What are the slope and y-intercept of the line of best fit on this scatterplot
Answers
Answer:
A. The y-intercept is 8 and the slope is
Step-by-step explanation:
The point where line meets y-axis is called the y-intercept.
So, y-intercept = (0, 8)
Slope is the direction of line and it is calculated as,
where (x₁, y₁) and ( x₂, y₂) are any two points on the line.
Let (x₁, y₁) = (0, 8) and (x₂, y₂) = (6, 0)
∴
⇒
Hence, Option (A) is correct.
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Answers
The zeros of a function are the values of x that equates the function to 0
The zeros of the function are: 0, -7 and -2
The function is given as:
Equate to 0
Cross multiply
Split
Solve for x
Hence, the zeros of the function are:
F. 0
D. -7
C. -2
Read more about zeros of a function at:
question: What are the zeros of the function below? Check all that apply.
F(x)= x(x+7)(x+2) / (x-4)(x+4)
answer:
- c. -2
- d. -7
- f. 0
explanation: The "0" you are looking for are the x's. They equal the F(x) to 0.
F(x)= x(x+7)(x+2) / (x-4)(x+4)
Step 1- Set equal to 0.
- x(x+7)(x+2) / (x-4)(x+4) = 0
Step 2- Multiply.
- x(x+7)(x+2) = 0
Step 3- Separate.
- x = 0
- (x+7) = 0
- (x+2) = 0
Step 4-Simplify.
- x = 0
- x + 7 = 0
- subtract 7 from both sides.
- x = -7
- x + 2 = 0
- subtract 2 from both sides.
- x = -2
summary: The zeros in the function F(x)= x(x+7)(x+2) / (x-4)(x+4) are 0 , -7 , or -2.
Answers
Answers
Answer:
Inverse proportion
Step-by-step explanation:
Inverse proportion, as x increases, y decreases
Answers
0.07 x 8000 = 560
8000 + 560 + 400 = 8960
8960 +15 = 8,975
Total Price = $8,975
.05*8,000=400
.07*8,000=560
400+560+8,000=8960
And finally, we add that extra fee.
8960+15=$8,975
Hope it Helps!!! :)
Answers
Answer:
number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
Step-by-step explanation:
Given the ratio of nurses to doctors is 9:2, we can express this as:
Number of nurses (9x) : Number of doctors (2x)
Now, you've mentioned that the total number of nurses and doctors employed at the hospital is 77n. So, we can set up an equation:
9x + 2x = 77n
Combine like terms:
11x = 77n
Now, to find the number of nurses (9x) and the number of doctors (2x), we need to divide both sides by 11:
9x = (77n) / 11
9x = 7n
Now, we can solve for x:
x = (7n) / 9
So, the number of nurses employed at the hospital is 9x = 9 * (7n/9) = 7n, and the number of doctors is 2x = 2 * (7n/9) = (14n/9).
In summary:
- Number of nurses = 7n
- Number of doctors = (14n/9)
solved by MG
Answers
The required function would be f(x) = 6x² which represents the set of ordered pairs.
What is a function?
The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
We have been given that function as sets of ordered pairs :
(0,0), (1,6), (2,24), (3,54), (4,96)
First, we must identify a pattern. It appears that all yₓ values are multiples of 6.
We can divide yₓ by 6x since it is a multiple of 6 and a multiple of x:
y₁/ 6×1 = 1
y₂/ 6 ×2 = 2
y₃/ 6 ×3= 3
y₄/6×4 = 4
We can clearly see a pattern here ;
y/ 6×x = x
y = x × x × 6
y = 6x² = f(x)
Therefore, the required function would be f(x) = 6x² which represents the set of ordered pairs.
Learn more about the functions here:
#SPJ5
f(x) = 6x²