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Vika [28.1K]
2 years ago
15

If f(x) = 1/2x^2 - (1/4x +3), what is the value of f(8)?

Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
4 0

Answer:

9

Step-by-step explanation:

noname [10]2 years ago
4 0

Answer:

27

Step-by-step explanation:

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Rental of space = $68 per guest; Downpayment = 25% of total cost; Payment due one month before the reception includes a 7.4% int
liq [111]

This question is incomplete, the complete question is;

PROBLEM SOLVING WITH PERCENTS: You are planning a wedding reception for 75 guests that will take place in exactly 10 months. There are two different sites that you are contemplating using, with the stipulations on payments as described below. Determine the TOTAL cost of renting each location.

Rental of space = $68 per guest; Down payment = 25% of total cost; Payment due one month before the reception includes a 7.4% interest payment on the balance.

Answer:  Total Cost of Renting = $5312.29

Step-by-step explanation:

Given that;

Rental space = $68 per guest, down payment = 25%,  7.4% interest payment on the balance.

Total Cost of Renting = Down Payment + Remaining payment

Total Cost of Renting = $68 × Guests × 25% + ($68 × Guest - Down payment) ×  (1 + Interest *9/12)

Total Cost of Renting = $68 × 75 × 25% + ($68 × 75 - Down payment) × (1 + 7.40% × 9/12)

Total Cost of Renting = $1275 + ($5100 - 1273) × (1.0555)

Total Cost of Renting = $1275 + 4037.29

Total Cost of Renting = $5312.29

4 0
3 years ago
Which value of x from the set { 8 , 11 , 61 , 67 } makes the equation ( x − 3 )² = 64 true?
Trava [24]

Answer:

I

Step-by-step explanation:

this its 61 ok thanks you

5 0
3 years ago
According to General Social Survey of 2016, the population distribution of number of years of education for self-employed indivi
nikdorinn [45]

Answer:

a) Mean is 12.9

b) Standard Error

i) n = 16, Standard Error = 1

The shape of the sampling distribution means is not normal

ii) n = 49 , Standard Error = 0.5714285714

The shape of the sampling distribution means is normal

iii) n = 121, Standard Error = 0.3636363636

The shape of the sampling distribution means is normal

c)Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

Step-by-step explanation:

Central Limit Theorem states that

if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

a) 16 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√16

= 4/4

= 1

n < 30, hence, The shape of the sampling distribution means is not normal

b) 49 residents

= Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√49

= 4/7

= 0.5714285714

n > 30, hence, The shape of the sampling distribution means is normal

c) 121 residents

Mean = 12.9

Standard Error = Standard Deviation /√n

= 4/√121

= 4/11

= 0.3636363636

n > 30, hence, The shape of the sampling distribution means is normal

Describe the pattern as n increases

As the number of random samples(n) increases the value for the standard error decreases

3 0
3 years ago
What is the name of the place value of 9 in 199
Sliva [168]

The name of place value of 9 in 199 is ones.

The second 9 has a value of tens.

The number 1 has a place value of hundreds.

8 0
3 years ago
Read 2 more answers
Line m passes through the points (5, 1) and (8, 6) while line n passes through the points (-4, 3) and (-1, 8). Which statement a
Anna [14]
Find the equations of the lines...

First find the slope...(y2-y1)/(x2-x1)=m

m=(6-1)/(8-5)=5/3 and it passes through (5,1) so

y=mx+b becomes:

y=5x/3+b and using (5,1)

1=5(5)/3+b

1=25/3+b

3/3-25/3=b

b=-22/3 so 

y1=(5x-22)/3

.... now y2...

m=(8-3)/(-1--4)=5/3 (note it has the same slope as y1...

y=5x/3+b and using the point (-1,8)

8=5(-1)/3+b

8=-5/3+b

24/3+5/3=b

b=29/3, now note that the y-intercept is different...

y2=(5x+29)/3

Since these lines have the same slope but different y-intercepts, they are parallel to each other. (and will never intersect.)
8 0
3 years ago
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