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3 years ago

Solve each absolute value inequality. Graph the solutions on a number line. |x-7|>1

Mathematics

1 answer:

N76 [4]3 years ago

8 0

Answer:

x>8 and x<6

Step-by-step explanation:

well first the values of x-7 have to be greater than 1 or, less than -1

because if x-7=-2 then |-2|=2>1 satisfying the equation

so we have

$x-7>1\\\\x-7+7>1+7\\\\x>8$

and we have

$x-7$

to graph it it goes from (-∞,6)∪(8,∞)

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Janice is creating a scrapbook page with vertices (2,1), (7,1), (7,7), and (2,7). What is the area of the page she will be cover

almond37 [142]

Answer:

The actual area of the page will be 120 square inches.

Step-by-step explanation:

Janice is creating a page of scrapbook having vertices (2,1), (7,1), (7,7), and (2,7).

If we plot the points on the coordinate plane then we will see that the page is of a rectangular shape with length (7 - 1) = 6 units which is parallel to the y-axis and width (7 - 2) = 5 units which is parallel to the x-axis.

So, the area of the page is (6 × 5) = 30 square units.

Now, given that 1 square unit is equivalent to 4 square inches.

Therefore, the actual area of the page will be (30 × 4) = 120 square inches. (Answer)

3 0

3 years ago

when is the appropriate to model data with a linear function. give example of a real world data that can modeled with a linear f

Natalija [7]

Answer:

You can model a data using a linear function when the dependent variable is a multiple of the independent formula plus another constant by the y-intercept. The constant multiple is represented by the slope. In real life problems, linear function is applied when you want to determine the cost given with a slope which is represented by cost per unit time. For example, the cost of wifi connection is $10/month plus $2 inclusive for phone charges. The linear function would be:

C = 10t + 2

where C is the cost and t is time in months

Step-by-step explanation:

6 0

3 years ago

Question 2*

lilavasa [31]

Answer:

The average rate of change between these times is 68 miles per hour

Step-by-step explanation:

Here, we are to determine the average rate of change between hour 2 and hour 7

The distance traveled at hour 2 is 140 miles

The distance traveled at hour 7 is 480 miles

So we can say we have two points and we want to know the rate of change between these points

Mathematically, we can represent the rate of change as Δ

Thus, between the two different times, we have;

Δ = (D7-D2)/(T7-T2)

where (T7,D7) = (7,480) and (T2,D2) = (2,140) represents the time and distance at hour 2 and hour 7 respectively

Now inputing the values into the equation, we have;

Δ = (480-140)/(7-2) = 340/5 = 68 miles/hour

3 0

3 years ago

Suppose that there are two types of tickets to a show: advance and same-day. Advance tickets cost $35 and same-day tickets $30 c

Marina CMI [18]

Answer:

The number of same-day tickets sold is 15

The number of advance ticket sold is 20

Step-by-step explanation:

Given as :

The cost of each Advance ticket = $35

The cost of each same-day ticket = $30

The total cost of the tickets sold = $1150

The total number of tickets sold = 35

Let The number of advance ticket sold = a

And The number of same-day ticket sold = s

Now, According to question

The total number of tickets sold =The number of advance ticket sold + The number of same-day ticket sold

I.e a + s = 35 .....A

The total number of tickets sold = The cost of each Advance ticket × The number of advance ticket sold + The cost of each same-day ticket × The number of same-day ticket sold

I.e $35 a + $30 s = $1150

or, 35 a + 30 s = 1150 .......B

Now, solving eq A and B

35 × ( a + s) - ( 35 a + 30 s ) = 35 × 35 - 1150

or, ( 35 a - 35 a ) + ( 35 s - 30 s ) = 1225 - 1150

or, 0 + 5 s = 75

∴ s = $\frac{75}{5}$

I.e s = 15

So, The number of same-day tickets sold = s = 15

Put the value of s in Eq A

So, a + 15 = 35

∴ a = 35 - 15

I.e a = 20

So, The number of advance ticket sold = a = 20

Hence The number of same-day tickets sold is 15

And The number of advance ticket sold is 20 Answer

7 0

4 years ago

In reciprocal is the denominator one unit

docker41 [41]

Not always if you're saying it will always be something like 1/2 becomes 2/1 with a unit of one. It's just flipped, so 2/6 will be 6/2, 4/5 becomes 5/4, 22/16 becomes 16/22 etc. That is all there is to it. Make sure you simplify your answers.

5 0

3 years ago