Answer:
A. maximum value at 30
Step-by-step explanation:
−x² + 10x + 5
First, factor out the leading coefficient from the first two terms:
-1 (x² − 10x) + 5
Take half of the next coefficient, square it, then add and subtract the result.
(-10/2)² = 25
-1 (x² − 10x + 25 − 25) + 5
-1 (x² − 10x + 25) + 25 + 5
-1 (x² − 10x + 25) + 30
Factor the perfect square.
-1 (x − 5)² + 30
The equation is now in vertex form. This is a downwards parabola with a vertex at (5, 30). Since the parabola points down, the vertex is a maximum.
Answer:
-3
Step-by-step explanation:
x - 4 = - 7
Carry over the - 4 and make x the subject.
x= - 7 + 4
x= - 3
Therefore x is - 3
A. $74.55
because if their are 4 pairs you would do 35x4=140 the half of 140 would be 70. Then they would have to pay tax witch is 6.5% of 70 and that is 4.55 so paying for the shoes and including tax would be 74.55
One would have to know how many miles the trucker travels in a year. It appears as if that data is not provided. Once that total mileage per year is known, then divide that value by 10,000 to yield the number of oil changes in a year's time.
Answer:
(x + 3)² + (y - 1)² = 80
Step-by-step explanation:
Circle equation: (x - h)² + (y - k)² = r²
We are given <em>h</em> and <em>k</em>, so we just plug that in:
(x + 3)² + (y - 1)² = r²
To find <em>r</em>, we need to use distance formula: 
between the center of the circle and the point on the circle. We should get √80 as <em>r</em>. We plug that in to get our answer:
(x + 3)² + (y - 1)² = 80
