10. Which graph best represents the equation, №18010798, 02.03.2022 05:57

Mathematics

10. Which graph best represents the equation y = 1.5x -2?

Step-by-step answer

P Answered by Specialist

The graph that looks like this would be the solution to the problem
10. Which graph best represents the equation y = 1.5x -2?

Mathematics

Jan ai was asked to determine the minimum for a function with zeros located at -1 and 5, which also has a y-intercept of (0,25). her work is shown. begin to write a function in factored form. f(x) = a(x+1)(x-5) substitute to determine a. -25 = a(0+1)(0-5) simplify and solve to find a. a=5 rewrite the function. f(x) = 5(x+1)(x-5) rewrite in standard form. f(x) = 5x^2-20x-25 find the x-coordinate of the vertex. x = -20/2(5) = -20/10; x = -2 find the y-coordinate of the vertex. y = 5x^2-20x-25 y = 5(-2)^2-20(-2)-25 y = 35 so (-2,35) which best describes

Step-by-step answer

P Answered by Specialist

80

Step-by-step explanation:

just got it right

Mathematics

Jan ai was asked to determine the minimum for a function with zeros located at -1 and 5, which also has a y-intercept of (0,25). her work is shown. begin to write a function in factored form. f(x) = a(x+1)(x-5) substitute to determine a. -25 = a(0+1)(0-5) simplify and solve to find a. a=5 rewrite the function. f(x) = 5(x+1)(x-5) rewrite in standard form. f(x) = 5x^2-20x-25 find the x-coordinate of the vertex. x = -20/2(5) = -20/10; x = -2 find the y-coordinate of the vertex. y = 5x^2-20x-25 y = 5(-2)^2-20(-2)-25 y = 35 so (-2,35) which best describes

Step-by-step answer

P Answered by Master

80

Step-by-step explanation:

just got it right

Mathematics

What is the equation of the line of best fit for the following data? round the slope and y-intercept of the line to three decimal places. x y 4 17 6 12 8 9 11 4 13 3 a. y = 22.105x - 1.560 b. y = 1.560x - 22.105 c. y = -22.105x + 1.560 d. y = -1.560x + 22.105

Step-by-step answer

P Answered by PhD

48

The table of data is shown below

The equation of line best fit is given in the form y=mx+b

to find the slope 'm', follow these steps:

STEP 1
$Mean (X) = \frac{4+6+8+13+11}{5}=8.4$
$Mean(Y)= \frac{17+12+9+4+3}{5}=9$

STEP 2
Refer to Picture 2 and Picture 3 for the working out of $( x_{i} -mean(X))$ and $( y_{i} -mean(Y))$
$( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)$ +(4.6)(-6)

$( x_{i}-X)( y_{i}-Y)$ =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83

STEP 3:
$( x_{i}-X) ^{2}$ = $(-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2$

STEP 4:
To find slope, divide answer in STEP 2 by the answer in STEP 3
$m= \frac{-83}{53.2} =-1.56$

STEP 5:
b=Mean(Y)-[slope*mean(X)]

We have the slope, m=-1.56

and y-intercept of 22.105
The equation of line is
y=22.105-1.560x

Correct Last statement

What is the equation of the line of best fit for the following data? round the slope and y-intercep

Mathematics

What is the equation of the line of best fit for the following data? round the slope and y-intercept of the line to three decimal places. x y 4 17 6 12 8 9 11 4 13 3 a. y = 22.105x - 1.560 b. y = 1.560x - 22.105 c. y = -22.105x + 1.560 d. y = -1.560x + 22.105

Step-by-step answer

P Answered by PhD

48

The table of data is shown below

The equation of line best fit is given in the form y=mx+b

to find the slope 'm', follow these steps:

STEP 1
$Mean (X) = \frac{4+6+8+13+11}{5}=8.4$
$Mean(Y)= \frac{17+12+9+4+3}{5}=9$

STEP 2
Refer to Picture 2 and Picture 3 for the working out of $( x_{i} -mean(X))$ and $( y_{i} -mean(Y))$
$( x_{i}-X)( y_{i}-Y) =(-4.4)(8)+(-2.4)(3)+(-0.4)(0)+(2.6)(-5)$ +(4.6)(-6)

$( x_{i}-X)( y_{i}-Y)$ =(-35.2)+(-7.2)+0+(-13)+(-27.6)=-83

STEP 3:
$( x_{i}-X) ^{2}$ = $(-4.4)^{2}+ (-2.4)^{2}+ (-0.4)^{2}+ (2.6)^{2}+ (4.6)^{2}=53.2$

