MATHEMATICS MIDDLE SCHOOL

On a piece of paper, graph this system of inequalities. Then determine which region contains the solution to the system

Answers

Answer 1

Answer:

Answer:

The region that contains the solution to the system is:

Region D

Step-by-step explanation:

We are given first inequality as:

$y\leq (-1)/(3)x+3$

The graph of this will be a solid line passing through (9,0) and (0,3) with shading towards the origin.

Hence, it covers Region C and Region D.

Similarly the second inequality is given by:

$y\geq 3x+2$

The graph of this will be a solid line passing through (-2/3,0) and (0,2) with away from the origin.

Hence, it covers Region A and Region D.

Hence, the intersection region that is covered by both the inequalities is:

Region D

Answer 2

Answer: the answer will be D,
using test poin (0,0), LET ME KNOW HOW IT GOES

Related Questions

There are 1,295 students attending a small university.There are 714 women enrolled. What percent of the students are women. Equation 1295*p=714 Thanks
Sophie wrote odd numbers on her paper. what is a number sophie did not write?
Two step equation that equals 16
7. The probability that Jane smokes is 4/9. The probabilitythat she smokes and develops lung cancer is 3/10.Find the probability that she develops lung cancer, givenshe smokes.
Recall that the quadratic factors as:(x - 3)(x - 5) < 0Therefore, the intervals that must be tested arex<3,3 5.The solution set for the quadratic inequality is:

the school auditorium has 22 rows with 28 seats each.At a school concert ,29 seats were empty.How many seats were filled

Answers

twenty two multipied by twenty eight equals 616 if twenty nine seats are empty you have to do 616-29= 587

587 seats were filled with people.

The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?

Answers

32 Cards are left to be signed.

What is probability ?

The proportion of all conceivable outcomes to the number of outcomes in an exhaustive set of equally likely outcomes that result in a certain event.
Example -Since there is a 50% chance that the outcome will be heads, we can anticipate 50 heads.

total cards are 75,

then , 2/5 of 75 = 30.

now left cards 75 -30 = 45

That leaves 45 cards

1/9 of 45 = 5 cards,

so 45 -5 = 40 ⇒ that leaves 40.

now,

Calculate 20% of 40,

40 × $(20)/(100)$ = 8

that is 8 cards.

cards are left to be signed 40 - 8 = 32

Therefore, 32 Cards are left to be signed.

Learn more about probability brainly.com/question/21976495 here

#SPJ2

Answer:

There are 32 cards yet to be signed.

Step-by-step explanation:

Emma uses a 250 meter roll of crepe paper to make streamers. how many dekameters of crepe paper does Emma use

Answers

Im pretty sure its 2.5 dekameters

I have no idea how to do this: Slope= -3, y-intercept= -1 its slope-intercept formSlope= -2, y-intercept= -4

Through: (-3,2) , slope=-1/3

Through: (3,2) and (0,-5)

x-5y-5=0

Answers

Slope-intercept form is $\sf~y=mx+b$ , where $\sf~m$ is the slope and $\sf~b$ is the y-intercept.

Slope = -3, y-intercept = -1

Plug in what we know:

$\sf~y=mx+b$

$\sf~y=-3x-1$

Slope = -2, y-intercept = -4

Plug in what we know:

$\sf~y=mx+b$

$\sf~y=-2x-4$

Through: (-3,2) , slope=-1/3

Okay, here we use point-slope form, and the simplify to get it in slope-intercept form.

$\sf~y-y_1=m(x-x_1)$

Where $\sf~y_1$ is the y-value of the point, $\sf~x_1$ is the x-value of the point, and $\sf~m$ is the slope.

Plug in what we know:

$\sf~y-2=-(1)/(3)(x+3)$

Distribute -1/3 into the parenthesis:

$\sf~y-2=-(1)/(3)x-1$

Add 2 to both sides:

$\sf~y=-(1)/(3)x+1$

Through: (3,2) and (0,-5)

Now we plug this into the slope-formula to find the slope, plug the slope and one of these points into point-slope form, then simplify to get it in slope-intercept form.

$\sf~m=(y_2-y_1)/(x_2-x_1)$

(3, 2), (0, -5)
x1 y1 x2 y2

Plug in what we know:

$\sf~m=(-5-2)/(0-3)$

Subtract:

$\sf~m=(-7)/(-3)$

$\sf~m=(7)/(3)$

Plug this into point-slope form along with any point.

$\sf~y-y_1=m(x-x_1)$

$\sf~y-2=(7)/(3)(x-3)$

Distribute 7/3 into the parenthesis:

$\sf~y-2=(7)/(3)x-7$

Add 2 to both sides:

$\sf~y=(7)/(3)x-5$

x-5y-5=0

Add 5 to both sides:

$\sf~x-5y=5$

Subtract 'x' to both sides:

$-5y=-x+5$

Divide -5 to both sides:

$\sf~y=(1)/(5)x-1$

Max placed 6 cans in a box and the box was 40% full. How many cans will the box be able to hold when it is completely full?