Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work

Answers

Answer 1

Answer:

y = 6x - 19

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 6x - 4 ← is in slope- intercept form

with slope m = 6

Parallel lines have equal slopes , then

y = 6x + c ← is the partial equation

To find c substitute (3, - 1) into the partial equation

- 1 = 18 + c ⇒ c = - 1 - 18 = - 19

y = 6x - 19 ← equation of parallel line


Related Questions

Explain how to convert measurements in the metric system

Answers

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.

tính đạo hàm của y=2x-1-căn3x-0

Answers

Answer:

The derivative is

[tex]\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Step-by-step explanation:

The function is given by

[tex]y = 2x - 1 - \sqrt {3x}[/tex]

Differentiate with respect to x, we get

[tex]\frac{dy}{dx} = 2 - 0 - \frac{2\sqrt3}{\sqrt x}\\\\\frac{dy}{dx} = 2 - \frac{2\sqrt3}{\sqrt x}\\[/tex]

Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight

Answers

Answer:

515,857,549,048

Step-by-step explanation:

I guess you are to write in numerals

Five hundred fifteen billion = 515,000,000,000

eight hundred fifty-seven million = 857,000,000

five hundred forty-nine thousand = 549,000

forty-eight = 48

Total = 515,000,000,000 + 857,000,000 + 549,000 + 48

= 515,857,549,048

Therefore,

Five hundred fifteen billion, eight hundred fifty-seven million, five hundred forty-nine thousand, forty-eight = 515,857,549,048

Evaluate the expression using the Commutative and Associative properties of numbers.
Name the property used in each step.
13 + 23 + 12 + 7

Answers

Given:

The expression is:

[tex]13+23+12+7[/tex]

To find:

The value of the given expression by using Commutative and Associative properties of numbers.

Solution:

We have,

[tex]13+23+12+7[/tex]

Applying parenthesis and brackets, we get

[tex]=[13+(23+12)]+7[/tex]

[tex]=[13+(12+23)]+7[/tex]             [Commutative properties of numbers]

[tex]=[(13+12)+23]+7[/tex]             [Associative properties of numbers]

[tex]=(25+23)+7[/tex]

Using Associative properties of numbers, we get

[tex]=25+(23+7)[/tex]               [Associative properties of numbers]

[tex]=25+30[/tex]

[tex]=55[/tex]

Therefore, the value of the given expression 55.

Hiiioo! Can someone please help with this! Thank you❤️❤️

Answers

Answer:

(-2,4) radius = 2

Step-by-step explanation:

[tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]

(h,k) point  r is the radius

The function h is defined by h (x) = 3x2 + 7.
Find h(5x).
h (5x) = ?

Answers

Answer:

h(5x) = 75x² + 7

Step-by-step explanation:

h(x) = 3x² + 7

h(5x) = 3(5x)² + 7

h(5x) = 3(25x²) + 7

h(5x) = 75x² + 7

[tex]h(5x) = 75x^2 + 7[/tex]

To find h(5x), you simply need to substitute 5x in place of x in the function [tex]h(x) = 3x^2 + 7[/tex] and then simplify the expression.

[tex]h(x) = 3x^2 + 7[/tex]

Now, replace x with [tex]5x: h(5x) = 3(5x)^2 + 7[/tex]

Simplify: [tex]h(5x) = 3(25x^2) + 7[/tex]

Now, calculate [tex]3 * 25: h(5x) = 75x^2 + 7[/tex]

So, [tex]h(5x) = 75x^2 + 7[/tex]

To know more about substitute:

https://brainly.com/question/29383142

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Please help I’ll give brainliest

Answers

9^5 that’s the answer

a retailer bought a bag for $80 and sold it for $120 calculate the percentage profit​

Answers

Answer:

50%

Step-by-step explanation:

Take the final amount and subtract the original amount

120-80 = 40

Divide by the original amount

40/80 = .5

Multiply by 100

.5 *100 = 50%

Step-by-step explanation:

Profit=Selling Price- Cost Price

=$120-$80

=$40

Profit Percentage= Profit×100/Cost Price

= 40×100/80

=100/2= 50%

hope it helps

12-2²·2=?

