Mathematics High School

A line has a slope of 5 and a y-intercept of 4 what is the equation in slope intercept form

Write your answer using integers proper fraction and improper fractions in simplest form

Answers

Answer 1
given slope(m) is 5 and y-intercept(b) is 4. so you simply plug in where it belongs into the equation, y = mx + b

y = 5x + 4

hope this helped, God bless!

Related Questions

The opening balance of one of the 31-day billing cycles for Lorenzo's credit card was $4100, but after 15 days Lorenzo made a payment of $2300 to decrease his balance, and it stayed the same for the remainder of the billing cycle. If his credit card's APR is 24%, how much more in interest would he pay for the billing cycle with the previous balance method than with the adjusted balance method? A.$83.57
B.$46.88
C.$36.69
D.$120.26

Answers

Given:
31 days = 7,400
15 days = payment of 4,900
16 days = 7,400 - 4,900 = 2,500

Method 1: 
7,400 * 22% * 31/365 = 138.27

Method 2: adjusted balance
7,400 * 22% * 15/365 =  66.90
2,500 * 22% * 16/365 =  24.11
66.90 + 24.11 =  90.21

138.27 - 90.21 = 48.06

She would pay 48.06 more with the previous balance method than with the adjusted balance method.

Solution:

Adjusted Balance method

Amount in Lorenzo credit card in the beginning of month= $ 4100

Payment made = $ 2300

Amount in Lorenzo credit card after 15 days = $ 4100  -$ 2300= $ 1800

APR= 24 %

Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%

2.03% of 1800=$ 36.54

Previous Balance method:

Amount possessed at the beginning of the month= $ 4100

APR= 24 %

Monthly APR = [tex]\frac{24\times 31}{365}=2.038[/tex]%

2.038% of 4100=$ 83.23

The interest that  Lorenzo would  pay for the billing cycle with the previous balance method than with the adjusted balance method

= $ 83.23 - $ 36.54

= $ 46.69→→ option (B)

The area of circle z is 64 pi ft^2
What is the value of r?

Answers

To find area of a circle, one must perform the equation "pi(r)^2" we have all information but the radius which has become inclusive in the question. To draw out the radius, all you gotta do is defuse 64 into its square root-8. The radius is 8.

we know that

The area of the circle is equal to

[tex]A=\pi r^{2}[/tex]

where

r is the radius of the circle

In this problem we have

[tex]A=64\pi \ ft^{2}[/tex]

substitute in the formula and solve for r

[tex]64\pi=\pi r^{2}[/tex]

Simplify

[tex]64=r^{2}[/tex]

Square root both sides

[tex]r=8\ ft[/tex]

therefore

the answer is

The value of r is [tex]8\ ft[/tex]

what is the coefficient in the expression x / 3 + 7

Answers

1/3 is the coefficient. It's the number that is being multiplied with the variable.

Answer:

The coefficient of x is  [tex]\frac{1}{3}[/tex]

7 is a constant

Step-by-step explanation:

[tex]\frac{x}{3} +7[/tex]

We need to find the coefficient of each term in the given expression

x/3 can be written as 1/3 times x

The coefficient is the number with the variable x

The coefficient of x is [tex]\frac{1}{3}[/tex]

7 is a constant

Determine which equations below, when combined with the equation 3x minus 4y equals 2, will form a system with no solutions. choose all that apply.

Answers

The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:

3x - 4y = 2
3x/2 - 2y = 1

Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6

Irvan bought a drink for $1.90, a sandwich for $ 2.25, and an apple for $.75. What is the total amount of money he spent

Answers

Simply add all the prices together to find the answer.
1.90+.75++2.25=4.90

Wendi worked for $6 an hour for the first month she was on the job. She was then given a raise to $6.24 an hour. What was the percent of her wage increase?

Answers

well 6.24 divided by 6 is 1.04. Her percent of wage increase is 4%
I hope I helped..

Solve for x: 14 = 0.1x 14 140 1.4 .14

Answers

The answer 0.14 is equivalent to 140%. You can check this answer by moving the decimal 3 places to the right. 
Final answer:

The value of x that satisfies the equation 14 = 0.1x is 140.

