Answer: C) 5
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x = independent variable, y = dependent variable
Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.
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An alternative is to use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (25 - 15)/(4 - 2)
m = 10/2 <--- this expression shows up again
m = 5 <---- leading to the same answer as before
So we see that the slope formula is a more drawn out method to finding the answer.
Answer:
(x + 4)(x - 3)
Step-by-step explanation:
x^2 + x - 12 = 0
In order to factorise an equation, one must take into consideration the factors of the values in given equation.
In the factored form, the above equation becomes
(x + 4)(x- 3)
Factors of x^2 = x times x
Factors of -12 = +4 x -3
As shown in the factored form above
Answer:
The family will pay 34722 cents more if they take the van
Step-by-step explanation:
Given
Van = 12 miles per gallon
Sedan = 36 miles per gallon
Distance = 2500 miles
Gas = $2.50 per gallon
First, we need to determine the number of gallons that'll be used by both vehicles
This is done by dividing total distance by number of miles per gallon


Next, is to multiply this by the cost of gas per gallon;
This gives the total spendable amount on both vehicles






Next is to get the difference between these amounts


Multiply by 100 to convert to cents


(Approximated)
Hence;
<em>The family will pay 34722 cents more if they take the van</em>
Answer:
Step-by-step explanation:
y + 6 = -2/3(x + 1)
y + 6= -2/3x - 2/3
y + 18/3 = -2/3x - 2/3
y = -2/3x - 20/3