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Luba_88 [7]
3 years ago
13

two bicycle riders start a race at the same time. the function f(x) and g(x) give the distance in miles that each rider has trav

eled after x hours of riding. what does f(2)-g(2)= 5 mean in this context?
Mathematics
1 answer:
iragen [17]3 years ago
4 0

Answer:

https://jbarrueta.weebly.com/uploads/5/3/2/9/53297595/lesson2.2.2.pdf

Step-by-step explanation:

here's a link

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the plans for your 13th birthday party are well under way. your parents agree to your guest list of 400 people. you decided it w
diamong [38]

Answer:

11 people will get both the prizes.

Step-by-step explanation:

In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).

Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.

To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.

Therefore 11 persons out of 400 will get both the prizes.

Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.

And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.

In these divisions, consider just the quotient, here remainder is of no use.

5 0
3 years ago
9 Peter walked 8,900 feet from home to school.
kow [346]

\bf \begin{array}{ccll} miles&feet\\ \cline{1-2} 1&5280\\ x&8900 \end{array}\implies \cfrac{1}{x}=\cfrac{5280}{8900}\implies 8900=5280x \\\\\\ \cfrac{8900}{5280}=x\implies 1.6856\approx x\implies \stackrel{\textit{rounded up}}{1.7=x}

4 0
3 years ago
Read 2 more answers
Which value of m will create a system of parallel lines with no solution? y=mx-6 8x-4y=12 A coordinate grid with one line labele
nydimaria [60]

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

4 0
3 years ago
corinne earns an hourly wage on top of her weekly gas allowance for her delivery job. her weekly earnings can be shown using the
Aliun [14]
Corrine earns an hourly wage on top of her weekly gas allowance for her delivery job.

Her weekly earnings can be expressed as:

Earnings = 40 + 7.50h

When h=0, her earnings will be 40

This constant represents, the fixed gas allowance she is receiving for her delivery job. 7.50h represents that she get paid $7.50 for an hour of work. 

So, the constant term in the expression represent her weekly gas allowance.
6 0
3 years ago
The polynomial p(x) = x3 – 6x2 + 32 has a known factor of (2 - 4).
Dima020 [189]

Answer:

x3-6x2+32

Step-by-step explanation:

7 0
3 years ago
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