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yan [13]
3 years ago
15

If f(x) = 4x + 12x and g(x) = 5x - 1, find (f + g)(x).

Mathematics
1 answer:
egoroff_w [7]3 years ago
3 0

Answer:

= 21x - 1

Step-by-step explanation:

= (4x + 12x) + (5x - 1)

= 4x + 12x + 5x - 1

= 16x + 5x - 1

= 21x - 1

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Which of the following shows no correlation between the independent and dependent variables?
jeka94
D doesn’t show a positive or negative correlation. D is the best answer choice.
3 0
3 years ago
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Find the length of the leg of the right triangle leave your answer in simplest radical form
erastova [34]

Answer:

a =12*sqrt(2)

Step-by-step explanation:

3.  The Pythagorean theorem states

a^2 + b^2 = c^2  where a  and b are the legs and c is the hypotenuse

a^2 +21^2 = 27^2

a^2 +441 =729

Subtract 441 from each side

a^2 +441-441 = 729 -441

a^2 =288

Take the square root of each side

sqrt(a^2) = sqrt(288)

sqrt(xy) = sqrt(x)sqrt(y)

a = sqrt(144)sqrt(2)

a =12*sqrt(2)

7 0
2 years ago
Orchid wants to retile her bathroom floor, which has an area of 40 square feet. She is deciding between two types of custom tile
Gre4nikov [31]

Your answer is the second option, she should choose the rectangular tiles because the total cost will be $8 less.

To find this answer we need to first find the total cost for using square tiles, and the cost for using rectangular tiles, and compare them. We can do this by finding the area of each tile individually, calculating how many tiles we would need, and multiplying this by the cost for one tile:

Square tiles:

The area of one square tile is 1/2 × 1/2 = 1/4 ft. Therefore we need 40 ÷ 1/4 = 160 tiles. If each tile costs $0.45, this means the total cost will be $0.45 × 160 = $72

Rectangular tiles:

The area of one rectangular tile is 2 × 1/4 = 2/4 = 1/2 ft. Thus we need 40 ÷ 1/2 = 80 tiles. Each tile costs $0.80, so the total cost will be 80 × $0.80 = $64.

This shows us that the rectangular tiles will be cheaper by $8.

I hope this helps! Let me know if you have any questions :)

6 0
3 years ago
4(2p+3)=16<br> solve the equation
Natali5045456 [20]

Final Answer: p = \frac{1}{2}

Steps/Reasons/Explanation:

Question: Solve the equation 4(2p + 3) = 16.

<u>Step 1</u>: Divide both sides by 4.

2p + 3 = \frac{16}{4}

<u>Step 2</u>: Simplify \frac{16}{4} to 4.

2p + 3 = 4

<u>Step 3</u>: Subtract 3 from both sides.

2p = 4 - 3

<u>Step 4</u>: Simplify 4 - 3 to 1.

2p = 1

<u>Step 5</u>: Divide both sides by 2.

p = \frac{1}{2}

~I hope I helped you :)~

8 0
3 years ago
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A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.22, the probabil
GuDViN [60]

Answer:

Expected Winnings = 2.6

Step-by-step explanation:

Since the probability of rolling a 1 is 0.22 and the probability of rolling either a 1 or a 2 is 0.42, the probability of rolling only a 2 can be determined as:

P_{1,2} = P_{1}+P_{2}\\P_{2} = 0.42 - 0.22 = 0.20

The same logic can be applied to find the probability of rolling a 3

P_{2,3} = P_{2}+P_{3}\\P_{3} = 0.54 - 0.20 = 0.34

The sum of all probabilities must equal 1.00, so the probability of rolling a 4 is:

P_{4} =1- P_{1}+P_{2}+P_{3} = 1-0.22+0.20+0.34\\P_{4}=0.24

The expected winnings (EW) is found by adding the product of each value by its likelihood:

EW=1*P_{1}+2*P_{2}+ 3*P_{3}+ 4*P_{4} \\EW=1*0.22+2*0.20+ 3*0.34+ 4*0.24\\EW=2.6

Expected Winnings = 2.6

8 0
2 years ago
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