Answer:14
Step-by-step explanation:
2/5p+6-3-2p+4/5p
-2p+6/5p+6-3+4
-10/5p+6/5p+3+4
-4/5p+7
-0.8p+7
Translating this word problem into an algebraic equation, we get:
3x - 2/5 = 8/5.
Let's combine the constants: adding 2/5 to both sides of this equation yields
3x = 10/5, or 3x = 2.
Solving for x: x = 2/3
Answer:
x = ±6
Step-by-step explanation:
Step 1: Write out equation
x² + 7 = 43
Step 2: Subtract 7 on both sides
x² = 36
Step 3: Square root both sides
√x² = √36
x = ±6
Answer: option B is correct.
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The line passes through (- 5, - 2) and (3, - 1),
y2 = - 1
y1 = - 2
x2 = 3
x1 = - 5
Slope,m = (- 1 - - 2)/(3 - - 5) = 1/8
To determine the intercept, we would substitute x = 3, y = - 1 and
m = 1/8 into y = mx + c. It becomes
- 1 = 1/8 × 3 + c
- 1 = 3/8 + c
c = - 1 - 3/8 = - 11/8
The equation becomes
y = x/8 - 11/8
