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DanielleElmas [232]
3 years ago
15

If f (x)= 2x^2-7 find f (4)

Mathematics
2 answers:
sladkih [1.3K]3 years ago
7 0

Answer:

14

Step-by-step explanation:

f(x)=2x+7

f(4)=2(4)+7

=8+7

=15

f(-4)=2(-4)+7

=-8+7

=-1

f(4)+f(-4)

=15+(-1)

=14.

Contact [7]3 years ago
4 0

Answer:

25

Step-by-step explanation:

f (x)= 2x^2-7

Let x=4

f (4) = 2 ( 4)^2 -7

Exponents first

f(4) =2*16 -7

Multiply

f(4) =32 -7

Subtract

f(4) =25

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Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for
Leni [432]
Answer: $2,150,000

Explanation: Let

T = Total expenses of Joint-Serve

Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by

Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T     (1)
(Because 43% = 0.43)

Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000

So, the payroll expense is now calculated as

Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000)     (2)
(Because 38% = 0.38 and total expenses = T + 250,000)

By comparing equations (1) and (2),

0.43T = 0.38(T + 250,000)
\\ 0.43T = 0.38T + 0.38(250,000)
\\ 0.43T = 0.38T + 95,000
\\ 0.43T - 0.38T = 95,000
\\  \frac{0.05T}{0.05}  =  \frac{95,000}{0.05} 
\\ \boxed{T = \$ 1,900,000}

Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000  
6 0
3 years ago
Find f(g(-4)) and g(f(-4)) using the functions below.<br><br> f(x) = 2x + 7<br> g(x) = x2 + 3x - 1
daser333 [38]

Answer:

f(g(-4)) = 13.

g(f(-4)) = -3.

Step-by-step explanation:

g(-4) = (-4)^2 + 3(-4) - 1

= 3.

so f(g(-4))

= f(3)

= 2(3) + 7

= 13.

f(-4) =  2(-4) + 7

= -1.

so g (f(-4))

= g(-1)

= (-1)^2 - 3 - 1

= -3.

8 0
4 years ago
Which system of equations has NO SOLUTION?
11Alexandr11 [23.1K]
The answer is D! :)

Explanation:
2x - 5y = 12
20x - 50y = 120

20x - 50y = 120
20x - 50y = 120
NO SOLUTION

(Can I have brainliest please?)
5 0
3 years ago
A smart phone plan has a monthly base fee that includes 5 gigabytes of data. An overage charge is applied when the data usage ex
Flura [38]

Answer:

B The cost, in dollars, for each additional gigabyte used.

Step-by-step explanation:

C = 59 + 15(g − 5)

when g=5, C=59 where it is the monthly cost

when g=6, c=59 +15, interpret that each additional gigabyte used will increase the cost for 15

4 0
3 years ago
Read 2 more answers
You are given the following data, where X1 (final percentage in history class) and X2 (number of absences) are used to predict Y
vaieri [72.5K]

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: standardized history test score in third grade.

X₁: final percentage in history class.

X₂: number of absences per student.

<em>Determine the following multiple regression values.</em>

I've estimated the multiple regression equation using statistics software:

^Y= a + b₁X₁ + b₂X₂

a= 118.68

b₁= 3.61

b₂= -3.61

^Y= 118.68 + 3.61X₁ - 3.61X₂

ANOVA Regression model:

Sum of Square:

SS regression: 25653.86

SS Total: 36819.23

F-ratio: 11.49

p-value: 0.0026

Se²= MMError= 1116.54

Hypothesis for the number of absences:

H₀: β₂=0

H₁: β₂≠0

Assuming α:0.05

p-value: 0.4645

The p-value is greater than the significance level, the decision is to not reject the null hypothesis. Then at 5% significance level, there is no evidence to reject the null hypothesis. You can conclude that there is no modification of the test score every time the number of absences increases one unit.

I hope this helps!

5 0
4 years ago
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