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Alexandra [31]
3 years ago
7

Two linear functions are combined with addition, and then the same two linear functions are combined by

Mathematics
1 answer:
svlad2 [7]3 years ago
5 0
72 x 2 is. 64 and 144 is 108
You might be interested in
Lindsey rows a boat downstream for 80 miles. The retum trip upstream took 12 hours longer. If the current flows at 3 mph, how fa
slamgirl [31]

Answer:

14hrs

Step-by-step explanation:

v = speed in still water

 

t = downstream trip time

 

d = distance = 182 miles; same distance both downstream and upstream

 

t + 12 = upstream return trip time

 

u = current flow = 3 mph

 

Downstream:  d = (v + u)t;  Upstream:  d = (v - u)(t + 12)

 

(v - 3)(t + 12) = 182  (equation 1)

(v + 3)t = 182  (equation 2)

 

Subtract equation 2 from equation 1 to get t:

 

(vt + 12v -3t -36) - (vt + 3t) = 0

 

12v - 6t - 36 = 0

 

t = 2v - 6

 

Substitute this result for t into equation 2 and solve for v:

 

(v + 3)(2v - 6) = 182

 

2v^2 - 6v + 6v - 18 = 182

 

v^2 = 100

 

v = 10 mph

 

t = 2v - 6 = [2(10) - 6] hrs = 14 hrs

7 0
3 years ago
Bill wants to bould a shed that is 2 feet longer than it is wide. Then he want to fence in a pasture area using 2 sides of the s
soldier1979 [14.2K]
To answer this item, I would assume that the pasture is in a rectangular form. The area of a rectangle is the product of the dimensions. Let x be one of the sides of the pasture and the other dimension will become x+2. The equation that would best represent the scenario is,
                                      <em>A = (x)(x + 2)</em>
7 0
3 years ago
Which of the following represents the set in words?
jekas [21]

Answer:

It's actually: None of these.

Think about it: In this case we have an inequality, of x ≤ 0.

This basically means, that x can be less than OR equal to 0.

But 0 is neither negative or positive, so we can eliminate the following answer choices:

- all positive integers

- all negative real numbers

- all positive real numbers

- all negative integers

And we are left with "None of these"

Let me know if this helps!

3 0
3 years ago
The ratio of the area between a small square of land and a large squareof land is 3: 7. Given that the total area of the two squ
lakkis [162]

Given:

The ratio of the area between a small square of land and a large square

of land is 3: 7.

Total area of the two squares of land (in sq. meter) is 4000.

Required:

The area of each square of land.

Answer:

We have the ratio of the area between a small square of land and a large square of land is 3: 7.

Let

x^

be the area of the square of land.

Then their ratio is given by,

3x^:7x^

Also given that the total area of the two squares of land (in sq.meter) is

4,000.

The area of

Therefore,

\begin{gathered} 3x^+7x^=4000 \\ \Rightarrow10x^=4000 \\ \Rightarrow x^=400 \\  \end{gathered}

Therefore,the area of small square (in sq. meter) is,

3x=3(400)=1200

and the area of large square (in sq. meter) is,

7x=7(400)=2800

Final Answer:

The area of small and large square respectively (in sq. meter) is,1200 and 2800.

7 0
1 year ago
1. An AP Statistics class starts a project to estimate the average number of hours a student at their high school sleeps per nig
Aleks [24]

Answer:

(C) Sample: the 120 students surveyed. Population: the 1200 students at the high school. Parameter of interest: the average number of hours a student at this high school sleeps per night.

Step-by-step explanation:

The correct answer is (C). The sample is a subset of the population, and the parameter is a characteristic of the population of interest.

6 0
3 years ago
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