Answer:
The total number of units produced is 6 .
Step-by-step explanation:
Given as :
The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour
The total earning of worker per hour = $ 27
Let The total number of unit produced = x
According to question
The wage worker earn per hour + earning × per unit produced that hour = Total earning of worker per hour
Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27
Or, $ 2.50 each unit per hour × x = $ 27 - $ 12
Or, $ 2.50 each unit per hour × x = $ 15
∴ x = 
Or, x = 6
Hence The total number of units produced is 6 . Answer
Answer:
f(x) = 
Step-by-step explanation:
Let the equation of the give cubic function is,
f(x) = p(x - a)(x - b)(x - c)
Here, a, b, c and d are the x-intercepts of the given graph.
Since, x-intercepts given in the graph are x = -5, 1 and 4,
Equation of the curve will be,
f(x) = p(x + 5)(x - 1)(x - 4)
Since, the graph of this function passes through (2, -2) also
-2 = p(2 + 5)(2 - 1)(2 - 4)
-2 = -p(14)
p = 
p = 
Therefore, equation will be,
f(x) =
Answer:
Exterior angles always add up to 360 degrees, therfore 360 - 222 = 138
Step-by-step explanation:
360 - 222 = 138
the answer to your question is 138degrees.
For any shape the exterior angles will always add up to 260 degrees.
Hope this helps in the future!
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
Answer:
x = 35
Step-by-step explanation:
Solve for x:
6 x - 15 = 4 x + 55
Hint: | Move terms with x to the left hand side.
Subtract 4 x from both sides:
(6 x - 4 x) - 15 = (4 x - 4 x) + 55
Hint: | Combine like terms in 6 x - 4 x.
6 x - 4 x = 2 x:
2 x - 15 = (4 x - 4 x) + 55
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
2 x - 15 = 55
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
2 x + (15 - 15) = 15 + 55
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
2 x = 55 + 15
Hint: | Evaluate 55 + 15.
55 + 15 = 70:
2 x = 70
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 70 by 2:
(2 x)/2 = 70/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 70/2
Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.
The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:
Answer: x = 35
