An electrician completes 1/6 of a job in 2/3 hour. How long does it take the electrician to complete the job?

The baseball coach bought 8 new baseballs for $3 each. The basketball coach bought 6 new basketballs for $11 each. How much more

tia_tia [17]

Answer:

$42 more.

Step-by-step explanation:

Baseball: 8(3) = $24

Basketball: 6(11) = $66

66 - 24 = $42

8 0

2 years ago

Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 2x + 1, [0, 2] Yes, it do

expeople1 [14]

Answer:

Yes , function is continuous in [0,2] and is differentiable (0,2) since polynomial function are continuous and differentiable

Step-by-step explanation:

We are given the Function

f(x) = $3x^2 -2x +1$

The two basic hypothesis of the mean valued theorem are

The function should be continuous in [0,2]

The function should be differentiable in (1,2)

upon checking the condition stated above on the given function

f(x) is continuous in the interval [0,2] as the functions is quadratic and we can conclude that from its graph

also the f(x) is differentiable in (0,2)

f'(x) = 6x - 2

Now the function satisfies both the conditions

so applying MVT

6x-2 = f(2) - f(0) / 2-0

6x-2 = 9 - 1 /2

6x-2 = 4

6x=6

x=1

so this is the tangent line for this given function.

4 0

2 years ago

Solve by completing the square with working out <br><br> -6x-x^2-8

Goryan [66]

-6x-x^2-8 = -(x+2) x (x+4)

(This is if you are factoring the expression)

7 0

2 years ago

Diane has the following data:

Vladimir [108]

To determine the median, we need to set up our numbers from least to greatest, and then place T in later to figure out what T is.
8, 9, 9, 9, 10, 11, 12, 15. Cross out the smallest number with the largest number.
9, 9, 9, 10, 11, 12.
9, 9, 10, 11.
9, 10.
9.5 is our median currently.
Since we need to get a number after 10 to make 10 the median, let's use 12.
8, 9, 9, 9, 10, 11, 12, 12, 15.
9, 9, 9, 10, 11, 12 ,12.
9, 9, 10, 11, 12.
9, 10, 11.
10 is now our median since we inserted 12 into our list.
Your answer is 12.
I hope this helps!

3 0

2 years ago

How to remember nagative exponents how to solve nagative exponents

marishachu [46]

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

<h3>How are negative exponent calculated?</h3>

To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.

Negative exponent Rule :-

$a^{-n} = \frac{1}{a^{n} }$