Find the x - and y -intercepts of the graph of the linear equation -6x + 9y = -18

Someone else got x=(3,0) y=(0,-2) but it was wrong

Answers

Answer 1

Answer:

x-intercept = 3y-intercept = -2

Step-by-step explanation:

You want the intercepts of the equation -6x +9y = -18.

Intercepts

There are several ways to find the intercepts. In each case, the x-intercept is the value of x that satisfies the equation when y=0, and vice versa.

For y = 0, we find the x-intercept to be ...

  -6x + 0 = -18

  x = -18/-6 = 3

The x-intercept is 3; the point at that intercept is (3, 0).

For x = 0, we find the y-intercept to be ...

  0 +9y = -18

  y = -18/9 = -2

The y-intercept is -2; the point at that intercept is (0, -2).

Intercept form

The intercept form of the equation for a line is ...

  x/a +y/b = 1

where 'a' is the x-intercept, and 'b' is the y-intercept.

We can get this form by dividing the original equation by -18.

  -6x/-18 +9y/-18 = 1

  x/3 +y/(-2) = 1

The x-intercept is 3; the y-intercept is -2.

__

Additional comment

When asked for the intercepts, it is sometimes not clear whether you are being asked for the value where the curve crosses the axis, or whether you are being asked for the coordinates of the point there.

Your previous "wrong" answer was given as point coordinates. Apparently, just the value at the axis crossing is required.

You have to have some understanding of your answer-entry and answer-checking software to tell the required form of the answer (or you can ask your teacher).

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Find The X - And Y -intercepts Of The Graph Of The Linear Equation -6x + 9y = -18Someone Else Got X=(3,0)

Related Questions

the circle below is centered at the point (2,-1 ) and had a radius of length 3 what is its equation

Answers

The standard equation for a circle is

[tex]\begin{gathered} (x-a)^2+(y-b)^2=r^2 \\ \text{where} \\ a=2 \\ b=-1 \\ r=\text{radius}=3 \\ (x-2)^2+(y-(-1))^2=3^2 \\ (x-2)^2+(y+1)^2=3^2 \\ \end{gathered}[/tex]

The circle graph shows how the annual budget for a company is divided by department. If the amount budgeted for support, sales, and media combined is $25,000,000, what is the total annual budget?

Answers

Answer: $50,000,000

Explanation:

First, we add up the percentage of support, sales, and media covers. Given that:

Support = 23%

Sales = 22%

Media = 5%

The total percentage would be

[tex]23\%+22\%+5\%=50\%[/tex]

This would mean that $25,000,000 covers half of the annual budget. The other half would be of the same amount, therefore, the total annual budget would be:

[tex]\begin{gathered} 50\%+50\%=100\% \\ \$25,000,000+\$25,000,000=\$50,000,000 \end{gathered}[/tex]

The perimeter of the triangle below is 91 units. Find the length of the side QR. write your answer without variables.

Answers

Given:

The perimeter of the triangle, P=91.

The sides of the triangle are,

PR=4z

QR=z+3

PQ=5z-2.

The perimeter of the triangle can be expressed as,

[tex]\begin{gathered} P=PR+QR+PQ \\ P=4z+z+3+5z-2 \\ P=10z+1 \end{gathered}[/tex]

Now, put P=91 in the above equation to find the value of z.

[tex]\begin{gathered} 91=10z+1 \\ 91-1=10z \\ 90=10z \\ \frac{90}{10}=z \\ 9=z \end{gathered}[/tex]

Now, the length of the side QR can be calculated as,

[tex]\begin{gathered} QR=z+3 \\ QR=9+3 \\ QR=12 \end{gathered}[/tex]

Now, the length of QR is 12 units.

You choose a marble from the bag. What is the probability you will NOT choose blue?1/25/72/72

Answers

Given a sample and required to get the probability of a particular outcome, we make a couple of considerations including:

- Sample Space: The universal set

- Required Outcome

We can identify these variables as:

Sample space: total number of marbles = 7

Required outcome: Not blue = 7 - 2 = 5

Probability is given as:

[tex]\begin{gathered} P=\text{ }\frac{\text{number of required outcome}}{Sample\text{ space}}=\frac{5}{7} \\ P=\frac{5}{7} \end{gathered}[/tex]

Sally Sue had spent all day preparing for the prom. All the glitz and the glamour of the evening fell apart as she stepped out of the limousine and her heel broke and she fell to the ground. Within minutes, news of her crashing fall had spread to the 550 people already at the prom. The function, p(t) = 550(1-e^-0.039t) where t represents the number of minutes after the fall, models the number of people who were already at the prom who heard the news.How many minutes does it take before all 550 people already at the prom hear the news ofthe great fall? Show your work.

