Find the x- and y-intercepts of the equation 3x - 7y= 21.
A) x-intercept: (7,0), y-intercept: (0,3)
B) x-intercept: (7,0), y-intercept: (0,-3)
C) x-intercept: (0,7), y-intercept:(-3,0)
OD) x-intercept: (0,-7), y-intercept: (3,0)

Answers

Answer 1
The answer is B X= (7,0) and Y= (0,-3)
Answer 2

x-intercept: (7,0), y-intercept: (0,-3). Therefore, the correct answer is option B.

The given equation of a line is 3x-7y=21.

The x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.

When y=0, we get

3x-7(0)=21

3x=21

x=7

So, the x-intercept is (7, 0)

The y-intercept is the value of the y-coordinate of a point where the value of x-coordinate is equal to zero.

When x=0, we get

3(0)-7y=21

0-7y=21

y=-3

So, the y-intercept is (0, -3)

Therefore, the correct answer is option B.

Learn more about the x-intercept here:

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Related Questions

Simplify the expression by combining like terms 3x - y + 4 - 3x + 5y

Answers

Answer:

4+4y

Step-by-step explanation:

3x - y + 4 - 3x + 5y

-y+5y=4y

4+4y

3x-y+4-3x+5y
=3x+-y+4+-3x+5y
=3x+-y+4+-3x+5y
=(3x+-3)+(-y+5y)+(4)
=4y+4

slope intercept form.Please help

Answers

Answer:

y2-y1/x2-x1 = 3-3/4-(-6) = 0/10

y = mx+b = 3 = 0(4) + B = B = 3

y = mx+b = y = 0x + 3

Step-by-step explanation:

If you know two points on a line, you can use them to write the equation of the line in slope-intercept form. The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept.

Two common envelope sizes are 3 1/2 in. x 6 1/2 in. and 4 in. x 9 1/2 in.
Are these envelopes similar? Explain.

*Using Similar Figures*

Answers

No these envelopes aren’t similar. If you add up the sides they both don’t equal the same. Making them non congruent.
The envelops aren’t similar

Baker's Best Canned Biscuits contains 5 biscuits and costs $0.69 per can. Butter Bee Canned Biscuits contains 8 biscuits and costs $1.29 per can. Find the unit rate to determine which brand of biscuits is the best buy?

Answers

Answer:

Baker's Best

Step-by-step explanation:

Given data

For Baker's Best  

5 biscuits and costs $0.69 per can

The cost per  biscuits

=0.69/5

=$0.14 per  biscuit

For Butter Bee Canned

8 biscuits and costs $1.29 per can

The cost per  biscuits

=1.29/8

=$0.16 per  biscuit

Hence the best buy is Baker's Best which offers $0.14 per biscuit

There are two solid hemispherical objects made of clay having the same shape and size. If the total surface area of one hemispherical object is 462 square cm, find the total surface area of the sphere which is formed by attaching those two hemispherical objects.​

Answers

radius=7,tsa of spheres is 616sq.cm

hemisphere = 462 square cm
Radius=7cm
Now,
TSA of sphere=4×22÷7×7×7
=616 sq.cm

The area of a 2D form is the amount of space within its perimeter. The total surface area of the formed figure is 615.75216 cm².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the total surface area of one hemispherical object is 462 square centimeters, therefore, we can write,

The total surface area of the hemisphere = 3πr²

462 cm² = 3πr²

r² = 462/(3π) cm²

r² = 49.0197 cm²

r = 7 cm

Now, when the two hemispheres will be attached, the total surface area of the formed figure will be equal to the total surface area of a sphere,

Therefore, we can write,

Total surface area = 4πr²

                              = 4 × π × (7 cm)²

                              = 615.75216 cm²

Hence, the total surface area of the formed figure is 615.75216 cm².

Learn more about the Area here:

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Write an equation in point slope form of the line that passes though the point (6,6) and has a slope of m=3/2

Answers

6=3/2(6)+B I hope this helps but I’m not for sure I’m right

What is the slope of this line

Answers

Answer:

3/4

Step-by-step explanation:

you start at the y-intercept or 1 and move 4 to the right, then 3 up.

Answer:

3/4 is the slope

Step-by-step explanation:

rise over run

go up 3 and over 4 to find where the line plots its next point

Hope this Helps :)

Mr. Randall, a salesperson, earns a weekly salary of $300 plus a commission of 7% of his weekly sales of merchandise. Last week, Mr. Randall earned $426. This can be represented by the equation below, where s represents his total sales, in dollars, for the week.

