X² - 3x + 27 = 8x - 3 аdd 3 to both sides ⇒
+ 3 + 3
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x² - 3x + 30 = 8x subtract 8x from both sides ⇒<span>
- 8x - 8x
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x</span>² - 11x + 30 = 0 ← <span>standard form
</span>
A. Add 3 to both sides and subtract 8x from both sides.
Answer:
1/16
Step-by-step explanation:
Find the common denominator between 3/4, 1/8, and 1/16. 3/4 and 1/8 denominator can be 16. Then we have to make their denominator the same so multiply 3/4 with 4/4 and multiply 1/8 with 2/2:
3/4 + 1/8 + 1/16 = 12/16 + 2/16 + 1/16 = 15/16
now canola oil is the only thing left to find so that means:
16/16 - 15/16 = 1/16
Answer:
The equation of the line will be:
Step-by-step explanation:
Given the points
Finding the slope




We know that the value of y-intercept can be obtained by setting x=0, and solving for y
Here,
at x = 0, the value of y = 0
Thus,
y-intercept = b = 0
We know the slope-intercept form of the line equation is

where m is the slope and b is the y-intercept
now substituting m = 0 and b = 0 in the slope-intercept form
y = mx+b
y = 0(x) + (0)
y = 0+0
y = 0
Therefore, the equation of line will be:
10. 8x+4y=4. y=mx+b
-8x. -8x
4y=-8x+4
÷4. ÷4. ÷4
y = -2x +1
slope = -2. y-int= 1
11. slope is changing y over changing x
m = (y2 -y1)/(x2-x1) (0,-1) x1 = 0, y1=-1
(-4-(-1))/(-2-0) (-2,-4) x2 = -2, y2 = -4
(-4 + 1) / (-2)
-3/-2 = 3/2 answer is 3/2
12. b because negative cause it flip in x axis and it become flatter because of the fraction.
13. 2y =8-8x
÷2. ÷2 ÷2
y = 4 - 4x
Answer A
14. B