Hi there, just multiply all 4 numbers. 5.3*8*8*4=1356.8
The solution to the inequality in interval form is (-∞, -1/4)
<h3>Inequality expressions</h3>
Inequality are expressions not separates by an equal sign. Given the inequality below;
x+1<3/4
Subtract 1 from both sides to have;
x + 1 - 1 < 3/4 - 1
x < 3/4 - 1
x < (3-4)/4
x < -1/4
Hence the solution to the inequality in interval form is (-∞, -1/4)
Learn more on inequality here: brainly.com/question/24372553
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Answer:
The equation of the straight line in Slope- intercept form
y = 3 x - 11
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given points are (2,-5) and (8, 13)
The Slope of the line
Equation of the line having slope 'm' and given point
(x₁ , y₁) = ( 2, -5 )
y + 5 = 3x - 6
The equation of the straight line in slope intercept form
y = m x + c
y = 3 x - 6-5
y = 3 x - 11
<u><em>Final answer:</em></u>-
The equation of the straight line in Slope- intercept form
y = 3 x - 11
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
Answer:
x=15
Step-by-step explanation:
