Answer:
32
Step-by-step explanation:
Answer:
y - 5 = -4(x + 3)
Step-by-step explanation:
This question is asking you to use and make an equation using the base of the "point-slope form." This is a common equation used when dealing with coordinates and graphs in math. The point-slope form equation looks like this:
y - y₁ = m(x - x₁).
We are going to need to use this equation base to create our problem from the information given. If you are wondering what those subscripts of 1 mean (the 1 in y₁ and x₁), I will explain. Remember that:
slope (m) = <u>y - y₁</u>
x - x₁
So, our first y value (which is the y-coordinate of 5 in [-3, 5]) can be added into the problem base that I had mentioned above:
y - <u>5</u> = m(x - x₁).
Now, we need to place the first x value (which is the -3 in [-3, 5]) can be added into the base problem once more:
y - 5 = m(x - (<u>-3</u>)).
Because a negative number with a negative symbol in front of it creates a positive, we can change that as well:
y - 5 = m(x + 3).
Fortunately, the question provides a slope ready for use. The question says that the slope is -4, so we can place this into the equation now:
y - 5 = -4(x + 3).
I hope that this helps.
The solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
<h3>How to determine the solution to the
compound inequality?</h3>
The compound inequality is given as:
3x−8≤23 AND −4x+26≥63
Rewrite properly as:
3x − 8 ≤ 23 AND −4x + 26 ≥ 63
Add to both sides of compound inequality ,the constant in the compound inequality expression
So, we have:
3x ≤ 31 AND −4x ≥ 89
Divide both sides of compound inequality, by the coefficient of the variable x in the compound inequality expression
So, we have:
x ≤ 31/3 AND x ≤ -89/4
hence, the solution to the compound inequality given as 3x−8≤23 AND −4x+26≥63 is x ≤ 31/3 AND x ≤ -89/4
Read more about compound inequality at
brainly.com/question/1604153
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Let
x-------------> <span>original price of the skates
we know that
15% of x is </span><span>$19.50
so
0.15x=19.50---------> x=19.50/0.15-----------> x=$130
the answer is
the </span>original price of the skates was $130<span>
</span>