Brainliest

Answers

Answer:

it would be 4

12-4×2=12-8=4

Step-by-step explanation:

hope it helps you

[tex]\longrightarrow{\green{ 4 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

➺ [tex] \: 12 - {2}^{2} .2[/tex]

➺ [tex] \: 12 - (2 \times 2 \times 2)[/tex]

➺ [tex] \: 12 - 8[/tex]

➺ [tex] \: 4[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

An investment of 100,000 AED increases at a rate of 16% per year. What is
the value of the investment after 20 years? Give your answer to 2 decimal
places

Answers

Answer:

1,946,075.95 AED

Step-by-step explanation:

Firstly, we write the general formula for an exponential increase as follows;

V(t) = A( 1 + r)^t

where V(t) is the value after some number of years t

A is the investment amount which is 100,000 AED

r is the rate of increase which is 16% = 16/100 = 0.16

t is the number of years which is 20

substituting these values;

V(20) = 100,000( 1 + 0.16)^20

V(20) = 100,000(1.16)^20

V(20) = 1,946,075.95 AED

Which is equivalent to 3V8^1/4x


BROO SM PLS HELP

Answers

Answer:

= 24 3/4x

Step-by-step explanation:

3* 8 1/4x

Here 8 1/4 is a mixed fraction.

Convert it to improper fraction

8 1/4 = 33/4

So, 3*33/4 x

99/4 x

= 24 3/4x

That is

Hope this will helpful.

gimmie brainlist :)

The third option: 12 times the root of 8^12.

EXPLANATION:
the third root of 8 is the same as 8 to the 1/3 power, so you’d have (8^1/3)^1/4x
Then you multiple the exponents together to get 8^1/12x, which is the same as the 12th root of 8 to the power of x.

if there are 3 odd numbers and 2 even numbers what is the probability

Answers

There is 5 total. Umbers and 3 of them are odd.

The probability of getting odd is the number of odd over total numbers:

Probability of odd = 3/5

Answer:

P ( odd) = 3 / 5

Step-by-step explanation:

Total number = 3 + 2 = 5

Odd number = 3

The probability of odd number is = odd number / total number

P ( odd )= 3 / 5

Three siblings are doing their washing and hanging all the items on the washing line.

On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.

a) Who has a striped shirt?

b) What design is Paul’s towel?

c) Who has a spotted jumper?

Answers

Answer:

A.) Paul

B.) Plain

C.) Paul

Step-by-step explanation:

Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain

Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted

Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped

Hope this helps! Have a nice dayy! :)

I need help with this

Answers

Answer:

the first option on the screen

X - 7 < 15
Please show work

Answers

Answer:

X-7<15

X-7+7<15+7

X<22

Answer:

x < 22

Step-by-step explanation:

x - 7 < 15

Adding 7 to both sides.

=> (x - 7 ) + 7 < 15 + 7

=> x - 7 + 7 < 22

=> x < 15+ 7

=> x< 22

The nth term of a sequence is 20 – n?
a) Find the third term of the sequence.
b) Which term in the sequence
the first to have a negative value?

Answers

Answer:

a) 17

b) 21st term

Step-by-step explanation:

a) 20 - 3 = 17

b) 20 - 21 = -1

in an election a candidate go 82 votes.He won the election beating his rival candidate by 576 votes.How many votes were pull?​

Answers

Answer:

if you like please mark me brainlaist

Step-by-step explanation:

thanks

Using the following image, complete the statement below. I got all the answers I need the ones that is blank

Answers

Answer:

DE is congruent to BE , ED is congruent is EB and the last one is midpoint.

Step-by-step explanation:

if A={2,3,5,7,9,10} B={2,10,12,13} then a-b is​

Answers

A = {2,3,5,7,9,10}

B = {2,10,12,13}

A-B = ?

Now,

A-B = {2,3,5,7,9,10} - {2,10,12,13}

= {3,5,7,9}

I hope you understand...

Mark me as brainliest...

.........................​

Answers

Answer:

The literals are; a, b, and c

The constants are; c, and 3

The variables are; x, and y

Step-by-step explanation:

The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied

The given equation is a·x² + b·x + c - y + 3 = 0

The literals are;

'a', 'b', and 'c'

The constants are the values that remain the same always in an equation and does not change

The constants are;

'c', and '3'

The variables are the values that vary in relation to one another

The variables are;

'x', and 'y'

find the lateral area of the prism​

Answers

Answer:

We know that the lateral area of any prism is the sum of the areas of its side faces. Thus, the lateral area of a triangular prism is the sum of the side faces, that is the three rectangular faces. The formula to find the lateral area of a triangular prism is, (a + b + c) h or Ph.

so

20×6= 120 sq in

Answer:

120 sq in.

Step-by-step explanation:

LA = ah

LA = 20 × 6

A = 120

if f(x)=3^x+10x and g(x)=5x-3, find (f-g)(x)

Answers

Answer:

[tex]3^x+5x+3[/tex]

Step-by-step explanation:

Given that,

[tex]f(x)=3^x+10x[/tex]

and

[tex]g(x)=5x-3[/tex]

We need to find (f-g)(x).

We know that,

(f-g)(x) = f(x)-g(x)

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

So, the value of (f-g)(x) is [tex]3^x+5x+3[/tex].

Elimination method
a-b=3
2a+3b=b

Answers

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 45 square inches. Estimate its radius to the nearest tenth.

