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Maslowich
3 years ago
15

$239.16 with a 5% sales tax

Mathematics
1 answer:
deff fn [24]3 years ago
8 0
Price would be 251.12    tax is 11.96
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h(x)= \dfrac{1}{8} x^3 - x^2h(x)= 8 1 ​ x 3 −x 2 h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided b
Nesterboy [21]

Answer:

\dfrac{1}{2}

Step-by-step explanation:

Given the function h(x)=\dfrac{1}{8}x^3-x^2

The average rate of change of the function h(x) over the interval a\le x\le b can be calculated using formula

\dfrac{h(b)-h(a)}{b-a}

In your case,

a=-2,\\ \\b=2,

so the average rate of change is

\dfrac{h(2)-h(-2)}{2-(-2)}\\ \\=\dfrac{(\frac{1}{8}\cdot 2^3-2^2)-(\frac{1}{8}\cdot (-2)^3-(-2)^2)}{4}\\ \\=\dfrac{(1-4)-(-1-4)}{4}\\ \\=\dfrac{-3+5}{4}\\ \\=\dfrac{2}{4}\\ \\=\dfrac{1}{2}

6 0
2 years ago
What is the factored form of the polynomial z² − 10z + 25?
qwelly [4]

Answer:

( z - 5 ) ( z - 5 )

Step-by-step explanation:

z² − 10z + 25

= z² − 5z - 5z + 25

= z ( z - 5 ) - 5 ( z - 5 )

= ( z - 5 ) ( z - 5 )

3 0
3 years ago
Solve the system of linear equations by substitution.What is the solution to x=2y+y and 3x+2y=3
gulaghasi [49]

Answer: the first one is 3y

Step-by-step explanation:

Go to the website mathpapa , type in the problem and it gives you the answer with steps

5 0
3 years ago
Write the denominator for each of the decimal numbers. (each answer, 1 point)
Troyanec [42]

Answer:

.3078542 -----> 5,000,000

.0372 ------> 2,500

.26319 ------> 100,000

Step-by-step explanation:

.3078542 = \frac{3078542}{10000000} = \frac{1539271}{5000000}\\\\\\.0372 = \frac{372}{10000} = \frac{186}{5000} = \frac{93}{2500}\\\\\\\\.26319 = \frac{26319}{100000}     \\

3 0
3 years ago
The triangle below is isosceles (two congruent sides). Find the value for x. one side say x + 3.8 and the other says 16 and then
Ugo [173]
The <span>isosceles triangle has two congruent sides

Their lengths are (</span> x + 3.8 ) and  <span>16

Equate them :

x+3.8=16


Solve for x:
3=16-3.8=12.2
</span>
4 0
3 years ago
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