Determine the intercepts of the line. Do not round your answers. 4x-3y=17

Answers

Answer 1

Answer:

[tex]\frac{17}4; -\frac{17}3[/tex]

Step-by-step explanation:

Option 1:  check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get

[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]

Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:

[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]

Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]

Answer 2

Answer:

The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).

Step-by-step explanation:

The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.

x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be

0.

To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17

-3y=17

y = -17/3

​So the y-intercept is (0, -17/3).

To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17

4x = 17

x = 17/4

So, the x-intercept is (17/4, 0).

In conclusion, The y-intercept is (0, -17/3).

The x-intercept is (17/4, 0).


Related Questions

Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.

Answers

•Company B makes more books(8 more) in less time (1 hour Less) while company A makes 8 less in more time.

Work out m and c for the line: y = 8 − x

Answers

The answer is

M = -1
C = 8

m=-1 and c=8 for the line  y = 8 − x

What is slope intercept form of line?

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation is  y = 8 − x

This equation we can write in the form of slope intercept form

y=-x+8

y=(-1)x+8

Now compare the above equation with slope intercept form

m=-1 and c=8

Hence, m=-1 and c=8 for the line  y = 8 − x

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Simplify
O A. 6^16
O B. 6
O C. 6^4
O D. 1/6

Answers

the answer for this question is B

A hybrid car can go 400 miles on 8 gallons of gas. How far can the car take you with 1 gallon of gas?

Answers

Answer:

50 miles

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

400 miles / 8 gallons

50 miles per gallon

Answer:

50 miles

Step-by-step explanation:

if for each 8 gallons it can go to 400 miles

so the 8 will be divided to 8 and get 1

and also divide the 400 into 8 you will get 50 miles per 1 gallon

PLEASE HELP WILL MARK BRAINIEST!!!!!!

Answers

Answer:

Copy an angle is the best solution with compass and straight edge.

Zayden has a total of 20 bills in his wallet. Also, his wallet only contains $50 and $100 bills. If the numbers of $50 and $100 bills are interchanged, the total amount of money in Zayden’s wallet would be $500 more than it originally was. Find the original amount of money in his wallet.

$

Answers

Step-by-step explanation:

x = number of $50 bills

y = number of $100 bills

x + y = 20

50x + 100y + 500 = 100x + 50y

50y + 500 = 50x

y + 10 = x

now we use that in the first equation :

y + 10 + y = 20

2y = 10

y = 5

x = y + 10 = 5 + 10 = 15

so, he has 15 $50 bills and 5 $100 bills = $750 + $500 = $1250 in his wallet

Does anyone else like Gavin Magnus? If so what are your favorte things about him! I'mgiving brainliest

Answers

I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

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Answers

Answer:

B. slope

Step-by-step explanation:

What is the perimeter of the triangle?

Answers

Answer:

L1 + L2 + L3 = perimeter

Step-by-step explanation:

You add each side of the triangle together.

Answer:

L1+L2+L3

Step-by-step explanation:

You add all the sides of the triangle to get the perimeter

Solve using substitution.
y = -9x - 8
y = -6x – 2
Please help

Answers

Answer:

y = 10; x = -2

Step-by-step explanation:

Because both are equal to y, you can set them equal to each other.

-9x - 8 = -6x - 2

- 6 = 3x

x = -2

y = -9(-2) - 8 = 10

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )

Answers

Answer:

A (2,2) B (2,4) C (3,2) D (3,3)

Step-by-step explanation:

K = 1/2

K is the scale factor so the distance between points will be cut in half

A 4,4 new 2,2

B 4,8 new 2,4

C 6,4 new 3,2

D 6,6 new 3,3

Answer:

A = (2,2)

B = (2,4)

C = (3,2)

D = (3,3)

Step-by-step explanation:

Leave a brainliest if this helped

How do I get the answer for exponents? Please explain step by step to get marked!

Answers

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

Pls look at photos I’ll give 30 points

Answers

you said you’d give 30 points but i only see 15 there ☹️

three less than a number is -18

Answers

Answer:

-15

Step-by-step explanation:

work in reverse

-18 is three less than something

that means that something is 3 more than -18

so

add 3 to -18

-18+3= -15

index notation simplify 4^9 x 4^3

Answers

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]

Need help need help need help need help need help need help need help

Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

Find two consecutive whole numbers that 60 lies between.