Answers

We have the function

[tex]p(t)=550(1-e^{-0.039t})[/tex]

Therefore we want to determine when we have

[tex]p(t_0)=550[/tex]

It means that the term

[tex]e^{-0.039t}[/tex]

Must go to zero, then let's forget the rest of the function for a sec and focus only on this term

[tex]e^{-0.039t}\rightarrow0[/tex]

But for which value of t? When we have a decreasing exponential, it's interesting to input values that are multiples of the exponential coefficient, if we have 0.039 in the exponential, let's define that

[tex]\alpha=\frac{1}{0.039}[/tex]

The inverse of the number, but why do that? look what happens when we do t = α

[tex]e^{-0.039t}\Rightarrow e^{-0.039\alpha}\Rightarrow e^{-1}=\frac{1}{e}[/tex]

And when t = 2α

[tex]e^{-0.039t}\Rightarrow e^{-0.039\cdot2\alpha}\Rightarrow e^{-2}=\frac{1}{e^2}[/tex]

We can write it in terms of e only.

And we can find for which value of α we have a small value that satisfies

[tex]e^{-0.039t}\approx0[/tex]

Only using powers of e

Let's write some inverse powers of e:

[tex]\begin{gathered} \frac{1}{e}=0.368 \\ \\ \frac{1}{e^2}=0.135 \\ \\ \frac{1}{e^3}=0.05 \\ \\ \frac{1}{e^4}=0.02 \\ \\ \frac{1}{e^5}=0.006 \end{gathered}[/tex]

See that at t = 5α we have a small value already, then if we input p(5α) we can get

[tex]\begin{gathered} p(5\alpha)=550(1-e^{-0.039\cdot5\alpha}) \\ \\ p(5\alpha)=550(1-0.006) \\ \\ p(5\alpha)=550(1-0.006) \\ \\ p(5\alpha)=550\cdot0.994 \\ \\ p(5\alpha)\approx547 \end{gathered}[/tex]

That's already very close to 550, if we want a better approximation we can use t = 8α, which will result in 549.81, which is basically 550.

Therefore, we can use t = 5α and say that 3 people are not important for our case, and say that it's basically 550, or use t = 8α and get a very close value.

In both cases, the decimal answers would be

[tex]\begin{gathered} 5\alpha=\frac{5}{0.039}=128.2\text{ minutes (good approx)} \\ \\ 8\alpha=\frac{8}{0.039}=205.13\text{ minutes (even better approx)} \end{gathered}[/tex]

Find the variance for the set of data: 22, 26, 17, 20, 20.The variance is

Answers

The variance of a given data set with size N is given by the formula:

[tex]\begin{gathered} \sigma=\sqrt{\frac{1}{N}\sum_{i=1}^N(x_i-\mu)^2} \\ Var(X)=\sigma^2 \end{gathered}[/tex]

Then, for the data set {22, 26, 17, 20, 20} and N = 5, we have:

[tex]\begin{gathered} \mu=\frac{22+26+17+20+20}{5}=21 \\ \sigma=\sqrt{\frac{1^2+5^2+(-4)^2+(-1)^2+(-1)^2}{5}}=\sqrt{\frac{44}{5}}=2\sqrt{\frac{11}{5}} \\ \therefore Var(X)=\frac{44}{5}=8.8 \end{gathered}[/tex]

What happens to F(x) when x is negative but approaches zero for the functionF(x) = 1/x, whose graph is shown below?

Answers

Given: The graph of the function below

[tex]F(x)=\frac{1}{x}[/tex]

To Determine: What happens to F(x) when x is negative but approaches zero

Solution:

It can be observed from the given graph that when x is negative but approaches zero, F(x) approaches negative infinity

This is as shown below

From the options provided, the best answer is F(x) is a negative number, OPTION C

Rearrange the formula y = a-bx² to make x the subject.​

Answers

Answer:

x = ± [tex]\sqrt{\frac{a-y}{b} }[/tex]

Step-by-step explanation:

y = a - bx² ( subtract a from both sides )

y - a = - bx² ( multiply through by - 1 )

bx² = a - y ( divide both sides by b )

x² = [tex]\frac{a-y}{b}[/tex] ( take square root of both sides )

x = ± [tex]\sqrt{\frac{a-y}{b} }[/tex]

What is the value of 3/8 dividend by 9/10
A) 3
B 5/12
C 27/80
D 2/3

Answers

Answer:

B 5/12 (im stupi d)

Step-by-step explanation:

