Write the standard form of the line that contains a slope-intercept of 1/2 and a y -intercept of 3. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.

Answers

Answer 1

[tex]\huge\boxed{x-2y=-6}[/tex]

Hey there! We can solve this problem by setting up the equation in slope-intercept form and changing it into standard form.

(I'm assuming that the problem meant the slope is [tex]\frac{1}{2}[/tex].)

[tex]\begin{aligned}y&=mx+b&&\smash{\Big|}&&\text{Start with slope-intercept form.}\\y&=\frac{1}{2}x+3&&\smash{\Big|}&&\text{Substitute in the known values.}\\-\frac{1}{2}x+y&=3&&\smash{\Big|}&&\text{Move the variables to the left.}\\x-2y&=-6&&\smash{\Big|}&&\text{Multiply everything by $-2$.}\end{aligned}[/tex]


Related Questions

I just need help with this please.

Answers

Answer:

-5/2 is located on the left of -1

Step-by-step explanation:

Given: a mod 7 = 5 and b mod 7 = 6 Find (a + b)mod 7. Do not use specific numbers for a and b. Consider a, b as generic particulars. Show steps but you do not need to provide reasons.(7 points)

Answers

Answer:

wouldn't it be 77

Step-by-step explanation:

If 7 = 5 is a and 7 = 6 is b and you add them you will get 11 then multiply it by 7 which would give you 77

or If you add 7 + 7 = 14 multiply 11

Or the answer is 154

Need help asap! Complete the table below.

Answers

Answer:

Step-by-step explanation:

if the speed is 6 bracelets per hour then the table will go like this

2   12

5  30

7  42

11  66

16 and 2/3  hours is 100 bracelets

Anybody Know This. ?

Answers

Answer: (Option 1) They are similar triangles.

Step-by-step explanation: Just because there are different letters doesn’t mean that they aren’t similar triangles. The measurements are also alike, so you can call them congruent and similar.

A construction company can remove 3/4 tons of dirt from a construction site each hour. how long will it take them to remove 36 tons of dirt from the site? (Answer needs to be in simplest form)

Answers

Answer:

48hours

Step-by-step explanation:

36÷(3/4)

36*(4/3)

144/3

48

A local charity is making fruit baskets for elderly citizensbin the neighborhood. Each badket have 15:pieces of fruit. They brought 1,620 pieces of fruit total. Without completing the division, choose Yes or No for each statements

Answer
They can make at least 1,000 baskets
They can make at least 10 baskets

Answers

Answer:

Yes, no, no

Step-by-step explanation:

Answer:10 baskets yes

100 baskets yes

1000 baskets no

Step-by-step explanation:

differentiate the given function:​

Answers

Answer:

[tex]\displaystyle h'(x) = \frac{1 + x - arcsin(x)\sqrt{1 - x^2}}{\sqrt{1 - x^2}(1 + x)^2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Algebra II

Simplifying

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Special Trig Derivatives:

Arcsine:                                                                                                         [tex]\displaystyle \frac{d}{dx}[arcsin(x)] = \frac{1}{\sqrt{1 - x^2}}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle h(x) = \frac{arcsin(x)}{1 + x}[/tex]

Step 2: Differentiate

Quotient Rule:                                                                                               [tex]\displaystyle h'(x) = \frac{(1 + x)\frac{d}{dx}[arcsin(x)] - \frac{d}{dx}[1 + x][arcsin(x)]}{(1 + x)^2}[/tex]Special Trig Derivative [Arcsine]:                                                                 [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - \frac{d}{dx}[1 + x][arcsin(x)]}{(1 + x)^2}[/tex]Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - (\frac{d}{dx}[1] + \frac{d}{dx}[x])[arcsin(x)]}{(1 + x)^2}[/tex]Basic Power Rule:                                                                                         [tex]\displaystyle h'(x) = \frac{(1 + x)(\frac{1}{\sqrt{1 - x^2}}) - 1[arcsin(x)]}{(1 + x)^2}[/tex]Multiply:                                                                                                         [tex]\displaystyle h'(x) = \frac{\frac{1 + x}{\sqrt{1 - x^2}} - arcsin(x)}{(1 + x)^2}[/tex]Rewrite [Multiply]:                                                                                         [tex]\displaystyle h'(x) = \frac{\frac{1 + x}{\sqrt{1 - x^2}} - arcsin(x)}{(1 + x)^2} \cdot \frac{\sqrt{1 - x^2}}{\sqrt{1 - x^2}}[/tex]Simplify [Multiply]:                                                                                         [tex]\displaystyle h'(x) = \frac{1 + x - arcsin(x)\sqrt{1 - x^2}}{\sqrt{1 - x^2}(1 + x)^2}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Find the distance between the two points

Answers

I got 8.1 units
.
I used the Pythagorean Theorem to find my answer. I plugged in 7 for the long side and 4 for the short side and then solved.
.
Hope this helps :)

What is the equation of a line that passes through the point (3, 11) and is parallel to the line y=2x-4

Answers

Answer:

The answer should be y=2x+5

someone plz help me please

Answers

Answer:

16. c)

12. b)

10. c)

2.  a) <- you were right

4. a)

Step-by-step explanation:

16. 10x - 2y = -6

-2y/-2 = (-10x - 6)/-2

y = 5x + 3

12. x + y = -3

y = -x - 3

Answer:

one is C. Two is A. Not sure about third but the 4 one is correctly A. Last one is C. i'm so sorry if this sucked. I really hoped this helped! Sorry if it's wrong :)

What is the product of -5/8 and -6/7

Answers

Answer:

-1 27/56

Step-by-step explanation:

Using the given fractions,

−58+−67

Applying the fractions formula for addition,

=(−5×7)+(−6×8)8×7

=−35+−4856

=−8356

Simplifying -83/56, the answer is

=−12756

the answer is 15/28. i checked on the calculator

Write an equation to match this graph

Answers

Answer:

its y=x+7

Step-by-step explanation:

Which inequality is represented by this graph?

