Find the slope and the y-intercept of the equation below:

1. 4x-3y=12
2. 2y=6x-12

if you can put the step please do so. Tysm.

Answers

Answer 1

Answer:

m = 4/3; b = -4m = 3; b = -6

Step-by-step explanation:

In each case, solve for y. You do this by getting the y-term by itself, then dividing by the coefficient of y.

1.

  -3y = -4x +12 . . . . . subtract 4x

  y = 4/3x -4 . . . . . . . divide by -3

The slope is 4/3; the y-intercept is -4.

__

2.

  y = 3x -6 . . . . . . divide by 2

The slope is 3; the y-intercept is -6.

_____

Additional comment

Whatever you do to one side of the equation, you must also do to the other side. When we say "subtract 4x", that means 4x is subtracted from both sides of the equation. The reason for doing that in the first equation is to eliminate the 4x term from the left side.

(Sometimes, you may see operations described as "move ...". There is no property of equality called "move." There are addition, subtraction, multiplication, division, and substitution properties of equality. Any equation solving process will make use of one or more of these.)


Related Questions

Find the area of the parallelogram.



48 square m
20 square m
30 square m
40 square m

Answers

The answer is 40 square m

Help? If im given the option ill give you brainliest!

Answers

Answer:

Look at photo for answer, I have not done a piecewise function for a long time... so double check my work.

Step-by-step explanation:

A rectangle has a width of 5 inches and a length of 9 inches. What will be the new dimensions of the rectangle after it is
dilated by a scale factor of 3?
O 8 inches by 12 inches
O 15 inches by 9 inches
O 15 inches by 27 inches
O 45 inches by 81 inches
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

the third one

Step-by-step explanation:

iiiieeeeew edgeuinty

Answer:

15 inch. By 27 inch.

Step-by-step explanation:

How many solutions does the system of equations below have?
4x + 10y = –7
–3x + 9y = –14
No solution
One solution
Infinitely solutions

Answers

Answer:

There is one solution to this system of equations

Step-by-step explanation:

When solving, there is a specific point of intersection which is (7/6,-7/6), making the answer one solution.

I need help with this math help please!

Answers

Answer: R= 7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf t = 7}[/tex]

Step-by-step explanation:

-8 (4 - t) = 24

-32 + 8t = 24

Add 32 to both sides

8t = 24 + 32

8t = 56

Divide both sides by 8

t = 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A grocery worker is checking for broken eggs in egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results, what can the worker predict about the rest of the cartons of eggs?

Answers

Answer:a grocery worker is checking in for broken eggs in a cartoons 12 x 4 c 9

Step-by-step explanation:

divide (3x^3 + x2 – 4) by (x + 2).

Answers

Answer:

[tex](x+2)(3x^3-5x-10)[/tex]

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

Dr. W Sweet Rides Car Rental charges a flat fee of $24 and an additional $0.35 for every mile the car is driven. Which function models the total cost, C(x), of renting a car for x miles?
If you drive 40 miles, how much can you expect to pay?

Answers

Step-by-step explanation:

this is a strange rental company charging no daily fees.

but ok.

so, we have a fixed part of the cost : $24

we have to pay that no matter how many miles we drive. even for 0 miles, just to get the keys to the car.

and then we pay $0.35 for every mile driven.

that makes our function

C(x) = 0.35x + 24

and if we drive 40 miles, that makes x = 40.

C(24) = 0.35×40 + 24 = 14 + 24 = $38

it would cost us $38.

f(x)=8x^3+125 find the zeros

Answers

Answer:

x = -5/2, (5+5i√3)/4, (5-5i√3)/4


Using the scale 1/2 inch = 100 miles, figure out the number
of actual miles represented by 1/4 inches.

Answers

Answer:

  50 miles

Step-by-step explanation:

Multiply the given scale numbers by 1/2 to find your answer:

  1/2 in = 100 mi

  (1/2)(1/2 in) = (1/2)(100 mi) . . . . multiply the ratio values by 1/2

  1/4 in = 50 mi

Angad was thinking of a number. Angad subtracts 5.1 from the number and gets an answer of 33.5. Form an equation with
x
from the information

Answers

I guess x - 5.1 = 33.5 would work

A group of 120 seventh- and eighth-grade students were asked whether they participate in sports or in nonâ€"sports-related activities. The two-way table shows their answers. Participation in Sports or Non-Sports A 4-column table with 3 rows. The first column has no label with entries seventh grade, eighth grade, total. The second column is labeled sports with entries 39, 29, 68. The third column is labeled non-sports with entries 24, 28, 52. The fourth column is labeled total with entries 63, 57, 120. Which statement is correct? Twenty-nine seventh-grade students chose a sports activity. Twenty-eight eighth-grade students chose a sports activity. Twenty-four seventh-grade students chose a non-sports activity. Thirty-nine eighth-grade students chose a non-sports activity.

