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3 years ago

Which statement can be modeled using the expression x-5?

Mathematics

2 answers:

pishuonlain [190]3 years ago

8 0

Answer:

A. the difference of Jaime’s height and 5

Step-by-step explanation:

We have the expression:

$x-5$

The "-" sign represents a subtraction, or a difference.

So if $x$ is Jaime's height, when you substract the $-5$ what you have as a result is the difference between Jaime's height and 5.

This discards options B, C and D since they speak of adding or increasing Jaime's height.

The answer is: A. the difference of Jaime’s height and 5

RideAnS [48]3 years ago

4 0

I think it's A.

The difference = x - 5, where x is Jamie's height.

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3 years ago

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Angelique is thinking about buying a house for $179,000. The table below shows the projected value of two different houses for t

marusya05 [52]

Answer:

A) both functions are linear

B) f(x) = 7446.4x + 178713.6 and f(x) = 11000x + 179000

C) House 2 will value $106894.4 more than house 1.

Step-by-step explanation:

A) Value Increase from year 1 to year 2:

House 1: 193,606.40 - 186,160 = 7446.4

House 2: 201,000 - 190,000 = 11000

Value Increase from year 2 to year 3:

House 1: 201,350.66 - 193,606.40 = 7744.26

House 2: 212,000 - 201,000 = 11000

This means that a constant increament in x variable gives a constant increament in both houses vales. Then, both functions are linear.

B) The slope is the same as the value increment from one year to the next one.

slope (m) of House 1: 7446.4

slope (m) of House 2: 11000

General formula of a line:

f(x) = mx+b

Replacing with a known point:

House 1

186,160 = 7446.4(1) + b

b = 186,160 - 7446.4 = 178713.6

equation: f(x) = 7446.4x + 178713.6

House 2

190,000 = 11000(1) + b

b = 190,000 - 11000 = 179000

equation: f(x) = 11000x + 179000

C) Replacing x = 30 into each equaiton:

Value of House 1 after 30 years

f(x) = 7446.4(30) + 178713.6 = 402105.6

Value of House 2 after 30 years

f(30) = 11000(30) + 179000 = 509000

Then, house 2 will value 509000 - 402105.6 = $106894.4 more than house 1.

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3 years ago

What is the remainder in the synthetic division problem below?

Naddik [55]

Answer:

The remainder is 25 ⇒ answer (C)

Step-by-step explanation:

* The remainder will be the last number in the calculation

* From the picture the dividend is 3x³ + x² + 2x - 7 and x - 2 is the divisor

- In the synthetic calculation we use the coefficient of the dividend with the value of x when the divisor = 0

- From the picture the divisor is x - 2, when x - 2 = 0, then x = 2

∵ The coefficient of the dividend are 3 , 1 , 2 , -7

Step 1 : Write down the coefficients of the dividend , put x = 2 at the left

2 3 1 2 -7

_____________

Step 2 : Bring down the first coefficient to the bottom row.

2 3 1 2 -7

____________

Step 3 : Multiply it by 2, and carry the result into the next column.

2 3 1 2 -7

___6_________

Step 4 : Add down the column

2 3 1 2 -7

___6_________

3 7

Step 5 : Multiply it by 2, and carry the result into the next column

2 3 1 2 -7

___6_14_______

3 7

Step 6 : Add down the column

2 3 1 2 -7

___6_14_______

3 7 16

Step 7 : Multiply it by 2, and carry the result into the next column

2 3 1 2 -7

___6_14_32______

3 7 16

Step 8 : Add down the column

2 3 1 2 -7

___6_14_32______

3 7 16 25

∴ The quotient is (3x² + 7x + 16) and the remainder is 25

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faust18 [17]

Answer: The correct answer will be C. (Since the last comment got deleted smh)

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4 years ago

52.85 rounded at nearest one

slamgirl [31]

Answer:

52.85 rounded at nearest one is 53

Step-by-step explanation:

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