Answer:
x = 10
Step-by-step explanation:
Answer:
y=-100x+700
Step-by-step explanation:
Slope=Rise/Run=Δy/Δx=(y₂-y1)/(x₂-x₁)=(200-600)/(5-1)=(-400)/(4)=-100
So your slope would be m=-100
To find b, the y-intercept, we plug in a given output of y for a given input of x and solve for b:
y=mx+b (Slope-intercept form)
y=-100x+b (Equation so far)
200=-100(5)+b [Plugging in (5,200)]
200=-500+b
700=b
So since the y-intercept is b=700, then the equation of the line is y=-100x+700
<span>To do this you need to multiple 1,024 by 1,000,000 to get 1,024,000,000 and then convert it to scientific notation. For that you need to know how many places there are after the first number. In this case it is 9. This will be 1.024 x 10^9. You have to remember that it is to the power of however many numbers are after the first. So even though we show 3 digits after the . we still have to include those in the power.</span>
Ok. 50 soda bottles are made in 2 minutes. We need to know how many could be made in 1. Dividing 2 by 2 gives us one minute. So if we divide 50 by 2, keeping the ratio the same, gives us 25. Thus, 25 bottles can be made in 1 minute. Hope that helps!!!
Answer: <em>m = 7</em>
Step-by-step explanation: In this equation, since a -5 is being multiplied by <em>m</em>, in order to get <em>m</em> by itself, we must divide both sides of the equation by -5.
On the left side, our -5's cancel out and we are left with <em>m</em>. On the right side, -35 ÷ -5 gives us 7. So m = 7.
To check our answer, we plug 7 back in for <em>m</em> in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.
Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.
