MATHEMATICS HIGH SCHOOL

Given the following system of equations, identify the type of system.x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent

Answers

Answer 1

Answer:

Answer:

The two lines in the graph are parallel, so it is B. Inconsistent since there is no solution.

Answer 2

Answer:

Answer:

the answer would be B inconsistent

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An automobile manufacturer wants to find out what types of product-related problems its customers are experiencing. The best method to gather the data is

Answers

Data collection involving the types of product-related problems a manufacturer's customers are experiencing is more suitable to make use of qualitative data collection. This is because the type of data you are interested in is more subjective and open-ended. The best method to gather the data is through survey/questionnaire.

Answer: a survey

Step-by-step explanation:

What is an equation of the line that passes through the point (-4,8) and is parallel to the line x+y=6?

Answers

Answer:

y = -x + 4

Step-by-step explanation:

x + y = 6 => y = -x + 6

The line that parallel to y = -x + 6 has same slope so m = -1

Using coordinates (-4,8)

y = mx + b

8 = (-1)(-4) + b

8 = 4 + b

b = 4

then y = -x + 4

Scatter plot residuals, please help

Answers

Residual plot 1: question 1: is scatter plot C.   question 2: perfect model
Residual plot 2: question 1: is scatter plot B.   question 2: Not appropriate model
Residual plot 3: question 1: is scatter plot A.   question 2: Good (but not perfect) model

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:

For: ax2+ bx + c

x =[ -b ± √b²-4ac] /2a

Replacing with the values given:

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:

x = [ -48.6 + 69] /-32 = -0.6375

Negative:

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.

The object to hit the ground takes 3.675 seconds.

An initial velocity of 48.6 feet per second

When the object hits the ground, h=0:

h=−16t²+48.6t+37.5

0=−16t²+48.6t+37.5

We have to apply the quadratic formula:

For: ax²+ bx + c

x =[ -b ± √b²-4ac] /2a

Substituting with the values given:

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:

x = [ -48.6 + 69] /-32 = -0.6375

Negative:

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

For such more questions on object

brainly.com/question/28032639

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Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make? a)he only used the additive inverse of 10m when combining like terms. b)She added the polynomials instead of subtracting. c)She only used the additive inverses of –7n and 3mn when combining like terms. d) She did not combine all like terms.

Answers

Answer:

a) She only used the additive inverse of 10m when combining like terms.

Step-by-step explanation:

Given : Holly finds that $(11m-13n+6mn)-(10m-7n+3mn)=m-20n+9mn$

First we open the bracket by multiplying minus sign in it, we get

$11m-13n+6mn-10m+7n-3mn$

Combining like terms we get, we get

$11m-10m-13n+7n+6mn-3mn=m-6n+3mn$ → correct answer.

When we compare the correct answer to the answer given by Holly, the first term is same in both the answers,

Therefore, She only used the additive inverse of 10m when combining like terms.

Answer:

answer A

Step-by-step explanation:

{–½, 2}{–½, –2}
{½, 2}
{½, –2} Use the quadratic formula to solve 2y2 – 5y = –2.

Answers

$2y^2 - 5y =-2\n \n2y^2 - 5y +2=0\n \n a=2 , \ b=-5, \ c=2 \n \n\Delta =b^2-4ac = (-5)^2 -4\cdot2\cdot 2 = 25-16=9 \n \ny_(1)=(-b-√(\Delta) )/(2a)=(5-√(9))/(2\cdot 2 )=(5-3)/(4)=(2)/(4)= (1)/(2)$

$y_(2)=(-b+√(\Delta) )/(2a)=(5+√(9))/(2\cdot 2 )=(5+3)/(4)=(8)/(4)= 2\n \nAnswer : \ \left \{ (1)/(2),2 \right \}$

Answer:

1/2, 2

Step-by-step explanation:

i took the test

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