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ludmilkaskok [199]

2 years ago

10

50 PONTIS Score for Question 3: ___ of 5 points) 3. Solve the given inequality and graph the solution on a number line. Show you

r work! -2x + 3 < 5

2 answers:

nadya68 [22]2 years ago

5 0

Answer:

If x equals -1 or anything less than -1, then the inequality statement is false

Step-by-step explanation:

So to find the number x has to be for the statement to be false, we have to find what number x would be to make it so both sides equal the same thing. So in this case, it would be -1 because 5-3 equals 2 and -2x=2 only if x=-1. So anything greater than -1 would make the statement true.

I hope this helped.

joja [24]2 years ago

3 0

Answer:

x > - 1 or x = (-1, + oo)

Step-by-step explanation:

<h3>Given </h3>

<u>Inequality </u>

-2x + 3 < 5

<h3>To find</h3>

Solve and graph

<h3>Solution</h3>

-2x + 3 < 5
-2x < 5 - 3
-2x < 2
x > - 1
x = (-1, + oo)

As per above, the graph covers all numbers to the right from the point -1

<em>The graph is attached</em>

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Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?

prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

$A=\pi r^2$

r is radius of circle

$r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}$

The circumference of circular shaped object is given by :

$C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}$

So, the circumference of the cookie is 37.68 inches.

7 0

2 years ago

Y=10x+2<br> y=8x+2x+2<br> How many solutions

Luba_88 [7]

Simplify y=8x+2x+2: y=10x+2
Same as equation y=10x+2
Therefore it has infinitely many solutions

4 0

2 years ago

Complete the steps to find the value of x

vampirchik [111]

72, 96, 84, 12

72 + (7x+24) = 180
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3 0

2 years ago

Find the distance of the point (3,4) from the midpoint of the line joining (8,10) and (4,6)

Elis [28]

Answer:

Distance between point $(3,4)$ and midpoint of line joining $(8,10)$ and $(4,6)$ = $5$ units.

Step-by-step explanation:

Given:

Points:

$A(3,4)\\B(8,10)\\C(4,6)$

To find distance from point A to midpoint of BC.

Midpoint M of BC:

$M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\$

$M=(\frac{8+4}{2},\frac{10+6}{2})\\$ [Plugging in points $B(8,10)\ and\ C(4,6)$ ]

$M=(\frac{12}{2},\frac{16}{2})\\$

$M=(6,8)\\$

Distance between A and M:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\$

$D=\sqrt{(6-3)^2+(8-4)^2} \\$ [Plugging in points $A(3,4)\ and\ M(6,8)$ ]

$D=\sqrt{(3)^2+(4)^2} \\$

$D=\sqrt{9+16} \\$

$D=\sqrt{25} \\$

$D=\pm5$

Since distance is always positive ∴ $D= 5$ units

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2 years ago

Find the volume of the composite solid. 12 m I 8 m 4 m 4 m

umka2103 [35]

Answer:

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Step-by-step explanation:

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(might be wrong)

7 0

2 years ago