Answers

Answer:

x>0

Step-by-step explanation:

if Jazzy sells her old bike for $104 and some toys for 68 she uses the money for four month karate lessons the cost of lessons is the same each month which strip diagram shows how to find Jazzy's cost for one month of karate lessons.lend a hand please also this is 4th grade

Answers

Answer:

C

Step-by-step explanation:

She sells her bike for 104 dollars

She sells toys        for  68 dollars

Total                             172

The question is a bit ambiguous. There are 4 divisions. So I would assume that you need to divide 172 by 4. If you do that you get 43

I think that what they are getting at is the answer is C. There are 4 months shown. And 1 month would be 43 dollars. She has enough for 3 more months.

how many solutions are there 14x + 6 = 2(5 + 7x) - 4

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

14x + 6 = 2(5+7x)-4

14x + 6 = 10 + 14x - 4

14x + 6 = 14x + 6

infinitely many solutions because both sides of the equation are equal

Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?

Answers

He can pack 2. In each group with 1 left over

How many parts 3 percent milk and 40 percent cream would be needed to make 500 pounds of 5 percent milk

Answers

Answer:

ok i have this same question so what you are going to take the 3 and just maove it to the side and then you fail

Step-by-step explanation:

Multiply. Enter your answer as a simplified mixed number.
-4(7/10)
The product is:

Answers

Answer:

−2.8 or - 2 8/10

Step-by-step explanation:

hope that helps

50 POINTS!!!


Please I need fast and correct answer. I will award best answer with brainliest!!!

Answers

Answer:

[tex]measure angle 1 = 62 ------> given\\measure angle 4 = 62 --------> vertical angle theorem[/tex]

Step-by-step explanation:

vertical angle theorem states that the angle vertical from another angle has to be congruent

p.s. i found it

Help me
Solve 5n = 35.

Answers

Answer:

n=7

Step-by-step explanation:

7 times 5 equals 35.

Answer:

n=7

Step-by-step explanation:

Give:5n = 35

To solve the n. we need to divide both side by 5.

5n/5=35/5

n=7

The length of a rectangle is
4
inches more than
4
times the width. If the area of the rectangle is
168
square inches, find the length and the width.

Answers

Answer:42

Step-by-step explanation:

How can you find the slope of the line that passes through the points (0, 0) and (2, 4)? Explain.

Answers

The slope formula is y2 - y1 / x2 - x1.

We have two points:

(0,0) (2,4) and points are written in the form (x,y).

From this information we can determine:

y2 = 4
y1 = 0
x2 = 2
x1 = 0

Substitute these into the slope formula:

y2 - y1 / x2 - x1

4 - 0 / 2 - 0

4 / 2

Slope = 2

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

The slope(m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

For the line that passes through the points (0, 0) and (2, 4)

x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4

Substitute x₁ = 0, y₁ = 0, x₂ = 2, y₂ = 4 into the equation [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{4-0}{2-0} \\\\m = \frac{4}{2} \\\\m = 2[/tex]

The slope of the line that passes through the points (0, 0) and (2, 4) is m = 2

Learn more here: https://brainly.com/question/23935638

Is this rational or irrational I really need help ASAP! Will mark brainlist.

Answers

Answer:

Irrational

Step-by-step explanation:

Since 7 is a prime number, it has no square factors and its square root cannot be simplified. It is an irrational number, so cannot be exactly represented by pq for any integers p,q .

Answer: irrational

Step-by-step explanation: 7 is a prime number and its square root can not be simplified.

Hope this helps!

The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?

Answers

Answer:

23

Step-by-step explanation:

32=3x-4+x

32=4x-4

+4       +4

36=4x

/4   /4

9=x

Larger #= 3x-4

Larger #= 3(9)-4

Larger #= 27-4

larger #= 23

There are 8 roses in a vase of 13 flowers. The rest are daisies.
(a) What is the ratio of daisies to roses?
0
X х
(b) What is the ratio of all flowers in the vase to daisies?
?what is it

Answers

Answer:

a.) 8/5

b.) 5/13

7 Given: -8(w + 1) = -5(w + 10); Prove: w = 14
Statements

Answers

Answer:

w=14

Step-by-step explanation:

-8(w + 1) = -5(w + 10)

Remove the parentheses

-8w-8+-5w-50

Move terms

-8w+5w=-50+8

Collect like terms and calculate

-3w=-42

Then divide on both sides

Whats the rate and unit rate for 7 pencils for 9 dollars

Answers

Answer:

7 to 9

Step-by-step explanation:

Do people who sit for at least 8 hours per day have more health problems than
those who sit for fewer than 8 hours per day?

Is statistical or non-statistical?

Answers

Answer:

Its statistical

Step-by-step explanation:


Evaluate the expression
b(a + c)
when a= = -3, b= -4, and c= 2

Answers

Step-by-step explanation:

b(a + c)

=-4(-3+2)

=12-8

=4

Answer:4

Step-by-step explanation:

Steps a (-3) add c (2) is -1

Then you have to times -1 by -4 which is 4 :D

What fraction of an hour is 28 minutes?
Give your answer in its simplest form.

Answers

Answer:

3.57

Step-by-step explanation:

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