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Genrish500 [490]
3 years ago
12

Find g(x)-f(x). g(x)=x^2+1 and f(x)=2x+5

Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

g(x) - f(x) = x^{2} - 2x - 4

Step-by-step explanation:

g(x) - f(x) = (x^{2} + 1) - (2x + 5)

<em><u>Multiply the -1 in then add the two expressions together.</u></em>

(x^{2} + 1) + (-2x - 5) = x^{2} - 2x - 4

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A circular piece of fabric has a radius of 1.2ft. The fabric sells for $5.40 per ft2. What is the total cost of the circular pie
mixas84 [53]
Find the area of the fabric
The fabric is circular, so we find the area using the area of circle formula
a = π × r²

input the numbers
a = π × r²
a = 3.14 × (1.2)²
a = 3.14 × 1.44
a = 4.5216 ft²

Calculate the total cost
Multiply the cost by the area
cost = 5.4 × 4.5216
cost = 24.417
The total cost is approximately $24.42
6 0
3 years ago
Ages of sylvans daughters are consecutive even integers. The sum of their ages is 60. Write an equation representing and find ag
notka56 [123]
Consecutive even integers are 2 apart
they are
x,x+2,x+4
total sum is 60
x+x+2+x+4=60
3x+6=60
minus 6 both sides
3x=54
divide both sides by 3
x=18
x+2=20
x+4=22

the ages are
18,20,22

3 0
3 years ago
What is the Domain and Range of the function f(x)<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx-7%7D%20%2B9" id="TexFormula1" tit
omeli [17]

For the given function, the domain is D : { x ≥ 7} and the range is R: { y ≥ 9}

<h3>How to get the domain and range?</h3>

Here we have a square root, remember that the argument of the square root must be equal or larger than zero, so the domain is such that:

x - 7 ≥ 0.

Solving for x we get:

x ≥ 0 + 7

Then the domain is:

x ≥ 7

To get the range, we evaluate in the minimum of the domain:

f(7) = √(7 - 7) + 9 = 9

Then the range is the set of all values larger than 9, because the function is increasing.

So the range is R: y ≥ 9.

If you want to learn more about domain and range:

brainly.com/question/10197594

#SPJ1

5 0
2 years ago
The cost of renting a car for a day is $0.70 per mile plus a $20 flat fee
Andreyy89

Answer:

a) y = .70x + 20

-To find this, use the rate as x since it will change based on the number of miles. Since 20 is a flat fee, it can be added at the end as a constant.

b) This graph forms a straight line.

-This is because the answer in a is a linear equation.

c) The slope is .70 and the y-intercept is 20.

-For this one, the y-intercept is always the constant at the end of the equation and the slope is the coefficient of x.



5 0
3 years ago
Write an equation where the variable is divided by a number, and a solution is -4/5
MrMuchimi

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

8 0
2 years ago
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