Answer: X=9
x^2 −2(x) (9)+9^2 =0
(X-9)^2=0
X-9=0
X=9
Answer:
Step-by-step explanation:
Answer:
<h2>
m = -¹¹/₄</h2>
Step-by-step explanation:
The equation of a line with slope of <em>m</em> and y-intercept of <em>b</em> is: y = mx + b
b = 2 and line contains the point (4, -9), so:
-9 = m×4 + 2 {subtract 2 from both sides}
-11 = 4m {divide booth sides by 4
m = -¹¹/₄
Answer:
a) y-intercept = 17; initial design strength percentage
b) slope = 2.8; increase in that percentage each day
c) 29.6 days to 100% design strength
Step-by-step explanation:
a, b) The equation is in the form called "slope-intercept form."
y = mx + b
where the slope is m, and the y-intercept is b.
Your equation has a slope of 2.8 and a y-intercept of 17.
The y-intercept is the percentage of design strength reached 0 days after the concrete is poured. The strength of the concrete when poured is 17% of its design strength.
The slope is the percentage of design strength added each day after the concrete is poured. The concrete increases its strength by 2.8% of its design strength each day after it is poured.
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c) To find when 100% of design strength is reached, we need to solve for x:
100 = 2.8x +17
83 = 2.8x
83/2.8 = x ≈ 29.6
The concrete will reach 100 percent of its design strength in about 30 days.
