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).


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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.

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Find two consecutive whole numbers that 60 lies between.

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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:

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Answer:

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

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

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

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

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

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Answers

Answer:

10 to 11 would be correct

Answer:

10 to 11

Step-by-step explanation:

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

Answers

The answer is

M = -1
C = 8

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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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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

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y + 10 + y = 20

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Answer:

B. slope

Step-by-step explanation:

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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

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I LOVE OUR SWEET MATCHLESS CHRIST JESUS!

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

3/7

Step-by-step explanation:

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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

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Perimeter of a square is 12cm.

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

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Answers

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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

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Solve using substitution.
y = -9x - 8
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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

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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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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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

Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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