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marishachu [46]
3 years ago
9

Examine the following system of inequalities.

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

Step-by-step explanation:

we have

y > -x+4 ----> inequality A

The solution of the inequality A is the shaded area above the dotted line y=-x+4

The dotted line passes through the points (0,4) and (4,0) (y and x-intercepts)

and

y \leq -(1/2)^{x} +6 -----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-(1/2)^{x} +6

The solid line passes through the points (0,5) and (-2,2)

therefore

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

see the attached figure

Dotted linear inequality shaded above passes through (0, 4) and (4, 0). Solid exponential inequality shaded below passes through (negative 2,2) & (0,5)

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Wendy scores 24 points in a basketball game. If all of her baskets were 3-point shots, how many baskets did she make?
yarga [219]
Hello!

If all her shots were 3 pointers we will just divide

24÷3=8

Wendy made 8 baskets.

I hope this helps!
5 0
3 years ago
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3(x- 1) - 8 = 4 (1+ x) = +5
katrin [286]

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

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Step-by-step explanation:

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2 years ago
If MN = 3 and MN = AB, then AB = 3. This is an illustration of which property?
vova2212 [387]
<span>If MN = 3 and MN = AB, then AB = 3
</span>answer
Transitive Property
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2 years ago
What is 5.5 divided by 3.5
Harlamova29_29 [7]

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Nate

5 0
3 years ago
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th
Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

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As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

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