1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
IRINA_888 [86]
3 years ago
13

(3x2 + 7x - 18) (x - 3)

Mathematics
1 answer:
eduard3 years ago
8 0

Answer

This is the answer for your question.

You might be interested in
A person measured the depth of water in a bathtub at two minute intervals after the tap was turned on. Use the line of best fit
Leto [7]

Answer:

The Depth of water in the bathtub initially = 2 cm

Step-by-step explanation:

For this question, we want to f8nd the amount of water present in the bathtub at time t = 0 using line of best fit, that is, linear regression analysis.

The table provided shows that the depth of water in the bathtub (y) changes as time (x) progresses.

Time (min) (x) | 2 | 4 | 6 | 8 | 10 | 12 | | 14

Depth (cm) (y) | 8 | 15 | 29 | 37 | 39 | 49 | 55

Running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.

Σxᵢ = sum of all the independent variables (sum of all the time data)

Σyᵢ = sum of all the dependent variables (sum of all the depth data)

Σxᵢyᵢ = sum of the product of each dependent variable and its corresponding independent variable

Σxᵢ² = sum of the square of each independent variable (time data)

Σyᵢ² = sum of the square of each dependent variable (depth data)

n = number of variables = 7

The scatter plot and the line of best fit is presented in the second attached image to this solution

Then the regression analysis is then done

Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]

Intercept b = [Σyᵢ - m×(Σxᵢ)] / n

Mean of x = (Σxᵢ)/n

Mean of y = (Σyᵢ) / n

Sample correlation coefficient r: r =

[n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}

And -1 ≤ r ≤ +1

All of these formulas are properly presented in the third attached image to this answer

The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.

The linear regression equation obtained is then

y = 3.911x + 1.857

at a regression coefficient of 0.987 (the closer the value is to 1, the more accurate the equation obtained)

So, the Depth of water in the bathtub initially, that is, when t = x= 0,

y = 3.911x + 1.857

y = 3.911(0) + 1.857 = 1.857 cm = 2 cm to the nearest integer.

Hope this Helps!!!

3 0
3 years ago
The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
3 years ago
Solve 11 < or equal to -11v
nignag [31]
1 < or equal to - v

- 1 > or equal to v
3 0
3 years ago
Read 2 more answers
What is the slope intercept form of the graph
Bingel [31]

Answer:

y = x + 1

Step-by-step explanation:

y = mx + b

First, find the y-intercept. This is where the line intersects with the y-axis.

So, 1. -> y = mx + 1

Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.

(1/2)/(1/2)

= 1 -> y = x + 1

Therefore, y = x + 1

7 0
2 years ago
Solve for x The value of x is
Varvara68 [4.7K]

Answer:

7x+19 = 11x-89

-19. -19

7x= 11x-108

-11x -11x

-4x=-108

x=27

8 0
3 years ago
Other questions:
  • The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either
    11·2 answers
  • Simplify please (10 points)
    12·2 answers
  • If a person drives 75 miles in two hours, how long would it take in five hours? What it be at 17 hours?
    8·2 answers
  • Josie plotted 3 points from the equation y = 2x on this coordinate grid. She drew a straight line through the points.
    12·2 answers
  • I NEEEDDDDD HELPPPP FASTTTT PLZZZZZ I NEEED SOMEONES HELPPPP !!!!
    15·2 answers
  • Rewrite 2/20 : 1/40 as a unit rate
    12·2 answers
  • Two sides of a triangle have lengths 5 in. and 16 in. Describe the possible lengths of the third side.
    6·2 answers
  • Does anyone know what the answer please??
    15·1 answer
  • Jeremy tracked the temperature as a weather front crossed his region. The temperature rose 12 degrees, fell 27 degrees, and fina
    13·2 answers
  • Please answer this asap
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!