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3 years ago

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Let y represent the total cost of publishing a book (in dollars). Let x represent the number of copies of the book printed. Supp

ose that x and y are related
by the equation 15x+1100 = y.

1 answer:

kotykmax [81]3 years ago

4 0

What’s the question?

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The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G

Alexxx [7]

A)
SLOPE OF f(x)
To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points $( x_{1} , y_{1} )$ and another $( x_{2} , y_{2} )$ . It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
$( x_{1} , y_{1} )= (0.0)$
$( x_{2} , y_{2} )= (1.3)$

The slope formula is: $m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1} }$
We now substitute the values we got from the points to obtain.
$m= \frac{3-0}{ 1-0 } = \frac{3}{1}=3$

The slope of f(x) = 3

SLOPE OF g(x)
The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

That is, since g(x)=7x+2 the slope is 7 and the y-intercept is 2.

The slope of g(x) = 2

B)
Y-INTERCEPT OF g(x)
From the work in part a we know the y-intercept of g(x) is 2.

Y-INTERCEPT OF f(x)
The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

So the function g(x) has the greater y-intercept

5 0

3 years ago

Bubbles bakery has 24 oatmeal cookies, 36 vanilla bean cookies, 42 chocolate chip cookies. What is the greatest common factor bu

STatiana [176]

Answer:6

Step-by-step explanation:

We have three groups of cookies as follows:

24 oatmeal

36 vanilla bean

42 chocolate chip

If we breack down into factors we get

24 2 24 = 2³ * 3 36 2 36 = 2²*3³ 42 2 42 = 2*3*7

12 2 18 2 21 3

6 2 9 3 7 7

3 3 3 3 1

1 1

Fom where we can get that biggest common factor is 6

24 ÷ 6 = 4

36 ÷ 6 = 6

42 ÷ 6 = 7

Then Bakery will have 4 groups of oatmeal cookies, 6 of vanilla bean, and 7 chocolate chip

7 0

4 years ago

What is the smallest multiple of 18 of the form 2A945B, where A and B are digits?

musickatia [10]

Answer:

$219456$

Step-by-step explanation:

It must end in $0,2,4,6,8$ (divisible by 2 rule) and the digits must sum to a multiple of 9(divisible by 9 rule).

The digit sum is $2+A+9+4+5+B=20+A+B$ .

We want to make $A$ as low as possible because it's a higher digit than $B$ .

If $A$ is as low as possible, we have that the sum is $20+0+7=27$ . Uh-oh. $B$ has to be even! So $A=0$ doesn't work.

If $A=1$ , we have that the sum is $20+1+6=27$ . Yay!

So, the answer is $\boxed{219456}$

6 0

3 years ago

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you tak

Alona [7]

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

68 defective out of 400:

This means that $p = \frac{68}{400} = 0.17$

From the shipment you take a random sample of 25.

This means that $n = 25$

Standard deviation for the number of defective parts in the sample:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88$

The standard deviation for the number of defective parts in the sample is 1.88.

6 0

3 years ago

Find the percent change to the nearest whole percent. from 45 feet to 95 feet.

VMariaS [17]

Answer:

211%

Step-by-step explanation:

To calculate the percentage change between these two numbers we need to divide the end result from the initial starting point. Once we do this we need to multiply the product by 100 to get the percentage value.

95 / 45 = 2.11111

2.11111 * 100 = 211.11%

Finally, we can see that the percentage change from 45 ft. to 95 ft. is 211.11%. If we round this to the nearest whole percent it would be a change of 211%

8 0

3 years ago