All categories

4 years ago

How can a solution to a system of linear equations be determined exactly by graphing?

Mathematics

1 answer:

givi [52]4 years ago

5 0

A solution something something and that’s the answer

You might be interested in

Find the intercept of x-y=4

tiny-mole [99]

X intercept : (4,0)

y intercept: (0, -4)

8 0

3 years ago

Read 2 more answers

David is 38 years old and his son Frank is 8. In how many years will David be twice as old as Frank?

Brut [27]

22 years.
38+22=60
8+22=30
60 divided by 2 = 30

6 0

4 years ago

A home owner wants to purchase two different chairs for the living room, one for in front of the fire place and one for in front

Ipatiy [6.2K]

Using the combination formula, it is found that photos of 9 different chairs were shown to the home owner.

The order in which the chairs are chosen is important, hence, the permutation formula is used to solve this question.

<h3>What is the permutation formula?</h3>

$P_{n,x}$ is the number of different permutations of x objects from a set of n elements, given by:

$P_{n,x} = \frac{n!}{(n-x)!}$

In this problem, two chairs are chosen from a set of n, and there are 72 different outcomes, hence:

$P_{n,x} = 72, x = 2$

$P_{n,x} = \frac{n!}{(n-x)!}$

$72 = \frac{n!}{(n-2)!}$

$72 = \frac{n(n - 1)(n - 2)!}{(n-2)!}$

$n^2 - n = 72$

$n^2 - n - 72 = 0$

Which is a quadratic function with coefficients $a = 1, b = -1, c = -72$ , hence:

$\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-72) = 289$

Taking the positive root:

$x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{289}}{2} = 9$

Photos of 9 different chairs were shown to the home owner.

You can learn more about the permutation formula at brainly.com/question/25925367

3 0

2 years ago

Kate bought a bag of grapes that was 3.2 pounds. The bag of grapes cost $6.24. What was the price per pound for the bag of grape

vagabundo [1.1K]

Answer:

$1.95

Step-by-step explanation:

3.2 pounds -> $6.24

1 pound -> $6.24÷3.2=$1.95

8 0

3 years ago

Paul wants a bike that cost $400. If he had saved 60% of this amount, how much had he saved.

enyata [817]

Hey!

To solve this problem, we'll first start by creating an equation.

Our Created Equation :

$\frac{400 x 60}{100}$

Now we'll solve it step by step to find the answer.

So we should begin by multiplying the to portion of our fraction.

400 x 60 = 24,000

Next, we divide our answer by 100, since that is the next step to our equation.

24,000 ÷ 100 = 240

So, our answer is...

Paul has already saved $240.00 of the $400.00 he must pay for a new bike.

Hope this helps!

- Lindsey Frazier ♥

4 0

3 years ago