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3 years ago

Dominic rides his bike at a rate of 4 min per mile

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

Dominic can ride a mile every 4 minutes so if total miles is represented by m, then the solution for how many minutes he's riding for a specific amount of time would be 4m (4 x m). For example, if you want to find out how many minutes it would take to ride 1 mile, substitute m for 1. It would be 4 x 1 = 4 so it takes a total of 4 minutes. If you want to find out how many minutes it took to ride 6 miles, substitute m for 6. It would be 4 x 6 = 24 so it would take a total of 24 minutes to ride 6 miles. If you want to find out how many minutes it took to ride 12 miles, substitute m for 12. It would be 4 x 12 = 48 so it would take a total of 48 minutes to ride 12 miles. I think you gave a lack of information so your question is incomplete but I hope this is applicable and helps anyways!

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2. Find the slope of the line between (8, 6) and (20, -14)

Natalka [10]

Answer:

slopee = 5/3

Step-by-step explanation:

The slope of a line is defined by the rise (the change in y-value) divided by the run (the change in x-value). Here, the change in y-value is 6 - (-14) = 6 + 14 = 20. The change in x-value is 20 - 8 = 12. Therefore, the slope is 20/12 or (simplified) 5/3.

3 0

3 years ago

When a certain tree was first planted, it was 4 feet tall, and the height of the tree increased by a constant amount each year f

MA_775_DIABLO [31]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Initial height = 4 feet

Given that the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

Let the rate of growing each year be g.

After 6 years height of tree = 4 + 6g

After 4 years height of tree = 4 + 4g

At the end of the 6th year, the tree was 1/5th taller than it was at the end of the 4th year.

That is

$4+6g=4+4g+\frac{4+4g}{5}\\\\4+6g=\frac{20+20g+4+4g}{5}\\\\20+30g=24+24g\\\\6g=4\\\\g=\frac{2}{3}ft/year$

Option D is the correct answer.

8 0

3 years ago

I need algebra help.....

Lubov Fominskaja [6]

Answer:

$y=4(3)^x$

Step-by-step explanation:

From the table given in the question,

x y Difference Ratio

1 12 - -

2 36 36-12 = 24 $\frac{36}{12}=3$

3 108 108-36 = 72 $\frac{108}{36}=3$

4 324 324-108 = 216 $\frac{324}{108}=3$

5 972 972-324 = 648 $\frac{648}{216}=3$

There is a common ratio of 3 in each successive term.

Therefore, data given in the table will represent an exponential function.

$y=a(b)^x$

For a point $(1, 12),$

$12=a(b)^1$

$ab=12$ ------(1)

For another point of the table $(2,36)$ ,

$36=a(b)^2$

$ab^2=36$ --------(2)

Equation (2) divided by equation (1)

$\frac{ab^2}{ab}=\frac{36}{12}$

$b=3$

From equation (1),

$3a=12$

$a=4$

Therefore, exponential function will be,

$y=4(3)^x$

7 0

3 years ago

Write a vector equation of the line that passes through P(4, 7) and is parallel to a = (3, 8).

Anvisha [2.4K]

Answer:

Step-by-step explanation:

(x,y) = P + (a)t

(x,y) = (4,7) + t(3,8)

(x,y) - (4,7) = t(3,8)

(x-4, y-7) = t(3,8)

4 0

3 years ago

Factor the following polynomial. 98x3 – 18x

grigory [225]

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

3 0

3 years ago

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