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3 years ago

((7,4),(6,3),(5,2) Function? Domain: Range:

Mathematics

1 answer:

Naya [18.7K]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

For a function each value of x in the domain must map to exactly one unique value of y in the range.

This is the case here so it is a function.

The domain is the x- coordinates of the points

domain is { 5, 6, 7 }

The range is the y- coordinates of the points

range is { 2, 3, 4 }

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Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 min

kow [346]

Answer:

$h=40t+9700$

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, $t_1=15$ min, the elevation, $h_1= 10,300$ feet and

at the time $t_2= 30$ min, the elevation, $h_2=10,900$ feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let $h$ be the elevation at any time instant $t$ , so the linear relation among these quantities is

$h=mt+C_0\;\cdots(i)$

where $m$ is the rate of change of elevation with respect to time and $C_0$ is constant.

The change in the elevation, $\Delta h=h_2-h_1= 10,900-10,300=600$ feet.

and the change in time, $\Delta t=t_2-1_1=30-15=15$ min.

So, change in the elevation in unit time,

$m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40$ feet/min.

Now, from equation (i)

$h=40t+C_0$

As the elevation, $h=h_1$ at time $t=t_1$ , so

$10,300=40\times15+C_0$

$\Rightarrow C_0=9700$

Hence, the required equation is

$h=40t+9700$

where the elevation, $h$ , is in feet and time, $t$ , is in minutes.

3 0

3 years ago

Solve for a 2.5+5a=3a+10.5

Oksi-84 [34.3K]

Answer:

a = 4

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonth

Bogdan [553]

Answer:

$103968.11

Step-by-step explanation:

Given information:

Principal amount = $240,000

Rate of interest = 1.2% = 0.012

Number of years = 30

Number of times in an year = 24

Formula for amount:

where

P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.

Now,

Hence, the interest is $103968.11.

6 0

3 years ago

There are 90 girls and 60 boys Participating in a race. The coach separates them into two equal groups made of all girls or or b

Lady_Fox [76]

90/2 is 45.. 60/2 is 30.. 30+45=75... 75 students would be able to be in each of the 2 groups, each containing 45 girls and 30 boys ... Hope I helped (:

7 0

3 years ago

What are factors of 112? Explain your reasoning.

blondinia [14]

Answer:

1,2,4,7,8,14,16,28,56,112

Step-by-step explanation:

12 is a composite number. 112 = 1 x 112, 2 x 56, 4 x 28, 7 x 16, or 8 x 14

3 0

3 years ago