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3 years ago

Solve the inequality by stating the solution and graphing it. 3 – 5x < -4x + 9

Mathematics

1 answer:

svet-max [94.6K]3 years ago

7 0

Answer:

x>-6

graphing (-6,0)

Step-by-step explanation:

3-5x<-4x+9-- Add 5x to -4x

3<x+9--- subtract 9 from both sides

-6<x

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3 years ago

Solve the following system of equations. What is one x-value of a solution?

gulaghasi [49]

Answer:

There is some mistake in the question, because the solutions are x = -1.445 and x = -34.555

Step-by-step explanation:

Given the functions:

f(x) = x² + 4x + 10

g(x) = -32x - 40

we want to find the points at which f(x) = g(x).

x² + 4x + 10 = -32x - 40

x² + 4x + 10 + 32x + 40 = 0

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Using quadratic formula:

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2 years ago

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A customer wants to put in a concrete driveway that is 10" thick. How much concrete would it take to pour a driveway that measur

stellarik [79]

Answer: 22.59 yd^3

Step-by-step explanation:

First the volume of a cuboid whose measurements are:

L = length, W = width and T = thiknes is:

V = L*W*T.

We want to calculate the volume of a shape that is:

10'' thick, 18' wide and 42' long.

This notation is:

(') = feet

('') = inches

The first step is to write our 3 numbers in the same units, then we can use that:

1 inch = 0.083 ft.

Then 10 inches are equal to:

10'' = 10*(0.083 ft) = 0.83 ft = 0.83'

Then the volume of concrete needed will be:

V = 0.83ft*18ft*42ft = 627.48 ft^3

But we want this expressed in yd^3

1ft = 0.33 yd

then

1ft^3 = (0.33 yd)^3 = 0.036 yd^3

then 627.48 ft^3 can be written as:

627.48 ft^3 = 627.48*( 0.036 yd^3) = 22.59 yd^3

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3 years ago