graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]

Graph The Line With Intercept 6 And Slope [tex] - \frac{3}{2} [/tex]

Answers

Answer 1

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Graph The Line With Intercept 6 And Slope [tex] - \frac{3}{2} [/tex]

Related Questions

PLS HELP ASAP !!! PLSSS !!

Answers

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

Sadie and Connor both play soccer. Connor scored 2 times as many goals as Sadie. Together they scored 9 goals. Could Sadie have scored 4 goals? Why or why not?

Answers

Answer:

no

the goal total would be too high

Step-by-step explanation: If Sadie had scored 4 goals, Connor would have scored 2 times 4 = 8 goals. Their goal total would then be 4+8 = 12, not 9. Sadie cannot have scored 4 goals.

__

If we let s represent the number of goals Sadie scored, then 2s is the number Connor scored. Their total is ...

 s + 2s = 9

 3s = 9 . . . . . . collect terms

 s = 9/3 = 3 . . . divide by the coefficient of s

Sadie scored 3 goals. (s=4 is not the solution to the problem)

An orthocenter is the intersection of three.....?

Answers

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

explain why triangles in the figure are similar. then find the missing length x

Answers

Answer:

∨∨∨∨see below∨∨∨∨∨∨

Step-by-step explanation:   6  26  18  13

The two outside angles are congruent.  The two inside angles are supplemental thus they are equal.  The last two angles the high one and the lower one must sum to 180° in their respective triangles so they are equal since their similar angles are equal.

find x

4 is to x as 5 is to 7.5

   4/x = 5/7.5      solve for x

   4 × 7.5 / 5  = x

    30 / 5  =  x

       6 = x

What is the true solution to In 20+ In 5= 2 In x?
x=5. A
X= 10 b
X=50 c
X= 100 d

Answers

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

Express the function H in the form f ∘ g. (Enter your answers as a comma-separated list. Use non-identity functions forf(x) and g(x).)H(x) = |1 − x3|

Answers

Answer:

We know that:

H(x) = |1 - x^3|

and:

We want to write H(x) as  f( g(x) ) , such that for two functions:

So we want to find two functions f(x) and g(x) such that:

f( g(x) ) = |1 - x^3|

Where neither of these functions can be an identity function.

Let's define g(x) as:

g(x) = x^3 + 2

And f(x) as:

f(x) = | A - x|

Where A can be a real number, we need to find the value of A.

Then:

f(g(x)) = |A - g(x)|

and remember that g(x) = x^3 + 2

then:

f(g(x)) = |A - g(x)| = |A - x^3 - 2|

And this must be equal to:

|A - x^3 - 2| =  |1 - x^3|

Then:

A = 3

The functions are then:

f(x) = | 3 - x|

g(x) = x^3 + 2

And H(x) =  f( g(x) )

A manufacturer claims that the mean lifetime,u , of its light bulbs is 51 months. The standard deviation of these lifetimes is 7 months. Sixty bulbs are selected at random, and their mean lifetime is found to be 53 months. Can we conclude, at the 0.1 level of significance, that the mean lifetime of light bulbs made by this manufacturer differs from 51 months?
Perform a two-tailed test. Then fill in the table below.
Carry your intermediate computations to at least three decimal places, and round your responses as specified in the table. (If necessary, consult a list of formulas.)
the null hypothesis:
The alternative hypotehsis:
The type of test statistic (choose Z, t, Chi-square, or F)
The value of the test statistic (round to at least three decimal places:
Can we conclude that the mean lifetime of the bulbs made by this manufacture differ from 51 months?

Answers

Answer:

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

Step-by-step explanation:

Manufacturing process under control must produce items that follow a normal distribution.

Manufacturer information:

μ  =  51 months     mean lifetime

σ  =  7 months       standard deviation

Sample Information:

x  =  51 months

n  =  60

Confidence Interval  =  90 %

Then significance level  α  =  10 %  α  =  0.1    α/2  =  0,05

Since it is a manufacturing process the distribution is a normal distribution, and with   n = 60 we should use a Z test on two tails.

