The width of a picture frame is x inches and the length is x+3 inches, what is the value of x if the area must be 40 square inches

Answers

Answer 1
Answer:

Answer:

x = 5

Step-by-step explanation:

Width = x inches

Length = (x+3) inches

Area = 40 sq inches

The area of a rectangular shaped object is given by :

A=l* b

Putting all the values,

x(x+3)=40\n\nx^2+3x-40=0\n\nx^2+8x-5x-40=0\n\nx(x+8)-5(x+8)=0\n\n(x-5)(x+8)=0\n\nx=5,-8

Neglecting x = -8.

So, the value of x is 5.


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Which choice could be modeled by a linear function? A. The amount, y, of radioactive material remaining after x years when decay occurs at rate 30% each year.

B. The amount of money, y, In an account after x years earning 4% interest compounded annually.

C. The height, y, of a ball after bouncing x times, if each bounce reaches 2/3 the previous height.

D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute.

Answers

Final answer:

The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute can be modeled by a linearfunction. This is because the cost increases at a constant rate with the number of minutes used. In contrast, options A, B, and C involve non-constant rates of change.

Explanation:

The answer is D. The monthly cost, y, to use a cell phone for x minutes at a rate of 4 cents per minute. This is a linear function because it describes a constant rate of change, as the cost changes linearly with the number of minutes used. Each additional minute costs the same amount: 4 cents. So, if we plot the minute (x) versus cost (y), we would get a straight line. This is different from the other options where the rate of change is not constant. For instance, options A, B, and C describe scenarios with exponential decay or growth.

Learn more about Linear Function here:

brainly.com/question/40461731

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Answer:

D

Step-by-step explanation:

D is linear because it increases the same amount each time

If JK←→ and LM←→− are different names for the same line, what must be true about points J, K, L, and M ?

Answers

Step-by-step explanation:

We know that this particularly line can be named as :

  • JK ←→
  • LM ←→

This give us the following information :

  • The line passes through the points J and K
  • The line passes through the points L and M

One statement we can make is :

The points J , K , L and M are aligned. So the line passes through the points J , K , L and M.

We also know that given a line there are infinite planes that contain the line.

Given that the points J , K , L and M belong to the same line, we can state that :

There are infinite planes that contain the points J , K , L and M.

David has four bags of apples and two bagsof mangoes. The first four bags contain
6 apples each and the bags with mangoes
contain 3 mangoes each. If David and his
friends ate 2 apples from each bag and 2
mangoes from each bag, what is the total
number of fruits left over?

Answers

Answer:

Step-by-step explanation: the step by step explanation is 6*4=24 so 24 apples then 3*2=6 so 6 mangoes then if 8 apples are ate then 4 mangoes are ate then (24+6)-(8+4)=30-12 so the answer is 18.

18 fruits left over
6 bags in total
4 bags x 6 apples each = 24 fruits
2 bags with 3 mangoes each= 6 fruits
Total 30 fruits
Friends ate 2 fruits from each of the 6 bags
They ate 12 fruits

30-12 = 18

What does -7(x+7)=-56

Answers

Answer:

x=1

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

Answer: x = 1

The way you find x is by dividing both sides of the equation by -7

Hey can you please help me posted picture of question

Answers

For this case we have the following equation:
 y = 4 (x-2) ^ 2-1
 Rewriting we have:
 y = 4 (x ^ 2-4x + 4) ^ 2-1
 Multiplying the common factor 2 we have:
 y = 4x ^ 2-16x + 16-1
 Adding the constant term we have:
 y = 4x ^ 2-16x + 15
 Answer:
 
y = 4x ^ 2-16x + 15
 
option D
the answer is D y=4x^2-16x+15

Factor the polynomial below X cubed +12 X squared +36X

Answers

I’m sorry but I have no idea