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3 years ago

F(x)=2x^2+3 and g(x)=x^2-7 find (f-g)(x)

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

Answer:

$(f-g)(x)=x^2+10$

C is the correct option.

Step-by-step explanation:

We have been given that

$f(x)=2x^2+3\\\\g(x)=x^2-7$

The function (f-g)(x) can rewritten as

$(f-g)(x)=f(x)-g(x)$

Substituting the value of f(x) and g(x)

$(f-g)(x)=2x^2+3-(x^2-7)$

Distribute negative over the parenthesis

$(f-g)(x)=2x^2+3-x^2+7$

Now, combine the like terms

$(f-g)(x)=x^2+10$

C is the correct option.

Setler79 [48]3 years ago

5 0

C............................

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3 years ago

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

dusya [7]

Answer:

a. 270 square feet

b. 3.75 inches by 4.5 inches

c. $10,260

Step-by-step explanation:

A rectangular room measures 15 feet by 18 feet. It is going to be carpeted with carpeting that sells for $38 per square foot.

a. What is the area of the room in square feet?

Area of a rectangular room = Length × Width

Length = 15 feet

Width = 18 feet

Area of the room = 15 feet × 18 feet

= 270 square feet

b. If the room is drawn to 1/4 inch represents 1 foot scale, give the dimension of the room in inches on the scale drawing. Please write in decimal form to the nearest hundredth.

From the above question:

1/4 inch = 1 foot

Length = 15 feet

Hence:

1 foot = 1/4 inch

15 feet = x inch

Cross Multiply

x = 15 × 1/4 inch

x = 3.75 inches

For the Width = 18 feet

Hence:

1 foot = 1/4 inch

18 feet = x inch

Cross Multiply

x = 18 × 1/4 inch

x = 4.5 inches

Therefore, the dimensions of the room in inches is

3.75 inches by 4.5 inches

c. What is the total price for the carpeting? _

From the above question, we know that: A square foot of carpet is sold for $38

The area of the room is 270 square feet

Hence:

1 ft² = $38

270 ft² = $x

Cross Multiply

1ft² × $x = 270 ft² × $38

$x = 270 ft² × $38/ 1 ft²

$x = $10,260

Therefore, the total price for the carpeting of the room is $10,260.

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Answer:

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Answer:
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Step-by-step explanation:
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