First of all to transfer <span>(2x - 1)(x + 6) = 0 into a form where we can plug it into the quadratic formula we need to use the FOIL method.
</span><span>(2x - 1)(x + 6) = 0
</span> becomes
2x*x+2x*6+-1*x+-1*6
which simplifies to
2x^2 + 12x - x - 6
and then we add like terms to get
2x^2 + 11x - <span>6
</span>
now that it is in the correct form we can identify "a" "b" and "c" by following this form
ax^2 + bx + c
looking back at the equation we got earlier
2x^2 + 11x - <span>6</span>
a=2,b=11,and c=-6
The missing angle is 32°.
Answer:
1.
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
2.
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
Step-by-step explanation:
1.
x y
2 12
4 16
8 24
10 28
from 12 to 16 you add 4
from 2 to 4 you add 2
y/x = 4/2 = 2
The slope is 2
The y-intercept is -10
equation: y = 2x - 10
I got the y-intercept because I went from 12 to 0 which is -12, and then 2 - 12 and it's -10
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2.
x y
5 4
20 10
30 14
35 16
from 4 to 10, u add 6
from 5 to 20 you add 15
y/x = 15/6 = 2.5
Slope: 2.5
y-intercept: 1
Equation: y = 2.4x + 1
I got the y-intercept because I went from 4 to 0 which is -4, and 5 - 4 is 1.
Hope this helped
Answer: option 4 is the correct answer.
Step-by-step explanation:
The graphs shown in the photo are plots of distance versus time.
Distance travelled = speed × time
On a run, Natasha ran for 1 1/4 hours at a speed of 6 miles per hour. The distance that she covered would be
6 × 1.25 = 7.5 miles
She then rested for 1/4 hour. This means that her speed is 0 and the distance covered is also 0 miles.
She then ran for another hour at a speed of 5 miles per hour. Distance covered would be
5 × 1 = 5 miles
Total time spent would be
1.25 + 0.25 + 1 = 2.5 hours
Total distance covered would be
7.5 + 5 = 12.5 miles
Therefore, the 4th graph best represents the distance she traveled
