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antiseptic1488 [7]
3 years ago
11

Which ordered pair is not a solution of f(x) = 2x + 9? A. (0,9) B. (7, 23) C.(3, 14) D.(2, 13)​

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:C.(3,14)   I need to take up space to submit it.................................

                                                                 

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While Flinn was starting the fire, his friends were collecting firewood. Flinn has 5 sticks. If he puts 3 sticks in the fire eve
a_sh-v [17]
7m - 3m + 5 = 45

4m + 5 = 45

45-5 = 40

4m = 40

40/4

m = 10 minutes
6 0
3 years ago
Use the ordinary division of polynomials to find the quotient and remainder when the first polynomial is divided by the second.
Vanyuwa [196]

The quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

<h3>How to determine the quotient and remainder when the first polynomial is divided by the second?</h3>

The polynomials are given as:

-4w^3 + 5w^2 - 8, w - 3

Set the divisor to 0.

So, we have

w - 3 = 0

Add 3 to both sides

w = 3

Substitute w = 3 in -4w^3 + 5w^2 - 8 to determine the remainder

-4(3)^3 + 5(3)^2 - 8

Evaluate the expression

-71

This means that the remainder when -4w^3 + 5w^2 - 8 is divided by w - 3 is -71

The quotient (Q) is calculated as follows:

Q = [-4w^3 + 5w^2 - 8]/[w - 3]

The numerator can be expressed as follows:

Numerator = -4w^3 + 5w^2 - 8

Subtract the remainder.

So, we have:

Numerator = -4w^3 + 5w^2 - 8 + 71

This gives

Numerator = -4w^3 + 5w^2 + 61

So, the quotient becomes

Q = [-4w^3 + 5w^2 + 61]/[w - 3]

Expand

Q = [(w - 3)(-4w^2 - 7w - 21)]/[w - 3]

Evaluate

Q = -4w^2 - 7w - 21

Hence, the quotient and remainder when the first polynomial is divided by the second are -4w^2 - 7w - 21 and -71 respectively

Read more about polynomials at:

brainly.com/question/4142886

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6 0
2 years ago
Looking for some furniture for her new apartment, Susan visits the local swap meet in search of something cheap. Knowing that mo
Lady_Fox [76]

The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For this case, we're given that:

  • Amonut Susan took out = $200
  • Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
  • Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = \dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

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8 0
2 years ago
Which of the following lines is perpendicular to the x-axis and contains the point (-11.4, 12.8)
sergejj [24]

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Step-by-step explanation:

Let us revise the equations of the vertical lines and horizontal lines

  • The vertical line is a line parallel to y-axis
  • The x-coordinates of all points lie on the line are equal
  • The equation of the vertical line basses through point (a , b) is x = a
  • The horizontal line is a line parallel to x-axis
  • The y-coordinates of all points lie on the line are equal
  • The equation of the horizontal line passes through point (a , b) is y = b
  • The vertical line and the horizontal line are perpendicular to each other when intersect each other

∵ The line is perpendicular to the x-axis

∴ The line is a vertical line

∴ The equation of the line is x = a, where a is the x-coordinate

   of any point lies on the line

∵ The line contains point (-11.4 , 12.8)

∵ The x-coordinate of the point is -11.4

∴ a = -11.4

∴ The equation of the line is x = -11.4

The line x = -11.4 is perpendicular to the x-axis and contains point

(-11.4 , 12.8)

Learn more:

You can learn more about the linear equation in brainly.com/question/13168205

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7 0
3 years ago
It costs $56 to rent a tent for 7 days. Write an equation that represents the cost to rent a camping tent for xdays.
Lapatulllka [165]
the equation might be 8x=y.
7 0
3 years ago
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