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Umnica [9.8K]
3 years ago
11

Which ordered pair represents the x-intercept for the linear equation, 3y + 4x = 8?

Mathematics
2 answers:
jarptica [38.1K]3 years ago
6 0
(0,8/3) is the answer
NeX [460]3 years ago
6 0

Answer:

(2, 0) represents the x-intercept for the linear equation.

Step-by-step explanation:

The given linear equation is 3y + 4x = 8

We have to find the ordered pair that represents the x-intercept.

Since x - intercept of any line means ordered pair will have y = 0.

So by putting y = 0 in the equation

3×0 + 4(x) = 8

4x = 8

x = 2

Therefore, ordered pair which represents the x-intercept will be (2, 0).

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find the equation of a cubic function whose graph passes through points (3,0) and (1,4) and is tangent to x-axis at the origin
Tomtit [17]

Answer:

y = -2x^2(x - 3)

Step-by-step explanation:

<em><u>Preliminary Remark</u></em>

If a cubic is tangent to the x axis at 0,0

Then the equation must be related to y = a*x^2(x - h)

<em><u>(3,0)</u></em>

If the cubic goes through the point (3,0), then the equation will become

0 = a*3^2(3 - h)

0 = 9a (3 - h)

0 = 27a - 9ah

from which h = 3

<em><u>From the second point, we get</u></em>

4 = ax^2(x - 3)

4 = a(1)^2(1 - 3)

4 = a(-2)

a = 4 / - 2

a = -2

<em><u>Answer</u></em>

y = -2x^2(x - 3)

 

3 0
3 years ago
Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation
olchik [2.2K]

Answer: x= 1

Step-by-step explanation: solve for  x  by simplifying both sides of the equation, then isolating the variable.

7 0
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A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous
Allushta [10]

Answer:

0.3 feet

Step-by-step explanation:

2.75(0.8)^x

in which x is the number of bounces after the firts bouce

bouce 12 would mean x=11

2.75(0.8)^11 = 0.2

7 0
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Juanita bought one CD for $7.99 and one DVD for $8.99. The sales tax on these items was 7%. She also bought lunch for $4.25, inc
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87. Juanita started with 40 dollars in her pocket. Then she bought one CD for 7.99 dollars and 1 DVD for 8.99 dollars. It has a sales tax of 7% on these items. Plus she bought a lunch for 4.25 dollars including tax Solve: => 7.99 dollars + 8.99 dollars = 16.98 dollars => 16.98 dollars * .07 = 1.2 dollars => 16.98 + 1.2 = 18.18 dollars Plus the lunch => 18.18 + 4.25 = 22.43 dollars => 40 – 22.43 = 17.57 dollars
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3 years ago
Solve this system by substitution. y = 3 y = -3x + 6 *Remember to write your answer as a coordinate point (x, y). I​
DochEvi [55]

Answer:

(1, 3)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = 3

y = -3x + 6

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in <em>y</em>:                                                                                                 3 = -3x + 6
  2. [Subtraction Property of Equality] Subtract 6 on both sides:                      -3 = -3x
  3. [Division Property of Equality] Divide -3 on both sides:                                1 = x
  4. Rewrite/Rearrange:                                                                                        x = 1

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                               y = -3(1) + 6
  2. Multiply:                                                                                                           y = -3 + 6
  3. Add:                                                                                                                 y = 3
6 0
3 years ago
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