3D%20%5Cfrac%7B5%7D%7B%284%20%2B%20x%29%7D%20

lisov135 [29]

$Domain:\\4-x\neq0\ \wedge\ 4+x\neq0\\x\neq4\ \wedge\ x\neq-4\\\\\dfrac{4}{4-x}=\dfrac{5}{4+x}\qquad\text{cross multiply}\\\\4(4+x)=5(4-x)\qquad\text{use distributive property}\\\\(4)(4)+(4)(x)=(5)(4)+(5)(-x)\\\\16+4x=20-5x\qquad\text{subtract 16 from both sides}\\\\4x=4-5x\qquad\text{add 5x to both sides}\\\\9x=4\qquad\text{divide both sides by 9}\\\\\boxed{x=\dfrac{4}{9}}$

6 0

2 years ago

The lakeside tour bus traveled 490 miles on saturday and 225 miles on sunday. About how many more miles did it travel on saturda

Monica [59]

490-225=265
Is the answer

8 0

3 years ago

Read 2 more answers

how do the graphs of f(x) = sin x and g(x) = sin2x+3 compare. Must make two selections of the following that apply.

Elena L [17]

Answer:

The correct options are:

g(x) is shifted three units higher than f(x).

g(x) has a period that is half the period of f(x).

Step-by-step explanation:

We have to compare the graphs of the function:

$f(x)=\sin x$

and $g(x)=\sin 2x+3$

We have to select the correct options among the following:

As we know that the period of sine function is 2π.

i.e. Period of function f(x) is: 2π.

The period of sin(2 x) is π.

Hence, the period of the function g(x) function is π.

Hence, the period of g(x) is half the period of f(x).

Also we could observe that g(x) is shifted 3 units upward.

3 0

3 years ago

Read 2 more answers

What is the answer to this solution. -7r−4≥ 4r+2

tia_tia [17]

Answer:

The solution is:

$-7r-4\ge \:\:4r+2\quad \::\quad \:\begin{bmatrix}\mathrm{Solution:}\:&\:r\le \:\:-\frac{6}{11}\:\\ \:\:\mathrm{Decimal:}&\:r\le \:\:-0.54545\dots \:\\ \:\:\mathrm{Interval\:Notation:}&\:(-\infty \:\:,\:-\frac{6}{11}]\end{bmatrix}$

Please check the attached line graph below.

Step-by-step explanation:

Given the expression

$-7r-4\ge \:4r+2$

Add 4 to both sides

$-7r-4+4\ge \:4r+2+4$

Simplify

$-7r\ge \:4r+6$

Subtract 4r from both sides

$-7r-4r\ge \:4r+6-4r$

Simplify

$-11r\ge \:6$

Multiply both sides by -1 (reverses the inequality)

$\left(-11r\right)\left(-1\right)\le \:6\left(-1\right)$

Simplify

$11r\le \:-6$

Divide both sides by 11

$\frac{11r}{11}\le \frac{-6}{11}$

Simplify

$r\le \:-\frac{6}{11}$

Therefore, the solution is:

Please check the attached line graph below.

7 0

2 years ago

What is the rate of change

kow [346]

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

3 0

2 years ago

Read 2 more answers