Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.

Answers

Answer 1

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

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

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.


Related Questions

How can 26n−7m+4(10n−6m) be rewritten?

Answers

Answer:

66n-17m

Step-by-step explanation:

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

Answer:

66n - 31m

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

26n - 7m + 4(10n - 6m)

Step 2: Simplify

[Distributive Property] Distribute 4:                                                                 26n - 7m + 40n - 24mCombine like terms (n) [Addition]:                                                                   66n - 7m - 24mCombine like terms (m) [Subtraction]:                                                             66n - 31m

To which character in Seedfolks does Paul Fleischman assign the most personal perspective on gardening?

Kim
Wendell
Ana
Gonzalo

Answers

The character in Seedfolks to whom Paul Fleischman assigned the most personal perspective on gardening is:

KimWhat was the plot of the story?

The plot reveals a formerly lonely setting that would be gradually turned into a bubbling garden by the characters.

Kim, a nine-year-old Vietnamese girl was assigned the most personal perspective because she planted her Lima beans in the garden to strike a connection with her late father who she did not know on a personal basis.

Learn more about the plot of a story here:

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Answer:

a edge 2023

Step-by-step explanation:

What is the area of the parallelogram below? Use the formula A = bh. 8 ft 13 ft​

Answers

Answer:

Step-by-step explanation:

i think its 104

Find the arithmetic mean of the sales per day in a fair price shop in a week.
Rs 10000, Rs 10250, Rs 10790, Rs 9865, Rs 15350, Rs 10110.​

Answers

Answer:

11060.83

Step-by-step explanation:

Sum = 10000 + 10250 + 10790 + 9865 + 15350 + 10110

= 66365

No. of days (N) = 6

Arithmetic mean = Sum/ N

= 66365/6

= 11060.83

Step-by-step explanation:

sum =Rs 10000+ Rs 10250+ Rs 10790+Rs 9865+ Rs 15350+Rs 10110.=rs66365

n=6

mean=sum/n=rs66365/6=11060.833

someone do this pls help?

Answers

It’s easy for the first one you add 10 each time

ans.................

Suppose that 20% of voters are in favor of a certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is estimated. How many voters should be polled so that the probability is at least 0.95 that fA(n) differs from 0.20 by less than 0.02?

Answers

Answer:

8000 voters

Step-by-step explanation:

E is the difference between probability that is real and those which are estimated

Sd² = p(1-p)

When solve this, using the formula in the attachment,

0.95 = 1-0.2(0.2)²/n(0.02)

0.95 = 1 - 0.16/n(0.02)²

1-0.95 = 0.16/n(0.02)²

0.05 = 0.16/0.0004n

We cross multiply here

0.05 x 0.0004n = 0.16

0.00002n = 0.16

Divide through by 0.00002 to get n

n = 8000

This is the number of voters that should be polled

The Smith family has $1500 set aside for upgrades in their kitchen. The contractor charges
a $225 materials fee plus $75 per hour. Write and solve an inequality to find the possible
numbers of hours that they can use the contractor.

Answers

Answer:

$225 + $75x ≤ $1500

x ≤ 17

Step-by-step explanation:

The Smith family has $1500 spending limit and no more.

The initial fee is $225 in labor so we must deduct that from the current total of money left to spend.

$1500 - $225 = $1275

Then we can simply divide the amount leftover with the hours the contractor works.

$1275 ÷ $75 = 17

The inequality is $225 + $75x (x being the amount of hours the contractor works) ≤ (equal to or less than simple identifying that $1500 can be spent but no more than that.) $1500

The cost to rent the school is $200. The student council has a goal to raise $350 after paying the rental fee. How many students will need to attend the activity night for the student council to par for the rental fee and reach their goal

Answers

Answer:

110 students

Step-by-step explanation:

Let the total money raised = R ($)

Let the number of student = x

Proposed ticket cost to activity night = $5

(a) R = 5x

    x = R/5----------------------------------------------- (1)

(b)  Total money to be raised to pay for rent  of $200 and have a left over of  $ 350 is = $(200 + 350)

           R    = $ 550

Substituting the value of R in equation (1), the number of student (x) can be found:

x = R/5

 = 550/5

= 110 students

The student council must sell 110 tickets to students in order to achieve their goal.

