To factor quadratic equations of the form ax^2+bx+c=y, you must find two values, j and k, which satisfy two conditions.
jk=ac and j+k=b
The you replace the single linear term bx with jx and kx. Finally then you factor the first pair of terms and the second pair of terms. In this problem...
2k^2-5k-18=0
2k^2+4k-9k-18=0
2k(k+2)-9(k+2)=0
(2k-9)(k+2)=0
so k=-2 and 9/2
k=(-2, 4.5)
Answer:
C, the difference is subtraction so 8 times the difference of two numbers is C
The thickness of a brand new US penny that hasn't been
worn down is 1.52 millimeters.
If you have a million pennies, there are many ways to arrange them.
You can pile them all in one pile, or shovel them into many piles, or
stack them up in any number of stacks up to a half-million stacks
with two pennies in each stack, or try somehow to stack them all up
in one stack that's a million thicknesses high.
Any stack with 'n' pennies in the stack is 1.52n millimeters high.
If you somehow succeed in stacking all million of them in one stack,
then the height of that stack would be . . .
(1,000,000) x (1.52 mm) = 1,520,000 millimeters
152,000 centimeters
1,520 meters
1.52 kilometers
(about 59,842.5 inches
4,986.9 feet
1,662.3 yards
7.56 furlongs
0.944 mile
all rounded)
Answer:
Correct option: A. Weight.
Step-by-step explanation:
In regression analysis there are two kinds of variables: Explanatory and Response variable.
The explanatory variable are used to predict the changes in the response variable. They are also known as independent or predictor variable.
The response variable are observed for any changes caused by the explanatory variable. They are also known as the dependent or experimental variable.
In this case it is provided that heavier cars have lower fuel efficiencies.
It implies that there is linear inverse relationship between the variables weight of the car and fuel efficiency.
The response variable is the fuel efficiency and the explanatory variable is the weight of the car. Since the weight of the car is used to determine the fuel efficiency.
Thus, the explanatory variable is the weight of the car.
Answer:
C
Step-by-step explanation:
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