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3 years ago

Use the definition of the derivative to find f'(x) for f(x)=3x^2-5x+2

Mathematics

1 answer:

Butoxors [25]3 years ago

8 0

The derivative is 6x-5

Hope this helps

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The volume of a trapezoidal prism is 24 cubic units. It's height is 6 units, as labeled. What is the area of a trapezoidal base

scZoUnD [109]

Answer:

Area of trapezoidal base = 4 square units.

Step-by-step explanation:

We know that volume of a prism is known as :

$V = B \times h$

where B is Area of Base

and h is Height of prism

NOTE: Formula for Volume of a prism can be generalized as above irrespective of the type of base it has (base can be of type triangle, rectangle, square or trapezoidal etc).

Here, we are given that Base is trapezoidal.

h is 6 units and

Volume V is 24 cubic units.

And we have to find out the value of B.

Putting the above values in above formula:

$24 = B \times 6\\\Rightarrow B = \dfrac{24}{6}\\\Rightarrow B = 4 \text { square units}$

Hence, area of trapezoidal base = 4 square units.

6 0

2 years ago

Find 8.5 times the difference between 77 and 13

Anton [14]

Answer:

544

Step-by-step explanation:

The statement 8.5 times the difference between 77 and 13 can be expressed mathematically as 8.5×(77-13)

According to BODMAS, we will deal with the expression in the bracket first to have;

8.5×64

Then we the product of the resulting expression.

8.5×64

= 544

The answer is 544

4 0

3 years ago

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughou

slamgirl [31]

Alright, we know that the slope intercept form is y=mx+b, where x and y remain variables, m stands for the slope and b stands for the y intercept.

Because you should already have the slope from the first part (because slope is the same thing as rate of change), you should know that the slope is 60. The y-intercept should be your y value when x=0, and if you set up the equation in terms of years since Elliot has started his business, the year 2000 should be equal to x=0, so the y intercept should be equal to 750.

Now that you know the slope intercept form and what each part of it means, you can plug in what you have to get the final equation, which should be y=60x+750

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Yakvenalex [24]

Answer: (C) even

Step-by-step explanation:

A function is even when f(x) = f(-x)

A function is odd when f(-x) = -f(x)

f(x) = -2x⁴ + 3x²

f(-x) = -2(-x)⁴ + 3(-x)²

= -2x⁴ + 3x²

f(x) = f(-x) so the function is even

-f(x) = -(-2x⁴ + 3x²)

= 2x⁴ - 3x²

f(-x) ≠ -f(x) so the function is not odd.

8 0

3 years ago

√3×sinx+cosx=0 tmf nghiệm

Crazy boy [7]

Answer:

x= -30

Step-by-step explanation:

√3×sinx+cosx=0

√3sinx=-cosx

√3sinx/-cosx=1

-sinx/cosx=1/√3

-tanx=1/√3

(tan(180-30))=1/√3

tan(-30)=1/√3

Therefore, x= -30

7 0

2 years ago