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3 years ago

For questions 1 - 2, use the following functions:

Mathematics

2 answers:

RSB [31]3 years ago

8 0

Answer:

1.(f+g)(x)=5x-11

2.(f-g)(x)=x-3

Step-by-step explanation:

1.(f+g)(x)=f(x)+g(x)

=(3x-7)+(2x-4)

=5x-11

2.(f-g)(x)=f(x)-(g)

=(3x-7)-(2x-4)

=3x-7-2x+4

=x-3

natita [175]3 years ago

4 0

Answer:

fx+gx=5x-11

fx-gx=x-3

Step-by-step explanation:

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If 9(x + 5) = 63 , what is the value of x + 5 ?

alina1380 [7]

X=2 so the value of x+5 is 7

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3 years ago

A large pumpkin weighs 268.8 pounds. Which measure is closest to this weight in kilograms.

VikaD [51]

Answer:

121.9

Step-by-step explanation:

1 lb = .453kg, so you can multiple 268.8 and .453 to get your answer.

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3 years ago

"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3

guajiro [1.7K]

Answer:

For parallel:

gradient is 1/5

$y = mx + c$

consider (5, -2):

$- 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3$

${ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}$

For perpendicular:

gradient, m1:

$m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5$

gradient = -5

$y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23$

${ \boxed{ \bf{equation :y = - 5x + 23 }}}$

7 0

3 years ago

Read 2 more answers

When subtracting 8.7 from a certain number, the result is 22.95, as seen below. What number should go in the box to complete the

Anton [14]

31.65 should go into the box to complete the subtraction problem.

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3 years ago

Beth is buying a new washing machine that

Mazyrski [523]

Beth will pay $ 405.45 for washing machine

Solution:

Given that, Beth is buying a new washing machine that costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

Let us find the discount rate

Discount rate = 15 % of 450

$Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5$

Thus discount rate is $ 67.5

Therefore, sales price is given as:

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

$sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95$

Thus sales tax rate = $ 22.95

How much will Beth pay for the washing machine?

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

7 0

3 years ago