Answer:
12
Step-by-step explanation:
First fraction:
Numerator:
(17/40 + 0.6 - 0.005) = 1.02
1⅕ = 1.2
(1.2 ÷ 1.02)×1.7 = 2
Denominator:
5/6 + 4/3 - 53/30
Lcm: 30
(5×5 + 4×10 - 53)/30
12/30 = 0.4
Fraction value: 2/0.4 = 5
Second fraction:
4.75 + 7.5 = 12.25
33 ÷ 33/7
33 × 7/33 = 7
12.25/7 = 1.75
1.75 ÷ 0.25 = 7
Final answer:
5 + 7 = 12
The simplified expression of the function
is
. f(x) is increasing for all x > –4.The correct answer is option C.
<h3>What is a function?</h3>
A function is defined as a relation between the set of inputs having exactly one output each.
The function expression is given as:
Expand the denominator
Factorize the denominator

Factor out x + 9

The simplified expression of the function
is
. f(x) is increasing for all x > –4
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Answer:

====================================================
Step-by-step explanation:
The question is missing the attached figure.
The edge of each cube used to build this rectangular prism is 1/3 inch long. Based on the attached figure.
the volume of the prism = length × height × width
length = 
height = 
width = 
So the volume of the prism = 
∴ The equation that shows the volume of the prism, in cubic inches
= 
The linear equations are y - 25 = 0.89(x - 20) and y = 0.89x + 7.2
<h3>The slope of the line</h3>
The complete question is added as an attachment
The two points from the graph are (20, 25) and (38, 41)
The slope of the line is calculated using
m = (y2 - y1)/(x2 - x1)
Substitute the known values in the above equation
m = (41 - 25)/(38 - 20)
Evaluate
m =0.89
<h3>The linear equation in point slope form</h3>
This is calculated as:
y - y1 = m(x - x1)
Substitute the known values in the above equation
y - 25 = 0.89 * (x - 20)
Evaluate
y - 25 = 0.89(x - 20)
<h3>The linear equation in slope-intercept form</h3>
We have:
y - 25 = 0.89(x - 20)
Expand
y - 25 = 0.89x - 17.8
Add 25 to both sides
y = 0.89x + 7.2
Hence, the linear equations are y - 25 = 0.89(x - 20) and y = 0.89x + 7.2
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Answer:
y = 1/40x + 20
Step-by-step explanation:
Slope-intercept equation format:
y = mx + b
m = slope/ gradient/ constant of variation/ rate of change
b = y-intercept
To find the slope, use the formula:

Find two random points:
1 - (0.5, 40) , 2 - (1, 60)
Plug in:

Solve:

Divide:

The y-intercept is when the x-coordinate is equal to 0.
The y-intercept is always the beginning.
So observing the graph, the first point is (0, 20)
The x-coordinate is 0.
Y intercept = 20.
Plug in both slope and y-intercept:
y = 1/40x + 20