Answer:
see explanation
Step-by-step explanation:
(1)
Given
g(r) = (r + 14)² - 49
To obtain the zeros, let g(r) = 0 , that is
(r + 14)² - 49 = 0 ( add 49 to both sides )
(r + 14)² = 49 ( take the square root of both sides )
r + 14 = ±
= ± 7 ( subtract 14 from both sides )
r = - 14 ± 7, then
r = - 14 - 7 = - 21 ← smaller r
r = - 14 + 7 = - 7 ← larger r
(2)
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
g(r) = (r + 14)² - 49 ← is in vertex form
with vertex = (- 14, - 49 )
Answer:
y=500x+3000
the Y intercept is 3,000
Step-by-step explanation:
In this equation y represents the total gallons of water in the pool the 500 represents the water that goes into the pool in an hour. X represents the number of hours and 3000 represents the water that was already in there.
Answer: The correct option is (A). angle 1.
Step-by-step explanation: In the given diagram, the measure of ∠3 is 105°.
We are to find the angle that must also measure 120°.
We know that the measures of two vertically opposite angles are equal.
In the given diagram, since ∠1 and ∠3 are vertically opposite angles.
So, the measures of ∠1 and ∠3 are equal.
That is,
m∠1 = m∠3.
Also, m∠3 = 105°.
Therefore, m∠1 = 105°.
Thus, the measure of angle 1 must be 105°.
Option (A) is correct.
Answer: 22 to 55 to 44
Step-by-step explanation: Start with the factors you know. It can't be two because 2 doesn't go into 275 evenly. It can't be three because all of them evenly don't go into three. It can't be four because 110 and 275 don't go into it evenly. But five works. 110/ 5 is 22, 275/ 5 is 55, and 220/ 5 is 44.
Answer:
Around 0.22
<u>FIRST THOUGH, I FEEL LIKE 90 MIGHT HAVE MEANT TO BEEN 0.9, SO IF SO SUBSTITUTE THE 90 BELOW FOR 0.9!</u>
<u></u>
Step-by-step explanation:
Okay, so first.
Company A will be 50 a day plus 0.4 a mile
Company B will be 30 a day plus 90 per mile
We can write an equation like this:
50 + 0.4m = 30 + 90m
m = miles they are the same
Then we solve for m.
50 + 0.4m = 30 + 90m
- 0.4m - 0.4m
50 = 30 + 89.6m
- 30 - 30
20 = 89.6m
Divide both sides by 89.6
Around 0.22!