(3/8)/(9/10) = (3/8) * (10/9) = 5/12

Answer:

B) [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Apply the fractions rule a/b ÷c/b = a/b × d/c

= 3/8 x 10/9

Multiply fractions a/b x c/d = [tex]\frac{axc}{b x d}[/tex]

Multiply the numbers: 3 x 10 = 30

= 3/10 8 x 9

Multiply the numbers: 8 x 9 = 72

= 30/72

Cancel the common factor: 6

5/12

Slove this equation 19=n+22

Answers

Step-by-step explanation:

I think it helps you

please mark me as brainlist

Answer:

greyehahhsh[tex]5.5723[/tex]

what is the constant of proportionality in this proportional relationship? x 2 2-1/2 3 3-1/2 y 5/2 25/8 15/4 35/8. answer choices 4/5, 5/4, 4, 5

Answers

a proportional relationship has the following form:

yyy=

7(x+2)=

4(x+4)=

9(x+6)=

Answers

14

16

54

Multiply each term in the parentheses by 9 and you should get something like this: 9x+9x6 and then multiply the numbers and you should get 9x+54

Choose an equation that models the verbal scenario. The cost of a phone call is 7 cents to connect and an additional 6 cents per minute (m).

Answers

"The cost of a phone call is 7 cents to connect and an additional 6 cents per minute (m)"

If "C" indicates the total cost of a phone call and "m" corresponds to the number of minutes the phone call lasted.

The phone call costs 7 cents to connect, this means that regardless of the duration of the call, you will always pay this fee. This value corresponds to the y-intercept of the equation.

Then, the phone call costs 6 cents per minute, you can express this as "6m"

The total cost of the call can be calculated by adding the cost per minute and the fixed cost:

[tex]C=6m+7[/tex]

Chase and his brother want to improve their personal information for when they startapplying to colleges of their choice. To accomplish this they decide to help the SalvationArmy with delivering hot meals to senior citizens. About a month ago, they decided tokeep track of how many successful deliveries they have each completed. As of today,Chase has successfully delivered 18 out of the 30 meals to senior citizens.Part AHow many more meals would Chase have to deliver in a row in order to have a 75%successful delivery record? Justify your answer.Part BHow many more meals would Chase have to deliver in a row in order to have a 90%successful delivery record? Justify your answer.PartAfter successfully delivering 18 out of 30 meals would Chase ever be able to reach a100% successful delivery record? Explain why or why not.

Answers

Part A.

Chase has successfully delivered 18 out of the 30 meals to senior citizens.

We have to calculate how many more meals (lets call it x) she has to deliver to have a 75% successful delivery record.

In order to do that, (18+x) meals have te be delivered successfully out of (30+x), and the successful meals (18+x) divided by (30+x) has to be 0.75:

[tex]\begin{gathered} \frac{18+x}{30+x}=0.75 \\ 18+x=0.75(30+x) \\ 18+x=22.5+0.75x \\ x-0.75x=22.5-18 \\ 0.25x=4.5 \\ x=\frac{4.5}{0.25} \\ x=18 \end{gathered}[/tex]

Chase has to deliver 18 more meals successfully in order to have a 75% success delivery record.

Part B.

We apply the same analysis but we replace 0.75 with 0.9 as the delivery record.

[tex]\begin{gathered} \frac{18+x}{30+x}=0.9 \\ 18+x=0.9(30+x) \\ 18+x=27+0.9x \\ (1-0.9)x=27-18 \\ 0.1x=9 \\ x=\frac{9}{0.1} \\ x=90 \end{gathered}[/tex]

Chase has to deliver 90 more meals successfully in order to have a 90% success delivery record.

Part C.

She won't be able to achieve 100% successful delivery record. We can prove it mathematically, but we already know as there are 12 meals that weren't successfully delivered, so we can get close to 100% but it can't never be reached.

Mathematically we have:

[tex]\begin{gathered} \frac{18+x}{30+x}=1 \\ 18+x=30+x \\ x-x=30-18 \\ 0=12 \end{gathered}[/tex]

This solution is not valid, so there is no valid solution for x.

Find all x-intercepts of the following function. Write your answer or answers as
coordinate points. Be sure to select the appropriate number of x-intercepts.
f(x)
3x + 30
25x2 - 49

Answers

Given: The function below

[tex]f(x)=\frac{3x+30}{25x^2-49}[/tex]

To determine: All x-intercepts of the given function

The x-intercept is a point where the graph crosses the x-axis

We would substitute the function equal to zero and find the value of x

[tex]\begin{gathered} f(x)=\frac{3x+30}{25x^2-49},f(x)=0 \\ \text{Therefore} \\ \frac{3x+30}{25x^2-49}=0 \\ \text{cross}-\text{ multiply} \\ 3x+30=0 \end{gathered}[/tex][tex]\begin{gathered} 3x=-30 \\ \frac{3x}{3}=\frac{-30}{3} \\ x=-10 \end{gathered}[/tex]

Therefore, the coordinate of the x-intercept is (-10, 0)

With the information given, find the lenght of the prism

Answers

Answer:

The lenght of the prism is 22 cm.

