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3 years ago

Plotting these two equations on a graph. p=6-2q p=4+q

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

7 0

Put into slope intercept form, y=mx+b where m=slope
p=-2q+6
slope is -2
subsitute values for q and get values for p
q=0, p=6
(q,p)
(0,6)
(1,4)

p=q+4
slope is 1
subsitutte
q=0,p=4
(q,p)
(0,4)
(1,5)

below are the graphs

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The Department of Streets of a city has a budget of $1,962,800 for resurfacing roads and hiring additional workers this year.

ryzh [129]

Answer:

84,000 m + 36,000 p = 1,962,800

Step-by-step explanation:

Let m denotes number of miles of 2-lane roads the department could resurface and p denotes number of workers hired by the department of Streets of a city.

The cost of resurfacing a mile of 2-lane road is estimated at $84,000.

So,

Cost of resurfacing m miles of 2-lane road = $84,000 m

The average starting salary of a worker in the department is $36,000 a year

So,

Total salary paid to p workers = $36,000 p

Now, total amount is equal to $1,962,800.

84,000 m + 36,000 p = 1,962,800

5 0

3 years ago

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10

posledela

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

$V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3$

Hence the volume of cement is 3240 in^3

8 0

3 years ago

Use the drop-down menus to complete the statements. in order for f–1(x) to be a function, the domain of f(x) can be restricted t

zmey [24]

Using concepts of the inverse function, it is found that:

The domain of f(x) has to be restricted to x >= 1. Under this restriction, the domain of f-1(x), would be (2,∞), having the same minimum value as the original function f(x).

<h3>How to find the inverse of an equation or a function?</h3>

To find the inverse, we have to exchange x and y and then isolate y. This can only happen if the function f(x) is injective, that is, each value of the output is related to only one value of the input. Then:

The domain of f(x) is the range of the inverse function f-1(x).

The range of f(x) is the domain of the inverse function f-1(x).

Researching this problem on the internet, we are given an absolute value function with vertex at x = 1, meaning that for the inverse, the domain of f(x) has to be restricted to x >= 1. The domain of the inverse would be the range of f(x), which is (2,∞).

Then:

The domain of f(x) has to be restricted to x >= 1. Under this restriction, the domain of f-1(x), would be (2,∞), having the same minimum value as the original function f(x).

More can be learned about inverse functions at brainly.com/question/8824268

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6 0

2 years ago

Find the missing angle measure

TiliK225 [7]

Answer:

1) $122$ °