(1,2) and parallel to 3x+4y=12

Answers

Answer 1

Answer:

y=-3/4x+10/4

Step-by-step explanation:

1) Change given equation to slope intercept form:

3x+4y=12

4y=12-3x

y=3-(3/4)x

y=-(3/4)x+3

2) Parallel lines have the same slope, so the first part of the equation is:

y=-(3/4)x+b

3) To find b, we plug in y=2 and x=1 given the prompt:

2=-(3/4)(1)+b

2=-3/4+b

2 3/4=b

10/4=b

4) Therefore, the correct equation is:

y=-3/4x+10/4


Related Questions

Ruth got to the library at 1030 am.
She stayed at the library for 50 minutes.
Then she walked home.
Ruth took 1 1/4 hours to walk home.
(b) At what time did Ruth get home?

Answers

Answer:

She got home at 12:35 P.M.

Step-by-step explanation:

She got to the library at 10:30 am.

She spent 50 minutes there

10:30 + 50 mins can be seperated to 30 mins and 20 mins

So, 30 mins goes to 11 and 20 mins more equals 11:20.

She took 1 1/4 hours to get home

1 hour more means 12:20, and since 1/4 of an hour is 15 mins,

12:20 + 15 = 12:35 P.M

hope this helped!

true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded

Answers

The answer is false

Les had $32.00 when he went to the city Market to buy some fresh fruits and vegetables. When he left, he had $23.05. How much money did he spend on food?​

Answers

Answer:

$8.95

Step-by-step explanation:

Which shows two expressions that are equivalent to (-8)(-12)(2)?

Answers

It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 so therefore your answer is c. Hopes this helps have a good one.plz mark BRAINLIEST

The solution is option C.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

(-8)(-12)(2)

=96*2

=192

so. we get,

It would be c because when you multiply 8 and 12 you get 96 and when you multiply 96x2 you get 192 .

so, therefore your answer is c.

To learn more on multiplication click:

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Brian is playing a carnival game. He is blindfolded while he throws a dart at a board of 12 balloons, as shown below. Each balloon is labeled "S" for small, "M" for medium, "L" for large, or "XL" for extra-large. The board has 3 small balloons, 5 medium balloons, 2 large balloons, and 2 extra-large balloons. He hits one of the balloons at random and wins a stuffed animal of that size.

Answers

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Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?

Answers

Answer:

[tex]P(F/E) = 0.6[/tex]

Step-by-step explanation:

If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].

Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:

[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]

Here the two events given are [tex]E[/tex] and [tex]F[/tex].

[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]

and [tex]P(E) = 0.5[/tex]

As per the above formula that we have already discussed, the formula can be written as:

[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]

Also the explanation:)

Answers

Answer:

276 guests were at the wedding.

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{4+5}{12}[/tex] = [tex]\frac{9}{12}[/tex]

1 - [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]

[tex]\frac{1}{4}[/tex] of the guests are 69 guests ⇒ 69 × 4 = 276 guests were at the wedding.

In the equation y=kx, which variable is the constant of proportionality?

Answers

Answer:the variable k is the constant of proportionality

Step-by-step explanation:

This can be proven when the equation is used to find different values of y. To find these different values, the x variable is substituted for different values while the k value stays the same. hope this helps!!

At a certain bakery, the price of each doughnut is $1.50. Let the random variable D represent the number of doughnuts a typical customer purchases each day. The expected value and variance of the probability distribution of D are 2.6 doughnuts and 3.6 (doughnuts)2 , respectively. Let the random variable P represent the price of the doughnuts that a typical customer purchases each day. Which of the following is the standard deviation, in dollars, of the probability distribution of P ? 1.5(3.6) 1.5(3.6) A 1.53.6−−−√ 1.53.6 B 1.5(3.6)−−−−−−√ 1.5(3.6) C 1.5(2.6) 1.5(2.6) D 1.52.6−−−√ 1.52.6 E

Answers

Answer: C ( square root of 1.5 x 3.6)

Step-by-step explanation:

The price for the variance is 3.6 times 1.5. Standard deviation is the square root of variance, so the answer is the square root of 1.5 x 3.6.