Answers

Answer:

Step-by-step explanation:

Step one:

given data

we are told that weekly salary is $300

and a commission of 7% of the weekly sales

let the sales be s

7% of s = 0.07s

hence weekly commission = 0.07s

let the total earning be y

the linear model for Mr. Randall earnings is

y=300+0.07s

step two:

For the situation whereby he earned $426

the model is given as

426=300+0.07s

let us solve for s, the sales made

426-300=0.07s

126=0.07s

divide both sides by 0.07

s=126/0.07

s=1800

Hence he made sales of $1800 for that week

4 pts Question 3 Justify the reason for similarity in the triangles below with a similarity postulate. 9 3 5 15 M AA SSS Not Similar SAS < Previous Next​

Answers

Answer:

SAS

Step-by-step explanation:

Here, we want to check for if the triangles are similar

Firstly, we notice a marked angle on both triangles

This shows that we have an angle that is similar in both triangles

Also, if we check, we can deduce that the bigger looks like a scaled version of the smaller one to a tune of 3

This means that the sides of the smaller when multiplied by 3 gave the bigger

since the sides are in proportion, then the triangles are similar. It is not alone that the sides must be equal; once they are in proportion, then the triangles are similar triangles

Each dimension of a parallelogram is multiplied by a positive number n. Write an expression for the area of the new parallelogram. Let b represent the base and h represent the height of the original parallelogram. Expression for the area of the new parallelogram:

Answers

Answer:

Area of the new parallelogram = n(b × h)

Step-by-step explanation:

Area of a parallelogram = Base × Height

Let

b = the base

h = the height of the original parallelogram.

Each dimension of a parallelogram is multiplied by a positive number n.

Write an expression for the area of the new parallelogram.

Area of the new parallelogram = Base × Height

Base = b * n

bn

Height = h * n

= hn

Area of the new parallelogram = bn × hn

= n(b × h)

Area of the new parallelogram = n(b × h)

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks? Express your answer to the nearest cubic centimeter.

Answers

Answer:

[tex]924.96\ cm^3[/tex]

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

[tex]V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3[/tex]

Volume of 6 pucks,

[tex]V=6\times 154.16\ cm^3\\\\=924.96\ cm^3[/tex]

So, the volume of the 6 puck is [tex]924.96\ cm^3[/tex].

Given the dimensions of a single hockey puck, we want to find the volume of a cylindrical package containing six pucks. We will see that the volume must be 925 cm^3

So the volume of a cylinder of diameter D and height H is:

V = 3.14*(D/2)^2*H

Here we have:

D = 7.6cmH = 3.4cm.

Then the volume of each single puck is:

V = 3.14*(7.6cm/2)^2*3.4cm = 154.16cm^3

Then the volume of a package that contains 6 of these must have at least 6 times that volume:

6*V = 6*154.16cm^2 = 924.96 cm^3

Rounding to the next cubic centimeter we get 925 cm^3

So the volume of the package must be 925 cm^3

If you want to learn more about volume, you can read:

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Joshua went kayaking. It cost him $ 15 to rent the kayak. It also cost $ 6 for each hour spent on the lake kayaking. Joshua spent 2 $\frac{1}{2}$
1
2​​ hours on the lake. How much was his total bill for the kayak rental and hours kayaking on the lake?

Answers

It cost $37 for 2 hours I think

Help me please i will mark as brainliest

Answers

Answer:

2n-7=3n-3

Step-by-step explanation:

2n-7=3n-3

There are 2 n variable tiles and 7 -1 tiles for the first and 3 n variable tiles and  3 -1 tiles for the seconds.

Why is it difficult to identify the slope of the line `6x-2y=12`?

Answers

Answer:

Prolly cause it's not in slope intercept form.

Step-by-step explanation:

To make the equation into slope-intercept form, first subtract 6x from both sides.

-2y = -6x + 12

Divide everything by -2.

y = 3x - 6

There is your slope-intercept equation. -6 is the y-intercept and 3 is the positive slope.

Please mark me as Brainliest.

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.

What is the actual length of the trail in kilometers?


A) 1.3 kilometers

B) 3 kilometers

C) 6.75 kilometers

D) 9 kilometers

Answers

♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

C) 6.75 kilometers!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

Scale diagrams

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

[tex]2\ \text{centimeters}=3\ \text{kilometers}[/tex]

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

[tex]\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}[/tex]

The length of the trail is 4.5 centimeters in the map. So,

[tex]4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}[/tex]

Learn more about scale diagrams:

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If F ( x ) = 2 x - 1, find the zero of F -1( x ).

A) -1
B) 1/2
C) 1

Answers

Answer:

A.

Step-by-step explanation:

Which expression is correct?"The square of the sum of a number and 5, added to 3, then squared"

Answers

Answer:

5-n squared+3 squared

Step-by-step explanation:

BRAINLIEST 5 stars and Thanks <3 Fast and CORRECT answers!!

