All categories

2 years ago

Which graph represents the solution set of this inequality? 11g-5< 49 Choose 1 answer:

Mathematics

1 answer:

N76 [4]2 years ago

4 0

Answer:

Answer choice A is the correct answer

Step-by-step explanation:

** Before you start: If anything that is < or > you shouldn't fill in the plot.

If it has ≤ or ≥then you need to fill in the plot.**

Terminology:

(>) : Greater than (Don't fill in)

(<): Less than (Don't fill in)

(≤) : Less than or equal to (Fill in)

(≥) : Greater than or equal to (Fill in)

In this case, the answer choices C and D are wrong automatically.

Your Inequality:

11g + 5 ≤ 49

Subtract 5 both sides

11g ≤ 49-5

11g ≤ 44

Divide 44 by 11

g ≤ 4

Find an answer choice that has a number greater than 4 but has a filled-in circle/plot.

Answer choice A is the correct answer

You might be interested in

PLEASE ANSWER!!!! 60 POINTS!!!!!

SpyIntel [72]

2. Distributive Property

4 is distributed and multiplied inside the parenthesis to x and -5.

4. Subtraction Property of Equality

x is subtracted from both sides of the equation.

4x - x - 22 = x - x + 3

3x - 22 = 3

5. Subtraction Property of Equality

22 is added to both sides of the equation.

3x - 22 + 22 = 3 + 22

3x = 25

6. Division Property of Equality

3 is divided from both sides of the equation.

$\frac{3x}{3}$ = $\frac{25}{3}$

x = $\frac{25}{3}$

7 0

3 years ago

Read 2 more answers

Suppose that y varies inversely with x, and y=4 when x=7. What is an equation for the inverse variation

balu736 [363]

Answer:

xy = 28

Step-by-step explanation:

The formula for inverse variation is

xy =k

If y = 4 and x = 7

4*7 = k

28 = k

The equation is xy = 28

8 0

3 years ago

Which expression is equivalent to...? Screenshots attached, please help.

BaLLatris [955]

For this case we must simplify the following expression:

$\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}$

We rewrite:

$64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3$

So:

$\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}$

Answer:

Option B

3 0

3 years ago

Factor this trinomial.<br> x2 + 2x-3

andre [41]

Answer:(x-1) (x+3)

Step-by-step explanation:

Hope this helps!

4 0

3 years ago

Triangle ABC has vertices at A(1,2) B(4,6) and C(4,6) in the coordinate plane. The triangle will be reflected over the x-axis an

k0ka [10]

You should know that you can predict changes in coordinates after translations without a graph or anything like that.

(x, y) reflected over the x axis = (x, -y)
(x, y) reflected over the y axis = (-x, y)
(x, y) rotated 90 degrees around the origin = (y, -x)
(x, y) rotated 180 degrees around the origin = (-x, -y)
(x, y) rotated 270 degrees around the origin - (-x, y)

So here's our set of points.
A(1, 2), B(4, 6), C(4, 6)

Here's those points reflected over the x axis.
A'(1, -2), B'(4, -6), C'(4, -6)

And here's <em>those</em> points rotated 180° around the origin.
A''(2, -1), B''(6, -4), C''(6, -4)

I think you made a mistake writing down the question, though, because B and C are the same yet you say ABC forms a triangle. You should be able to go through this process with whatever the coordinate was supposed to be.

4 0

3 years ago