The standard deviation expression of the distribution P is √(1.50 × 3.6)

Given the Parameters :

Expected value = 2.6Variance = 3.6 Price per doughnut = $1.50

The price for the variance of the distribution can be written as :

Price per doughnut × Variance

Variance = $1.50 × 3.6

The standard deviation of the distribution D is related to the variance by the formular :

Standard deviation = √variance

Standard deviation = √(1.50 × 3.6)

Therefore, the standard deviation in $ of P will be √(1.50 × 3.6)

Learn more :https://brainly.com/question/18153040

In the past year, Michael watched 14 movies that he thought were very good. He watched 40 movies over the whole year. Of the movies he watched, what percentage did he think were very good?

Answers

He thought 28% of the movies he’s watched were good

Answer:

35%

Step-by-step explanation:

14÷40= 0.35 (35%)

0.35 × 40= 14

Plz Help. Euler Equations are hard!
Find the general solution to the following differential equation.

Answers

An

2 pie/3

Step-by-step explanation:

Which statement describes the effect on the parabola f(x)=2x•x-5x+3 when changed to f (x)= 2x•2-5x+1

Answers

Answer:

The parabola is translated down 2 units.

Step-by-step explanation:

You have the parabola f(x) = 2x² – 5x + 3

To change this parabola to f(x) = 2x² - 5x + 1, you must have performed the following calculation:

f(x) = 2x² – 5x + 3 -2= 2x² - 5x + 1  Expresion A

The algebraic expression of the parabola that results from translating the parabola f (x) = ax² horizontally and vertically is g (x) = a(x - p)² + q, translating in the same way as the function.

If p> 0 and q> 0, the parabola shifts p units to the right and q units up. If p> 0 and q <0, the parabola shifts p units to the right and q units down. If p <0 and q> 0, the parabola shifts p units to the left and q units up. If p <0 and q <0, the parabola shifts p units to the left and q units down.

In the expression A it can be observed then that q = -2 and is less than 0. So the displacement is down 2 units.

This can also be seen graphically, in the attached image, where the red parabola corresponds to the function f(x) = 2x² – 5x + 3 and the blue one to the parabola f(x) = 2x² – 5x + 1.

In conclusion, the parabola is translated down 2 units.

helppppp pleaseee!!

Evaluate the function

Answers

Answer:

10

Step-by-step explanation:

go to mathaway.com and type in the equation and when x=-6. Press show graph and it says 10. The graph is my proof.

What is the inequality of y-2x<=-3

Answers

y>= 2x-3
In inequalities when you are moving a negative, you flip the sign.

58 students on a bus how many students were fit on a six buses

Answers

Answer:

348

Step-by-step explanation:

Amy received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.24 per pound. After buying the coffee, she had $38.80 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

5 pounds

Step-by-step explanation:

Given that:

Amount of gift card = $80

Cost of coffee per pound = $8.24

Amount left in the card = $38.80

To find:

Number of pounds of coffee bought = ?

Solution:

Let the number of pounds of the coffee bought = [tex]x[/tex] pounds

Cost of 1 pound = $8.24

Cost of [tex]x[/tex] pounds = $8.24 [tex]\times x[/tex]

Writing the equation as per question statement:

[tex]80 - 8.24x = 38.80\\\Rightarrow 80 - 38.80 = 8.24x\\\Rightarrow 8.24x = 41.2\\\Rightarrow x = \dfrac{41.2}{8.24}\\\Rightarrow \bold{x = 5\ pounds}[/tex]

Therefore, 5 pounds of coffee was bought.

