Write the digits that make each equation true

Which point would be a solution to the system of linear inequalities ?

brilliants [131]

Answer:

(12,-6)

Step-by-step explanation:

we have

$y\leq \frac{4}{3}x+5$ ----> inequality A

$y\geq -\frac{5}{2}x+5$ ---> inequality B

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (makes true both inequalities)

Verify each point

Substitute the value of x and the value of y of each ordered pair in the inequality A and in the inequality B

case 1) (0,-1)

Inequality A

$-1\leq \frac{4}{3}(0)+5$

$-1\leq5$ ----> is true

Inequality B

$-1\geq -\frac{5}{2}(0)+5$

$-1\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 2) (0,3)

Inequality A

$3\leq \frac{4}{3}(0)+5$

$3\leq5$ ----> is true

Inequality B

$3\geq -\frac{5}{2}(0)+5$

$3\geq 5$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 3) (-6,-6)

Inequality A

$-6\leq \frac{4}{3}(-6)+5$

$-6\leq-3$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(-6)+5$

$-6\geq 20$ ----> is not true

therefore

The ordered pair is not a solution of the system

case 4) (12,-6)

Inequality A

$-6\leq \frac{4}{3}(12)+5$

$-6\leq21$ ----> is true

Inequality B

$-6\geq -\frac{5}{2}(12)+5$

$-6\geq -25$ ----> is true

therefore

The ordered pair is a solution of the system (makes true both inequalities)

8 0

3 years ago

The top one divided by the bottom one. √2+√5/√2−√3

Artist 52 [7]

Answer:

3.650282

Step-by-step explanation:

Google is a very powerful tool, use it

8 0

3 years ago

Izzy runs on the schools track team. She runs 4 3/5 miles in 2/3 hour. What is Izzy's speed in miles per hour?

Mars2501 [29]

With fractions its very easy to get 1 as a whole numer (Which is what were trying to find. ONE miles o we know how much is per hour (one hour)). All you need to do is multiply the 2/3 hour by 3/2. The numers switched. You do this with both variables, the 3/5 miles and the 2/3 hour. After this the hour variable should have turned into a 1 if done correctly. Then we multilly the miles variable by 3/2. when done correctly we get the answer of 6 9/10 miles.

After you've done this, you then know your answer. every 1 hour Izzy runs 6 9/10 miles.

Another way of saying this is Izzy runs 6.9 miles an hour or 6.9mph.

Hope this helped. please consider making this the brainliest answer as Im trying my hardest to provide you with the correct answer! Happy day!!

5 0

3 years ago

BC =using the Distance Formula

riadik2000 [5.3K]

Answer: Option A: 5

Step-by-step explanation:

If yo have the pairs (a, b) and (c, d)

The distance between these two points is:

distance = √( (a - c)^2 + (b - d)^2)

Here we want to find the distance between points B and C.

We can see that the coordinates of each one are:

point B: (-5, 5)

Point C: (-1, 2)

Then the distance between these points is:

AB = √( (-5 -(-1))^2 + (5 -2)^2) = 5

AB = √( 4^2 + 3^2)

Then the correct option is A

5 0

3 years ago

Katie wrote a book and wants to publish it herself. She created the equations below to represent the cost to publish her book an

Vlad1618 [11]

Answer:

Is there equations given ??

Step-by-step explanation:

7 0

3 years ago