Answer:
first one
Step-by-step explanation:
he adds 5(7) to his collection then 8(4) too and after wards he throws away 2
9514 1404 393
Answer:
90°
Step-by-step explanation:
Any corner angle in a rectangle is 90°. Rotating the figure does not change that. Angle O' = 90°.
_____
<em>Additional comment</em>
No rigid transformation (translation, rotation, reflection) changes any angles. Nor does uniform dilation (the kind we usually study). Hence any rectangle that is translated, rotated, reflected, or dilated will still have all angles measuring 90°.
Answer:
x = -2.5 ± √14.25
Step-by-step explanation:
Add 5x to prepare for "completing the square."
x² +5x = 8
Add the square of half the x-coefficient:
x² +5x + 2.5² = 8 + 2.5²
(x +2.5)² = 14.25
Take the square root.
x +2.5 = ±√14.25
Subtract 2.5.
x = -2.5 ± √14.25 ≈ {-6.27492, 1.27592}
16 games they won in total 28 ÷7 is 4 and they won 4 games in each 7 games so 4 times 4 is 16
Answer:
The club should charge $211 to optimize the revenue.
Step-by-step explanation:
Hi there!
The current revenue of the health club is calculated by multiplying the number of clients by the membership due value.
If y = revenue, then:
y = 1900 · 42
So, if the memberiship dues increase by $1, 5 clients will be lost. Then, if the dues increase by a value of x, then the number of lost clients will be 5x. If such an increase is applied, the revenue will be:
y = (1900 - 5x) (42 + x)
Apply distributive property:
y = 79800 + 1900x - 210x - 5x²
y = -5x² + 1690x + 79800
The function is a negative parabola, then, its maximum will be the vertex of the parabola that can be calculated using the following formula:
x = -b/2a
Where:
b = 1690
a = -5
Then:
x = -1690/(2 · -5)
x = 169
The club should charge 169 + 42 = $211 to optimize the revenue.
