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sweet [91]
3 years ago
8

Solve the inequality |4x+2|<26

Mathematics
1 answer:
miv72 [106K]3 years ago
7 0

Answer:

-7<x<6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variables

Mark me brainliest please!

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Consider the two shown below Are the two triangles congruent
Rzqust [24]

Answer:

yes

Step-by-step explanation:

5 0
2 years ago
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
3. Which value is not needed to construct a box plot?
victus00 [196]
The answer is d because
5 0
2 years ago
Consider the decimal 0.101001000100001000.... do you think this decimal represents a rational number?why or why not
Katarina [22]
The decimal is irrational because it is not repeating.
4 0
3 years ago
Solve for x in the equation x − 4 = 7.
Feliz [49]

Answer:

x=11

Step-by-step explanation:

Simplifying X= 7+4

therefore x=11

8 0
3 years ago
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