Answers

Answer: Benchmark numbers can be used to state that the square root of 60 is between 6 and 7.

Answer: 50 and 100

Step-by-step explanation:

( sorry if this is not what you meant ;-; )

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Answers

The required value of "k" is 8. Option B is correct

Given the polynomial function

[tex]P(x) =2x^3-4x^2+kx-3[/tex]

What is remainder theorem?

The remainder theorem is a formula used to find the remainder when a polynomial is divided by a linear function.

If  this polynomial has a factor of x - 1 and remainder of 3, hence x = 1 and P(x) = 3. This means that P(1) = 3

[tex]P(1) =2(1)^3-4(1)^2+k(1)-3\\3 = 2-4+k-3\\6 = -2 + k\\k = 8\\[/tex]

Hence the required value of "k" is 8

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What is the area of a square whose perimeter is 12x cm?

Answers

Answer:

9

Step-by-step explanation:

12/4=3

3*3= 9

Filler and more filler

The area of  the square is 9 [tex]cm^{2}[/tex].

What is area?

The space occupied by a flat shape or the surface of an object is called area.

Formula for the area of square?

[tex]Area = a^{2}[/tex]

Where, a is the length of the side of a square

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

Formula for the perimeter of square

Perimeter of a square = 4a

Where, a is the side of a square

According to the given question

Perimeter of a square is 12cm.

Let a be the length of the side of a square.

Therefore,

Perimeter of the square = 4a

⇒ 12 = 4a

⇒ a = 12/4

⇒ a = 3cm

So, the area of square = 3cm × 3cm = 9 square cm

Hence, the area of  the square is 9 [tex]cm^{2}[/tex].

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Function h gives the height of a tennis ball, in feet, t seconds after it is tossed straight up in the air. The equation h(t) = -16t2 +12t+10 defines function h

Answers

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output
See picture attached

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Answers

Answer:

arrange them: -9x^3+2x^3-4x^2+x^2-6x-5x

the simplified is: -7x^3-3x^2-11x

QUESTION 15 PLEASE HELP ME ASAPP

Answers

Answer:

The line shifted up 8 units

Step-by-step explanation:

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Answers

Answer:

Step-by-step explanation:

a+√b

a-√b

ALOT OF POINTS FOR THIS ONE

Admission to the state fair is $12, and each ride ticket costs $3.50. Write an
expression to represent the situation and explain what the variable means.

3.50t + 12 where t represents the number of ride tickets
3.50a + 12 where a represents the cost of admission
12a + 3.50 where a represents the cost of admission
12t + 3.50 where t represents the number of ride tickets

Answers

Answer:

Step-by-step explanation:

12a + 3.50t x 6rides

What is 25% of 50?

Need answers :)

Answers

Answer:

12.5

Step-by-step explanation:

Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.

Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?

Answers

Answer:

3/7

Step-by-step explanation:

The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.

correct?`````````````````````````

Answers

Answer:

It's $5 for a ticket

Step-by-step explanation:

Hope this helps

MAy I get Braineist pls?

Please help derivitive
Please dont comment if you dont know …

Answers

[tex]\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty[/tex]

A liquid mixture of 56 ounces contains 14 ounces of sugar and the rest is water. What is the ratio of swar to water
in the mixture?

Answers

Step-by-step explanation:

Ounces of water = 56 - 14 = 42 ounces

Ratio of sugar to water

56 : 42

8 : 6

4 : 3

4:3, 56:42 in lowest terms is 4:3

A builder makes a certain type of concrete by mixing together 1 part portland cement (made from lime and clay), 3 parts sand, and 5 parts crushed stone. If 765 ft^3 of concrete are needed, how many cubic feet of each ingredient does he need?

Answers

Answer:

85 ft^3 portland cement255 f^3 sand425 ft^3 crushed stone

Step-by-step explanation:

The total number of parts is 1+3+5 = 9. The relevant fractions of the mix are ...

  1/9 = portland cement

  3/9 = 1/3 = sand

  5/9 = crushed stone

Since the total is 765 ft^3, the ingredients required are ...

  (1/9)(765 ft^3) = 85 ft^3 portland cement

  (1/3)(765 ft^3) = 255 f^3 sand

  (5/9)(765 ft^3) = 425 ft^3 crushed stone

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