Answer:
The slope is m= 4 and the y intercept is b= 9
Step-by-step explanation:
The slope is found by using change in y over change in x, or rise over run. From the table, this means, how much does y change for every time x goes up. As you can see, every time x increases by one, y increases by 4. So that´s your slope. The y intercept is when the line crosses the y axis, where x=0. Because you already know the slope, and that when x is one, y is 13, all you have to do is to know that going backwards by one for x means going backwards by 4 for y, and 13-4 is 9.
Answer:
208 ounces in 13 pounds
Step-by-step explanation:
Answer:
,
Step-by-step explanation:
For the value of y-intercepts, y = 0, because at x-axis y is 0.
We know for Ax^2 + Bx + C = 0
x = ,
X= 41
-(12)/(1+5x)=-(3)/(x-10)
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
−12⋅(x−10)=(1+5x)•-3
-12⋅(x-10)=(1+5x)•-3
Solve the equation for x.
Simplify -12• (x-10)
-12x-12•-10=(1+5x) •-3
Multiply
-12 by -10
-12x+120=(1•5x)•-3
Simplify (1+5x)•-3
Apply the distributive property.
− 12x + 120 = 1• -3 + 5x •-3
Multiply
-12x+120=1⋅-3+5x⋅-3
Multiply -3 by 1
-12x+ 120=-3+5x•-3
Multiply -3 by 5
-12x +120=-3-15x
Move all terms containing x
to the left side of the equation.
Add 15x to both sides
-12x+120+15x=-3
Add
3x+120=-3
Move all terms not containing x
to the right side of the equation.
Subtract 120 from -3
3x=-123
Divide each term by 3 and simplify
Divide each term in 3x = -123 by 3.
3x / 3 = -123 / 3
Cancel the common factor of 3.
-123/3 divid by 1
X = -123/3
Divid -123/3 = 41
So X= 41
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