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timofeeve [1]
3 years ago
14

-6/15 * 4/7 - (-7)/20 * 4/7 + 3/4 PLS INCLUDE STEPS

Mathematics
1 answer:
algol [13]3 years ago
4 0

Answer:

101/140

Step-by-step explanation:

<u>Solving in steps:</u>

  • -6/15 * 4/7 - (-7)/20 * 4/7 + 3/4  =
  • - 2/5 * 4/7 + 7/20 * 4/7 + 3/4 =
  • - 8/35 + 7/35 + 3/4 =
  • -1/35 + 3*35/4*35 =
  • -4/140 + 105/140 =
  • 101/140

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Graph each absolute value function. State the domain, range, and y-intercept.
Inessa05 [86]
Answer:

i. D:All real numbers

ii.R:y\le-2

iii. Y-int: b=-2.5

Step-by-step explanation:

The given function is

y=-\frac{1}{2} |x-1|-2

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

y=-\frac{1}{2} |x-1|-2

The vertex of this function is

(1,-2)

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

y\le-2

Or

(-\infty,2]

iii. To find the y-intercept, we substitute x=0 into the funtion.

y=-\frac{1}{2} |0-1|-2

y=-\frac{1}{2} (1)-2

y=-2.5

The y-intercept is b=-2.5

The graph is shown in the attachment.

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3 years ago
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Masja [62]
The correct answer is c.
6 0
3 years ago
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Dan sold 40 concert tickets in 5 days.
olchik [2.2K]

Step-by-step explanation:

The number of tickets sold by Dan the first day is x.

Tickets sold on the 2nd day: x+3

on the 3rd day: x+6

on the 4th day: x+9

on the 5th: x+12

Since the total of tickets sold by Dan is 40:

x+(x+3)+(x+6)+(x+9)+(x+12)=40

5x+30=40

5x=10

x=2

number of tickets sold on the third day: 8

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2 years ago
Glenda made a scale model of the Empire State Building in New York. The building itself is 1250 feet high, and her scale model i
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3 years ago
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasolin
vovangra [49]

Complete question :

Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?

Answer:

$265,720

Step-by-step explanation:

Given that:

State gasoline tax = $0.26 per gallon

Average number of gasoline sold per day = 1,022,000 gallons

. From the availabke information given :

Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold

= $0.26 * 1,022,000

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