STEP 4:
To find slope, divide answer in STEP 2 by the answer in STEP 3
$m= \frac{-83}{53.2} =-1.56$

STEP 5:
b=Mean(Y)-[slope*mean(X)]

We have the slope, m=-1.56

and y-intercept of 22.105
The equation of line is
y=22.105-1.560x

Correct Last statement

What is the equation of the line of best fit for the following data? round the slope and y-intercep

Mathematics

Is (2,12) a solution to the given system? y 2x+4 y 3x+7 yes no what is the solution of the system of equations shown below? 2x+2y=10 5x-2y=4 (-2,7) (2,7) (2,3) (3,2) the point (-3,11) is a solution of which of the following systems? y≥x-2 2x+y≤5 y x+8 3x+y 2 y -x+8 2x+3y≥7 y≤-3x+1 x-y≥-15 melissa keeps a jar for holding change. the jar holds 21 coins. all of the coins are quarters and nickels. the total amount in the jar is $3.85. how many quarters are in the jar? 3 7 14 21 steve is taking a 50 question test and he answered all questions. he earned

Step-by-step answer

P Answered by Master

13

Is (2,12) a solution to the given system? y>2x+4 y<3x+7

Yes

What is the solution of the system of equations shown below?
2x+2y=10 5x-2y=4

(2,3)

The point (-3,11) is a solution of which of the following systems?
y≥x-2

Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar?
21

Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y).
x+y=50 3x-y=102
Part of the solution of the system of equations is x=38. What does this value represent?

the number of points Steve earned from questions he answered correctly

Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album?
3x+5y≤72

Mathematics

Is (2,12) a solution to the given system? y 2x+4 y 3x+7 yes no what is the solution of the system of equations shown below? 2x+2y=10 5x-2y=4 (-2,7) (2,7) (2,3) (3,2) the point (-3,11) is a solution of which of the following systems? y≥x-2 2x+y≤5 y x+8 3x+y 2 y -x+8 2x+3y≥7 y≤-3x+1 x-y≥-15 melissa keeps a jar for holding change. the jar holds 21 coins. all of the coins are quarters and nickels. the total amount in the jar is $3.85. how many quarters are in the jar? 3 7 14 21 steve is taking a 50 question test and he answered all questions. he earned

Step-by-step answer

P Answered by Specialist

13

Is (2,12) a solution to the given system? y>2x+4 y<3x+7

Yes

What is the solution of the system of equations shown below?
2x+2y=10 5x-2y=4

(2,3)

The point (-3,11) is a solution of which of the following systems?
y≥x-2

Melissa keeps a jar for holding change. The jar holds 21 coins. All of the coins are quarters and nickels. The total amount in the jar is $3.85. How many quarters are in the jar?
21

Steve is taking a 50 question test and he answered all questions. He earned 3 points for each question he answered correctly. He lost 1 point for each question he answered incorrectly. His final test score was 102 points. The system of equations below describes the relationship between the number of questions he answered correctly (x) and the number of questions he answered incorrectly (y).
x+y=50 3x-y=102
Part of the solution of the system of equations is x=38. What does this value represent?

the number of points Steve earned from questions he answered correctly

Drake is recording a new album. The record company wants him to record 14 or fewer songs and the album must be shorter than 72 minutes. He can record short songs that are about 3 minutes in length or long songs that are about 5 minutes in length. Which system of inequalities best represents the number of short songs (x) and the number of long songs (y) Drake can record for his new album?
3x+5y≤72

Mathematics

Check my answers to see if they are correct and show how you got it, have an eoc 1. which best describes the difference between the graphs of f(x) + - 5x+3/4 and g(x) = -10x +3/4 answers: a.the graph of f(x) is twice as steep as the graph of g(x) b. the graph of f(x) is half as steep as the graph of g(x) (my answer) c.the graph of f(x) has a y- intercept of 5 while g(x) has a y-intercept of 10 d. both a and c are true 2. find the slope of the line that contains (1.6) and (10,-9) a. -3/11 b. -3/5 c. -5/3 my answer d. -11/3 3.find the slope of the

Step-by-step answer

P Answered by PhD

6

1. f(x) = -5x + ³/₄
   g(x) = -10x + ³/₄
The answer is B.

2. y₂ - y₁ = -9 - 6 = -15 = -1²/₃
    x₂ - x₁    10 - 1     9
The answer is C.

