Answer:
Its 41 mph and 55 mph
Step-by-step explanation:
The binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
<h3>How to expand the power of a binomial</h3>
Herein we have the seventh power of a binomial, whose expanded form can be found by using the binomial theorem and Pascal's triangle. Hence, we find the following expression for the expanded form:
(2 · x + y)⁷
(2 · x)⁷ + 7 · (2 · x)⁶ · y + 21 · (2 · x)⁵ · y² + 35 · (2 · x)⁴ · y³ + 35 · (2 · x)³ · y⁴ + 21 · (2 · x)² · y⁵ + 7 · (2 · x) · y⁶ + y⁷
128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷
Then, the binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.
To learn more on binomials: brainly.com/question/12249986
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Answer:
10:1:5
Step-by-step explanation:
Given that,
A game was played by Amy, Bill, and Cara.
Let Amy's score be x. Then,
Bill's score would be x/10
Cara's score = x/2
Now,
The ratio of their scores;
x: x/10: x/2
= 1 : 1/10 : 1/2
To equalize the scores, multiply all of them by 10
= (1 * 10): (1/10 * 10) : (1/2 * 10)
= 10 : 1 : 5
Thus, the simplest ratio form would be 10:1:5
There are 60 kids. You just have to divide 120 by 2.
Our approach to answering this question is to eliminate the choices until we are left with only one.
(1) FALSE. The given figures are lines and can extend indefinitely.
(2) FALSE. The lines are not given to intersect in right angles.
(3) TRUE. The angles are vertical (which means that they line in opposite side of the intersection.
(4) FALSE. The angles are not supplementary because the lines are vertical. They can only be supplementary if both are right angles.
