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5 months ago

Which inequality represents all the values of x for y<(or equal to)-6(x-18)-2 when y=46

Mathematics

1 answer:

bearhunter [10]5 months ago

8 0

The value of x is x ≤ 9 for which y ≤ -5(x - 18) - 2 when y = 43.

<h3>What are inequalities and their types?</h3>

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The given inequality is y ≤ -5(x - 18) - 2.

Now the values of x when y = 43 is,

43 ≤ - 5(x - 18) - 2.

43 ≤ - 5x + 90 - 2.

43 - 88 ≤ - 5x.

- 45 ≤ - 5x.

5x ≤ 45.

x ≤ 9.

learn more about inequalities here :

brainly.com/question/11612965

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Use the function table to determine the slope.EXPLAIN YOUR THINKING AND HOW YOU GOT YOUR ANSWER.I WILL MARK YOU BRAINLIST!

Tom [10]

Answer:

3¼

Step-by-step explanation:

$formula \frac{{y}^{2} - {y}^{1} }{ {x}^{2} - {x}^{1} }$

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).

x¹ = -3

y¹ = 1

x² = 1

y² = 14

Now, we sub these figures into the formula.

$\frac{14 - 1}{1 - ( - 3)}$

This leaves us with 14-1/1+3, which we can make into 13/4

13/4 = 3¼

Disclaimer: It is not actually x (or y) in the power of two, but a way to distinguish one x (or y) from the other. It is a label of sorts.

3 0

2 years ago

Read 2 more answers

Please can someone help me out

lara31 [8.8K]

Answer:

380.1

Step-by-step explanation:

Area = 22/7 × 11 × 11 =380.3

8 0

3 years ago

to angie's ladder was 22 feet tall above the ground lying against the wall of her house.the base of the ladder was 5 feet tall.w

Talja [164]

Answer:

Step-by-step explanation:

Okay, so attached is a diagram of the triangle we are solving. Because buildings are almost always perpendicular (90 degrees) to the ground, it is a right triangle.

You can now use the pythagorean theorem with the sides to fill in the other side:

a^2+ b^2= c^2

5^2 + b^2= 22^2

25+b^2=484

b^2= 459

b=21.42

Okay, so for slope you need 2 points- think of the wall as your y axis, and the ground as your x axis. The ladder is the line.

Your first point is (-5,0) because the bottom of the ladder is touching the ground (no y movement) and the bottom of the ladder is 5 feet from the base of the wall and ground (origin).

The second point is going to be (0, 21.42) because that is the height of the wall where the ladder is touching (x is at origin). The 21.42 is positive, because you can't have negative height.

Okay so far? :)

(-5,0) and (0, 21.42)

(x1, y1) and (x2, y2)

slope= (y2-y1)/(x2-x1)

slope= (21.42-0)/ (0-(-5)) ---- becomes positive

slope= 4.284

(Note: slope could also be negative if you put the ladder on the other side of the wall- 5 would become positive... google "positive vs negative slopes" for more info)

Hopefully that answers your question!