Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
Since the line is parallel, the same coefficients can be used for x and y. The constant on the right needs to change so that the given point will satisfy the equation.
... 5x - 4y = 5(-8) -4(2) = -40 -8 = -48
Your equation is
... 5x -4y = -48
The linear relationship in the form y = y = 3n + 72
What is linear relationship?
In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.
<h3>According to the given information :</h3>
Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.
Equation 1 using data 1:
y = mn + b
Equation 1 using data 1:
30 = 34m + b
Equation 2 using data 2:
33 = 33m + b
Subtract equation 1 from equation 2:
33 - 30 = 34m + b - 33m - b
3 = m
m = 3
Rearrange equation 1 to solve for b:
b = 34(3) - 30
b = 102 - 30
b = 72
Therefore the equation becomes:
y = 3n + 72
The linear relationship in the form y = y = 3n + 72
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Answer:
Answer is B
Step-by-step explanation:
3,550 x 0.0352 = 124.96 ounces
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