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KATRIN_1 [288]
3 years ago
9

The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o

f k?
A: 3
B: 7
C: 10
D: 13
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

2x+3=0

x=-\frac{3}{2}

Now add 10 to this x coordinate , we get x1=10-3/2=17/2

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get 0=2*17/2-k

k=17

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Solving multistep equations<br><br>6-2n=-4n-2-8​
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<h3>Given Equation:</h3>

6 - 2n = -4n - 2 - 8

<h3>To Find:</h3>

The value of n.

<h3>Solution:</h3>

6 - 2n = -4n - 2 - 8

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or, n = -16/2

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10-5g >80

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10-5g >80

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8 0
2 years ago
A rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet. What is the perimeter in mixed number?
Vadim26 [7]

Answer: 18 1/6 feet

Step-by-step explanation:

From the question, we are informed that the rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet.

The perimeter would be calculated as:

= 2(length + width)

= 2( 5 1/3 + 3 3/4)

= 2( 5 4/12 + 3 9/12)

= 2( 8 13/12)

= 2 (9 1/12)

= 2 × 9 1/12

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5 0
3 years ago
Eight year-old Alex is learning to ride a
cestrela7 [59]

Answer:

The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

Step-by-step explanation:

Current age of Alex = 8

Current age of the horse in human years = 50

Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.

Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:

The age of the horse, in human years, when Alex was born = 50 - 8 = 42

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

This can be presented in a table as follows:

                               Age of Alex        Age of the Horse (in human years)

Eight years ago              0                                           42

Current age                    8                                           50

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