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3 years ago

Which expression is equivalent to

Mathematics

2 answers:

givi [52]3 years ago

6 0

Answer:

$\boxed{D. 9x + 36}$

Step-by-step explanation:

Hey there!

Given info

9(x + 4)

Solve!

9*x = 9x

9*4 = 36

Answer

9x + 36

D. 9x + 36

Hope this helps :)

Nataly_w [17]3 years ago

4 0

Answer:

$\boxed{9x + 36}$

Option D is the correct option.

Step-by-step explanation:

$\mathrm{9(x + 4)}$

Distribute 9 through the parentheses

$\mathrm{ = 9 x + 9 \times 4}$

Multiply the numbers

$\mathrm{ = 9x + 36}$

Hope I helped!

Best regards!

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A rancher wishes to build a fence to enclose a 2250 square yard rectangular field. Along one side the fence is to be made of hea

Bess [88]

Answer:

The least cost of fencing for the rancher is $1200

Step-by-step explanation:

Let x be the width and y the length of the rectangular field.

Let C the total cost of the rectangular field.

The side made of heavy duty material of length of x costs 16 dollars a yard. The three sides not made of heavy duty material cost $4 per yard, their side lengths are x, y, y. Thus

$C=4x+4y+4y+16x\\C=20x+8y$

We know that the total area of rectangular field should be 2250 square yards,

$x\cdot y=2250$

We can say that $y=\frac{2250}{x}$

Substituting into the total cost of the rectangular field, we get

$C=20x+8(\frac{2250}{x})\\\\C=20x+\frac{18000}{x}$

We have to figure out where the function is increasing and decreasing. Differentiating,

$\frac{d}{dx}C=\frac{d}{dx}\left(20x+\frac{18000}{x}\right)\\\\C'=20-\frac{18000}{x^2}$

Next, we find the critical points of the derivative

$20-\frac{18000}{x^2}=0\\\\20x^2-\frac{18000}{x^2}x^2=0\cdot \:x^2\\\\20x^2-18000=0\\\\20x^2-18000+18000=0+18000\\\\20x^2=18000\\\\\frac{20x^2}{20}=\frac{18000}{20}\\\\x^2=900\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{900},\:x=-\sqrt{900}\\\\x=30,\:x=-30$

Because the length is always positive the only point we take is $x=30$ . We thus test the intervals $(0, 30)$ and $(30, \infty)$

$C'(20)=20-\frac{18000}{20^2} = -25 < 0\\\\C'(40)= 20-\frac{18000}{20^2} = 8.75 >0$

we see that total cost function is decreasing on $(0, 30)$ and increasing on $(30, \infty)$ . Therefore, the minimum is attained at $x=30$ , so the minimal cost is

$C(30)=20(30)+\frac{18000}{30}\\C(30)=1200$

The least cost of fencing for the rancher is $1200

Here’s the diagram:

3 0

2 years ago

HELPSolve for x X = A: 1 B: 3 C: 7

OverLord2011 [107]

X equals 7

Hope that helped

7 0

3 years ago

The larger of two numbers is five more than twice the smaller number. The sum of the two numbers is 38. Find the numbers.

White raven [17]

Answer:

11 and 16

Step-by-step explanation:

A good way to solve these is to work backwards.

X= larger and Y= smaller

if X is 5 more than 2Y than subtract 5 from the total

38 - 5 = 33

divide by 3

33/3 = 11

11 = Y and double that is 22 so add the five back into X and you get 16

8 0

3 years ago

*nervous laugh* SO ummm geometry isnt my thing actually im rather bad it please help!

Savatey [412]

I believe the answer would be D 92 and 88 hope it helped

8 0

3 years ago

Read 2 more answers

Olivia used her past health history and information about her doctor visits to create this table to compare health costs with an

shusha [124]

The expected value of health care without insurance is $437.25.

The expected value of health care with insurance is $1,636.40.

<h3>What are the expected values?</h3>

The expected values can be determined by multiplying the respective probabilities by its associated costs.

The expected value of health care without insurance

= (1 x 0) + (0.32 x 1050) + (0.45 x $225)

= $437.25

The expected value of health care with insurance

= (1 x 1580) + (0.32 x 75) + (0.45 x $72)

= $1,636.40

Thus, The expected value of health care without insurance is $437.25.

The expected value of health care with insurance is $1,636.40.

Learn more about Expected value from:

brainly.com/question/13945225

#SPJ1

5 0

2 years ago