Hi there!

First we rearrange the sum in order to add both of the fractions first. We can rearrange because the only thing we need to do is adding.

Add the fractions.
** If you don't get this, think of this story: you lack 1/3 of an apple pie and someone gives you 2/3 of pie. How much pie do you have left?
- 1 / 3 + 2 / 3 = 1 / 3 **

Finally add 4 to our found fraction.

Therefore, the answer is 4 1/3.
For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
Answer:
the interest received is $957.03
Step-by-step explanation:
Given that
The invested amount is $10,000
There is 18 months
And, the interest rate is 6.25%
= (($10,000 × (1 + 6.25% ) × 0.0625 × 6 months ÷ 12 months)) + ($10,000 × 6.25%)
= $332.03 + $625
= $957.03
Hence, the interest received is $957.03
Answer:
Step-by-step explanation:
Cost (C) depends on the number of miles traveled (x).
So C is the dependent variable.
Or C(x) if they want you to be more specific.
x is your independent variable.
Miles driven do not depend on anything.
For the first one:
The radian of 60º is 1.047. you just have to find one that has the same value, which would be
/3. (the last choice).
for the second one:
you do it the other way. The answer is 45 degrees.