Hello : let A(2,55) B(4,91)<span>
the slope is : (YB - YA)/(XB -XA)
(91-55)/(4-2) = 36/2 =18
an equation is : y-55 = 18(x-2)</span>
<span> y-intercept when : x = 0 : y - 55 = 18(0-2)
y-55 = -36
y = 55-36 = 19</span>
Answer:
1st graph is Y=1x+0
2nd Graph is Y=-2/1x + 0
Step-by-step explanation:
Your slope is 1 for the 1st graph
Your slope is -2/1 for the second graph
Answer: x=−5.029655,−0.991746,9.021401
Step-by-step explanation:
I’m not sure if the 15 is the question number but if it is the answer is 32. use PEMDAS
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
