Answer:
do a 3 by 3
Step-by-step explanation:
three across and three up
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
Answer:
p=0.25
Step-by-step explanation:
Given that a club can select one member to attend a conference. All of the club officers want to attend. There are a total of four officers, and their designated positions within the club are President (P), Vice dash President (Upper V )comma Secretary (Upper S )comma nbspand Treasurer (Upper T ).
Sample space would be
a){ {P}, {V}, {S} {T}} is the sample space with notations standing for as given in the question
b) Each sample is equally likely. Hence we have equal chances for selecting any one out of the four.
If probability of selecting a particular sample of size I is p, the by total probability axiom we have
\begin{gathered}4p =1\\p =0.25\end{gathered}
4p=1
P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,
r = 5% = 0.05, nt = 12*3 = 36
Therefore,
D =
= 33.37
Then,
P = 13,500/44.37 = $404.61
The correct answer is c.
8 a.m. to 1 p.m. = 5 hrs
so the temperature changed -3/5 degrees per hr for 5 hrs...
-3/5 * 5 = -15/5 = -3.....so in total, the temperature changed by 3 degrees....it went down 3 degrees
