The total cost function is the sum of the two given functions, and this is equal to:
c(t) = 190 + 70*t
<h3>
How to find the linear function for the total cost?</h3>
We know that:
- The plumber charges p(t) = 115 + 25*t
- The electrician charges e(t) = 55*t + 75.
If she hires both of them for the same time t, then the total cost function will be given by the sum of the two above functions, we will get:
c(t) = p(t) + e(t)
c(t) = (115 + 25*t) + (55*t + 75)
c(t) = (115 + 75) + (55*t + 25*t)
c(t) = 190 + 70*t
If you want to learn more about linear functions, you can read:
brainly.com/question/4025726
The formula for two secants is:
(A+B)*B = (C+D)*D
In the picture :
A = 5
B = 3
C = X
D = 4
(5 +3) * 3 = (X +4)*4
Use distributive property:
24 = 4x + 16
Subtract 16 from both sides:
4x = 8
Divide both sides by 4:
X = 8/4
X = 2
Answer:
From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0
Step-by-step explanation:
Given as :
Let The standard equation of line
y = m x + c
where m is the slope of line and c is y-intercept
For, x-intercept , put y = 0
For y-intercept , put x = 0
A) y = x + 3
for x-intercept , y = 0
So, 0 = x + 3
i.e x = - 3
B) y = x² + 3 x
for x-intercept , y = 0
So, 0 = x² + 3 x
i.e 0 = x² + 3 x
Or, x ( x + 3) = 0
Or, x = 0 , x = - 3
C) y = x² - 3 x
for x-intercept , y = 0
So, 0 = x² - 3 x
i.e 0 = x² - 3 x
Or, x ( x - 3) = 0
Or, x = 0 , x = 3
D) x = y² - 3 y
for x-intercept , y = 0
So, x = 0 - 0
i.e x = 0
Hence, From the given graph , The equation y = x² - 3 x has x-intercept of 3 , 0 Answer
The forward differences for this data is 1, 1, 1, 1, 1, 1 (since 10 - 9 = 1, 11 - 10 = 1, etc). Since we only need one iteration of differences, a linear polynomial will fit the data exactly.
To get the largest area, the length and the width have to be as close as possible, if not the same.
Given Perimeter = 176 unit.
Length = 176 ÷ 4 = 44 units
Area = Length x Width
Area = 44 x 44 = 1936 units²
1936 units² is the largest possible area, given that the perimeter is 176 units. The dimension being 44 by 44
