Answer:
Option C: y=-1/2x + 8
Step-by-step explanation:
So we have the options:
A) y=2x+5
B) y=-1/2x+4
C)y=-1/2x+8
D)y=-2x+5
But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.
So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y
Original equation
2x+4y=16
Subtract 2x from both sides
4y=-2x+16
Divide both sides by 4
y = -1/2x + 4
Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.
Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel
Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel
Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer
If they each kept the same amount of the $50 prize, then we divide $50
by 2 people, giving each of them $25 winnings. Your question is then a
little confusing because it could be answered in two ways. Did they
each keep $20.75 out of their $25 winnings, or did the two of them keep
$20.75 in a combined total? Please read your question again to see
which might be the case. I'm answering on the assumption that they each
kept $20.75.
STEP 1:
divide total prize money by 2
= $50 ÷ 2
= $25 each won
STEP 2:
If they each kept $20.75
= $25 won - $20.75 each kept
= $4.25 each gave away
STEP 3:
multiply amount given away by 2 people
= $4.25 * 2 people
= $8.50 total given away
ANSWER: The total given to Romy is $8.50.
Hope this helps! :)
Answer:
1. A=300miles B=300
2.A=50mph B=40mph
3.A=300miles B=200miles
Step-by-step explanation:
<em><u>1.</u></em>
Simply just read the graph
<em><u>2.</u></em>
do not let line B fool you, car b may look like it was faster, but unlike car a it started at 100 miles rather than 0 miles
<em><u>3.</u></em>
Just like 2, do not be fooled, you have to subtract to find b but a is easily found
I hope this helps u pls give a brainliest and a thx ;)
N= P-180. so the computer would originally be 720 dollars. reduced by 25%, or 180, the new price is 540.
