To find all the positive integers less than 2018 that are divisible by 3, 11, and 61, you will use what you know about factors.
3, 11, and 61 are all answers. So are 33, 183, 671, and 2013.
If you put these in factors, the product will be divisible by them!
3 x 11 = 33
3 x 61 = 183
11 x 61 = 671
3 x 11 x 61 = 2013
Take each number and square it, cube it, etc...
9, 27, 81, 243, 729
121, 1331
9 x 11 = 99
27 x 11 = 297
81 x 11 = 891
121 x 9 =1089
121 x 3 = 363
61 x 9 = 549
61 x 27 = 1647
Everything in bold is a correct answer.
Answer:To round 0.994 to the nearest tenth consider the hundredths’ value of 0.994, which is 9 and equal or more than 5. Therefore, the tenths value of 0.994 increases by 1 to 0.
0.994 rounded to the nearest tenth = 1.0
Step-by-step explanation:
Answer:

Step-by-step explanation:
Assuming the maximum score for the final is
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of
, their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where
is the minimum score she needs.
Solving, we get:
.
Answer:
g(x) will be dilated horizontally to get f(x)
Step-by-step explanation:
Given
f(x) = g(kx) --> the correct equation
Required
The effect of k
The given equation is an illustration of horizontal dilation.
If |k| is greater than 0, then the function will be compressed.
However, if |k| is between 0 and 1 (exclusive), then the function will be stretched.
Take for instance:
f(x) = g(x/5)
In the above function, g(x) will be stretched by 5 units
Another instance is:
f(x) = g(x/0.5)
In the above function, g(x) will be stretched by 0.5 units
Substitute g(x) where x is in the definition of f(x).
f(g(x)) = -3(g(x))^2 - 1
f(g(x)) = -3(-5x)^2 - 1
= -3(25x^2) - 1
f(g(x)) = -75x^2 - 1