Graph slope -1 and y intercept (0,10)

Answers

Answer 1

Answer: Graphing linear equations

Put a point at the y-intercept (0, 10).
Then use the slope to find other points.
The slope -1 is actually -1/1 (the /1 is left out)
The rise is -1, and the run is 1.
So for every change of 1 in x, make a change of -1 in y.
Go to the right 1 and down 1, plot a point. Do this again and again.
You can also do it in the opposite direction.
Use as straightedge to connect your points.

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Orígenes de los números naturales

Twice the difference of a number and ten is fifty-four. Find the number,

Answers

Answer:

Step-by-step explanation:

2(x-10)=54

2x-20=54

2x=74

x=37

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?The graph of f(x) = x2 is widened.
The graph of f(x) = x2 is shifted left 3 units.
The graph of f(x) = x2 is shifted up 30 units.
The graph of f(x) = x2 is reflected over the x-axis.

Answers

Changing g(x) to this form: a(x-h) + k, we have:
g(x) = 4 (x+3)^2 - 6

Comparing this to the original equation, f(x) = x^2, we have the following transformations:

The graph is widened.
The graph is shifted left 3 units.

Using translation concepts, it is found that the correct option is given by:

The graph of f(x) = x² is shifted left 3 units.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that the original function is:

f(x) = x².

The translated function is:

g(x) = 4x² + 24x + 30.

Factoring it we have that:

g(x) = 4(x² + 6x + 7.5) = 4[(x + 3)² - 1.5].

Since x -> x + 3, the function was shifted left 3 units.

More can be learned about translation concepts at brainly.com/question/4521517

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In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, 12 on all three, and 1 on none of them. How many students are in the class?

Answers

Answer:

37 students are in the class

Step-by-step explanation:

There are 8 regions which the most inclusive clue is the inner one with 12.

"14 on a plane and boat" so we fill the intersection with plane and boat with 14-12=2
"20 on train an boat" 20-12=8 in the intersection
"15 on plane and train" = 15-12 = 3

now we look at this:

"22 students have been on a plane" 22 - (2+12+3) = 5 on the plane
"28 on a train" 28 - (12+8+3) = 5 on the train
"23 on a boat" 23-(12+8+2) = 1 on the boat

Just add up all the 8 numbers in the regions:

12+2+8+3+5+5+1+1=37

Best Answer: Q#1!
In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, and 12 on all three, and 1 on none of them. How many students are in the class?

(1, 5, 3, 12, 2, 5, 8, 1) = 37

Q#3!
In a class of 32 students, 17 are wearing jeans, 8 are wearing T-shirts, and 7 are wearing both. How many students are wearing jeans and something other than a T-shirt?
17 - 7 = 10

Is this right? isn't the Directly proportional equation this. x=(1/k)y

Answers

It's y=kx. But 'k' is any constant. So my 'k' can easily be 1/(your k). The key is that when 'x' or 'y' increases by some factor, the other one also increases, by some constant multiple of the same factor. If so, then they're proportional.

Why does it take 30 years to pay off $150,000 loan, even though you pay $1000 a month?

Answers

This would be due to interest. As the month ends, you pay $1000, but your debt has increased as interest has been added onto your loan, making you go from owing $150000 to owing $150000+x, x being the interest gained at the end of the month.

Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money to fund the loan. the rest of the loan is paid out in interest.

Given

It takes 30 years to pay off a $150,000 loan, even though you pay $1000 a month.

How to calculate the interest on the loan amount?

The loan amount is on monthly basis thus, they charge interest on a monthly basis, and thus as we repay a certain value of the loan and on the remaining value interest is charged which results in the higher values.

The amount of interest charged results in the higher cost of the loan amount and so it took more time to repay the loan than the actual time of the repay of the principal amount.

The amount you have to pay the bank is;

= $150000 + Interest

Hence, Even though the principal would be paid off in just over 10 years, it costs the bank a lot of money to fund the loan. the rest of the loan is paid out in interest.

To know more about Interest click the link given below.

brainly.com/question/16376378

Which of the following is a solution of y - x < -3?

Answers

If you would like to find the solution for the inequation y - x < - 3, you can do this using the following steps:

y - x < - 3
y - x + x < - 3 + x
y < - 3 + x
y < x - 3

The correct result would be y < x - 3.

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