Answer:
x=2 and x=-10 are the solutions that you should get by using the quadratic formula.
<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:
a) 12 (Simply divide 4800/5 to get 960. Then divide 960/80 to get 12)
b) 2100 (Simply multiply 12 by 25 by 7)
Hope it helps <3
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Step-by-step explanation:
The equation of a line is y = m x + b, where
- m is the slope of the line, , where and are 2 points lie on the line
- b is the y-intercept, to get it substitute x and y in the equation by the coordinates of one of the 2 given points
∵ The line contains the points (4.6 , -8) and (6.6 , 2.2)
∴ = 4.6 and = 6.6
∴ = -8 and = 2.2
∵
- Substitute the values above in the rule of m
∴
∴ The slope of the line is 5.1
∵ The equation of a line is y = m x + b
Substitute m by 5.1
∴ y = 5.1 x + b
To find b substitute x and y by the coordinates of point (4.6 , -8) OR point (6.6 , 2.2)
∵ x = 6.6 and y = 2.2
∴ 2.2 = 5.1(6.6) + b
∴ 2.2 = 33.66 + b
- Subtract 33.66 from both sides
∴ -31.46 = b
∴ y = 5.1 x + (-31.46)
∴ y = 5.1 x - 31.46
The equation of the line containing the given pair of points (4.6 , -8) and (6.6 , 2.2) is y = 5.1 x - 31.46
Learn more:
You can learn more about the linear equation in brainly.com/question/1284310
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