Step-by-step explanation:

From the given drawing, we can conclude that a one-unit line measures 2 cm. Since the prism is 11 unit lines long, we can conclude that it is 22 cm.

Is my answer correct help please

Answers

Answer:

Yes your answer is right !

Step-by-step explanation:

steps

X= 3 and y = 7

So first replace [tex]2^{x}[/tex] with [tex]2^{3}[/tex] an that will give you 8

Then 8-Y and so you replace y with 7 and so it becomes

8-7 = 1

So the correct answer is D (1)

Hope this helps

~~Wdfads~~

Classify the following conic section from its standard equation: 4y2 - 6x +16y - 21 = 0.My

Answers

it is a parabolla because only variable is quadratic and the other is linear.

State the number of complex zeros and the possible number of real and imaginary zeros for each function. Then find all zeros. show all work

Answers

We have a cubic function

[tex]f(x)=x^3-3x^2-47x-87[/tex]

One way to find all the zeros is by factoring, we can easily find the first zero using the divisors test if we have an independent term, at our case it's -87, one of the divisors may be a zero. The divisors of -87 is 1, 3, 29 and 87.

If we check for all of the divisors we will see that -3 is a zero. (Check with both signals).

If -3 is a zero, the D'Alembert theorem tells us that f(x) is divisible by (x+3), if we do that division we'll have a quadratic function where we can just apply the quadratic formula, then

There's a theorem that says that, if f(a) is a zero, i.e f(a) = 0, and f(x) is a polynomial, then f(x) is divisible by (x-a), in other words, we can divide f(x) by (x-a) and the rest of the division will be 0.

Therefore, let's divide our function by (x+3)

Then we can write our function as

[tex]f(x)=(x+3)(x^2-6x-29)[/tex]

Look that now we have a quadratic function, and we can easily find its zeros, applying the quadratic formula

[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]

We have a = 1, b = -6 and c = -29. Then

[tex]\begin{gathered} x=\frac{6\pm\sqrt[]{36+4\cdot29}}{2} \\ \\ x=\frac{6\pm\sqrt[]{156}}{2} \\ \\ x=\frac{6\pm2\sqrt[]{38}}{2} \\ \\ x=3\pm\sqrt[]{38} \end{gathered}[/tex]

Now we have all the zeros of f(x), it's

[tex]\begin{gathered} x=-3 \\ \\ x=3+\sqrt[]{38} \\ \\ x=3-\sqrt[]{38} \end{gathered}[/tex]

As we can see there's no complex zero, all the zeros are real numbers.

The max number of complex zeros is 2 because the complex zeros always come in pairs, so if we have 1 complex zero, automatically we have another, for a 3-degree equation, there's a maximum of 2 complex zeros and 1 real zero, or all the of them are real.

Then the correct answer is A)

The function table below is intended to represent the relationship y=-2x-5. However, one of the entries for y does not correctly fit the relationship with x.

Answers

x = 1 , f(x) = -2•1 - 5 = -7

Then it doesnt corresponds to f(1) = 6

Answer is OPTION E)

determine the orderd pair (8,-3)is a solytion to the linear pair

Answers

To answer this question, we need to evaluate if the ordered pair forms an identity with both equations. We need to substitute the values for x = 8, and y = -3 in both equations:

[tex]\frac{x}{2}+5y=-11\Rightarrow\frac{8}{2}+5(-3)=-11\Rightarrow4-15=-11\Rightarrow-11=-11[/tex]

These values result in an equality in this equation. We need to evaluate the other equation:

[tex]6x-\frac{y}{6}=40\Rightarrow6\cdot(8)-(\frac{-3}{6})=40\Rightarrow48+\frac{1}{2}=\frac{97}{2}\ne-11[/tex]

In this case, the values do not result in an equality in one of both equations.

Therefore, we have that the correct answer is the option B:

No, the proposed solution does not result in an equality in one of the two equations.

What is the equation of the line below in slope-intercept form?(4 Points)x-3y = 6y =- 2y = 3x - 2y = - ** - 2y = -3x - 2

Answers

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

Let's make y the subject of the equation.

