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3 years ago

Explain how to graph an inequality.

1 answer:

6 0

First,you should graph<span> the equals line, then lightly shade in the correct area. 3 steps: Rearrange the equation so "y" is on the left and everything else on the right. or below the line for a "less than" (y< or y≤)</span>

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Passes through (1,12) and has a vertex (10,-4)

agasfer [191]

Answer: 16/81 (x-10)^2 -4

Step-by-step explanation:

To write a vertex equation with just a point and the vertex, you have to figure out the variables.

In vertex form, the equation is y = a (x-h)^2 + k

Your y is 12, x = 1, h = 10, and k = -4

Plug everything into equation

12 = a (1 - 10)^2 -4

12 = a (-9)^2 - 4

12 = 81a - 4

16 = 81a

16/81 = a

Now you know what the 'a' value is.

If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!

I hope this helps!

3 0

3 years ago

A rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water. If 850 cu

makkiz [27]

The new height of the water is = 9.34 inches (approx)

Step-by-step explanation:

Given, a rectangular container measuring 20 inches long by 16 inches wide by 12 inches tall is filled to its brim with water.

Let the new height of water level be x inches.

The volume of the container = (20×16×12) cubic inches

=3840 cubic inches

According to the problem,

3840 - (20×16×x) = 850

⇔3840 -320x = 850

⇔-320x =850-3840

⇔-320 x = -2990

$\Leftrightarrow x =\frac{2990}{320}$

⇔x = 9.34 inches

The new height of the water is = 9.34 inches (approx)

5 0

3 years ago

Which of the following is the solution set of -2|x| < -8

Tema [17]

Answer:

${x| x < -4\:or\: x > 4}$

Step-by-step explanation:

−2|x| < −8 ↷

−2x > 8 −2x < −8

___ __ ___ ___

−2 −2 −2 −2

$-4 > x$ OR $4 < x$

Whenever you multiply\divide by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

3 0

3 years ago

Solve the inequality: (x+3)(x−4)<−12

melamori03 [73]

Answer:

0<x<1

Step-by-step explanation:

(x+3)(x−4)<−12

FOIL

x^2 -4x+3x -12 <-12

x^2 -x -12 <-12

Add 12 to each side

x^2 -x -12+12 <-12+12

x^2 -x <0

Factor out an x

x(x-1) <0

Using the zero product property

x(x-1) =0

x=0 x-1=0

x=0 x=1

Check the ranges

x<0

x(x-1) <0

- * - >0

False

0<x<1

x(x-1) <0

+ * - <0

True

x>1

x(x-1) <0

+ * + >0

False

3 0

3 years ago

What is the slope of the line that passes through the points (-4,-4) and (9,4)

aleksandrvk [35]

Answer:

4-(-4)/9-(-4)

slope=8/13

6 0

3 years ago