CAN SOMEBODY PLEASE HELP ME!!

Answers

Answer:

2,2   2,7   5,7

Step-by-step explanation:

Need help question #1. Show steps please

Answers

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

EFGH is translated 3 units to the left and 7 units up.
у
1
-1
1 2
4
5
6 7 8 x
E4,-1)
H(
6-2)
2 F10,-3)
-3
G(2, 4)
-5
6
-7
What are the coordinates of H'?

Answers

Answer:

B: 3, 5

Step-by-step explanation:

Lol, literally just took the test on Ap3x right now

A car is traveling at a constant speed of 60 miles per hour. How many feet does it travel in 10 seconds? Remember that 1 mile is 5280 feet.

Answers

Answer:

The answer is 198 feet.

Step-by-step explanation:

You convert 45 miles/ hour to feet/ hour:

45 × 5,280 = 237,600 feet/ hour

Now you  remember that there are 60 minutes in an hour, and 60 seconds in a minute. We divide 237,600 feet per hour by 60 to get feet/ minute:

237,600 ÷ 60 = 3,960 feet per minute

You just have to divide 3,960 by 60 to get back to feet/ second:

3,960 ÷ 60 = 66 feet per second

Now you know how fast the car can travel (in feet) in a second. Now to find out how many feet it travels in 3 seconds, you just multiply 66 by 3:

66 × 3 = 198 feet which is the final answer.

Answer: 880

Step-by-step explanation: We use unit rates to convert miles per hour to feet per second

60 miles/ hour × 5280 feet/mile × 1 hour/ 60 minutes × 1 minute/ 60 seconds = 88 seconds

So the distance in 10 seconds is 10×88 = 880

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

Answers

Answer:

A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

Step-by-step explanation:

Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

We have given that,

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.

We have to determine that,

a change to Natasha's survey process would make the data more reliable.

What is random selection?

Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.

Randomly select the sample in the lobby of the building

So workers who do not enter the cafeteria can be included.

Therefore the correct option is A.

Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

To learn more about the random sample visit:

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WILL MARK B!
Please I need help I have a quiz

Answers

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]

<=> x = 0 (because x 《 2)

e)

[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]

<=> x = -1/4

Answer:

[tex]a) [x: - \infty < x < \infty ][/tex]

[tex]b)[x: - 1][/tex]

[tex]c) [x:- \frac{5}{3} ][/tex]

[tex]d) [x: 3, 0][/tex]

[tex]e) [x: - \frac{1}{4} ][/tex]

925 at 2% for 2.4 years

Answers

Answer:

Step-by-step explanation:

O Fabiola's special seasoning mix has three ingredients. The recipe uses 5 parts
thyme, 3 parts parsley, and 1 part green onion. If she is making 45 tbsp of the
mix, how many tbsp of parsley does she need?

Answers

Answer:

i think that will be 27 because thats 3/5 of the total

Step-by-step explanation:

tell me if i got it right or wrong no hate

Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals

Answers

Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

In a survey of consumers aged 12 and​ older, respondents were asked how many cell phones were in use by the household.​ (No two respondents were from the same​ household.) Among the​ respondents, answered​ "none," said​ "one," said​ "two," said​ "three," and responded with four or more. A survey respondent is selected at random. Find the probability that​ his/her household has four or more cell phones in use. Is it unlikely for a household to have four or more cell phones in​ use? Consider an event to be unlikely if its probability is less than or equal to 0.05.
​P(four or more cell ​phones)
​(Round to three decimal places as​ needed.)

Answers

Consider an event to be unlikely if its probability is less than or equal to 0.05.
204+287+376+137+130=1134

130/1134= .115


No​, because the probability of a respondent with four or more cell phones in use is greater than 0.05.

A pink-and-green spinner landed on pink 14 times and on green 56 times. Based on experimental probability, how many of the next 65 spins would you expect to land on pink?

Answers

Answer:  13

=========================================================

Explanation:

Based on the results so far, the experimental or empirical probability of landing on pink is 14/(14+56) = 14/70 = 1/5.

