Answer: 6 x 10^12
Step-by-step explanation:
Move the decimal to the left so there is one non-zero digit number left of the decimal point. This will be the exponent placed on 10
Answer:
D
Step-by-step explanation:
The sum of a number and twenty-three less than that number" as a mathematical expression is x + (x – 23)
I mean its the only answer with sum and "less than" because that usually means you need to subtract, I hope this helps
Answer:
Graph A
Step-by-step explanation
The problem: y=2x^2+8x+3
1) You will need to determine the direction of the parabola, If a > 0 then the parabola opens upward, if a < 0 then the parabola opens downward.
2) If when doing this you get an imaginary solution, you would have no x intercepts. The first thing you need to do is find the x intercepts, you can do this by plugging in 0 for y, so this would give you 0=2x^2+8x+3. Once you have this you start by subtracting 3 from both sides, dividing 8 from both side, etc. (If you would like me to elaborate don't hesitate to ask!)
3) To find the graphs y intercept you plug in 0 for x, which gives you y=2(0)^2+8(0)+3, you do the same thing you did during the previous step for y. (Once again, I am willing to elaborate further if you need!)
4) You then need to find the vertex (h,k)
To find h: h= -b/2a
To find k: k = a(h)2 + b(h) + c
5) Once you've worked through this you can graph the point!
Hope this helped!
<em>x</em> kg of Maxwell House coffee contains 0.13<em>x</em> kg of Columbian beans.
<em>y</em> kg of Folgers contains 0.21<em>y</em> kg of beans.
You want a mixture weighing 70 kg, so
<em>x</em> + <em>y</em> = 70
You also want this blend to consist of 19% Columbian beans, or 0.19 (70 kg) = 13.3 kg, so
0.13<em>x</em> + 0.21<em>y</em> = 13.3
Solve for <em>x</em> and <em>y</em> :
<em>x</em> + <em>y</em> = 70 ===> <em>y</em> = 70 - <em>x</em>
0.13<em>x</em> + 0.21<em>y</em> = 13.3 ===> 0.13<em>x</em> + 0.21 (70 - <em>x</em>) = 13.3
0.13<em>x</em> + 14.7 - 0.21<em>x</em> = 13.3
14.7 - 13.3 = 0.21<em>x</em> - 0.13<em>x</em>
1.4 = 0.08<em>x</em>
<em>x</em> = 17.5
<em>y</em> = 52.5
Answer:
33/100
Step-by-step explanation:
33/100 bc percentage goes up to 100