Explanation:

To solve the equation 14 = 0.1x, we can start by dividing both sides of the equation by 0.1 to isolate x. This gives us 14/0.1 = x, which simplifies to 140 = x. So, the value of x that satisfies the equation is 140.

What is the missing polynomial? ? – (20 – 4x – 5x2) = 20 – 7x2 A. 4x-12x^2 B. 4x-2x^2 C. 40-4x-12x^2 D. 40-4x-2x^2

Answers

The correct answer is C

Katlin divided a fraction by 1/2 the result was a mixed number. was the fraction less than or greater than 1/2? EXPLAIN.

Answers

The fraction was greater than 1/2.

When you divide by a fraction, it is equal to multiplying by its reciprocal. The reciprocal of 1/2 is 2/1, or just 2. Therefore, dividing by 1/2 equals the same thing as when you multiply by 2.

A mixed number has a whole number and a fraction added together. So, the mixed number must be greater than 1.

1/2 is equal to 0.5, and 0.5 multiplied by 2 equals 1. A fraction less than 1/2 multiplied by 2 would equal a number less than 1, while a fraction greater than 1/2 would equal a number greater than 1.

Because a mixed number must be greater than 1, and a fraction greater than 1/2 multiplied by 2 would be greater than 1, the fraction that resulted in a mixed number after being multiplied by 2 must have been greater than 1/2.

what translation rule can be used to describe the result of the composition of (x,y) --> (x - 9,y - 2) and (x,y) --> (x + 1, y - 2) ? PLEASE HELPPPPP!!!!!

Answers

we know that

the rule of the translation A is

[tex](x,y)-----> (x-9,y-2)[/tex]

that means

the translation is [tex]9[/tex] units to the left and [tex]2[/tex] units down

the rule of the translation B is

[tex](x,y)-----> (x+1,y-2)[/tex]

that means

the translation is [tex]1[/tex] unit to the right and [tex]2[/tex] units down

therefore

the rule of the composition A+B is

[tex](x,y)-----> (x-9+1,y-2-2)[/tex]

[tex](x,y)-----> (x-8,y-4)[/tex]

that means

the translation is [tex]8[/tex] units to the left and [tex]4[/tex] units down

so

the answer is

[tex](x,y)-----> (x-8,y-4)[/tex]

Final answer:

The translation rule that describes the result of the composition of the transformations (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2) is (x, y) --> (x - 8, y - 4). This rule is obtained by sequentially applying each transformation to (x, y).

Explanation:

When we talk about compositions of translations in geometry, what we are doing is carrying out one translation after the other. So, if we have two translations: (x, y) --> (x - 9, y - 2) and (x, y) --> (x + 1, y - 2), we perform these operations sequentially.

First, we apply the transformation (x,y) --> (x - 9, y - 2). Then we take these new coordinates and apply the second transformation (x,y) --> (x + 1, y - 2). The result of this composition is (x - 9 + 1, y - 2 - 2) = (x - 8, y - 4), as you add (or subtract) the changes introduced by each translation.

So, the translation rule that can be used to describe the result of the composition of these transformations is: (x, y) --> (x - 8, y - 4).

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chelsea is 4 years older than her brother. translate the verbal description into an equation. use the verbibale c to represent chelsea age and b to represent her brothers age

Answers

You can show it a one of two was: b+4=c or c-4=b.




















=4

What is the answer to the question above? I need help with it.

Answers

Which one is it? I'll try to help if I can find it.
Knowing that the club members have to pay $3,

The equation would be: y=$3x+$30
Where y is the total cost and x is the number of tickets/entry.

Non-club members:

y=$6x+30

Find their intersection to find at what point both members would be pay equally.

$6x+$30=$3x+30 (knowing that their y values should be the same, we can equal them)

6x=3x +30-30
6x-3x=0
3x=0
x=0

Therefore, at 0, both members would be paying the same amount, $30.

Hope I helped :)

Explain how proving two triangles congruent can help prove parts of the triangle congruent.

