f(-2) means the x value is -2 and you need to find the y value at that point.
At x = -2 the line crosses the y axis at y = 2
f(-2) = 2
<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
Answer:
neither
Step-by-step explanation:
First, arrange the equations to fit the y=mx + b format
1. 2x - 3y = 8
y = -2/3x - 8/3
2. -x + 4y = 2
y = 1/4x + 1/2
Equations that are parallel have the same slope.
In perpendicular equations, one slope would be x and the other would be -1/x (negative reciprocal)
The equations are neither parallel nor perpendicular, so neither.
Answer:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Step-by-step explanation:
Let X the random variable of interest "the bid offered" and we know that the distribution for this random variable is given by:
If your offer is accepted is because your bid is higher than the others. And we want to find the following probability:
And for this case we can use the cumulative distribution function given by:
And using this formula we have this:
Then we can conclude that the probability that your bid will be accepted would be 0.41
Answer:
No.
Step-by-step explanation:
25x + 20y = 5x(5 + 4y)
Distribute the 5x inside the (5 + 4y).
5x * 5 = 25x
5x * 4y = 20xy
25x + 20y ≠ 25 + 20xy, so the two expressions below are not equal.
