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Ivahew [28]
3 years ago
13

Ashley drove 864 miles in 12 hours, at the same rate how mnay would she drive in 9 hours?

Mathematics
1 answer:
loris [4]3 years ago
5 0
864/12 = the rate per hour, which would be 72 mph. To find how many miles she would drive at the same rate, multiply the 72 (miles) with 9 (hours) which is equal to 648 miles
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Find the zeros of the polynomial function and state the multiplicity of each.
zheka24 [161]
\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
7 0
3 years ago
Identify Slope and Y intercept for the equation X=4 M=B=
krek1111 [17]
Undefined and Undefined

Since the equation is x = 4, there is no y-intercept as x will never equal 0.

Additionally, since the equation is x = 4, there is no change in x value and as such the slope can not be determined.
6 0
3 years ago
Nayeli is driving on a long road trip. She currently has 14 gallons of gas in her car. Each hour that she drives, her car uses u
bearhunter [10]

Answer:

8 gallons

Step-by-step explanation:

Total gas in the car = 14 gallons

Each hour gas usage = 1.5 gallons

Total hours traveled = 4 hours

Left gas after 4 hours

= 14-1.5(4)

=14-6

=8 gallons

Left gas after t hours

=14-1.5t

Hence the answer is after 4 hours, 8 gallons are left after t hour(s) 14-1.5t

6 0
3 years ago
A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g
Natasha2012 [34]

Answer:

(A) y=-0.762+0.119x

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

y=-0.762+0.119x

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

y=-0.762+0.119x

  =-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0
4 years ago
Help please with this math question ?
Snezhnost [94]

Answer:

Combine

2 ¼ and 10.50

Simply

8.75

Answer

9.75

Step-by-step explanation:

Hope this was correct.

Glad I could help!

5 0
3 years ago
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