which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11? (5 points) the graph of y = f(x) will shift up 11 units. the graph of y = f(x) will shift right 11 units. the graph of y = f(x) will shift left 11 units. the graph of y = f(x) will shift down 11 units.
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Answer:
The sales tax that is needed to be paid is $2.295
Step-by-step explanation:
Given : The price of a pair of shoes is $45.90. The sales-tax rate is 5 percent.
We have to find the sales tax that is needed to be paid.
Consider the given price of shoes as $ 45.90
Since, 5% is sales tax.
So, he pays 5% of 45.90
That is
Thus, The sales tax that is needed to be paid is $2.295.
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Answer:
12 movies
Step-by-step explanation:
Let the number of movies they see be represented by x
Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees.
$27 + $6 × x
= 27 + 6x
Claire doesn't have a membership, so she pays 8.25 for each movie she sees.
= $8.25 × x
= 8.25x
How many movies would they have to see in a year in order to pay the same amount?
Jaycie = Claire
27 + 6x = 8.25x
27 = 8.25x - 6x
27 = 2.25x
x = 27/2.25
x = 12 movies
Therefore, they have to see 12 movies in a year in order to pay the same amount.
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The dimensions of the length of the legs are 15 m and 20 m in the given right triangle.
What is Pythagoras's theorem?
Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
Let x be the length of one of the legs. Then the length of the other leg is 2x-10m. We can use the Pythagorean theorem to find the lengths of the legs.
We can write this as an equation:
x² + (2x - 10)² = 25²
5x²- 40x + 100 = 625
5x²- 40x + 100 - 625 = 0
5x²- 40x - 525 = 0
Divided by 5 into the above equation,
x²- 8x - 105 = 0
After solving the above quadratic equation, we get
x = 15 and x = -7
Take x = 15 as the length of one of the legs.
So, the length of the other leg is 2(15)-10 = 20 m.
Thus, the dimensions of the length of the legs are 15 m and 20 m.
Learn more about Pythagoras's theorem here:
#SPJ2
4x^2-40x+100+x^2=625
5x^2-40x+100-625=0
5x^2-40x-525=0
5(x^2-8x-105)=0
5(x-15)(x+7)=0
x-15=0
x=15 for the short side.
2*15-10
30-10=20 for the long side.
Proof:
15^2+20^2=25^2
225+400=625
625=625
c. 171.755 years
d. 168.354 years
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Answer:
A. 170.202
Step-by-step explanation:
Just took the test
Answer:a
Step-by-step explanation:test
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Hope this helped :)