Answers

Answer:

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

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

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

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

r = 3.8

The graph of this system of equations is which of the following?
-2x + y = 3
4x + 2y = 2

A. Overlapping lines

B. Parallel lines

C. Intersecting lines

D. A curve intersecting a line

Answers

The answer is C. They are intersecting

Answer:

c

Step-by-step explanation:

i did the test

c) Make k the subject of the formula t = ak/ 20

Answers

Answer:

k=20t/a

Step-by-step explanation:

20t=ak

20t/a=k

k=20t/a

Evaluate angles s and r, giving reason for your answer​

Answers

Answer:

r=42 degrees

This is because of vertically opposite angles

s=68

This is because 180( angles in a triangle) minus ( 70 + 42) is equal to 68 degrees

Answer:

r = 42° , s = 68°

Step-by-step explanation:

r and 42° are vertical angles and are congruent , then

r = 42°

The sum of the 3 angles in a triangle = 180° , then

s = 180° - (70 + 42)° = 180° - 112° = 68°

Let R be the region bound by the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on theinterval 0 ≤ x < π.

b) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis.

c) Write, but do not solve, an equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x = –1.

Answers

Answer:

b.

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

(c)

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

Step-by-step explanation:

b. The volume of solid formed is given by the washers formula as follows;

[tex]V = \pi \cdot \int\limits^a_b {\left([f(x)]^2 - [g(x)]^2} \right) \, dx[/tex]

Therefore, we have, the integral expression whose solution is the volume formed by rotating 'R', about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is given as follows;

[tex]V = \pi \cdot \int\limits^\pi_0 {\left([2 + cox(x)]^2 - [csc(x)]^2} \right) \, dx[/tex]

(c)  We have;

x = arcos(y - 2), x = arcsin(1/y)

At x = 0, y = 2 + cos(0) = 3

csc(0) = ∞

At x = π, y = 2 + cos(π) = 2 + -1 = 1

csc(π) = ∞

Therefore, we get;

[tex]V = \pi \cdot \int\limits^3_1 {\left([arcos(y - 2)]^2 - [arcsine(x)]^2 - (-1)^2} \right) \, dx[/tex]

B) An equation that involves integral expressions whose solution is the volume of the solid generated when R is revolved around the x-axis is;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) An equation involving integral expressions whose solution is the volume of the solid generated when R is revolved around the line x= -1 is;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

How to find the integral volume of solid?

B) The volume of solid formed is gotten from applying the washers formula;

[tex]V = \pi \int\limits^a_b ({[f(x)]^{2} - [g(x)]^{2}}) \, dx[/tex]

This means that the integral expression whose solution is the volume formed by rotating R about the equations y = 2 + cos(x) and y = csc(x) in the first quadrant on the interval, 0 ≤ x ≤ π, V is expressed as;

[tex]V = \pi \int\limits^\pi _0 ({[2 + cos(x)]^{2} - [csc(x)]^{2}}) \, dx[/tex]

C) From answer above, we have;

x = cos⁻¹(y - 2), x = sin⁻¹(1/y)

Now,

At x = 0; y = 2 + cos(0) = 3

csc(0) = 1/0 = ∞

Also,

At x = π; y = 2 + cos(π)

y = 2 + (-1)

y = 1

Also, csc(π) = ∞

Thus, we have;

[tex]V = \pi \int\limits^\pi _0 ({[cos^{-1} (y - 2)]^{2} - [sin^{-1}(x)]^{2} - (-1)^{2} }) \, dx[/tex]

Read more about finding the integral volume of solid at; https://brainly.com/question/21036176

2 lines intersect. A line with points R, S, U intersects a line with points V, S, T at point S.
In the diagram, which angles form a linear pair? Select three options.

AngleRST and AngleRSV
AngleRST and AngleTSU
AngleRST and AngleVSU
AngleTSU and AngleUSV
AngleTSU and AngleRSV

Answers

Answer:

AngleRST and AngleRSV

Step-by-step explanation:

You first draw the diagram with statement given

Answer:

a) RTS & RSV b) RST & TSU d) TSU & USV

Step-by-step explanation:

Frank has $8000 that he plans to split into two investments. He wrote the following two equations to represent the interests he will earn from each of the two investment options.

2000 A+ 6000B=520
400A+400B=480
Determine the interest rates, A and B as percentages

Answers

Answer:

Step-by-step explanation:

I still think your equations are wrong...

4000/4000 not 400/400 since the total investment is to be $8000

not $800

Step-by-step explanation:

2000 A+ 6000B=520

4000A+4000B        =480

~~~~~~~~~~~~~~~~~~~~~

2000 A+ 6000B=520

-2000A - 2000B   =-240  

4000B = 280

B=7%

A=5%

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