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Dvinal [7]
3 years ago
5

Martha made a purchase for $70.20 including 8% sales tax. What was the total before tax?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
3 0

Answer:

64.58

Step-by-step explanation:

100%-8%=92%

70.20*92%=64.58

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Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k​
Nuetrik [128]

Answer:

\displaystyle k = \frac{34}{3}

Step-by-step explanation:

We are given the polynomial:

\displaystyle P(x) = 3x^3 - kx^2 + 5x + k

And we want to determine the value of <em>k</em> such that (<em>x</em> - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (<em>x</em> - 2). Thus, <em>a</em> = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k  \end{aligned}

This must equal zero. Hence:

\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3}  \end{aligned}

In conclusion, <em>k</em> = 34/3.

6 0
3 years ago
R(x) = -13.85x2 + 1,660x<br> C(x) = 55,400 – 279x
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Answer:

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Step-by-step explanation:

5 0
3 years ago
Which of these is a correct statement?
Montano1993 [528]

Answer:

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6 0
3 years ago
How is a debit card like a check?
madam [21]
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5 0
3 years ago
Read 2 more answers
use the line graph to answer the question 9 and 10 how much did the temperature change from Sunday High to Mondays High ? what w
Marizza181 [45]

Answers:

<em>How much did the temperature change from Sunday High to Mondays High?</em>

Change = 4 °C

<em>What was the difference between the high temperatures on Friday and Wednesday?​</em>

Difference = 10 °C

Explanation:

Taking into account the graph, we get that the high temperature each day is:

Sunday: -10°C

Monday: -6 °C

Tuesday: - 4 °C

Wednesday: -6 °C

Thursday: 0 °C

Friday: 4 °C

Saturday: -2 °C

So, the change from Sunday High to Mondays High can be calculated as:

Change = Monday - Sunday

Change = -6 °C - (- 10 °C)

Change = -6 °C + 10 °C

Change = 4 °C

In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:

Difference = Friday - Wednesday

Difference = 4 °C - (-6 °C)

Difference = 4 °C + 6 °C

Difference = 10 °C

Therefore, the answers are:

<em>How much did the temperature change from Sunday High to Mondays High?</em>

Change = 4 °C

<em>What was the difference between the high temperatures on Friday and Wednesday?​</em>

Difference = 10 °C

6 0
2 years ago
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