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JulijaS [17]
3 years ago
15

Which statement about the graphs of h(x)=−2x+4 and k(x)=4x−4 is correct?

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

  A:  The x-intercept of k(x) is half the x-intercept of h(x)

Step-by-step explanation:

Answer choices B, C, and D are concerned with slopes and y-intercepts. The coefficients of x in the functions are different and are related by a factor of -2, so the lines are not parallel, and one slope is not twice the other. The y-intercepts (constants) in each function are different, so they graphs do not cross the y-axis at the same place.

Hence answer choices B, C, and D can be eliminated.

The x-intercepts are found by setting y=0 and solving for x:

  h(x) = 0 = -2x +4   ⇒   x = 4/2 = 2

  k(x) = 0 = 4x -4   ⇒   x = 4/4 = 1

The x-intercept of k(x) is half that of h(x). . . . . . . matches choice A

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agasfer [191]

The missing values in the inequality problem are;

A = -9

B = 72

C = 22

<h3>What is the explanation for the above?</h3>

5p - 8 (p + 1) > 16 .........................   (1) Given

5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given

Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,

Substitute 10 for p

⇒ 5 (-10) - 8(-10+1)>  16

⇒ -50 -8(-9) > 16

⇒ -50 + 72 > 16

Hence

22 > 16 → T

Please note that T is symbolic of "True" that is

it is true that 22 is greater than 16.

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2 years ago
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Vesna [10]

Answer:

Step-by-step explanation:

24 + 3r >= 100 is the equation

3 0
3 years ago
Read 2 more answers
On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is d
Mandarinka [93]

Answer:

Lines p and q are parallel

Step-by-step explanation:

1) Completing the question:

On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?

2)

If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.

3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.

5 0
4 years ago
A book sold 41,900 copies in its first month of release. Suppose this represents 8.1 percent of copies sold to date. How many co
Diano4ka-milaya [45]

The total number of copies that have been sold till date are: 517284

Step-by-step explanation:

Let x be the total number of copies sold

Then

41900 is 801 percent of x

This can be mathematically written as

41900 = 8.1\%\ of\ x\\41900 = 0.081 * x\\x = \frac{41900}{0.081}\\x = 51728.9

Rounding off to nearest whole number

517284

Hence,

The total number of copies that have been sold till date are: 517284

Keywords: Percentage, Percent

Learn more about percentage at:

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6 0
3 years ago
Scott earns $16. 85 per hour at his job. He works 7 hours per day, 4 days per week. What is Scott’s gross monthly income for 4 w
Leokris [45]

The gross monthly income for 4 weeks is $1,887.20

We have given that Scott earns $16. 85 per hour at his job.He works 7 hours per day then,

<h3>What is the  computation of the gross monthly income for 4 weeks?</h3>

Gross income= Earning per hour × number of hours works per day × number of days works per week × number of weeks

Gross income= $16.85 × 7 × 4 × 4

Gross income= $1,887.20

Therefore, the gross monthly income for 4 weeks is $1,887.20.

To learn more about the gross monthly income visit:

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3 0
2 years ago
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