Answers

The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity

The entries are given as:

                           Sports       Non Sports          Total

Seventh Grade:     39              24                    63

Eighth Grade:        29              28                    57

Total                       68              52                   120

From the above entries, we have the following highlights:

39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.

From the above highlights, we can conclude that the following statement from the options is true

(c) twenty-four seventh-grade students chose a non-sports activity

Read more about data representation at:

https://brainly.com/question/1592223

Answer:

c)

Step-by-step explanation:

A parallelogram with a diagonal drawn through it is shown below.



Arlen is trying to prove that RS ≅ TU, but is unable to come up with one of the lines of the proof.

STATEMENTS REASONS
RSUT is a parallelogram Given
∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST If parallel lines are cut by a transversal, alternate interior angles are congruent.
ST ≅ ST Reflexive Property
ΔRST ≅ΔUTS ???
RS ≅ TU Corresponding parts of a congruent triangle are congruent.


What is the missing reason in the proof?

Answers

Arlen already established that ΔRST and ΔUTS has two pairs of congruent angles and a pair of congruent included sides, which meet the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

What is the ASA Congruence Criterion?

The ASA Congruence Criterion states that for two triangles to be considered congruent to each other, both triangles must have a pair of congruent included sides and two pairs of congruent angles.

Thus, the two-column proof that shows that RS ≅ TU that Arlen is trying to write, has already established that ΔRST and ΔUTS has the following:

Two pairs of congruent angles - ∠RST ≅ ∠UTS and ∠RTS ≅ ∠UST.

A pair of congruent included sides - ST ≅ S.

These satisfy the ASA Congruence Criterion. Therefore:

the missing statement in the proof is: ΔRST ≅ ΔUTSthe missing reason in the proof is: ASA Congruence Criterion

Learn more about the ASA Congruence Criterion on:

https://brainly.com/question/11637992

2. A small university is trying to monitor its electricity usage. For a random sample of
30 weekend days (Saturdays and Sundays), the student center used an average of 94.26 kilowatt hours (kWh) with standard deviation 43.29. For a random sample of 60 weekdays, (Monday - Friday), the student center used an average of 112.63 kWh with standard deviation 32.07.(Please show work)

a) Test, at the 5% level, if significantly more electricity is used at the student center, on average, on weekdays than weekend days. Remember to check the conditions, identify the hypotheses, define your parameter, find the test statistic, find the p-value, and give a conclusion in context.

b) Construct a 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days. Use two decimal places in your margin of error.

Answers

Using the t-distribution, it is found that:

a) Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

b) The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

Item a:

At the null hypothesis, it is tested if there is no difference, that is, the subtraction is at most 0, hence:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is, the subtraction is positive, hence:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

The standard errors are given by:

[tex]s_1 = \frac{32.07}{\sqrt{60}} = 4.14[/tex]

[tex]s_2 = \frac{43.29}{\sqrt{30}} = 7.9[/tex]

The distribution of the difference has mean and standard deviation given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 112.63 - 94.26 = 18.37[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{4.14^2 + 7.9^2} = 8.92[/tex]

The standard deviation are given for the samples, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the hypothesis.

Hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{18.37 - 0}{8.92}[/tex]

[tex]t = 2.06[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05 and 30 + 60 - 2 = 88 df is [tex]t^{\ast} = 1.66[/tex]

Since the test statistic is greater than the critical value for the right-tailed test, it is found that there is enough evidence to conclude that significantly more electricity is used at the student center, on average, on weekdays than weekend days.

Item b:

The interval is:

[tex]\overline{x} \pm t^{\ast}s[/tex]

Hence:

[tex]\overline{x} - t^{\ast}s = 18.37 - 1.66(8.92) = 3.56[/tex]

[tex]\overline{x} + t^{\ast}s = 18.37 + 1.66(8.92) = 33.18[/tex]

The 95% confidence interval for the difference in mean electricity use at the student center between weekdays and weekend days is (3.56, 33.18).

A similar problem is given at https://brainly.com/question/25812826

PLEASE HURRY. WILL GIVE BRAINLIEST. 100pts

Answers

Answer:

a - 4/11

b - 11/30

c - 9/25

Step-by-step explanation:

have a lovely day <3

Answer:

a b c

Step-by-step explanation:

hope it helps

Estimate the quotient .
pls help me
19 4/5 ÷ 4 5/8

Answers

Answer: The quotient is 4 52/185, which rounds to 4.

Explanation is in the image.

