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Agata [3.3K]
3 years ago
6

Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?

Mathematics
2 answers:
Andru [333]3 years ago
8 0
Yes, (3, 2) is a solution to y = 2x - 4. (:
jeka57 [31]3 years ago
3 0
The ordered pair (3,2) is a solution.
To graph the function: first plot the y-intercept at -4. Next from the y-intercept, count up 2 units and then right one unit and plot a point, continue to do this until you have several points plotted (at least 4). Next using a straight-edge, draw a line through the points.
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45 is what percent of 150
inn [45]

Divide 45 by 150 then multiply by 100:

45 / 150 = 0.3

0.3 x 100 = 30%

The answer is 30%

7 0
3 years ago
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If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question... ​
solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

  • 3x - 2y = 9
  • 27x^3 - 8y^3 = 1377

And we need to find the prove that ,

  • xy = 4

We know a identity as ,

  • (a-b)^3 = a^3-b^3-3ab(a-b)

On cubing both sides of the given equation,

  • (3x-2y)^3 = 9^3

Simplify and then substitute ,

  • 27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729

  • 1377 - 18xy (9) = 729

  • 162xy = 1377-729

  • xy =\dfrac{648}{162}

  • xy = 4

Hence Proved !

8 0
3 years ago
Factor the following polynomial.<br> 98x3 – 18x
grigory [225]

Answer:

2x(7x - 3)(7x +3)

Step-by-step explanation:

Find common factors between the 2 numbers:

98x^3 - 18x

2x(49x^2 - 9)

now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:

2x(7x - 3)(7x +3)

3 0
3 years ago
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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo
svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

  • a^x \times a^y = a^{x+y}
  • In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : a^x = a^y  ⇒  x = y  [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

4 \times 8^{2x+1} = 32^{x+2}

Lets express it in terms of 2.

=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}

=> 2^2 \times 2^{6x+3} = 2^{5x+10}

=> 2^{2 + 6x+3} = 2^{5x+10}

=> 2^{6x+5} = 2^{5x+10}

Here the bases on both the sides are equal. Hence ,

=> 6x + 5 = 5x + 10

=> 6x - 5x = 10 - 5

=> x = 5

6 0
3 years ago
Since opening night, attendance at play A has increased steadily, while attendance at play B first rose and then fell. Equations
lbvjy [14]

Answer:

(5,151) and (16,316) are days with equal attendance for both plays.

Step-by-step explanation:

brainly.com/question/8102047

8 0
3 years ago
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