Answers

You can use the CPCTC (Corresponding Parts of Congruent Triangles are Congruent) property. This means that when two triangles are congruent, all the corresponding parts are congruent to each other.

Have an awesome day! :)
If two triangles are congruent, then everything in the triangle be congruent. If one triangle has an angle of 50, how can the other triangle not have an angle of 50 and not be conguent. Thus if every part of a triangle is congruent, the every individual part is also congruent

Rhea is a freelance writer. She works for multiple clients and has several sources of income. Some of her clients pay her more than $600 for her work. These clients always send a specific form to her where she has to report her gross payments. What form do you think the clients are sending to Rhea?

Answers

a 1099 form is used to report income
they are sending her a 1099 form

A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. a. Which customer will be the first to receive both gift cards?After this customer receives both gift cards, what is the total amount in gift cards that the store has given away?

Answers

To find the answer you need to find the common factor of numbers 25 and 60

25,50,75,100,125,150,175,200,225,250,275,300

60,120,180,240,300

The 300th customer will receive both cards, and a total of $220 and 17 gift cards were given away.

Make t the subject of the formula 2(t-5) = y

Answers

2(t-5) = y
t - 5 = y/2
t = y/2 + 5
t = ( y+10)/2
anything else?




–2x + 3y = 21

3x – 2y = 21

–2x – 3y = 21

–2x + 3y = 7

Answers

-2x+3y=7 points please...

Answer:

D.

Step-by-step explanation:

-2x+3y=7.I just took the test.

Which type of light is most likely to cause burns?why?

Answers

ultraviolet light because of the radiation
I would say ultra violet. Ultraviolet light is the light from the sun. It can cause burns, increase risk of skin cancer, and... not to gross u out... weld contacts to people's eyes... among other things. (ultra-violent light if u ask me)

Add.
(2x + 5) + (3x - 7)
A) x - 2
B) x + 2
C) 5x - 2
D) 5x + 2

Answers

5x - 2. Just combine like terms, and distribute the + to the second term. 

Answer:

C) 5x - 2

Step-by-step explanation:

When parentheses are preceded by a + sign, they may be immediately removed. Two additions and one subtraction are called for here: 2x + 5 + 3x - 7. This is 5x - 2.

(2x + 5) + (3x - 7)

2x + 5 + 3x - 7

2x + 3x - 7 + 5

5x - 2.

Hope this helps!!!

A salad recipe calls for 1 3/4 cups of chopped tomatoes. The recipe calls for 4 1/7 times as many cups of lettuce as tomatoes. How many cups of lettuce do you need for this recipe?

4 1/7 cups
4 3/28 cups
7 1/4 cups
7 1/7 cups

Answers

Hello! To find the amount of lettuce needed for the recipe, all you have to do is multiply 1 3/4 by 4 1/7. It would be best to change the numbers into improper fractions. 1 3/4 is 7/4 and 4 1/7 is 29/7. 7/4 * 29/7 is 203/28 or 7 1/4 in simplest form. You need 7 1/4 cups of lettuce for the salad recipe. The answer is C.

.The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? Answer:

Answers

The population in the Northeast was 53,594,378 people in 2000 and 55,317,240 people in 2010. By about what percent did the population change? Did the population grow or shrink? 
 C = 100*(55,317,240 - 53,594,378) / 53,594,378 = 3.2%. This is positive, so the population grew

Find the inverse function for

\(\large\bf{f(x)= \sqrt{2x-6}}\)

I found that it was

\(\large\bf{\color{Red}{y=\frac{1}{2}x^{2} + 3}}\)

but I am to restrict the function would it be \(\bf{x \ge 0}\)?