Then from z- table z(c) for  α = 0,05  is  z(c)  = 1.64

Hypothesis  Test:

Null Hypothesis                              H₀            x  =  μ

Alternative Hypothesis                  Hₐ            x ≠  μ

To calculate z statistics  z(s)

z(s)  =   (  x   -  μ )  / σ /√n

z(s)  =   (  53  -  51 ) / 7 /√60

z(s)  =  2 * 7.746 / 7

z(s)  = 2.213

Comparing  z(s)  and  z(c)

z(s)  >  z(c)   then  z(s)  is in the rejection region

We reject  H₀, and conclude thet the mean lifetime of the bulbs differ from 51 month

In the year 2000, the average car had a fuel economy of 22.6 MPG. You are curious as to whether the average in the present day is less than the historical value. What are the appropriate hypotheses for this test

Answers

Answer:

The appropriate null hypothesis is [tex]H_0: \mu = 22.6[/tex]

The appropriate alternative hypothesis is [tex]H_1: \mu < 22.6[/tex]

Step-by-step explanation:

The average car had a fuel economy of 22.6 MPG. Test if the current average is less than this.

At the null hypothesis, we test if the current average is still of 22.6 MPG, that is:

[tex]H_0: \mu = 22.6[/tex]

At the alternative hypothesis, we test if the current mean has decreased, that is, if it is less than 22.6 MPG. So

[tex]H_1: \mu < 22.6[/tex]

URGENT!!!

Three friends, Cleopatra, Dalila, and ebony fo shopping. The money they have each is in the ratio

Cleopatra : Dalila : Ebony =
5 : 7 : 8

A) How many dollars do they have in total?

B) Dalila spends 12$ on a hat, how many dollars does she have left?

Answers

A)they have 20 dollar's in total

b)she is left with -12 dollar's

Explanation

total money = 5 + 7 + 8

                    = 20

Money Dalila had = 7 dollars

Money she spent = 12 dollars

money she is left with = 7 - 12 dollars

                                     = -5 dollars

how can i solve the following
4(5x-2) = 2(9x + 3

Answers

20x-18x=6+8
2x=14
X=7
Answer

3. Mrs. Baumgartner draws a pair of supplementary angles and tells the class that
the angle measures are (4x +30)' and (2x + 6).
a. Write an equation to determine the value of x. Solve for x. SHOW ALL WORK

Answers

Answer:

Equation: 4x + 30 + 2x + 6 = 180

Answer: x = 24

Step-by-step explanation:

The sum of the measures of supplementary angles is 180 deg.

Equation:

4x + 30 + 2x + 6 = 180

Solution:

4x + 30 + 2x + 6 = 180

Add like terms on the left side.

6x + 36 = 180

Subtract 36 from both sides.

6x = 144

x = 24

Answer:

X=24

Step-by-step explanation:

Supplementary angles = 180°

4x+30+2x+6=180

Combine like terms> 4x+2x=6x

Add: 30+6=36

6x+36=180.

Subtract 36 on both sides. > 36-36=0. 180-36=144.

Drop what you have left> 6x   144

Divide by 6. > 6/6= 1. 144/6=24.

X=24

Find the
surface area of the
prism.

Answers

Answer:

D.  972 ft^2

Step-by-step explanation:

SA = 2B + PH

where SA = total surface area of the prism,

B = area of a base

P = perimeter of the base

H = height of the prism

SA = 2 * bh/2 + (15 ft + 12 ft + 9 ft)(24 ft)

SA = (9 ft)(12 ft) + (15 ft + 12 ft + 9 ft)(24 ft)

SA = 972 ft^2

Please help and find and explain Claire’s Mistake

Answers

Mark brainliest please

Answer is : Mistake is in step 1

It should be 4 * 10^ 3/ 4* 10^-5

So answer is 1* 10^8

nd interest for a loan
To pay for an $18,900 truck, Joe made a down payment of $3600 and took out a loan for the rest. On the loan, he paid monthly payments of $338.67 for 4
years.

Answers

Answer: He will pay this amount, with interest, over a 4-year period payment that he must make After paying 20% as a down payment, they finance the Determine the monthly payments needed to amortize the loan and months, that payments can be made under each of the following options before the money runs out.

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.

Which expression is equivalent to (1/√y)^-1/5?

A: 1/10√y

B: 1/√y^5

C: 10√y

D: 5√y^2​

Answers

Answer:

C

Step-by-step explanation:

(1/√y)^-1/5

= (1/sqrt(y))^(-1/5)

=sqrt(y)^(1/5)

=y^(1/10)

= (tenth root of y)

=C

:)

Find the volume of the prism.

