Answer:
187 hope this helps!
Step-by-step explanation:
How much does it cost to make 3 widgets?
Answer:
The total cost to make 3 widgets is $64.
Step-by-step explanation:
As cost is give by quadratic function such as
As it costs $29 to produce 2 widgets. So,
As it costs $115 to produce 4 widgets. So,
As it costs $757 to produce 10 widgets. So,
In order to find the values of a, b, c and d, we have to equations [A], [B] and [C]
Subtracting Equation [A] from [B] and [B] from [C]
12a + 2b = 86 ........[D]
84a + 6b = 642 ........[E]
Multiplying Equation [D] by 3 and subtracting from [E]
84a + 6b + 3(12a + 2b) = 642 - 86
48a = 384
a = 8
Putting value of a = 8 in equation [D]
12(8) + 2b = 86
96 + 2b = 86
2b = -10
b = -5
Substituting the value of a = 8 and b = -5 in Equation [A].
29= 4a+2b+d
29 = 4(8) + 2(-5) + d
29 = 32 - 10 + d
d = 29 + 10 - 32
d = 7
The required form of equation can be obtained by substituting a = 8, b = -5 and d = 7 in the cost equation. So,
is the required form of equation.
Therefore, the total cost to make 3 widgets will be:
Putting x = 3 in
Hence, the total cost to make 3 widgets is $64.
Keywords: quadratic equation, cost
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Answer:
75
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is given that the measure of angle JKL can be represented by .
And from the figure we can see that the measure of angle JKL is,
Both the measures must be equal, hence equating both the angles we get,
Solving for 'x' we get,
Putting the value of 'x' we can calculate the measure of angle JKL,
Therefore, the measure of angle JKL is, .
III. x + 2
Answer:
Both
Step-by-step explanation:
First,let's resolve the expression into factors
x^3-x^2-6x
x(x^2-x-6)
x(x^2-3x+2x-6)
x(x(x-3)+2(x-3))
x(×+2)(x-3)
Therefore,both of them are the factors of the expression