Answer:
Step-by-step explanation:
Given that prices for a pair of shoes lie in the interval
[80,180] dollars.
Delivery fee 20% of price.
i.e. delivery fee will be in the interval [4, 9]
(1/20th of price)
Total cost= price of shoedelivery cost
Hence f(c) = c+c/20 = 21c/20
The domain of this function would be c lying between 80 to 180
So domain =[80,180]
---------------------------------
Amount to be repaid = 42 dollars
Once he received this amount, the price would be
105+42 =147
But since price range is only [21*80/20, 21*180/20]
=[84, 189]
Since now Albert has 147 dollars, he can afford is
[80,147]
Answer:
Pretty sure it is 18 girls
Step-by-step explanation:
81 girls: 72 boys
72 boys /16 boys = 4.5
81 girls / 4.5= 18 girls
so 18 girls:16 boys
pls mark me brainliest :)
Answer:
<u>First find x and y at given parameters:</u>
- x = (v₀cosθ)t = (123 cos60°)t = 61.5t
- y = h + (v₀sinθ)t - 16t² = 0 + (123 sin 60°)t - 16t² = 106.52t - 16t²
<u>Maximum height is at vertex. Time is:</u>
- t = -106.52/-32 = 3.3 seconds
<u>Maximum height is:</u>
- y = 106.52*3.3 - 16(3.3)² = 177.3 ft
<u>Horizontal distance:</u>
<u>Time to hit the ground:</u>
- 106.52t - 16t² = 0
- 16t = 106.52 (t = 0 is discounted)
- t = 106.52/16
- t = 6.7 seconds
Answer:
y = x²/4 + x/2 + 21/4 ⇒ -9 ≤ x ≤ 7
Step-by-step explanation:
∵ x = 2t - 1
∴ 2t = x + 1 ⇒ t = (x + 1)/2
∵ y = t² + 5
∴ y = [(x + 1)/2]² + 5 = (x² + 2x + 1)/4 + 5
y = x²/4 + x/2 + 1/4 + 5 = x²/4 + x/2 + 21/4
∵ -4 ≤ t ≤ 4
∴ -9 ≤ x ≤ 7
Line y = 4/9 x - 2 has a slope of 4/9.
For perpendicular lines, the ploduct of the two slopes is -1. Thus the slope of the required line is -1/(4/9) = -9/4
Equation of a line is given by y - y1 = m(x - x1)
y - 3 = -9/4(x - 4)
y - 3 = -9/4 x + 9
y = -9/4 x + 9 + 3
y = -9/4 x + 12.
