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dmitriy555 [2]
3 years ago
14

Which graph represents the solution set for the inequality -8 < 8 + 4x < 28

Mathematics
1 answer:
valina [46]3 years ago
8 0

Answer:

The solution set for the inequality is the interval (-4, 5)

Step-by-step explanation:

-8 < 8 + 4x < 28

Subtracting 8:

-8 -8 < 8 + 4x - 8 < 28 - 8

-16 < 4x < 20

Dividing by 4:

-16/4 < 4x/4 < 20/4

-4 < x < 5

x ∈ (-4, 5)

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What is the equation in slope-intercept from of the line that passes through the points (-4,47) and (2,-16
Harrizon [31]

Answer:

<h3>Y=-21/2x+5</h3>

Step-by-step explanation:

<u><em>SLOPE FORMULA:</em></u>

y₂-y₁/x₂-x₁=rise/run

<u><em>SLOPE-INTERCEPT FORM:</em></u>

y=mx+b

m represents the slope.

b represents the y-intercept.

y₂=(-16)

y₁=47

x₂=2

y₁=(-4)

Solve.

\displaystyle \mathsf{\frac{(-16)-47}{2-(-4)}=\frac{21}{6}=\frac{21}{2}=-\frac{21}{2}   }}

Furthermore, the y-intercept is 5.

y=-21/2x+5

The correct answer is y=-21/2x+5.

6 0
3 years ago
A circular wading pool has a diameter of 5 feet a circular swimming pool has the radius of 15 feet how many times greater is the
miskamm [114]

Answer:

The swimming pool is 5 times bigger.

Step-by-step explanation:

5 x 3.14=15.7 ft

15 x 2 x 3.14= 78.5 ft

78.5/15.7=5 times bigger

8 0
3 years ago
Help for 1,2,3,4 please
ikadub [295]

In every case, you're finding the surface area of a rectangular prism. That area is the sum of the areas of the 6 rectangular faces. Since opposite faces have the same area, the formula can be written

... S = 2(LW +WH +HL)

The number of multiplications can be reduced if you rearrange the formula to

... S = 2(LW +H(L +W))

where L, W, and H are the length, width, and height of the prism. (It does not matter which dimension gets what name, as long as you use the same number for the same variable in the formula.)

When you're evaluating this formula over and over for diffferent sets of numbers, it is convenient to let a calculator or spreadsheet program do it for you.

1. S = 2((5 cm)(5 cm) +(5 cm)(5 cm +5 cm)) = 2(25 cm² +(5 cm)(10 cm))

... = 2(25 cm² + 50 cm²) = 150 cm²

2. S = 2(12·6 + 2(12+6)) mm² = 2(72 +36) mm² = 216 mm²

3. S = 2(11·6 + 4(11 +6)) ft² = 2·134 ft² = 264 ft²

4. S = 2(10·4 +3(10 +4)) in² = 164 in²

5 0
3 years ago
What quadrilateral always has 4 congruent angles and opposite that are congruent and paralle
nignag [31]
Another quadrilateral that you might see is called a rhombus. All four sides of a rhombus are congruent. Its properties include that each pair of opposite sides is parallel, also making it a parallelogram. In summary, all squares are rectangles, but not all rectangles are squares.
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olga55 [171]

Answer:

Step-by-step explanation:

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