Answers

Answer:

7 is your answer your welcome

Step-by-step explanation:

I hope you do well on this quiz. lol, be my friend

Anyone who knows how to do this right please

Answers

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

[tex]\frac{80}{360}[/tex] × pi × 7 × 2 = 3[tex]\frac{1}{9}[/tex]pi

                       = 9.77 inches (rounded to 3 s.f.)

14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r

[tex]\frac{285}{360}[/tex] × pi × 10 × 10 = 79[tex]\frac{1}{6}[/tex]pi

                          = 249m² (rounded to 3 s.f.)

Kelly divided of 5/7 a liter of plant fertilizer evenly among some smaller bottles. She put 1/5 of a liter into each bottle. How many smaller bottles did Kelly fill? Pls help

Answers

Answer:

3 bottles

Step-by-step explanation:

Given that :

Total liters of fertilizer = 5/7 litres

Amount put into each smaller bottle = 1/5 liters

Number of small bottles filled :

Total liters of fertilizer ÷ amount put into smaller bottles

5/7 litres ÷ 1/5 litres

5 /7 * 5 /1

= 25 / 7

= 3.57

Hence, 3 bootles was filled

help me please gggg​

Answers

Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg Ggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

Answer:

theres no question

Step-by-step explanation:

Please guys help!!!!

Answers

Answer:

There are 4 people in Table A.

Step-by-step explanation:

Let the number of people at Table A be x and the number of people in Table B be x + 2.

[tex]\frac{72}{x}[/tex] = [tex]\frac{108}{x+2}[/tex]

72(x+2) = 108x

72x + 144 = 108x

144 = 108x - 72x

36x = 144

x = 144 ÷ 36

x = 4

BRAINLIEST, THANKS, 5 STARS ! Correct and fast answers needed!!!!

Answers

Answer:

A=-10x,B=-4

Step-by-step explanation:

-5x*2=-10x

-2*2=-4

PLS NEED HELP!A club had 5 members in 2019, this year they now have 14 members. Calculate and interpret the percent change in the number of members of the club from 2019 to 2020. ANSWER NEEDS TO BE IN PERCENT FORM!

Answers

Answer: The percent changed because it increased by 180%.

Step-by-step explanation:

Answer:

What they said is correct make them brainiest

Step-by-step explanation:

Elevator 1 moved up 10 feet from the ground level. its position is labeled as +10. Elevator 2 moved down 5 feet from the ground level. It’s position is labeled as _____

Answers

Answer:

I believe your answer would be -5 because in the first part of the question, it tells you that ground level is 0. (by saying that when you go up 10 from ground level, you are at postitive (+)10)

so... if you go 5 down from ground level (0), it the same as 0-5 which is -5. hope this helps! :)

Step-by-step explanation:

5. y=x-1
x+y= 3
anyone know this ?

Answers

x+x-1=3
2x-1=3
2x=4
x=2

what is 1/5-(-4/5)=

Answers

Answer:

1

Step-by-step explanation:

its literally just 1.

If x=w find the perimeter of vwx A. 16 B. 19 C. 20 D. 22

Answers

Answer:

B

Step-by-step explanation:

Its the only odd number

The Hu family goes out for lunch, and the price of the meal is $54. The sales tax on the meal is 6%, and the family also leaves a 15% tip on the pre-tax amount. What is the total cost of the meal?

Answers

Answer:

The total cost of meal is $65.34

Step-by-step explanation:

Price of the meal = $54

Sales tax on meal = 6%

Tip given= 15% on pre-tax amount

We need to find total cost of meal.

First finding sales tax amount:

We need to calculate 6% of 54

[tex]6\% \ of \ 54\\=6\% \times 54\\=\frac{6}{100}\times54\\=3.24[/tex]

So, the sales tax would be $3.24

Now, we need to find tip amount

We will find 15% of 54

[tex]15\% \ of \ 54\\=15\% \times 54\\=\frac{15}{100}\times54\\=8.1[/tex]

So, the tip given would be $8.1

The total cost of meal = Price of meal + Sales Tax + Tip

                                      = 54+3.24+8.1

                                      = 65.34

So, the total cost of meal is $65.34

Students collect information on objects which change position due to a push or a pull. What is eh best unit of measurement to use when recording an object's change of position.

Answers

Answer:

Meters

Step-by-step explanation:

The position of an object is its location at a given time. Which is subjected to change with respect to time, especially for any object which has potential energy.

In the standard unit of measurements (SI unit), it is required that distance which is a measure of length is recorded in meters. Thus, the best unit of measurement to use when recording a change in the position of an object is meters.

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