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Ksivusya [100]
1 year ago
15

Identify the independent and dependent variables. Write a function in function notation. Then use the function to solve the prob

lem.
Stan, a local delivery driver, is paid $3.50 per mile driven plus a daily amount of $75. On Monday, he is assigned a route that is 30 miles long. How much is he being paid for that day?
Mathematics
1 answer:
bekas [8.4K]1 year ago
7 0

Answer:

He is being paid $180 on Monday.

Step-by-step explanation:

Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.

Here is the function that can be used to represent the situation:

f(x) = 3.50x + 75

Now, plug in 30 to find out how much he earns after completing a 30 mile route:

f(30) = 3.50(30) + 75

f(30) = 105 + 75

f(30) = 180

Also, the $75 is a fixed amount. No variable association.

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What is the vertex of the graph of the following equation? y = x^2 + 2x-3
ExtremeBDS [4]

Answer:

vertex = (- 1, - 4 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x = - \frac{b}{2a}

y = x² + 2x - 3 ← is in standard form

with a = 1, b = 2 , then

x = - \frac{2}{2} = - 1

Substitute x = - 1 into the equation for corresponding value of y

y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4

vertex = (- 1, - 4 )

6 0
3 years ago
Which equation describes a line of symmetry for the figure shown? x = 0 y=−x y = x y = 0
Katena32 [7]

Answer:

y=0

Step-by-step explanation:

Hope this helped!!!

6 0
3 years ago
Can i have a z score that extends past -0.5 or +5.0
Dimas [21]
Yes, of course you can! 
7 0
3 years ago
Please help me because I need to turn this on tommorrow
Trava [24]
YAY I KNOW HOW TO DO THIS OKAY
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7 0
3 years ago
Read 2 more answers
4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
3 years ago
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