Answer the questions below to find the total surface area of the can. (55 points, help fast)

Answers

Answer:

Hope this helps

Step-by-step explanation:

first question --> area of circle ---> [tex]\pi r^{2}[/tex] ---> [tex]1.5^{2} \pi[/tex] ---> [tex]2.25\pi[/tex]

second question --> unclear quetion but I assume 4?

third question --> area of cylinder --> [tex]r^{2} \pi h[/tex] --> [tex]2.25\pi h[/tex] --> [tex]2.25\pi 4[/tex] --> [tex]9\pi[/tex]

h --> height

r --> Radius

[tex]\pi[/tex] --> pi

The total surface area of the can is 61.23 square inches

How to calculate the total surface area of a can

The formula for calculating the total surface area of a can is expressed as:

S = 2πr(r+h)

where:

h is the height

r is the radius

Given the following parameters

h = 5in

r = 1.5in

S = 2(3.14)(1.5)(1.5 + 5)

S = 6.28(1.5)(6.5)

S = 61.23 square inches

Hence the total surface area of the can is 61.23 square inches

Learn more on total surface area  here: https://brainly.com/question/16997207

The volume of a cube is 2744mm3.
What is the length of its side?

Answers


x^3 = 2744
x = 3root2744
x = 14mm

jim writes 10/4words evry day how many words does he write in 10/3 days

Answers

Answer:

10/4 per day (2.5 words simplified)

10/3 days he wrote so far (around 3 days simplified)

so in order to find out how much he wrote in total multiply the two numbers together

2.5 x 3 = around 7.5 or 8 words

Find the domain of function F defined by
F(x) =1/√|x-1|

Answers

Answer:

Therefore, |x-1|>0

=> (x-1)>0 or - (x-1)>0

=> x > 1 or x < 1

=> (- infinity, 1) U (1, infinity)

Hey! i need some help with a math question if anyone doesn't mind helping-
35 = 4x + 7
yes, this is a very simple equation but i have the brain of a 5th grader lol.

Answers

ANSWER: 7

EXPLANATION:
35=4x+7
4x=35-7
x=28/4
x=7

Can I get the brainliest please
The answer is 7
You do 7 minus 35 then divide it by 4

PLEASE HELP!!!!
Select the correct answer from each drop-down menu.
Consider the end behavior of this function, and then complete the statements.
h(x) = -1/5|x – 3|+ 4

See in picture below

Answers

Answer:

See below

Step-by-step explanation:

As x approaches negative infinity, h(x) approaches negative infinity

As x approaches positive infinity, h(x) approaches negative infinity

I've attached a graph to show why these two are true. Remember that in an absolute value function, the result is always positive. However, because there's a negative constant multiplying the absolute value function, this flips the graph over the x-axis and the result is now always negative. In other words, no matter how big or small x is, y will always get smaller.

HELP ! Will give brainliest

Answers

Answer:

look it up thats what i do

Step-by-step explanation:

1 is increasing because its going up, 2 is constant since it doesn’t move anywhere, 3 is decreasing because its going down , 4 is constant not moving anywhere like 2 and 5 is decreasing going down graph is non- linear

In 2012, New York had a population of about 19 million people,
and Vermont had a population of about 626,000 people. What
is the difference in populations between New York and
Vermont?
A) 13.4 x 106
B) 1.8374 x 107
C) 1.34 x 107
D) 1.7964 x 107

Answers

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.

Answers

The amount that should deposit monthly is $164.98

The formula for calculating the compound amount is expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)

Substitute the given values into the formula to have:

[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]

Hence the amount of money they started with is $19,524.89.

Amount to deposit monthly = 19,524.89/120

Amount to deposit monthly = $164.98

Hence the amount that should deposit monthly is $164.98

Learn more on compound interest here: https://brainly.com/question/24274034

Val has 3/4 gallon of milk. He gives 1/2 of it to a friend. How many gallons of milk does Val have left

Answers

Step-by-step explanation:

given, ¾-½= ¼gallon milk.

hope this helps you.

answered it NO LINKS AND NO WEBSITES I really need help with this, and also if it's Substitution or linear combination and it's half solved. ​

Answers

Answer:

y=6+8

y=14

Step-by-step explanation:

y=14 is the answer to this question

Help pls + brainliest

Answers

Answer:

Letter C.

Step-by-step explanation:

Lap 1 be x

Lap 2 be y

Line graph: plot the values, and will get C.

4 km
3 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С:
kilometers

Answers

Answer:

5km

Step-by-step explanation:

The formula for hypotenuse is

a squared + b squared = c squared,

4 squared is 16, and 3 squared is 9.

16+9 = c squared

25 = c squared

However, you don't want it to be squared, so you have to find the square root of 25, which is 5.

help pls the image below represents ____

Answers

Answer:

I think it's a Box Plot, hope this helps

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