All categories

2 years ago

(-4,2) is a solution to the following graph. True or False?

Mathematics

1 answer:

emmasim [6.3K]2 years ago

5 0

Plugging in the values of (-4,2) into the two inequality statements to see whether it is part of the solution to the inequality system:

y ≥ -5x + 3
2 ≥ -5(-4) + 3
2 ≥ 20 + 3
2 ≥ 23 (false statement).

For the other inequality statement, substitute 2 for the y value:

y > -2
2 > -2 (true statement).

Since (-4,2) only satisfies one of the inequality statements, then it means that it is not a solution to the graph.

Therefore, the correct answer is FALSE.

Please mark my answers as the Brainliest if you find my explanation helpful :)

You might be interested in

I promise I will mark as brainiest if a speed of a car increase its average speed in a journey of 200 miles by 5 mile/hour the j

jok3333 [9.3K]

Answer:

$\large \boxed{\sf \ \ \ \dfrac{\sqrt{4025}-5}{2}=29.22144... \ \ \ }$

Step-by-step explanation:

Hello

<u>Let's note the original speed of the car v</u>

it means that in 1 hour he is going v miles

so to go 200 miles it takes ( in hour)

$\dfrac{200}{v}$

If the speed of the car is v+5 than to go 200 miles it takes (in hour)

$\dfrac{200}{v+5}$

and this time is one hour less so we can write

$\boxed{\sf \ \ \dfrac{200}{v+5}=\dfrac{200}{v}-1 \ \ }$

We can multiply by v(v+5) both parts of the equation so

$200v=200(v+5)-v(v+5)\\\\200v=200v+1000-v^2-5v\\\\v^2+5v-1000=0$

$\Delta=b^2-4ac=5^2+4*1000=4025\\\\ \text{There are potential solutions }\\\\\ \ \ \ \ x_1=\dfrac{-5-\sqrt{4025}}{2}\\\\\ \ \ \ \ x_2=\dfrac{-5+\sqrt{4025}}{2}$

Only one is positive and this is is

$x_1=\dfrac{\sqrt{4025}-5}{2}=29.22144...$

So the original speed is 29.22144... mph

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0

3 years ago

A view that shows half of an object as a sectional view and the other half of the object as a normal view is called a __________

Troyanec [42]

I think, it is half section.

6 0

2 years ago

Choose the one alternative that best completes the statement or answers the question

kifflom [539]

Answer:

Step-by-step explanation:

It's always 50% chance you'll win and 50% chance you'll lose.

4 0

2 years ago

Read 2 more answers

What is the fraction expressed in lowest terms?

alekssr [168]

3/11 is the simplified version of this fraction

4 0

3 years ago

Read 2 more answers

7) Explain how to divide $53.56 by 10 WITHOUT USING A CALCULATOR

Sophie [7]

Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.

Hence the answer is 5.356.

Step-by-step explanation:

Hope it helps

4 0

2 years ago