Answer:
C. 10z(x - 2y)
Step-by-step explanation:
10xz − 20y
Factor the terms
Factors of 10xz = 2 × 5 × x × z
Factors of -20yz = (-1) × 2 × 2 × 5 × y × z
Identify their greatest common factor
The common factors are 2, 5, and z. The greatest common factor is 10z.
Rewrite them with the GCF as a factor
10xz = 10z × x
-20yz = 10z × (-2y)
Replace the terms in the original expression with the factored terms
10xz − 20yz = 10z(x) + 10z(-2y)
Use the distributive property to isolate the greatest common factor
10z(x) + 10z(-2y) = 10z(x - 2y)
Answer:
<em>Michael drove faster than Jordan.</em>
Step-by-step explanation:
<u>Speed</u>
The speed is the ratio between the distance d traveled by an object and the time t it took to move. In terms of a mathematical equation, it's expressed as:
Michael drove 210 miles in 3 and one-half hours. The parameters to calculate the speed are: d= 210 miles, t = 3.5 hours. The speed of Michael is:
Jordan drove 330 miles in 6 hours, thus his speed is:
It's clear that Michael drove faster than Jordan.
Answer:
4²¹/5⁶ or 4398046511104/15625
Step-by-step explanation:
Remember, when raising a term with an exponent to some power, you must multiply the powers.
Answer:
Step-by-step explanation:
Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)
