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3 years ago

Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2).

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

- 3

Step-by-step explanation:

$f(x) = 2 {x}^{3} - 6x + 1 \\ plugging \: x = - 2 \\ f( - 2) = 2( { - 2})^{3} - 6( - 2)+ 1 \\ = 2 \times ( - 8) + 12 + 1 \\ = - 16 + 13 \\ = - 3 \\ f( - 2) = - 3$

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Please answer A S A P

guajiro [1.7K]

Answer:

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

Step-by-step explanation:

i) x = number of hours worked

ii) y = total cost

1, i) equation for Mike's Repair Shop = $65x + $100

ii) Amy's Auto Repair = $80x + $40

2. 65x + 100 = 80x + 40

3. 15x = 60, therefore x = 4

4. Therefore the number of hours at which the cost both auto repair shops are the same is x = 4 hours.

5. If it takes only three hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 3 + $40 = $280 and Mike's will cost = $65 $\times$ 3 + $100 = $295.

6. If it takes only six hours to fix the car the Amy' repair shop will be the cheapest because Amy's auto repair will cost = $80 $\times$ 6 + $40 = $520 and Mike's will cost = $65 $\times$ 6 + $100 = $490.

7. Amy's Auto repair service is advertising to encourage customers with quick repairs to use their service because their cost is less for quick repairs but more for lengthy repairs.

4 0

3 years ago

What is -3 1/6+5 3/5<br> help me please and thank you

balandron [24]

The answer should be 2 13/30.

6 0

2 years ago

A statue casts a shadow 30 feet long. At the same time, a person who is 5 feet tall casts a shadow that is 6 feet long. How tall

zmey [24]

Use proportions.

5/6 = x/30

6 * 5 = 30
5 * 5 = 25

x = 25

The statue is 25 feet tall.

3 0

2 years ago

Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12%

storchak [24]

Jane must therefore deposit her savings in the four rivers bank.

<h3>What is compound interest?</h3>

Interest that is added to a loan and deposit sum is known as compound interest. In our everyday lives, it is the notion that is employed the most frequently. Compound interest is calculated as a sum using the interest and principal accrued over time. Compound interest versus simple interest differ primarily in this way.

As per the data provided in the question,

Rate, r = 12%

After five years, the total amount, if Jane had saved at Mystic Bank,if Jane had saved at Mystic Bank would be:

$A = P(1+\frac{r}{100} )^n$

For compounded quarterly,

n = 5 × 4

n = 20

A = 40000(1 + 12/(4 × 100))²⁰

A = 72244.44 (i)

If Jane placed her savings with the Four Rivers, then,

A = 40000(1 + 14/(2 × 100))¹⁰

A = 40000 × 1.9671

A = 78686.054 (ii)

Therefore, it is evident that case (ii) is higher than case (i). Jane must therefore deposit her savings in the four rivers bank.

To know more about Compound Interest:

brainly.com/question/29335425

#SPJ1

6 0

8 months ago

What is the HCF of 48 & 72

Masja [62]

Step-by-step explanation:

Factors of 72

= 2 x 36

= 2 x 2 x 18

= 2 x 2 x 2 x 9

= 2 x 2 x 2 x 3 x 3

Factors of 48

= 2 x 24

= 2 x 2 x 12

= 2 x 2 x 2 x 6

= 2 x 2 x 2 x 2 x 3

Common Factors = 2 x 2 x 2 x 3

HCF = 24

Ans : 24

I hope It's helpful!!

4 0

2 years ago

Read 2 more answers