Answer:
B. The student incorrectly calculated the scale factor to be –2
Step-by-step explanation:
Given that :
After a dilation with a center of (0, 0), a point was mapped as (4, –6) → (12, y).
The student determined y to be -2
If a figure dilated with a center of (0, 0) and scale factor k, then
(x , y) → (kx , ky)
(4, -6) → (12, y)
k = 3
Thus; the scale factor is 3
Now; the y-coordinate can now be calculated as;
ky = (3 × -6)
ky = -18
Therefore; the value of y = -18 and the student incorrectly calculated the scale factor to be -2.
<h3>
Answer: 1/6</h3>
Work Shown:
x = 0.1666666...
10x = 1.666666...
100x = 16.666666...
100x - 10x = 16.666666... - 1.666666...
90x = 15
x = 15/90
x = (1*15)/(6*15)
x = 1/6
So, 1/6 = 0.1666666...
Answer:
x= -8
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+6)(3)=−6
Step 1: Simplify both sides of the equation.
(x+6)(3)=−6
(x)(3)+(6)(3)=−6(Distribute)
3x+18=−6
Step 2: Subtract 18 from both sides.
3x+18−18=−6−18
3x=−24
Step 3: Divide both sides by 3.
3x
3
=
−24
3
x=−8
The correct answer for the question shown in the image attached is the third (option C), which is:
C. Shifted upwards by 28 units
The explanation is shown below:
1. The problem gives you the following linear function:
f(x)=ax+b
Where a is the slope and b is the y-intercept
2. When you graph that linear function, you obtain a line.
3. Therefore, if b (y-incercept) increases 28,000; the line will shifted 28 units upwards.
4. As you can see, the correct answer is the option mentioned above.
