All categories

2 years ago

Select the correct answer. Which graph represents the solution to this inequality? A. B. C .

Mathematics

1 answer:

Kisachek [45]2 years ago

5 0

Answer: C

Step-by-step-explanation: Given

- (12x + 8) ≤ - 2x + 11 ← distribute parenthesis on left side

- 3x - 2 ≤ - 2x + 11 ( add 3x to both sides )

- 2 ≤ x + 11 ( subtract 11 from both sides )

- 13 ≤ x , thus

x ≥ - 13

Since x can equal - 13 then a solid circle at - 13 represents the solution

Since x greater than - 13 then the arrow is facing to the right of - 13 on the number line.

Then the graph representing the solution is C

You might be interested in

What is the vertex of the function?

egoroff_w [7]

<h2>Explanation:</h2><h2></h2>

Here you haven't provided any function, so I'll assume this one:

$f(x)=3x^2-18x+33$

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

$V(x,y) \\ \\ \\ x=-\frac{b}{2a} \\ \\ y=f(-\frac{b}{2a}) \\ \\ \\ where: \\ \\ \\ f(x)=ax^2+bx+c \\ \\ \\ So: \\ \\ a=3 \\ \\ b=-18 \\ \\ c=33$

Therefore:

$x=-\frac{(-18)}{2(3)}=3 \\ \\ f(3)=3(3)^2-18(3)+33=27-54+33=6$

Therefore, the vertex is:

$\boxed{V(3,6)}$

6 0

3 years ago

Draw the line of reflection that reflects AABC onto AA'B'C'. please help!!

GREYUIT [131]

Answer: <em>Line of reflection is y = 2 x + 2</em>

Step-by-step explanation: <em> I Hope this helps</em>

4 0

2 years ago

Find the measure of angle y. Round your answer to the nearest hundredth. Right triangle

e-lub [12.9K]

<h3>The measure of angle y is 35.68 degrees</h3>

<em><u>Solution:</u></em>

Given that,

hypotenuse 12

Opposite 7

Find the measure of angle y

y is unknown and is between the hypotenuse and adjacent side

The figure is attached below

In a right triangle, the sine of the angle is the ratio of the side opposite to the angle to the hypotenuse

Therefore,

$sin\ y = \frac{opposite}{hypotenuse}\\\\sin\ y = \frac{7}{12}\\\\sin\ y = 0.5833\\\\y = sin^{-1}\ 0.5833\\\\Use\ arcsin\ calculator\\\\y = 35.6829 \\\\y \approx 35.68$

Thus measure of angle y is 35.68 degrees

7 0

2 years ago

Georges age increased by 15 is 7 less than 3 times age how old is george

Kamila [148]

X+15 = 3x - 7 => 22 = 2x => x=11

8 0

2 years ago

12) Why doesn't SSA prove two triangles are congruent? *

Svet_ta [14]

Ans: Four shortcuts allow students to know two triangles must be congruent: SSS, SAS, ASA, and AAS. Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. The same is true for side angle side, angle side angle and angle angle side.

7 0

2 years ago