Answers

[tex]\bf \stackrel{f(x)}{y}=\sqrt{2x-6}\qquad \qquad \stackrel{f^{-1}(x)}{y}=\cfrac{x^2+6}{2}[/tex]

that is correct hmmmm, yes, I think the restriction is also correct, it has to be x > 0, because, the domain on the original, has a restriction of x⩾3, otherwise the radicand turns negative.

now, the graph of that original function is a parabola sideways opening to the right, if you include both sides of the vertex of the parabola, it will not pass the vertical-line-test and not be a function, but if you restrict it to only positive roots, so it'll only be on the 1st quadrant, then it functions ok.

that means, the range of the original function, has to stick to only 0 or positive root values, now, recall that the range of the original is the domain of the inverse.  Therefore, the domain of the inverse, will have to stick to only 0 or positive values, since it's bound to the same restriction as the original's range.

notice the picture below of both, the dashed section is the positive range for each, if you include it, the original will fail the vertical-line-test, and the inverse will fail the horizontal-line-test.

recall that for a function to have an inverse, they both must pass the vertical and horizontal line test, or be a one-to-one functions.

what is 31590 rounded to the nearest thousand

Answers

31,590 rounded to the nearest thousandth would be 32000
31590=32000 this is the answer

Find the value of x in the triangle shown below
How do I do this?

Answers

A triangle must add up to 180 degrees
180-85-67=28.........

Which are the solutions of x2 = –13x – 4? 0, 13 0, –13

Answers

It's defiantly not C. I made a 90%  but missed this question. I hope this helps you cross it down.  My next guess would be D.

Answer:

Option 3 and 4 - 0,-13

Step-by-step explanation:

Given : Expression [tex]x^2=-13x-4[/tex]

To find : What are the solutions?

Solution :

The quadratic formula of the quadratic equation [tex]ax^2+bx+c=0[/tex] is

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

Comparing with general equation, [tex]x^2+13x+4=0[/tex]

where, a=1 ,b=13, c=4

Substitute in the formula,

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

[tex]x=\frac{-13\pm\sqrt{13^2-4(1)(4)}}{2(1)}[/tex]

[tex]x=\frac{-13\pm\sqrt{169-16}}{2}[/tex]

[tex]x=\frac{-13\pm\sqrt{153}}{2}[/tex]

[tex]x=\frac{-13+\sqrt{153}}{2},\frac{-13-\sqrt{153}}{2}[/tex]

The value of x is [tex]x=-0.315,-12.68[/tex]

Approximately the solution of the expression is x=0,-13.

Factor the expression. X^4+6x^2-7 completely. Show work!

Answers

Hi there!

Let's let y = x^2
Substitute y into the equation
y^2 + 6y - 7
Now, we need two factors of -7 that add up to 6
-1 and 7 should work
Now, factor
(y - 1)(y + 7)
Substitute y=x^2 back into the equation
(x^2 - 1)(x^2 + 7)

Edit: Garydesir1 made an important note. (x^2 - 1) can be factorized into (x+1)(x-1)
Your full factorization is (x-1)(x+1)(x^2 + 7)

Have an awesome day! :)
Hello there!

The answer is: (x + 1)(x -1)(x² + 7)

----------------------------------------------------

Well, I am not sure how to explain this. But what you need to realize is that you have x^4. It means that you gonna need two x in the left and one x^2 on the right side.

I hope this help!

Find the missing side length.

Answers

a² + b² = c²

(√3)² + b² = 5²

3 + b² = 25

b ² = 22

b = √22

hope this helps

When washing your hands, the correct amount of time to scrub your hands is approximately: select one:
a. 30 seconds.
b. 5 seconds.
c. 10-15 seconds.
d. 1 minute?

Answers

Most research claim at least 20 seconds, therefore 5 sec and 10-15 seconds are too less. 30 seconds seems to be the most fitting answer. 

Hope I helped :)

Decide if the following is a properly formed syllogism.

If you drink tea, you always add sugar.
If sugar is added, then the tea is sweeter.
Therefore, if it is sweet, then you’re drinking tea.

a. This is not a syllogism.

b. This is a syllogism.

Answers

Your answer is A. This is not a syllogism



Hope this helps!
Have a Nice Night!
-Nana

The following is not a properly formed syllogism.

Option A is the answer.

What is a syllogism?

A syllogism is a form of argument where the conclusion follows from the truth of two or more given statements.

We have,

Statements:

If you drink tea, you always add sugar.

If sugar is added, then the tea is sweeter.

Conclusion:

If it is sweet, then you’re drinking tea.

