Answer & Step-by-step explanation:
When we see (f * g)(x), it means that we are going to be multiplying f(x) and g(x) together.
<em>f(x) = 3x + 1</em>
<em>g(x) = x² - 6</em>
(3x + 1)(x² - 6)
Multiply each term from the first parentheses to the second parentheses.
3x³ - 18x + x² - 6
Combine like terms and make sure the expression is in standard form.
3x³ + x² - 18x - 6
So, your answer will be letter choice B.
Answer:
Kate has changed the unit of measurement from centimeters to decimeters.
Step-by-step explanation:
Tony measures a drum stick and the length is measured to be 31 centimeters.
Now, Kate converts Tony's measurements and gets 3.1.
Now, we know that 10 centimeters are equivalent to 1 decimeter.
Hence, 1 centimeter will be equivalent to 0.1 decimeters.
And, 31 centimeters will be equivalent to 31 × 0.1 = 3.1 decimeters.
So, Kate has changed the unit of measurement from centimeters to decimeters. (Answer)
Answer:
(8 + x)(8 - x)
Step-by-step explanation:
Use the DIFFERENCE OF TWO SQUARES METHOD.
Find the like terms. There are NO like terms. We have to use THE DIFFERENCE OF TWO SQUARES FORMULA.
64 - x²
8 - x + 8 + x
(8 + x)(8 - x)
Answer:
The missing vertex is (6, -3).
Step-by-step explanation:
Notice that if you graph the points, the first two points (6, 1) and (-4, 1), the y-coordinates are the same, and in the points (-4, 1) and (-4, -3) the x-coordinates are the same.
To make a rectangle, the fourth point need to have matching y-coordinates with the point (-4, -3) and matching x-coordinates with the point (6, 1). Therefore, the missing vertex is (6, -3).
Answer:
90 x 7= 630 minutes
Step-by-step explanation: