400,000
because if you do 10 with the exponent of 5 you'll get 100,000 multiply by 4 = 400,00
1000x2 = 2000
You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation
(4y - 7) + y = 93; combine like terms
5y - 7 = 93; add 7 to both sides
5y = 100; divide both sides by 5
y = 20; substitute this value into the other equation
x + 20 = 93
x = 73
So the numbers are 20 and 73
Answer: Q=1/2p+15,= p=2q-30= Slope = 1.000/2.000 = 0.500
p-intercept = -30/1 = -30.00000
q-intercept = 30/2 = 15
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p-(2*q-30)=0
Solve p-2q+30 = 0
we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line p-2q+30 = 0 and calculate its properties
Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000
q-intercept = 30/2 = 15
When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000
p-intercept = -30/1 = -30.00000
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.000/2.000 = 0.500
Answer:
11. ![x^{-2}](https://tex.z-dn.net/?f=x%5E%7B-2%7D)
12. ![m^{-3}](https://tex.z-dn.net/?f=m%5E%7B-3%7D)
13. ![(x+2y)^{-4}](https://tex.z-dn.net/?f=%28x%2B2y%29%5E%7B-4%7D)
14. ![(x+3y)^{-2}](https://tex.z-dn.net/?f=%28x%2B3y%29%5E%7B-2%7D)
15. ![(x+y)^{-3}](https://tex.z-dn.net/?f=%28x%2By%29%5E%7B-3%7D)
16. ![(2x+3y)^{-6}](https://tex.z-dn.net/?f=%282x%2B3y%29%5E%7B-6%7D)
17. ![(-3m-9)^{-3}](https://tex.z-dn.net/?f=%28-3m-9%29%5E%7B-3%7D)
18. ![x^{-4}](https://tex.z-dn.net/?f=x%5E%7B-4%7D)
Step-by-step explanation:
In all of them you just subtract the bottom exponent from the top exponent.