Answer:
y = -0.07x2 + 3.07x
Step-by-step explanation:
For each plant we add, there is a decrease of 70 grams for all plants from the inicial value of 3 kg of beans.
So, for 2 plants, we have (3 - 0.07) * 2
For 3 plants, we have (3 - 2*0.07) * 3
For x plants, we have (3 - (x-1)*0.07) * x
So we can model the final result of the amount of beans 'y' with the equation:
y = (3 - (x-1)*0.07) * x
y = (3 - 0.07x + 0.07) * x
y = (3.07 - 0.07x) * x
y = -0.07x2 + 3.07x
(In this equation we have a = -0.07, b = 3.07 and c = 0)
Take out common factor, 3 :
3x - 3 = 3(x - 1)
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Answer: 3(x - 1)
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1 yard=3 feet
1 feet=12 inches
10x3=30 feet
30x12=360 inches360 inches divided by 4
The answer is that 90 4 inches pieces can be cut
Answer:
X:1 2 3 4 5 Y:7 11 15 19 23.
Step-by-step explanation:
We just need to put in the values of x into the equation: y = 4x + 3.
<u>x = 1: </u>
y = 4(1) + 3
= 4 + 3
y = 7
<u>x = 2: </u>
y = 4(2) + 3
= 8 + 3
y = 11
<u>x = 3:</u>
y = 4(3) + 3
= 12 + 3
y = 15
<u>x = 4:</u>
y = 4(4) + 3
= 16 + 3
y = 19
<u>x = 5:</u>
y = 4(5) + 3
= 20 + 3
y = 23
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
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We used the identity ...
cot(θ) = cos(θ)/sin(θ)
