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Butoxors [25]
4 years ago
5

If a television station shows commercials for 13 1/2 minutes each hour how many 45 second commercials can the show play

Mathematics
1 answer:
viva [34]4 years ago
4 0

Step-by-step explanation:

just transform 13.5 hours through minutes by:

(60 \times 130) + 30

and: divide the answer by 45.

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write the equation of the line that passes through the vertex of the parabola y=-2x^2+12x-11 and the point (-2,47)
pshichka [43]

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-11} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{12}{2(-2)}~~,~~-11-\cfrac{12^2}{4(-2)} \right)\implies \left( 3~~,~~-11+\cfrac{144}{8} \right) \\\\\\ (3~~,~~-11+18)\implies (3~~,~~7) \\\\[-0.35em] ~\dotfill

\bf \stackrel{vertex}{(\stackrel{x_1}{3}~,~\stackrel{y_1}{7})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{47}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{47}-\stackrel{y1}{7}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{3}}}\implies \cfrac{40}{-5}\implies -8

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{7}=\stackrel{m}{-8}(x-\stackrel{x_1}{3}) \\\\\\ y-7=-8x+24\implies y=-8x+31

5 0
4 years ago
Wendy and Mini earn $49 per week for delivering magazines. Wendy worked for x weeks and earned an additional total bonus of $18.
svetlana [45]
Expression C: 49x + 18 + 49y
7 0
3 years ago
Read 2 more answers
Find the domain and range of the function graphed below. Write your answers in interval notation.
Rudik [331]

Answer:

  • Domain: [-2, 3)
  • Range: (-5, 4]
  • Is the relation a function? - Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

3 0
2 years ago
Evaluate the following expression. Enter your answer in simplest form.
lara [203]

Answer:

1.6

Step-by-step explanation:

1/   4/2+2^2

2*2=4+2=6

4/6=.6

1/.6=1.6

8 0
3 years ago
Please help me find the x...
anzhelika [568]

Answer:

x = 11.

Step-by-step explanation:

We have 2 lines crossing 3 parallel lines so:

5/6 = x-1 / 12

6(x-1) = 5*12

6x - 6 = 60

6x = 66

x = 11.

8 0
3 years ago
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