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Darina [25.2K]
3 years ago
14

Which is the solution set of the compound inequality 3.5 x -10> -3 and 8x -9 <39

Mathematics
2 answers:
aivan3 [116]3 years ago
7 0
3.5x-10>-3  add 10 to both sides

3.5x>13  divide both sides by 3.5

x>26/7

x=(26/7, +oo)

...

8x-9<39  add 9 to both sides

8x<48  divide both sides by 8

x<6

x=(-oo,6)

Since this is a compound inequality with AND the solution set will be the union of the two intervals found above.

x=(26/7, 6)
Zielflug [23.3K]3 years ago
7 0

Answer:

2<x<6

Step-by-step explanation:

I graphed it

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4 0
3 years ago
If the output number y is -52 (y=5x-2) what is the input number? SHOW WORK
nordsb [41]

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the input number is -10

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output is always y

input is always x

so instead of y, put -52

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8 0
2 years ago
What is the surface area of a conical grain storage tank that has a height of 37 meters and a diameter of 16 meters? Round the a
jek_recluse [69]
The surface area of a cone is equal to the base plus the lateral area.

The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.

To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433

The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)

Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
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