g(x) is a translation of 6 units downwards.
<h3>
How to identify the translation that generates g(x)?</h3>
Here we have the function:
y = f(x) = 3x + 1
Notice that the y-intercept of f(x) is:
f(0) = 3*0 + 1 = 1
The y-intercept of f(x) is y = 1.
Now, we know that the y-intercept of g(x) is -5. then:
g(x) = 3x - 5 = f(x) - 6
Meaning that g(x) is a translation of 6 units downwards.
If you want to learn more about translations:
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The original height of the plant is 20 inches, and each week for 4 weeks its height increases by 2h inches, so at the end of 4 weeks its height would be:
20 + 4(2h) = 20 + 8h
Now for the next two weeks the plant grows in height by h inches each week, so we need to add a further 2h inches to the equation. Thus the expression that shows the height of the plant after 6 weeks is:
20 + 8h + 2h = 20 + 10h, therefor A is the correct answer
Answer:
KL = 15
Step-by-step explanation:
Given that,
Point L is on the line segment KM.
We have, KM=5x+10, LM=4x, and KL=3x
ATQ,
KM = KL + LM
Putting all the values, we get :
5x+10=3x+4x
5x+10 = 7x
Taking like terms together
5x-7x=-10
-2x=-10
x=5
Put x = 5 in KL = 3x
KL = 3(5) = 15
So, the value of length KL is 15.
Solution set = {x | x > -4}
Answer:
17
Step-by-step explanation:
Given the regression model :
Y=ax+b
x = Hours of TV watched per day
y= number of sit-ups a person can do
A=-1.341
B=32.234
Y = - 1.341x + 32.234
Predict Y, when x = 11
Y = - 1.341(11) + 32.234
Y = −14.751 + 32.234
Y = 17.483
Hence, the person Cann do approximately 17 sit-ups
