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4 years ago

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4. Compare the function f(x) = –x^2 – 4x + 3 with the function g(x), graphed here. Which function has a greater absolute maximum

?

1 answer:

inessss [21]4 years ago

3 0

Answer:

f(x) has the greater absolute maximum

Step-by-step explanation:

$f(x)=-x^2-4x+3 \\\\f'(x)=-2x-4=-2(x+2)$

so f'(x)=0 for x = -2 and f(-2)=-4+8+3=11-4=7

so f(x) has the greater absolute maximum

hope this helps

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A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the

RoseWind [281]

Answer:

The volume and the curved surface area of the solid formed is $301.71\ \text{cm}^3$ and $188.57\ \text{cm}^2$ respectively.

Step-by-step explanation:

Given that,

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm.

As the triangle is revolved at 8 cm it forms a cone of height 8 cm and radius 6cm.

Height, h = 8 cm

Radius, r = 6 cm

The volume of the solid formed is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times \dfrac{22}{7}\times 8^2\times 8\\\\=301.71\ \text{cm}^3$

The curved surface of the solid formed is :

$A=\pi rl$

l is slant height

$A=\pi r\times \sqrt{h^2+r^2} \\\\A=\dfrac{22}{7}\times 6\times \sqrt{8^2+6^2} \\\\=188.57\ \text{cm}^2$

Hence, the volume and the curved surface area of the solid formed is $301.71\ \text{cm}^3$ and $188.57\ \text{cm}^2$ respectively.

8 0

3 years ago

Helppp!! please ill give brainliest!!

Furkat [3]

Answer:

114 feet

Step-by-step explanation:

6 0

4 years ago

Destiny works on commission as an office supply saleswoman. She sold a computer that cost $700 and received a $126 commission.

chubhunter [2.5K]

Hello,

If you want to find the percentage of anything, simply divide how much of the total number by the total number. 126 ÷ 700, which is 0.18.

To turn the decimal into a percentage, simply move the decimal place two places to the right, and it is now 18%.

In conclusion, she earned 18% of her sale. Hope this helps! =)

6 0

3 years ago

determine if the given information would form a unique triangle, many different triangles, or no triangles. 8 feet and 11 feet

Ugo [173]

Answer:

many different triangles.

Step-by-step explanation:

The given information is the length of two sides of a triangle, these lengths are:

8ft and 11ft

So the third side can have different lengths (notice that we do not have any restriction in the angles neither)

Then the third side has a lot of different possible lengths, this means that we can make many different triangles with this information.

Remember that one of the criteria for congruent triangles is SSS, (side side side)

So if we know 3 sides, there is only one triangle that can be made with these sides, but if we only know two sides this is not the case.

6 0

3 years ago

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.

Misha Larkins [42]

Answer:

$167.2

Step-by-step explanation:

It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a price of $640.00.

Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.

$A=P(1+rt)$ , where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.

Our principal amount will be the difference of prices of new computer and refurbished computer.

$\text{Principal amount}=800-640=160$

$\text{Interest rate}=\frac{4.5}{100}=0.045$

Upon substituting our given values in above formula we will get,

$\text{Amount we will save with a refurbished computer}=160(1+0.045\times 1)$

$\text{Amount we will save with a refurbished computer}=160(1+0.045)$

$\text{Amount we will save with a refurbished computer}=160(1.045)$

$\text{Amount we will save with a refurbished computer}=167.2$

Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.

5 0

4 years ago