You simply divide the number of pink (14) over the number total (14+56=70) to arrive at that fraction. After reducing, we get 1/5 meaning that 1 out of every 5 spins we arrived on a pink space.

If this pattern holds up, then we expect (1/5)*65 = 13 additional occurrences of pink on the next 65 spins.

Note how 13/65 = 1/5.

plz help. 100 points!!!

Answers

Answer:

I think you need to subtract by whatever you divide it by.

Step-by-step explanation:

^^^

Answer:

I AGREE!! :))

Step-by-step explanation:

In July 2005, the internet was linked by a global network of about 353 million host computers. The number of host computers has been growing approximately exponentially and was about 37.1 million in July 1998. (a) Find a formula for the number, N, of internet host computers (in millions of computers) as an exponential function of t, the number of years since July 1998, using the continuous exponential model N ( t )

Answers

Answer:

[tex]N(t) = 37.1(1.38)^t[/tex]

Step-by-step explanation:

Exponential function:

An exponential function has the following format:

[tex]N(t) = N(0)(1+r)^t[/tex]

In which N(0) is the initial value and r is the rate of change, as a decimal.

37.1 million in July 1998

This means that [tex]N(0) = 37.1[/tex]

So

[tex]N(t) = 37.1(1+r)^t[/tex]

In July 2005, the internet was linked by a global network of about 353 million host computers.

This is 2005 - 1998 = 7 years, so [tex]N(7) = 353[/tex]. We use this to find r.

[tex]N(t) = 37.1(1+r)^t[/tex]

[tex]353 = 37.1(1+r)^7[/tex]

[tex](1+r)^7 = \frac{353}{37.1}[/tex]

[tex]\sqrt[7]{(1+r)^7} = \sqrt[7]{\frac{353}{37.1}}[/tex]

[tex]1 + r = (\frac{353}{37.1})^{\frac{1}{7}}[/tex]

[tex]1 + r = 1.38[/tex]

The formula is:

[tex]N(t) = 37.1(1.38)^t[/tex]

if a ferris wheel at the fair has a radius of 18 ft how far will you travel after 8 trips around the ferris wheel

Answers

The answer is 113.1 (rounded) 113.097 (not rounded)

The formula is 2 π r

Plz help me thanks. :) mm

Answers

Answer:

A. 72×9=1/8

Step-by-step explanation:

the other two are decimals so it is A

Hope this helps!!

you randomly choose a marble from a jar. jar contains 4 red marbles, 10 blue marbles , 7 green marbles, and 6 yellow marbles.find the probability of the event
1) choosing a green marble
2) not choosing a blue marble
3) choosing a yellow marble

Answers

Answer:

27 total marbles.

1. 7/27

2. 17/27

3.6/27

What is x(3x+2)?Please give a reasonable explaination and answer.

Answers

Answer:

3x squared + 2x as you multiply everything in the bracket by what's on the outside of the bracket so it would be 3x multiply by x which equals 3x squared and 2 multiply x which equals 2x

Answer:

3x^2+2x

Step-by-step explanation:

multiply each of the two terms by x using the distributive property

Help plzzzzzzzzhwhehdhd

Answers

Answer: d, eight and fifty-three thousandths

Step-by-step explanation:

The number before the decimal place in the units column is a whole number (8).

The numbers after (.053) are thousandths because the whole number (8.053) consists of 4 numbers the same way a 1000 does.

Sorry I found the last bit harder to put into words, but I hope it helps :)

Show your work: x - 2 = -8

Answers

You’re trying to solve for x. So the problem is telling you that (x - 2) is going to give you -8.

So an easy way to do it is just to the opposite of the equation. So since your subtracting the first way....you add

-8 + 2 = -6
X= -6

If the scale factor of Figure A to Figure B is 7:2 find the perimeter of Figure A.

Answers

Could you attach the photo

Which of the following BEST describes an irrational number?

A.
a number that is a square root

B.
a number that is less than zero

C.
a number that cannot be approximated by a decimal

D.
a number that cannot be written as the ratio of two integers

Answers

Answer:

the correct answer is D

explanation:

An irrational number can be expressed as a ratio of two integers. hope this helps

What classification of quadrilateral is show? Explain

Answers

it has 4 sides (i think)
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