Use the given x and y values to write a direct variation
equation.
x = 5, y = 25

Answers

Answer:

k= 1/5

Step-by-step explanation:

x is proportional to y

x = ky (k is const.)

k = x/y

k= 5/25

k = 1/5

Answer:

Equation of direct variation is : [tex]\mathbf{y=5x}[/tex]

Step-by-step explanation:

We are given: x= 5 and y=25

We need to write equation of direct variation.

The formula for direct variation is: [tex]\mathbf{y=kx}[/tex]

So, if y=25 and x=5, k will be:

[tex]y=kx\\25=k(5)\\k=\frac{25}{5}\\k=5[/tex]

So, equation of direct variation is : [tex]\mathbf{y=5x}[/tex]

Find a solution to dydx=xy+6x+4y+24dydx=xy+6x+4y+24. If necessary, use kk to denote an arbitrary constant

Answers

Answer:

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Step-by-step explanation:

Given the expression dy/dx=xy+6x+4y+24

To find the solution, we are to make y the subject of the formula as shown

dy = (xy+6x+4y+24)dx

∫dy =∫(xy+6x+4y+24)dx

y = ∫(xy+6x+4y+24)dx

We are to integrate the function with respect to x keeping y constant. Since all constant are brought out if integral sign we will have;

y = ∫(xy)dx + ∫(6x)dx + ∫(4y)dx + ∫24dx

y = y∫xdx + 6∫xdx + 4y∫dx + 24∫dx

Integrate;

y = yx²/2 + 6x²/2 + 4yx + 24x + K

y = yx²/2 + 3x² + 4yx + 24x + K

Hence the solution to the differential expression is;

f(x, y) = yx²/2 + 3x² + 4yx + 24x + K

Where K is the constant of integration.

Of the 30 girls who tried out for the lacrosse team at Euclid middle school 12 were selected . Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls?how do you know?

Answers

Answer:

Yes they are the same i know this because for every 10 girls or boys there are 4 who try out for the team. so for every 10 Boys or Girls there are 4 that will try out for the team. For those wondering the ratio is 4:10

Step-by-step explanation:

Answer:

Yes, when simpilfied or written as a fraction they are equal

Step-by-step explanation:

12:30 = [tex]\frac{12}{30\\ \left \\\}[/tex] = [tex]\frac{4}{10\\}[/tex]

16:40 = [tex]\frac{16}{40}[/tex] = [tex]\frac{4}{10}[/tex]

Find the percent the first number is of the second 7 ft, 7 yd

Answers

Answer:

33 1/3

Step-by-step explanation:

7/21=1/3

1/3*100=100/3

100/3=33 1/3

Find the unit rate from the graph :

Answers

Answer:

1 gift per person

Step-by-step explanation:

The graph here is linear, and it crosses right through values such as (1,1) (2,2) etc. That shows that per person, each one will get 1 gift.

Solve the inequality for u.
4.
u>6
9
Simplify your answer as much as possible.

Answers

Answer:

u ≤ -27/2

Step-by-step explanation:

hope this helps

The polynomial p is a function of x. The graph of p has four zeros at -4, -2/3, 0, and 9
Select all the expression that could represent p.
A
-3x(x + 4)(3x + 2)(x - 9)
B
3x(x – 4) (x + 3)(x +9)
с
3x(x + 4)(2x - 3)(x -9)
D
- x(x + 4) (x + })(x – 9)
E
-3x(x + 4)(3x + 2)(x - 9)2

Answers

It’s c if I’m right can I get branliest

The only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

Given the four zeros of the graph of p are at:

-4, -2/3, 0, and 9

From the options given, the expression in option A will represent a function of a polynomial p with zeros at -4, -2/3, 0, and 9.

