Y=Mx+b
Rise / run between any two points = slope (m)
Where the line crosses the y axis is (yint) (b)
Slope is -1/2
Yint = -8
So the equation is y=(-1/2)x - 8
X = -b/2a
x = -8/4
x = -2
Plug -2 in for x and solve for y
y = 2(-2)^2 + 8(-2) -3
y = 8 -16 -3
y = -11
Vertex (-2, -11)
<u>Answer:</u>
The right graph is the first one (figure attached).
Note that in a Speed vs Time graph, the constant speed is represented by a line with slope=0 <u>(for example, segment 1)</u>, when the speed increases the slope is positive <u>(for example, segment 2)</u> and when the speed decreases the slope is negative <u>(for example, segment 4).</u>
Now, if we want to prove this, let’s read again the problem, <u>dividing each section of the path Marc drove to his work</u> (see figure attached):
1. He slowly pulls out of his driveway at a <u>constant speed
</u>
2. and then his <u>speed increases</u> steadily
3. until he reaches the speed limit. He uses cruise control to drive the speed limit <u>(he drives at constant speed)</u>
4. until he comes upon some traffic
(usually if you find some traffic you have to <u>derease your spped</u>)
5. He then slows down to a new <u>constant speed</u>.
6. When he gets near his office, his <u>speed steadily decreases</u> until he comes to a stop right in front of his office building <u>(at this point the speed is zero)</u>
Answer:
0.75 gallons
Step-by-step explanation:
As the statement indicates that Latrell wants the bedroom ceiling to be 85% blue and 15% white and you know that he needs 4.25 gallons of blue which represents the 85%, you can use a rule of three to find the amount that represents the 15% to know the gallons of white that he needs:
4.25 gallons → 85%
x ← 15%
x= (4.25*15)/85
x=0.75
According to this, the answer is that if Latrell needs 4.25 gallons of blue, he needs 0.75 gallons of white.
Answer:
6w + 2a = 28
Step-by-step explanation:
the expression given, 6w + 2a, contains no variable h, so it's best to just ignore that h = 5.
first, plug in the values for w and a. you can do this in whatever order you want, but i'll start with w for this example.
plug in 4 for w.
6w + 2a
6(4) + 2a
now plug in 2 for a.
6(4) + 2a
6(4) + 2(2)
after plugging in the values, your expression is 6(4) + 2(2).
all that's left is to simplify. again, this can be done in whatever order you prefer, but i'm going to start with 6(4).
6(4) + 2(2)
24 + 2(2)
continue simplifying by multiplying 2(2).
24 + 2(2)
24 + 4
now add 24 + 4.
24 + 4 = 28
so, when w = 4 and a = 2, 6w + 2a = 28.
you can check the answer by plugging those values for a and w back into the completed equation.
6w + 2a = 28
6(4) + 2(2) = 28
24 + 4 = 28
28 = 28
since both sides of the equation are equal, that means that your answer of 28 is correct! :)
i hope this helps! have a great day <3