This is not a conclusion from the truth of the given statements.

There is nowhere mention of tea in the statements.

Thus,

It is not a properly formed syllogism.

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Simplify
2x x y x 3

Answers

which is it
2x times y times 3 = 6xy
or,
2xxyx3= 6x^3y

Final answer:

To simplify 2x * y * 3, multiply the coefficients (2 and 3) and the variables (x and y) separately, resulting in the simplified expression 6xy.

Explanation:

To simplify the expression 2x * y * 3, we can multiply the coefficients and the variables separately. The coefficients are 2 and 3, so their product is 2 * 3 = 6. The variables are x and y, so their product is xy. Putting it all together, the simplified expression is 6xy.

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Property rights are the legal rights of ownership on which others are Overall what percentage of the world's population lives in cities Sheila doesnt have a lot of money for college tuition, but she really would like to go to college. What can she do while shes in high school to achieve her goal?A.learn as much as she can about her desired careerB.take classes in high school that will give her college creditC.decide on a less expensive careerD.wait until she graduates before deciding her next moveE.quit school and start college right way 1.) Select the correct inference of the given passage from "The Cask of Amontillado." "He! he! he!--he! he! he!--yes, the Amontillado. But is it not getting late? Will not they be awaiting us at the palazzo, the Lady Fortunato and the rest? Let us be gone." "Yes," I said, "let us be gone." A. The narrator intends to free Fortunato from the vault. B. The narrator and Fortunato are worried about the late hour. C. Fortunato will never leave the vaults again. D. Fortunato is still concerned about the Amontillado. 2.) Select the correct inference of the given passage from "The Cask of Amontillado." "I have my doubts," I replied; "and I was silly enough to pay the full Amontillado price without consulting you in the matter. You were not to be found, and I was fearful of losing a bargain." A. The narrator was worried he would lose a bargain. B. The narrator wants his Fortunato to feel superior. C. The narrator was upset by paying too much for the Amontillado. D. The narrator could not find Fortunato when he needed him. Summarize the reasons Native American culture was irrevocably changed by the end of the 1800s culture Why might explain christianity be a predominance throughout europe, the americas, and africa? What does Wilson mean when he says, "They have shamed us in the eyes of the world"? At witch battle did the Americans and French surround the british forcing them to surrender, effectively ending therevolutionary war?A. Battle of Brandywine B. Battle of Trenton C. Battle of Yorktown D. Battle of Saratoga a store manager orders t-shirts so that 15 out of every 35 are medium. how many medium t-shirts would you expect to find when there are 105 t-shirts on the rack. explain how to get F=9/5C+32. Solve for C. Which one is a true statement about exothermic reactions?A. Energy from an outside source is continuously being addedB. The reaction container always feels coldC. The reactants have more heat energy than the productsD. More heat is given off then is put into the reaction (03.03 MC) Find the ordered pairs for the x- and y-intercepts of the equation 3x 2y = 18 and select the appropriate option below. (5 points) The x-intercept is (0, 6); the y-intercept is (9, 0). The x-intercept is (6, 0); the y-intercept is (0, 9). The x-intercept is (3, 0); the y-intercept is (0, 2). The x-intercept is (0, 3); the y-intercept is (2, 0). Um cone reto tem 24cm de altura e o raio da base igual a 18cm. CalculeA) a medida de sua geratrizB) a rea total lateral (aproximadamente)C) a rea total (aproximadamente)+volume Infants who are attached to their caregivers do cry when their caregivers leave the room. last Macedonian ruler of Egypt who took the throne in 51 B.C 160% of 35 show work. A sample of 8.5 g nh3 on oxidation produces 4.5 g of no. calculate the percent yield. reaction: 4 nh3 5 o2 4 no 6 h2o How has technology helped make northern Canada less remote? Some complex multicellular organisms are organized at four levels to increase efficiency. Which list names the correct order of organization, from the simplest to the most complex? A. organ, tissue, cell, organ system B. cell, organ, organ system, tissue C. tissue, cell, organ system, organ D. cell, tissue, organ, organ sys what is meant by separation of powers Steam Workshop Downloader