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sladkih [1.3K]
3 years ago
11

What is the affect on the graph of the linear parent function f(x) equals X when FX is replaced by FX +3

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

The graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

Step-by-step explanation:

We know that when we add a constant to the input of the parent function, we get a horizontal shift.

The direction of shifting depends upon the value of the added constantly. If the added constant is negative, the shift of the graph will be left and if the added constant is positive, the shift of the graph will be right.

For example, consider the function

f(x)

so adding 3 in the put i.e. f(x+3) would be a change on the inside of the function, giving a horizontal shift left by 3.

Therefore, the graph of the f(x) will horizontal shift left by 3 when f(x) is replaced by f(x+3).

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A telescope costs $126 with a 30% discount. What was the original price?
Juli2301 [7.4K]

Answer:

$180

Step-by-step explanation:

Since the cost of the telescope with the 30% discount is $126 then $126 is 70% of the original price. Remember 100-30=70. To find the original price set up a proportion with these values:

\frac{126}{x}=\frac{70}{100}

Solve for the original price by cross multiplying numerator with denominator.

x(70) = 126(100)

70x = 12600

x= $180


3 0
4 years ago
What is the total surface area of the rectangular pyramid whose net is shown?
Lunna [17]

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

7 0
3 years ago
Select all the expressions that are equivalent to -36x+54y−90.
CaHeK987 [17]

Answer:

b) -18(2x -3y + 5)

d) 18(-2x + 3y - 5)

e) -2(18x - 27y + 45)

Step-by-step explanation:

a) -9( 4x - 6y - 10) = -36x + 54y + 90 not equal

b) -18(2x - 3y + 5) = -36x + 54y - 90 equal

c) -6(6x + 9y - 15) = -36x - 54y + 90 not equal

d) 18(-2x + 3y - 5) = -36x + 54y - 90 equal

e) -2(18x - 27y + 45) = -36x + 54y - 90 equal

f) 2(-18x + 54y - 90) = -36x + 108y - 180 not equal

7 0
3 years ago
Read 2 more answers
Y = 2x + 3
mario62 [17]
The answer is no solutions
4 0
3 years ago
The two dot plots below show the heights of some sixth graders and some seventh graders: Two dot plots are shown one below the o
ale4655 [162]
As measured by the MAD, the variability ratio is
  (MAD of 6th grade heights)/(MAD of 7th grade heights) = 1.2/0.6 = 2.0

The 4th selection is appropriate:
  2.0
3 0
3 years ago
Read 2 more answers
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