Answer:
The answer is C=6p3 + 29p2 + 22p – 21
Step-by-step explanation:
To calculate the product, we need to multiply each member of each multiplier:
(2p + 7)(3p2 + 4p – 3) = 2p · 3p² + 2p · 4p + 2p · -3 + 7 ·3p² + 7 · 4p + 7 · -3
= 6p³ + 8p² - 6p + 21p² + 28p - 21
= 6p³ + 8p² + 21p² + 28p - 6p -21
= 6p³ + 29p² + 22p - 21
Therefore, the product of (2p + 7)(3p2 + 4p – 3) is 6p³ + 29p² + 22p -21
Answer:
See Below.
Step-by-step explanation:
We are given that:
By vertical angles:
Hence, by substitution:
Then by Angle-Angle Similarity:
Answer:
Step-by-step explanation:
So he has $100 and you want to see how many golf balls he can purchase well we know he spends $75 on the clubs so
75
-100
--------
25
John now has 25 dollars left. One ball is $1.50 so we keep adding or multiplying till we finish 25 dollars
1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 = 24
or
1.50
x 16
----------
24
he can purchase 16 golf balls
and the reason why it's 16 is that 16 golf balls are equal to 24 dollars and he can't purchase 17 golf balls or else that would be $25.50 which is more money than he has.
Hope that helped!
Answer:
4in
Step-by-step explanation:
So the area is base times height. We have the area, which is 24, and we have the height, which is 6. So we do, 24/6=4.
9514 1404 393
Answer:
A, C, E
Step-by-step explanation:
The proportional relations on the list are ...
- feet and inches
- flour and bread
- gallons and cost
We often model running distance and time as proportional, but a marathon is a long enough run that speed is rarely constant. It usually decreases over the course, and may increase near the end.
__
A relationship is proportional if there is a constant multiplier that relates the output to the input.
_____
<em>Additional comment</em>
For the relations listed above, the constants are ..
- the conversion factor between feet and inches
- the amount of flour in a bread recipe
- the price of a gallon of gas
For running time and distance, the multiplier is <em>speed</em>. The relation is only proportional if speed is a constant.
