Answer:
(100,14000), (200, 22000), (300, 30000)
Step-by-step explanation:
y = 80x + 6000 ........ (1) is the equation which gives the cost (y) in dollars for making x number of computer desks.
Let, f(x) = 80x + 6000
So, f(100) = 80 × 100 + 6000 = 14000 {From equation (1)}
So, to produce 100 desks it costs $14000.
Again, f(200) = 80 × 200 + 6000 = 22000 {From equation (1)}
So, to produce 200 desks it costs $22000.
Again, f(300) = 80 × 300 + 6000 = 30000 {From equation (1)}
So, to produce 300 desks it costs $30000.
Then table will be (100,14000), (200, 22000), (300, 30000) (Answer)
Answer:
s = 10w
Step-by-step explanation:
We can find the equation in <u>slope-intercept form</u> which is y = mx + b. The variables mean:
"b" - for the y-intercept (where the graph hits the y-axis)
"m" - for the slope (how steep the line is)
"x" and "y" - coordinates that satisfy the equation (points on the line)
From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.
To find the slope, "m", use the equation
. To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.
Point 1 (0, 0) x₁ = 0 y₁ = 0
Point 2 (1, 10) x₂ = 1 y₂ = 10
Substitute values
Subtract to simplify
Simplify the fraction
m = 10 Slope of the line
Since we know "m" and "b", we can write the equation:
y = mx + b
y = 10x + 0
y = 10x
We are not using "x" and "y" in this case. Change them according to the question.
x => w
y => s
y = 10x => s = 10w
Answer:
Step-by-step explanation:
<u>The length of the strip is equal to perimeter of the kitchen.</u>
<u>Cost of the strip is:</u>
Answer:
So if you're having difficulty visualizing the differences, you can rewrite them so they all have the same denominator
7/12 = 35/60
1/2 = 30/60
2/3 = 40/60
4/10 = 24/60
1/6 = 10/60
So now it's easier to see how they compare to each other.
10/60, 24/60, 30/60, 35/60, 40/60
And then simplify them or just refer to what they were before
1/6, 4/10, 1/2, 7/12, 2/3
I hope this helps!
Answer:
x = 13.4
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
x² + 6.8² = 14.1²
x² = 14.1² - 6.8²
x² = 152.57
Take the square root of both sides
x = 12.3519229272
Rounded
x = 13.4