Here's why:

[tex]-3x(x + 4)(3x + 2)(x - 9)[/tex] (option A)

Therefore are four factors in the polynomial above which are:

[tex]3x\\\\(x + 4)\\\\(2x - 3), $ and\\\\(x -9)[/tex]

The zeros of polynomial p will be the following:

[tex]3x = 0\\\\x = \frac{0}{3} \\\\\mathbf{x = 0}[/tex]

[tex](x + 4) = 0\\\\\mathbf{x = -4}[/tex]

[tex](3x + 2) = 0\\\\3x = -2\\\\\mathbf{x =-\frac{2}{3}}[/tex]

[tex](x -9) = 0\\\\\mathbf{x = 9}[/tex]

Therefore, the only expression of that can represent polynomial p as a function on a graph having four zeros at -4, -2/3, 0, and 9 is: A. [tex]\mathbf{-3x(x + 4)(3x + 2)(x - 9)}[/tex]

Learn more here:

https://brainly.com/question/3166764

what’s the value of x?

Answers

Answer:

x = -11

Step-by-step explanation:

The sum of the angles of a triangle add to 180

x+50  + 72+  x+80   = 180

Combine like terms

2x + 202 = 180

Subtract 202 from each side

2x+202-202 = 180-202

2x =-22

Divide each side by 2

2x/2 = -22/2

x = -11

Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.

Answers

If this is asking how many craisins. She has 12. Craisins and 24 almonds.

Find the area of the irregular figure.
6 in
7 in.
A = [? ]in.2
5 in.
12 in.
13 in
4 in

Answers

Answer:

155 in

Step-by-step explanation:

Theres honestly no easy way to solve this except using a pencil and a notebook.

Anyways, heres how I did it:

6 times 7=42

17 times 5=85

7 times 4=28

42+85+28=155

g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are

Answers

Answer:

b. Hо : μ ≥ 40.1; Ha : μ > 40.1

Step-by-step explanation:

Note: The complete options to the question is attached as picture below

The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".

So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.

The hypotheses are as below:

Hо : μ ≥ 40.1 (Null hypothesis)

Ha : μ > 40.1 (Alternative hypothesis)

helppppp please I will give brainliest​

Answers

Answer:

y=1/3x-2

Step-by-step explanation:

Solve the system of equations: x + y + z = 5; x - y + 3z = 9; and z = 6.
PLS PLS HELP ME

Answers

x + y + 6 = 5
x - y + 18 = 9

2x + 24 = 14 minus 24
2x = -10 divided by 2
x = -5

-5 + y + 6 = 5
y = 4

A recent study has shown that 10% of computer science concentrators suffer from symptoms of Carpal Tunnel Syndrome. Researchers have developed a diagnostic test for this condition and in a recent trial, the test gave a positive result in 96% of the patients who were known to truly have Carpal Tunnel Syndrome.
a) For an initial version of the diagnostic test, the false positive rate (the percentage of people without Carpal Tunnel who incorrectly test positive) was 44%. If a student received a positive result from this test, what would be the posterior probability that they truly have Carpal Tunnel Syndrome?
b) The researchers believe their test will be practically useful if a positive result implies the student has Carpal Tunnel with at least 75% probability. What is the largest possible false positive rate that would achieve this accuracy target?

Answers

Answer:

1. 0.1951

2. 3.56%

Step-by-step explanation:

Probability of disease = 0.10

Probability of disease and positive = 0.96

1.

Probability of no disease and positive = 0.44

Probability of disease and positive result = 0.10x0.96/0.10x0.96+0.90x0.44

= 0.096/0.096+0.396

= 0.096/0.492

= 0.1951

2.

Probability of disease false positive result

P(disease|positive result)

= (0.10x0.96/0.10x0.96+0.90xP) >= 0.75

= 0.096/0.096+0.90p >= 0.75

We cross multiply

0.096 >= 0.75(0.096+0.90p)

0.096 >= 0.072 + 0.675p

0.096-0.072 >= 0.675p

0.024 >= 0.675p

P <= 0.03555

Therefore the largest possible false positive rate = 0.0356

= 3.56%

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