Here's a better picture
Answers
you have:
2.) A plumber charges $25 per hour plus an additional $99 for parts. If the plumber worked for 4 hours, which equation represents the total cost for C?
Using y=mx+b
So it's $25 per hour and $99 for parts.
C=25x+99
He worked for 4 hours--->>C=25(4)+99
3.)A gym charges $35 per month for full access to their work equipment. Miss Lewis has a $140 gift certificate to the gym.
Write an equation:
Using y=mx+b
y=-35x+140
How many months can she work out using the gift certificate?
y=-35(1)+140
y=105
y=-35(2)+140
y=70
y=-35(3)+140
y=35
y=-35(4)+140
y=0
She can use the gift certificate for 4 months...
Thus, your answer.
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The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?A. f(x ) = x – |42.67| B. f(x ) = |x| – 42.67 C. f(x ) = |42.67 – x| D. f(x ) = 42.67 – |x|
A. 0.66 h
B. 3.8 h
C. 0.38 h
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Answers
Select EACH correct answer.
Answers
Answer: x = {-3, -1, 1, 7}
Step-by-step explanation:
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
| ↓ 1 -3 -25 -21
1 -3 -25 -21 0 remainder is 0 so (x - 1) is a factor
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
| ↓ -1 4 21
1 -4 -21 0 remainder is 0 so (x + 1) is a factor
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
Answer:
-3, -1, 1, 7
Step-by-step explanation:
Evaluate the function at each x value in the choices. If the polynomial evaluates to zero, then that x value is a solution.
f(-3) = (-3)^4 - 4(-3)^3 - 22(-3)^2 + 4(-3) + 21 = 0
x = -3 is a solution
f(-1) = (-1)^4 - 4(-1)^3 - 22(-1)^2 + 4(-1) + 21 = 0
x = -1 is a solution
f(0) = (0)^4 - 4(0)^3 - 22(0)^2 + 4(0) + 21 = 21
x = 0 is not a solution
f(1) = (1)^4 - 4(1)^3 - 22(1)^2 + 4(1) + 21 = 0
x = 1 is a solution
f(3) = (3)^4 - 4(3)^3 - 22(3)^2 + 4(3) + 21 = -192
x = 3 is not a solution
f(7) = (7)^4 - 4(7)^3 - 22(7)^2 + 4(7) + 21 = 0
x = 7 is a solution
Answers
I hope this helps!
B: {44, 13, 24, 12, 56}
Answers
Data set B has a greater spread because it has a greater range.
What is the range of data?
The range of the data set is defined as the difference between the maximum number of data to the minimum number of data. If the range is higher the dataset will have a greater spread.
Given dataset is:-
A: {38, 12, 23, 48, 55, 16, 18}
B: {44, 13, 24, 12, 56}
Range = Higher value - Lower value
The range for dataset A will be calculated as:-
Range of A: 55 - 12 = 43
The range for the dataset B will be calculated as:-
Range of B: 56 - 12 = 44
Therefore, dataset set B has a greater spread because it has a greater range.
To know more about Range follow
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Range = Big - small
Range of A: 55 - 12 = 43
Range of B: 56 - 12 = 44
Data set B has a greater spread because it has a greater range.
Answers
Answer:
29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
So, 52 charter schools and the number is 6 less than the alternative schools doubled. In order to find the number of alternative schools, we need to reverse the equation. 52+6=58. That means 58 is twice the amount of alternative schools. 58/2 equals 29, therefore the answer is 29
Answers
Area of a trapezoid= [(a+b)÷2]h
1,224 in²= [(65.5 in+70.5in)÷2]h
1,224in²= (136÷2)h
1,224 in²= 68h
(1,224 in²÷68)= 68h÷68 (elimination)
h= 18 inches