[tex]\begin{gathered} x-6=3y \\ y=\frac{x-6}{3} \\ y=\frac{1}{3}x-\frac{6}{3} \\ y=\frac{1}{3}x-2 \end{gathered}[/tex]

The correct option is A

Solve the following addition and subtraction problems.3 km9hm9dam19 m+7km2 dam5sq km95 ha8,994sq m+11sq km11 ha9,010sq m44m−5dm72km47hm2dam−11 km55hm

Answers

As a well accepted rule to solve this problem, we would transform all values to the lower units.

so for the first question:

3 km 9hm 9 dam 19 m + 7 km 2 dam

3,000 m 900 m 90 m 19 m + 7,000 m 20 m

= 4,009 + 7,020

= 11,029 m

The second question:

5 sq.km 95 ha 8,994 sq.m + 11 sq.km 11 ha 9,010 sq.m

5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq 9,010 sq m

= 5,103,994 sq m + 11,119,010 sq m

= 16,223,004 sq m

The third question:

44 m - 5 dm

44 m - 0.5 dm

= 43.5 m

The fourth question:

72 km 47 hm 2 dam - 11 km 55 hm

72,000 m 4,700 m 20 m - 11,000 m 5,500 m

= 76,720 m - 16, 500 m

= 60,220 m

What is the divisibility rule for 4
A. Last two digits divisible by 4
B. Add all of the digits and divide by 4
C. Last 3 digits divisible by 4
D. Even number​

Answers

Answer :- A) Last two digits divisible by 4.

The triangles are similar, solve for the question mark. A Z с ? 15 10 12 B X D E 8 8 18 12.5 0 24

Answers

Answer:

18

Explanation:

The triangles are similar if their sides are proportional. It meant that the ratio of AB to CD is equal to the ratio of AE to CE, so we can write the following equation:

[tex]\begin{gathered} \frac{AB}{CD}=\frac{AE}{CE} \\ \frac{15}{10}=\frac{AE}{12} \end{gathered}[/tex]

So, we can solve for AE as:

[tex]\begin{gathered} \frac{15}{10}\cdot12=\frac{AE}{12}\cdot12 \\ 18=AE \end{gathered}[/tex]

Therefore, the measure of AE is 18

Suppose you are in a restaurant and the menu is as follows: 5 beverages, 11 appetizers, 9 main courses, and 3 desserts. Impose the condition that exactly one choice must be made from each category. How many
distinguishable meals can be created?

Answers

Answer:

1485

Step-by-step explanation:

The answer is found by multiplying how many of each of the categories there are;

5 × 11 × 9 × 3 = 1485

Select all the correct locations on the image.Which statements are logically equivalent to (p q)?

Answers

-(p ∧ q ) is logically equivalent to

-pv-q

Which statement about the graph below is true?

Answers

Answer:

a. The relation is a function because every input has an output.

Step-by-step explanation:

a relation in which for every input there is exactly one output (for every x there is just one y)

quizlet

Answer:

A. The relation is a function because every input has an input

Step-by-step explanation:

A relation is a function as long as there are not multiple outputs for one input. It's okay if there are multiple inputs for one output, like we can see here with points (-6, 1) and (2, 1).

Another way to test if a graphed relation is a function is the vertical line test. Draw vertical lines at multiple spots on the graph and if any of the vertical lines touches 2 points, the graphed relation is not a function.

:)

hey there mr or ms could you please help me out here?

Answers

The two triangles have a common side, RQ.

Also, given the two sides (left and right) are equal.

Also, the angle between the two sides (one side given and bottom side) is given as 90 degrees.

Thus,

we have

2 sides AND 1 angle congruent in each triangle

That is:

Side-Angle-Side, which is

SAS

THe triangles are congruent according to SAS, option B

Options for this are: 20 of the best selling cameras, same photographer, 100 pictures with each camera, consistent across all cameras 10 point scale, two were from companies who are major advertisers

Answers

It is given that:

A writer for a magazine recently did a test to determine which mid-range digital camera takes the best pictures. Her method is described below.

Which part of the method describes an area of potential bias?

She gathered 20 of the best.selling cameras and used the same photographer to take 100 pictures with each camera .She ensured that the environment and the subject of each picture were consistent across all cameras and used a 10.point scale to determine picture quality. Of the cameras tested, two were from companies who are major advertisers in the magazine.

Now if the reading is done carefully, it can be concluded that the information given by:

"Of the cameras tested, two were from companies who are major advertisers in the magazine." can be considered for a potential bias since the magazine may be pressured by these two companies to give them a higher rating than they deserve.

So the option:two were from companies who are major advertisers is correct.

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