A man collected data on his weight loss while on a diet. He modeled the equation y = 295 - 5x for the line of best fit. The
2 answers:
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Answer:
The quotient of x and 11.
Step-by-step explanation:
Given:
Required:
Write the expression in words
Solution:
In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).
So, we are dividing x into 8 parts.
A quotient is the result you get when you divide the dividend by the divisor.
✅In describing the expression in words, we would use the following phrase:
The quotient of x and 11.
The dividend is mentioned first before the dividend.
Answer:
Step-by-step explanation:
We can use the Rational Root Test.
Given a polynomial in the form:
Where:
- The coefficients are integers.
- is the leading coeffcient (
)
- is the constant term
Every rational root of the polynomial is in the form:
For the case of the given polynomial:
We can observe that:
- Its constant term is 6, with factors 1, 2 and 3.
- Its leading coefficient is 2, with factors 1 and 2.
Then, by Rational Roots Test we get the possible rational roots of this polynomial:
Answer:
5.89 mi/h
Step-by-step explanation:
This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.
First, we start by drawing a diagram with the velocity vectors.
A= velocity of the first person
B= velocity of the second person
C= velocity in which they are moving away from each other.
Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)
Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.
Law of cosines:
so we can solve the formula for C so we get:
and now we can substitute the values we know:
if we want an exact answer, then that will be the exact answer, which approximates to:
C=5.89 mph
