F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer:
Thus, the value of x = -36 when y = 15
Step-by-step explanation:
We know that if y varies directly with x, we can express the relationship such as
y ∝ x
y = kx
k = y/x
where 'k' is called constant of variation.
Given
y = -5
x = 12
Using the equation
k = y/x = -5/12
Thus, the value of k = -5/12
Finding x when y = 15
y = 15
k = -5/12
substituting y = 15 and k = -5/12 in the equation
y = kx
15 = -5/12 (x)
15×12 = -5x
180 = -5x
divding both sides by -5
-5x/-5 = 180/-5
x = -36
Thus, the value of x = -36 when y = 15
<h2>
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Solve for x | Solution and Explanation </h2>
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Hello! So...
We are given the following:
Solve for x.
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1. Group the like terms.
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2. Add similar elements (
).
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3. Subtract 23 from both sides.
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4. Simplify.
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5. Divide both sides by 4.
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6. Simplify.
(aka. Option A)
====================
Hope this helps!
Answer:
30
Step-by-step explanation:
3 pieces each 1 dekameter long
1 dekameter = 10 meters
Convert dekameters to meters
3 pieces each 10 meters long
Multiply
Glenn has 30 meters of lanyard
Divide
He can cut 30 1-meter pieces
Hope this helps :)
I would say origin, but it's a hard choice.
