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miss Akunina [59]
2 years ago
4

On a coordinate plane, 2 lines are shown. The first solid straight line has an equation of y greater-than-or-equal-to negative o

ne-fifth x + 1, has a negative slope, and goes through (negative 5, 2) and (0, 1). Everything above the line is shaded. The second dashed solid line has equation y less-than 2 x + 1, has a positive slope, and goes through (negative 2, negative 3) and (0, 1). Everything to the right of the line is shaded. Which ordered pairs make both inequalities true? Check all that apply. (–2, 2) (0, 0) (1,1) (1, 3) (2, 2)
Mathematics
2 answers:
Romashka [77]2 years ago
5 0

Answer:

(-2,2) (1,1) (2,2)

Step-by-step explanation:

the following ordered pair (-2,2) (1,1) (2,2) makes both inequalities true because they are located in the region that staisfies both inequalities.

The pair (0,0) does not satisfy because it is at the origin and not inclusive in the shaded region

And the ordered pair (1,3) means when x =1 , y = 3; where y =3 falls on the line of the inequality y less than 2x+1 and the line is a dashed solid line supported with fact that it is strictly less than, hence makes the ordered pair fall out of the region.

Vedmedyk [2.9K]2 years ago
4 0

Answer:

its C and E

Step-by-step explanation:

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Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp
Mnenie [13.5K]

Answer:

15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = 4\frac{1}{2} = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

AC^2=AD^2+DC^2  = 6^2+4.5^2=36+20.25=56.25

AC= \sqrt{56.25} = 7.5 feet

Similarly in triangle <em>BDC</em>,

BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25

BD=\sqrt{56.25} = 7.5 feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

3 0
3 years ago
When planning a party you want to know whom to invite. Among the people you would like to invite are three touchy friends.You kn
harkovskaia [24]

Answer:

Jasmine only.

Jasmine and Kanti only.

No one.

Step-by-step explanation:

There is no possible way to invite all three friends.

Since both Samir and Kanti will not attend if someone else is not invited, Jasmine is the only friend that can be invited on her own:

One person: Jasmine.

When inviting two people, if Jasmine is invited, Samir can't be invited and Kanti will only attend if Jasmine also does. Therefore, Jasmine and Kanti can go together and there is no way Kanti can be invited.

Two people: Jasmine and Kanti.

Furthermore, if nobody is invited, no one will be unhappy.

5 0
2 years ago
Sandy is ordering bread rolls for her party. She wants 3/5 of the rolls to be whole wheat. What other fractions can represent th
Vsevolod [243]
9/15 rolls would be wheat
7 0
2 years ago
The sum of two numbers is −138. Their difference is −2. Find the numbers.
Natasha_Volkova [10]

Answer:

The Answer is: The first number is -70 and the second number is -68.

Step-by-step explanation:

Let f = first number and s = second number.

The sum of both is -138:

f + s = -138

The difference is -2

f - s = -2

Solve for f:

f = -2 + s

f = s - 2

Substitute:

s - 2 + s = -138

2s = -136

s = -68, the second number

Solve for f:

f = s - 2

f = -68 - 2 = -70, the first number

Proof:

f + s = -138

-68 + (-70) = -138

-138 = -138

Then:

f - s = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

Hope this helps! Have an Awesome Day!! :-)

5 0
2 years ago
A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350
kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by.  When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0
2 years ago
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