3. x - 3y = -6
    x - x - 3y = 6 - x
   -3y = 6 - x
   -3y = -x + 6
      -3 -3
      y = ¹/₃x - 2
The answer is A.

4.   y - y₁ = m(x - x₁)
    y - (-2) = 4(x - 3)
      y + 2 = 4(x - 3)
      y + 2 = 4(x) + 4(-3)
      y + 2 = 4x + (-12)
      y + 2 = 4x - 12
   - 2    - 2
   y = 4x - 14
The answer is B.

Mathematics

Check my answers to see if they are correct and show how you got it, have an eoc 1. which best describes the difference between the graphs of f(x) + - 5x+3/4 and g(x) = -10x +3/4 answers: a.the graph of f(x) is twice as steep as the graph of g(x) b. the graph of f(x) is half as steep as the graph of g(x) (my answer) c.the graph of f(x) has a y- intercept of 5 while g(x) has a y-intercept of 10 d. both a and c are true 2. find the slope of the line that contains (1.6) and (10,-9) a. -3/11 b. -3/5 c. -5/3 my answer d. -11/3 3.find the slope of the

Step-by-step answer

P Answered by PhD

6

1. f(x) = -5x + ³/₄
   g(x) = -10x + ³/₄
The answer is B.

2. y₂ - y₁ = -9 - 6 = -15 = -1²/₃
    x₂ - x₁    10 - 1     9
The answer is C.

3. x - 3y = -6
    x - x - 3y = 6 - x
   -3y = 6 - x
   -3y = -x + 6
      -3 -3
      y = ¹/₃x - 2
The answer is A.

4.   y - y₁ = m(x - x₁)
    y - (-2) = 4(x - 3)
      y + 2 = 4(x - 3)
      y + 2 = 4(x) + 4(-3)
      y + 2 = 4x + (-12)
      y + 2 = 4x - 12
   - 2    - 2
   y = 4x - 14
The answer is B.

Mathematics

Solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. 2x+y+4z=16 5x-2y+2z=-1 x+2y-3z=-9 a(-1, 2, 22) b(-10, 22, 42) c(-1, 2, 4) d(-10, 2, 22) select the best answer from the choices provided a b c d

Step-by-step answer

P Answered by Master

1

Title:

The answer is (7, $\frac{-2}{9}$ , $\frac{10}{3}$ ).

Step-by-step explanation:

The system of equations is given by, 2x+y+4z=16; 5x-2y+2z=-1 and x+2y-3z=-9.

The augmented matrix is $\left[\begin{array}{cccc}2&1&4&16\\5&-2&-2&1\\1&2&-3&-9\end{array}\right]$ .

Multiplying the first row with $\frac{1}{2}$ we get, $\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\5&-2&-2&1\\1&2&-3&-9\end{array}\right]$ .

Subtracting the 5 times of the first row from second row we get, $\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&\frac{-9}{2} &-12&-39\\1&2&-3&-9\end{array}\right]$ .

Multiplying the second row by $\frac{-2}{9}$ , we get $\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&1 &\frac{8}{3} &\frac{26}{3} \\1&2&-3&-9\end{array}\right]$ .

Subtracting the first row from the third row we get, $\left[\begin{array}{cccc}1&\frac{1}{2} &2&8\\0&1 &\frac{8}{3} &\frac{26}{3} \\0&\frac{3}{2} &-5&-17\end{array}\right]$ .

Subtracting Half of the second row from the first row and one and half of the second row from the third row, we get $\left[\begin{array}{cccc}1&0&\frac{-2}{3} &\frac{11}{3} \\0&1 &\frac{8}{3} &\frac{26}{3} \\0&0&-9&-30\end{array}\right]$ .

Dividing the third row by -9 we get, $\left[\begin{array}{cccc}1&0&\frac{-2}{3} &\frac{11}{3} \\0&1 &\frac{8}{3} &\frac{26}{3} \\0&0&1&\frac{10}{3} \end{array}\right]$ .

Adding two-third of the third row with the first row and subtracting $\frac{8}{3}$ of the third row from the second row, we get, $\left[\begin{array}{cccc}1&0&0 &7 \\0&1 &0&\frac{-2}{9} \\0&0&1&\frac{10}{3} \end{array}\right]$ .

10. Which graph best represents the equation y = 1.5x -2?

Step-by-step answer

Faq

Try asking the Studen AI a question.