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chubhunter [2.5K]
3 years ago
12

If f(x) = 2x2 + 2, find f(5). A.) 102 B.) 52 C.) 22 D.) −1.5

Mathematics
2 answers:
erik [133]3 years ago
7 0

Answer:

option (b) is correct.

value of function at x = 5 is 52.

Step-by-step explanation:

Given function f(x)=2x^2+2

We have to evaluate f(5) that is the value of function at x= 5.

Consider the given function  f(x)=2x^2+2,

To find the value of function , simply substitute the value of x as 5 ,

we get,  f(x)=2x^2+2=2(5)^2+2

On solving we get,

\Rightarrow f(5)=2(5)^2+2=2(25)+2=52

Thus, value of function at x = 5 is 52.

Thus, option (b) is correct.

rodikova [14]3 years ago
4 0
We answer the question by substituting 5 to all the x's of the given function,
                             f(x) = 2x² + 2
Substituting,
                              f(5) = 2(5²) + 2 = 52
Thus, the f(5) is equal to 52. The answer is letter B. 
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Solve the inequality for x. Show each step of the solution. 12x > 9(2x − 3) − 21
grin007 [14]

12x > 9(2x-3) -21

12x > 18x - 27 - 21

12x > 18x - 48   (add 48 and subtract 12x in both sides)

48 > 6x

8 > x the end.


5 0
3 years ago
Gabi wants to drive to and from the airport. She finds two companies near her that offer short-term car rental service at differ
lilavasa [31]

Answer:

The difference in per-mile costs for the two companies is $0.12

Step-by-step explanation:

Gabi sets up the equation 0.22m+7.20=0.1m+8.40 to find out after how many miles, m, the companies will charge the same amount.

The first company charges c_1=0.22m+7.20 for m miles driven.

The second company charges c_2=0.1m+8.40 for m miles driven.

In both these functions, numbers 7.20 and 8,40 represent the initial fee the companies charge.

Numbers 0.22 and 0.1 represent per-mile costs.

Thus, the difference in per-mile costs is 0.22-0.1=0.12

Another way to solve this problem is to find the cost per mile driven for each company:

1. Cost per-mile 1st company

c_1(0)=0.22\cdot 0+7.20=7.20\\ \\c_1(1)=0.22\cdot 1+7.20=7.42\\ \\c_1(1)-c_1(0)-7.42-7.20=0.22

2. Cost per-mile 2nd company

c_2(0)=0.1\cdot 0+8.40=8.40\\ \\c_2(1)=0.1\cdot 1+8.40=8.50\\ \\c_2(1)-c_2(0)=8.50-8.40=0.1

3. Difference:

0.22-0.1=0.12

6 0
3 years ago
Can someone please help me with using the quadratic formula to find the solutions to the equation
galina1969 [7]
A quadratic equation has the standard form:

ax^2 + bx + c = 0

in the given equation,
a = 3
b = -10
c = 5

plug these values into the quadratic formula.

(-b +/- sqrt(b^2 - 4ac)) / (2a)

(-(-10) +/- sqrt((-10)^2 - 4(3)(5)) / (2*3)
(10 +/- sqrt(100 - 60)) / (6)
(10 +/- sqrt(40)) /6
6 0
4 years ago
Factor out the GCF from the terms of the polynomial 2x3 − 5x2 + 25. A. x2(2x − 5) + 25 B. The polynomial is already fully factor
Reptile [31]

Answer:

Step-by-step explanation:

2x3 − 5x2 + 25

2x³ -5x²+25

2x³ -5(x²-5)

6 0
3 years ago
2 to the trird power plus 3 to third power - 3x4 - 5 to the seacond power divid by 5 plus (7x4)
zhenek [66]
I hope this helps ( there is no negatives )

5 0
3 years ago
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