Answers

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³

Is the ordered pair (5, 24) a solution of y = 4x + 4? *​

Answers

Answer:

yes

Step-by-step explanation:

y = 4x + 4

24 = 4(5) + 4

24 = 20 + 4

24 = 24

which term in the quotient of this expression contains an error?

Answers

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

expand 3e(e+4)
Hhhhhhh

Answers

Answer:

[tex]3e^{2} + 12e[/tex]

Step-by-step explanation:

[tex]3ee+3e4[/tex]

[tex]3ee+3 * 4e[/tex]

[tex]3e^{2} + 12e\\[/tex]

[tex]3 \: {e}^{2} + 12 \: e[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \: e \: ( \: e + 4 \: ) \\ \\ = 3 \: e \times \: e + 3 \: e \times 4 \\ \\ = 3 \: {e}^{2} + 12 \: e[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique }}{\orange{♡}}}}}[/tex]

Four times the sum of 5 and some number is 4. What is the number

Answers

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

What is the value of log √10?

Answers

Answer:

0.5

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

calculator

FACTOR b2 – 18b + 81

Answers

Answer:

(b-9)^2

Step-by-step explanation:

b^2-18b+81

=b^2-(9+9)b+81

=b^2-9b-9b+81

=b(b-9)-9(b-9)

=(b-9)(b-9)

=(b-9)^2

Hope this helps u!!

Find the value of x

(it needs to be 20 characters so don’t mind the extra ness ………..)

Answers

x=120

180-46-74= 60
180-60= 120


Prob and stats question help

Answers

Answer:

It is C

Step-by-step explanation:

Trust me, i got it right

Answer:

C

Step-by-step explanation:

have a great rest of your day!! btw Ill view ur profile!! :)

if △ABC = △DEF, which side is congruent to EF?
A. AB
B. BC
C. AC

Answers

Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

AB = DEBC = EFCA = FD

Consider the function f(x) = 2^x
and function g
g(x) = f(x) + 6
How will the graph of function g differ from the graph of function ?

Answers

Answer:

The graph of function g is the graph of function f shifted 6 units up

Step-by-step explanation:

If you plug in the values, [tex]g(x) = 2^{x} + 6[/tex]. If the 6 was added or subtracted from the x in the exponent, it would shift horizontally (left and right), but adding 6 to f(x) separately moves the graph vertically (up and down). Hope this helps.

If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?

Answers

69.92 when you add them all up and divide it you get 69.92

Shift parabolas
f(2)=z²
g(x) = (x+4)^2 - 1
We can think of g as a translated (shifted) version of fi
Complete the description of the transformation.
Use nonnegative numbers.
To get the function g, shift f up/down
by
units and to the right/left
by
units.

Answers

The parabola is translated 4 units left and 1 unit down

The school newspaper surveyed 100 commuter students and asked three questions. First, students were asked how many courses they were currently enrolled in. Second, the commuter students were asked to estimate how long it took them to drive to campus. And third, they were asked their heights. Identify the type of random variable being measured by each.

Answers

Answer:

The number of courses they were currently enrolled in is a discrete random variable.

The time it took them to drive to campus is a continuous random variable.

Their heights is a continuous random variable.

Step-by-step explanation:

Random variables:

Random variables can be classified as continuous or discrete.

Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.

First, students were asked how many courses they were currently enrolled in.

Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.

Second, the commuter students were asked to estimate how long it took them to drive to campus.

Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.

And third, they were asked their heights.

Can also be decimal numbers, so continuous.

The work shows how to use long division to find (x2 + 3x –9) ÷ (x – 2).

Answers

Answer:

x+5+\frac{1}{x-2}

X + 5 + 1/( x - 2)

Step-by-step explanation:

I would recomend using Symbolab to help you understand math like this in an easy step-by-step manner. It will take a while to explain so you can see how to solve these problems through that!

