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2 years ago

Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2

Mathematics

2 answers:

klio [65]2 years ago

8 0

Answer:

The answer is B on edge

Step-by-step explanation:

masya89 [10]2 years ago

3 0

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

$y > \frac{2}{3}x+3$ ----> inequality A

The solution of the inequality A is the shaded area above the dashed line $y=\frac{2}{3}x+3$

The slope of the dashed line is positive

The y-intercept of the dashed line A is (0,3)

The x-intercept of the dashed line A is (-4.5,0)

$y\leq -\frac{1}{3}x+2$ ----> inequality B

The solution of the inequality B is the shaded area below the solid line $y=-\frac{1}{3}x+2$

The slope of the solid line is negative

The y-intercept of the solid line B is (0,2)

The x-intercept of the solid line B is (6,0)

The solution of the system of inequalities is the shaded area between the shaded line and the solid line

using a graphing tool

see the attached figure

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a ball is thrown straight up from the top of a tower that is 280 ft high with an initial velocity of 48 ft/s . the height of the

poizon [28]

First find the time that the ball is level with the top of the building on its descent. You can do this by solving 280 = -16^2 + 48t + 280 for t. This gives t = 3 seconds .
Then when the ball reaches the ground the time t is obtained by solving 0 = -16t^2 + 48t + 280 This gives t = 5.94 seconds.
Answer in interval notation is (3, 5.94].

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2 years ago

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Thrice of product of five and b is reduced by 2

Diano4ka-milaya [45]

3 times the product of 5 and b is reduced by 2
3*(5*b)-2
15b-2

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2 years ago

Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a

Natalija [7]

Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

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2 years ago

On a coordinate plane, a solid straight line has a positive slope and goes through (0, negative 1) and (3, 0). Everything above

Charra [1.4K]

Answer:

$y\geq\frac{1}{3}x-1$

Step-by-step explanation:

A solid straight line has a positive slope and goes through (0, negative 1) and (3, 0)

<em>Find the slope of the solid line</em>

$m=(0+1)/(3-0)\\\\m=\frac{1}{3}$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=\frac{1}{3}$

$b=-1$ ---> given problem

substitute

$y=\frac{1}{3}x-1$

Everything above and to the left of the line is shaded

so the inequality is equal to

$y\geq\frac{1}{3}x-1$

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2 years ago

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Trevor purchases a car. The value of the car is modeled by the function y=22000(0.86)t. Which statement below best describes the

stealth61 [152]

The statement below best describes the value the base 0.86 is that "the car Trevor purchased depreciates at a rate of 86%".

It should be noted thàt depreciation occurs when we buy an equipment or machine and use it. With time, due to wear and tear or usage, the value reduces.

The value of the car will not appreciate but rather depreciate. Therefore, the correct option is "the car Trevor purchased depreciates at a rate of 86%".

In conclusion, the correct option is D.

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