Answer:
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Step-by-step explanation:
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Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (82, - 96) and (x₂, y₂ ) = (87, - 86)
m = 
= 
= 2
X-intercept is -1 implies line passes through (-1,0).
So point slope form is
y - 0 = -2 (x -(-1) )
>> y = -2 (x +1) <----- FINAL ANSWER
Answer:
1.13 food per square feet
Step-by-step explanation:
Given
Dimension: 50ft by 35ft
Servings = 1975
Required
Determine the amount per servings
First, we calculate the area.
Next, we calculate the amount per square foot.
This is:
This gives;
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
