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3 years ago

4. Find the slope of the line through the points (-6,4) and (8,-4). m =

Mathematics

1 answer:

yanalaym [24]3 years ago

7 0

Answer:

m=4/7

Step-by-step explanation:

-4-4

8

4

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In 2018, the number of students at The Villages High School was 975 and is increasing at a rate of 2.5% per year. Write and use

avanturin [10]

Answer:

$A(t)=975(1.025)^t$

In 2025,the number of students at the villages high school=1159

Step-by-step explanation:

We are given that in 2018

Number of students at the villages high school=975

Increasing rate,r=2.5%=0.025

We have to write and use of exponential growth function to project the populating in 2025.

$A_0=975,t=0$

According to question

Number of students at the villages high School is given by

$A(t)=A_0(1+r)^t$

Substitute the values

$A(t)=975(1+0.025)^t=975(1.025)^t$

t=7

Substitute the value

Then, the number of students at the villages high school in 2025

$A(7)=975(1.025)^7=1158.96\approx 1159$

8 0

3 years ago

Read 2 more answers

18. One month, the Taylor family had cash receipts of $876.16. Their excess of cash receipts above cash payments was $56.14. Wha

Valentin [98]

$820.02

Step-by-step explanation:

Since the Taylor family had cash receipts of $876.16 and their excess of cash receipts above cash payments was $56.14.

The total cash payments for the month will be calculated as:

= $876.16 - $56.14

= $820.02

6 0

3 years ago

If the values in the table below model a proportional relationship, what is the equation for the function?

Jet001 [13]

Given:

The table represents a proportional relationship.

To find:

The equation of the function.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$ ...(i)

where, k is the constant of proportionality.

From the given table it is clear that the function passes through (2,1). So, the equation must be satisfied by the point (2,1).

Putting x=2 and y=1 in (i), we get

$1=k(2)$

$\dfrac{1}{2}=k$

Putting $k=\dfrac{1}{2}$ , we get

$y=\dfrac{1}{2}x$

Therefore, the correct option is A.

6 0

3 years ago

Dairy farmers are aware there is often a linear relationship between the age, in years, of a dairy cow and the amount of milk pr

Jobisdone [24]

Answer:

B. A cow of 5 years is predicted to produce 5.5 more gallons per week.

Step-by-step explanation:

Let $M(a) = 40.8-1.1\cdot a$ , where $a$ is the age of the dairy cow, measured in years, and $M(a)$ is the predicted milk production, measured in gallons per week.

Besides, we consider $a_{1}$ and $a_{2}$ , such that $a_{1}\ne a_{2}$ , we define the difference between predicted milk productions ( $\Delta M$ ) below: