which equation represents a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1

Answers

Answer 1

Answer:

Equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]

Step-by-step explanation:

We need to write equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1

The equation will be in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope

Since the lines are parallel to each other, their slopes will be equal.

Slope of given line: y = 3x + 1 is 3 (Compare it with general equation [tex]y=mx+b[/tex] we get m = 3)

So, slope of required line is: m=3

Finding y-intercept

Using the point (6,-3) and slope m = 3 we can find y-intercept by using the formula:

[tex]y=mx+b\\-3=3(6)+b\\-3=18+b\\b=-3-18\\b=-21[/tex]

So, we get y-intercept: b= -21

Equation of required line

The equation of required line having slope m=3 and y-intercept b = -21 is:[tex]y=mx+b\\y=3x-21[/tex]

So, equation of a line that passes through the point ( 6,-3 ) and is parallel to the graph of y = 3x + 1 is [tex]\mathbf{y=3x-21}[/tex]


Related Questions

3 2/5 as an improper fraction

Answers

Answer:

17/5

Step-by-step explanation:

Multiply 3 with the denominator 5.

3 * 5 = 15

Then add the product to the numerator

15 + 2 = 17

Keep the 5 as the denominator.

So the final answer is 17/5

The mixed fraction [tex]3\frac{2}{5}[/tex] as improper fraction is 17/5.

To convert the mixed number [tex]3\frac{2}{5}[/tex] to an improper fraction, we need to combine the whole number part with the fractional part.

The whole number 3 can be written as a fraction with the same denominator as the fractional part (5):

3 = 3/1

Now, add the fractional part 2/5 to the whole number 3/1:

3 + 2/5

To add fractions, we need a common denominator.

In this case, the common denominator is 5.

Now, rewrite 3 as a fraction with the common denominator 5:

3 = (3 × 5)/5

= 15/5

Now, add the fractions together:

15/5 + 2/5 = 17/5

So, the mixed number [tex]3\frac{2}{5}[/tex] as an improper fraction is 17/5.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

grade 8 unit rate pls add explanation

Franklin needs 2.75 cups of flour for every 1.5 cups of sugar in his cookie recipe. This will yield 3.5 dozen cookies. What is the unit rate for sugar per cookie? Round your answer to the tenths place.

Answers

Answer:

Is it .04

Step-by-step explanation:

ask me abt anything even though i might not have the answer




this isss mee btw

Answers

okay hmmm. whats your sexuality , Dont answer if you dont want!! me: bi

Answer:

why ................ btw thats my question

Which expressions are equivalent to x/3x times 8x/3x? Select all that apply?

a. 8x^2/9x^2

b. 8x^2/3x

c. 8x/3, for x not equal to 0

d. 8/9, for x not equal to 0

e. 9x^2/9x^2

f. 1, for x not equal to 0​

Answers

Answer:

A, D

Step-by-step explanation:

x/3x times 8x/3x is equivalent to x(8x)/[(3x)(3x)] i.e. 8x^2/9x^2 or 8/9.

A is correct obviously.

B is not correct since the coefficients and degrees are different.

C is not correct since the coefficients and degrees are different.

D is correct.

E is obviously wrong by comparing the coefficients.

F is also wrong since 8/9 is not equal to 1.

So the correct answers are A and D.

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given the equation:

(x/3x) * (8x/3x)

Multiplying the numerator and denominator:

= (x * 8x)/(3x * 3x)

= 8x² / 9x²

Further simplifying the equation:

= 8/9

The  expressions equivalent to (x/3x) * (8x/3x) is 8/9 and 8x² / 9x²

Find out more on equation at: https://brainly.com/question/2972832

Y= Two thirds x minus 3

Answers

slope: 2/3
y-intercept: -3

please help me please

Answers

Answer:

decreasing, linear

Step-by-step explanation:

you could find the first differences and then the secon ddifferences, but when it's allowed to use Desmos, why not, lol, so, looking at the 4 points plotted on Desmos, it is decreasing, and linear

Answer:

Decreasing; Linear

Step-by-step explanation:

This is a linear line for a fact.

And the line is decreasing. I used desmos to graph these points.

You can see for yourself, in the image I provided

Work out the length AC.

Answers

Answer:

[tex]\sqrt{ 105}[/tex]

Step-by-step explanation:

→ Utilise Pythagoras theorem

[tex]\sqrt{11^{2} -4^{2} } =\sqrt{121-16} =\sqrt{105}[/tex]

85) A6-foot man casts an 8-foot shadow. How tall is a tree that casts a
20-foot shadow?

Answers

Answer:

15 foot

Step-by-step explanation:

6 foot = 8 foot shadow

3 foot= 4 foot shadow

15 foot=20 foot shadow

please give me brainliest!!!

f(x)=x^2 g(x)=(x+3)^2+5 we can think of g as a translated (shifted) version of f. Complete the description of the transformation

Answers

Answer:

g(x) is shifted 3 to the left and 5 up

Step-by-step explanation:

I am very horrible at explaining these things, especially why it's 3 to the left and not to the right, but you'll have to trust me on that one.

As far as the 5 up part, you take the function (x+3)^2 and you always add 5, raising every output by 5.

A group of friends wants to go to the amusement park. They have no more than $275

to spend on parking and admission. Parking is $5, and tickets cost $27 per person,

including tax. Write and solve an inequality which can be used to determine 2, the

number of people who can go to the amusement park.

Answers

Answer:

10 persons

Step-by-step explanation:

Step one:

given data

We are told that they have a total of $275

also, they want to spend $5 on packing space

and a ticket cost $27 per person.

Step two:

let the number of persons be x

and let the total amount to be spent be y

hence the inequality is

y≤ 5+ 27x

now for y= $275, let us find x

Substitute into the inequality we have

275≤5+27x

275-5≤27x

270≤27x

Divide both sides by 27

x ≤ 270/27

x ≤ 10

Hence the number of persons should not be more than 10

Answer:

Inequality: 25x+10_<275

Answer: x_<10.6

Step-by-step explanation:

I have delta math also. This is the exact ANSWER! So i am too lazy to explain it but actually that is correct. I tried to put a screenshot in here but it wont let me for some reason? BUT THIS IS THE ANSWER!

Your welcome (○` 3′○)

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPP ME I DO ANYTHING JUST HELP ME


SHOW YOUR WORK


-2.75÷ -5 1/4

Answers

Answer:

The answer is 11/12. Please give brainliest.

Step-by-step explanation:

-2.75 converts to -2 3/4

-2 3/4 divided by -5 1/4

-11/4 divided by -21/4

-44/-84

11/12

Answer:

-13,4375

Step-by-step explanation:

what is the positive number that is 7 times its rightmost digit?

Answers

Answer:

A 7-digit number is read as millions or ten-lakhs.

10 ones make a ten, 10 tens make a hundred, 10 hundreds make a thousand, 10 thousands make a ten-thousand, 10 ten-thousands make a hundred-thousand and 10 hundred-thousands make a million.

Step-by-step explanation:

please mark me as brainliest thank you

Please answer and I will mark brainliest. ​

Answers

Answer:

b1:4

the box by 13:9

the 2nd top box:4

box by bottom 8:4

Step-by-step explanation:

hope i helped

Start by finding the scale of this map. At the actual gym, one side length of the snack stand is 60 feet. On the scale map, it is 20 cm. What is the scale?

Answers

Answer:

I actual foot represents 0.01093 foot on paper

Step-by-step explanation:

Given that :

Actual side length of snack stand = 60 feets

Length of side on map = 20cm

Scaie :

60 feet = 20cm

1 foot = (20/60) cm

1 foot = 0.333 cm

1cm = 0.0328084 foot

0.333cm = (0.33 * 0.0328084) = 0.01093 feets

Scale :

I actual foot represents 0.01093 foot on paper

Help please?????????????

Answers

Answer:

D.) 3x - 3

Step-by-step explanation:

X - 4 + 2x + 1

= X + 2x - 4 + 1

= 3x - 4 + 1

= 3x - 3

I hope this helps!

For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150. Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.

Answers

Incomplete question. The missing part read;

Ten granola bars and twelve bottles of water cost $23. Five granola bars and four bottles of water cost $10.

Options:

A. 1.4x + 0.75y > 150

B. 1.4x + 0.75y ≥ 150

C. 1.4x + 0.75 < 150

D. 1.4x + 0.75 ≤ 150

Answer:

B. 1.4x + 0.75y ≥ 150

Step-by-step explanation:

Remember, from the question we are told that the group wants the income from the fundraiser to be at least $150, meaning, they are not against having an income above $150 from the fundraiser, but a minimum of at least that amount.

Hence, among all the listed options, the correct inequality sign to represent the number of granola bars 'x' and the number of bottles of water 'y' that must be sold is the ≥  (equal to or greater than sign).

Which slope represents the greatest rate of change?

1) m = -8

2) m = 4

3) m = -10

4) m = 8

Answers

3) m = -10

although a negative slope, it still has the greatest rate of change since the slope is steeper than the rest.

Name 2 decimals whose difference is 0.4

Answers

Answer:

0.1 and 0.5

Step-by-step explanation:

Answer:

.8-.4=.4 and .12-.8=.4

Step-by-step explanation:

Help please! im lost i cant figure this out!

Answers

Answer:

c 3/4, 0.8, 94%

Step-by-step explanation:

I would convert all of these to decimals first so its not as confusing

a). 0.54, 0.70, 0.40 not in order

b). 0.67, 0.50, 0.80 not in order

c). 0.75, 0.80, 0.94 in order

d). 0.70, 0.54, 0.67 not in order

According to Newton’s third law of motion, when a hammer strikes and exerts force on a nail, the nail
Group of answer choices

creates a friction with the hammer.

disappears into the wood

exerts an equal and opposite force on the hammer

moves at a constant speed

Answers

Answer:

exerts an equal and opposite force on the hammer

Step-by-step explanation:

Answer:

third choice

Step-by-step explanation:

(i think im a little rusty on this lol)

Karim wants to buy a shirt that normally sells for $46.50. It is on sale for 3 off. How much does Karim need to pay to
buy the shirt on sale?
$15.50
$22.50
$31.00
$41.50

Answers

Answer:

The answer is 41.50 i just took it

Step-by-step explanation:

i just took it

ABCD is a rhombus. Find AB. Enter your answer as a fraction in simplest form.

Answers

Answer: 110/3

Step-by-step explanation:

5x+15= 8x+2 = 13/3

5 * 13/3 + 15= 110/3

Mr. Erwin is putting a new patio in his backyard the patio will measure 16 ft by 11 ft. He is planning to put a brick border around the patio. how many feet of brick will he have for the border


HELP ME PLEASE I NEED THIS LAST ONE PLEASE

Answers

In this question u will be finding the perimeter in order to do you add 16 and 11 because they are the sides of the rectangle and multiply it by 3 which equal 54 feet


Which expressions are equivalent to
?
1/5x1/5x1/5x1/5

Choose 2 answers:

Answers

Answer:

we conclude that:

[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]

Hence, options A and D are true.

Step-by-step explanation:

Given the expression

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]\frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}\cdot \frac{1}{5}=\frac{1\cdot \:\:1\cdot \:\:1\cdot \:\:1}{5\cdot \:\:5\cdot \:\:5\cdot \:\:5}[/tex]

                 [tex]=\frac{1}{5\cdot \:5\cdot \:5\cdot \:5}[/tex]

                 [tex]=\frac{1}{5^4}[/tex]

                 [tex]=\frac{1}{625}[/tex]

Checking options B and C:

Option B

[tex]\left(5^{-4}\right)^0=1[/tex]      

Option C

[tex]\frac{5^1}{5^4}=\frac{5}{625}=\frac{1}{125}[/tex]

Thus, options B and C are not equivalent!

Checking Option A

Option A

[tex]\left(5^{-2}\right)^2[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0[/tex]

[tex]\left(5^{-2}\right)^2=5^{-2\cdot \:2}[/tex]

           [tex]=5^{-4}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

           [tex]=\frac{1}{5^4}[/tex]

           [tex]=\frac{1}{625}[/tex]

Now, checking option D

Option D

[tex]5^2\cdot \:5^{-6}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]5^2\cdot 5^{-6}=5^{2-6}[/tex]

            [tex]=5^{-4}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

            [tex]=\frac{1}{5^4}[/tex]

            [tex]=\frac{1}{625}[/tex]

Therefore, we conclude that:

[tex]\left(5^{-2}\right)^2=5^2\cdot \:\:\:5^{-6}=\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}\cdot \:\:\frac{1}{5}[/tex]

Hence, options A and D are true.

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white. A frog randomly jumps onto a lily. Describe the complement of the frog landing on a yellow lily and find its probability.

Answers

Answer:

The probability of the frog landing on a complement of yellow lily is 0.57

Step-by-step explanation:

PLANTS Of the water lilies in the pond, 43% are yellow. The others are white.

The complement is  [tex]1-p[/tex].

It is given that 43% of plants are lilies it means the probability of a frog randomly jumps onto a lily is: [tex]p=0.43[/tex]

Now the complement is:

[tex]1-p=1-0.43[/tex]

[tex]1-p=0.57[/tex]

Hence, the probability of the frog landing on a complement of yellow lily is 0.57

On a sunny day, Larry notices that his shadow is 24 inches long. If it is 74 inches from the top of his head to the end of the shadow, how tall is Larry?​

Answers

Answer:

70 inches

Step-by-step explanation:

Larry forms a right triangle with the ground (this is one leg of a right triangle) and he is 24 inches from his shadow (this is the second leg).

74 inches is the hypotenuse of the right triangle

use pythagorean theorem:  a^2 + b^2 = c^2

let h = Larry's height

h^2 + 24^2 = 74^2

h^2 + 576 = 5476

h^2 = 4900

h = sq rt 4900

h = 70

Which of the following is logically equivalent to “I wear a jacket if it is cold outside." ?

If I wear a jacket, then it is cold outside.
If I do not wear a jacket, then it is not cold outside.
I wear a jacket if and only if it is cold outside.
If it is not cold outside, then I do not wear a jacket.

Answers

The option from the following that is logically equivalent to the statement is that: If it is not cold outside, then I do not wear a jacket.

What is Logical equivalence?

Two statements are regarded to be logically equivalent if, and only if, their resultant forms are logically equivalent during the time at which identical statement variables are utilized to illustrate their component statements.

Similarly; two statement forms are noted to be logically equivalent if, and only if, their resultant truth tables show an identical form per variation of statement variables.

Therefore, we can conclude that the correct option that is logically equivalent to the statement being made is that: If it is not cold outside, then I do not wear a jacket.

Learn more about Logical equivalence here:

https://brainly.com/question/19629377

Pls need help fast ._.

Answers

Answer:

65.75% change

Step-by-step explanation:

Equation for percent change

(|x2-x1| / x1) * 100%

48 million / 73 million * 100% = 65.75% decrease

the area of four walls of a room=2h(l+b).find the area of four walls in square.m

What is the measure of CAE?
135"
A. 80°
B. 25°
C. 55°
D. 40°

Answers

She’s wrong the answer is: D

Argument
The formula for the angle between 2 secants is


Givens


1/2 (135 - 55) = 1/2 * 80 = 40
Answer D

Answer:

The answer is 40.

Step-by-step explanation:

I just got it correct.

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