The answer should be 1/x-2
Other Questions
Can someone please help ?! Thanks ! which food is consistently unhealthy? Differentiate between an active partner and sleeping partner? Miners quickly realized that the newly discovered Comstock Lode would require different technology than mines in California because Group of answer choices A) the ore was so pure that it was difficult to extract. B) the ore was deep underground. D) the ore was richest in the streams and rivers. C) the rock surrounding the ore was too hard for picks and hammers. Read the passage. Then answer the questions below.Philadelphia is a city known for many things. It is where the Declaration ofIndependence was signed in 1776, and it was also the first capital of the United States.But one fact about Philadelphia is not so well-known: it is home to nearly 3,000 muralspainted on the sides of homes and buildings around the city. In fact, it is said thatPhiladelphia has more murals than any other city in the world, with the exception ofRome. How did this come to be?More than 20 years ago, a New Jersey artist named Jane Golden started a programpairing troubled youth with artists to paint murals on a few buildings around the city.From this small project, something magical happened. The young people involvedhelped to create magnificent pieces of art, but there were other, perhaps more importantbenefits. The young people learned to collaborate and get along with many differentkinds of people during the various steps required to paint and design a mural. Theylearned to be responsible, because they needed to follow a schedule to make sure themurals were completed. They also learned to take pride in their community. It is hard forany resident to see the spectacular designs and not feel proud to be a part of Philadelphia.Take a walk around some of the poorest neighborhoods in Philadelphia,neighborhoods full of broken windows and littered front steps, and you will find beautifulworks of art on the sides and fronts of buildings. Of course the murals are not just in poorneighborhoods, but more affluent ones as well.Special buses take tourists to different parts of the city to see the various murals, whichrange from huge portraits of historical heroes, to cityscapes, to scenes depicting thediverse ethnic groups that call Philadelphia home.As a result of its success, the mural program created by Jane Golden has nowbecome the nations largest public art program and a model for other cities throughout thecountry seeking to help troubled youth.1Questions1) The main focus of the passage isA. an art program designed to help troubled youthB. the many tourists who come to Philadelphia to see muralsC. the reasons why Philadelphia is a unique cityD. how Jane Golden came up with the idea to start a mural program2) As used in paragraph1, the phrase it is said suggests that the author isA. knowingly misleading the readerB. using a quote from someone elseC. referring to something that is widely believed, but may be untrueD. referring to something that he or she does not personally believe3) As used in paragraph 1, the phrase with the exception of Rome means thatA. Rome has fewer murals than PhiladelphiaB. Philadelphia has fewer murals than RomeC. Rome has the most beautiful murals of allD. Rome and Philadelphia are the only cities with murals4) According to the passage, the murals in PhiladelphiaI. draw tourists who want to see themII. instill responsibility and pride in the people who paint themIII. are solely designed by the youth who paint themA. I onlyB. I and II onlyC. II and III onlyD. I, II, and III5) As used in paragraph 3, which is the best definition of affluent?A. popularB. cleanC. well-knownD. wealthy6) Based on information in the passage, the author most likely believes thatA. there are too many murals in PhiladelphiaB. the mural program was an inspirational ideaC. all troubled youth should learn how to paintD. every city in the country should adopt the mural program7) Based on information in the passage, it can be inferred that the author believes the two best reasonsfor other cities to adopt the mural program are toA. beautify their city and draw touristsB. help troubled youth and beautify their cityC. have as many murals as Philadelphia and help troubled youthD. draw tourists and surpass Philadelphia in terms of number of murals8) In order to make this passage more engaging to readers, the author could have includedI. a brief history of PhiladelphiaII. pictures of some of the muralsIII. an interview with a program muralistA. I onlyB. I and II onlyC. 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On a number line, graph all the temperature that are warmer than -2 degrees Celsius how do you confront someone who you know has hurt you without coming off as rude? Write a python program that will accept monthly salary amounts greater than zero but lessthan or equal to 400,000.00 until the user enters the character e. After the userenters the character e, calculate the net pay of all salaries by deducting income tax ata rate of 25%, pension of 5% and housing contribution of 2% from each salaryentered. Additionally, print the number of salaries that were entered in the programalong with the number of salaries that exceed 300,000.00 Three early farming cultures in the Americas were the:1. Aztec, Olmec, Maya2. Aztec, Maya, Mound Builders3. Anasazi, Olmec, Mound BuildersASAP I WILL GIVE BRAINIEST 5(x+2)-4 = 13-7(x+1) What is the median of this set of data? 362, 187, 211, 298, 331, 250, 347, 199 Earning a promotion is made easier if you know the ______.a. First and last name of your supervisorb.Password to your companys database isc.Kind of characteristics your company valuesd.Lunch order your supervisor favors