Given,
9(x+1) = 25 + x
expanding,
9x + 1 = 25 + x
bringing x to left hand side and taking 1 to right hand side with change in their respective signs,
9x - x = 25-1
=> 8x = 24
transposing 8 ,
=> x = 24/8 = 3
Hence x = 3
Answer:
y = (2/3)x + 1/3
Step-by-step explanation:
Check that a single straight line will actually go through all four of these points. Going from (1, 1) to (4, 3), the 'rise' is 2 and the 'run' is 3, which would make the slope, m, equal rise/run = 2/3. Going from (4,3) to (10, 7), m = rise/run = 4/6 = 2/3 (again).
Let's find the slope-intercept form of the equation of this line: y = mx + b
Arbitrarily choose the point (1, 1). Here x = 1, y = 1 and m = 2/3. Then
we have
1 = (2/3)(1) + b, or 1 = 2/3 + b, so that b must be 1/3.
The equation in question is y = (2/3)x + 1/3
Answer:
(x + 1) (x^2 + 5)
Step-by-step explanation:
Simplify the following:
x^3 + x^2 + 5 x + 5
Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):
x^2 (x + 1) + 5 (x + 1)
Factor x + 1 from x^2 (x + 1) + 5 (x + 1):
Answer: (x + 1) (x^2 + 5)
Answer:
x = 0.59 to the nearest hundredth
Step-by-step explanation:
Look at the attached figure
- The equation is 2x + = 3
- The red curve represents the left side of the equation
- The blue line represents the right side of the equation
- The solution of the equation is the point of intersection of the two graphs
∵ There are 5 small squares between every 2 numbers on the x-axis
∴ Each square represents 0.2
∵ There are 5 small squares between every 2 numbers on the y-axis
∴ Each square represents 0.2
∵ The point of intersection between the 2 graphs is nearest to
the 3rd small square after the zero on the x-axis
∵ 0.2 × 3 = 0.6
∴ The x-coordinate of the point is approximately located at 0.59
∴ x = 0.59 to the nearest hundredth
C
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Hope this helps you