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2 years ago

Can someone help me figure out the answer?

Mathematics

1 answer:

Ahat [919]2 years ago

6 0

Answer:

You will break even on the car wash when you buy 13.5 gallons. As long as you buy that or more, it is cheaper to get the car wash.

Step-by-step explanation:

In order to find this, we need to create equations for both situations. If we let x equal the amount of gallons purchased, we can model the first equation as:

f(x) = 3.35x

And the second equation as:

f(x) = 3.05x + 4.05

Then to find when they equal each other, we can set the two equations equal to each other and solve for x.

3.35x = 3.05x + 4.05

0.30x = 4.05

x = 13.5

This means once you buy 13.5 gallons, the prices will be the same. Any amount over that and the car wash will be cheaper

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Complete the table of values for the equation, 16x + 4y = 12.

Ann [662]

The x-y coordinates for the given equation are: (-2,11),(-1,7),(0,3), (1,-1) and (2,-5).

<h3>Linear Function</h3>

A linear function can be represented by a line. The standard form for this equation is: ax+b , for example, y=2x+7. Where:

a= the slope;
b=the constant term that represents the y-intercept.

The given equation is 16x + 4y = 12. For solving this question, you should replace the given values of x for finding the values of y.

Thus,

For x= -2, the value of y will be:

16*(-2)+4y=12

-32+4y=12

4y=12+32

4y=44

y=11

For x= -1, the value of y will be:

16*(-1)+4y=12

-16+4y=12
4y=12+16
4y=28
y=7

For x= 0, the value of y will be:

16*(0)+4y=12

0+4y=12
4y=12
4y=12
y=3

For x= 1, the value of y will be:

16*(1)+4y=12

16+4y=12
4y=12-16
4y=-4
y= -1

For x= 2, the value of y will be:

16*(2)+4y=12

32+4y=12
4y=12-32
4y=-20
y= -5

Read more about the linear equation here:

brainly.com/question/1884491

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7 0

1 year ago

Use the binomial expression (p+q)n

zvonat [6]

Answer:

{0.16807, 0.36015, 0.3087, 0.1323, 0.02835, 0.00243}

Step-by-step explanation:

The expansion of (p+q)^n for n = 5 is ...

(p+q)^5 = p^5 +5·p^4·q +10·p^3·q^2 +10·p^2·q^3 +5·p·q^4 +q^5

When the probability p=0.3 and q = 1-p = 0.7 the terms of this series correspond to the probabilities of 5, 4, 3, 2, 1, and 0 favorable outcomes out of 5 trials.

For example, p^5 = 0.3^5 = 0.00243 is the probability of 5 favorable outcomes in 5 trials where the probability of each favorable outcome is 0.3.

___

The attachment shows the calculation of these numbers using a graphing calculator. It lists them in reverse order of the expansion of (p+q)^5 shown above, so that they are the probabilities of 0–5 favorable outcomes in the order 0–5.