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DedPeter [7]
3 years ago
11

What is the answer?

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

Answer:

Step-by-step explanation:

(\frac{1}{9})(\frac{2}{3})^x=(\frac{12}{243})\\(\frac{2}{3})^x=\frac {12}{243} \times \frac {9}{1}=\frac{4}{9}=(\frac{2}{3})^2 \\x=2

allsm [11]3 years ago
5 0

I hope this helps you

1/9.(2/3)^x=3.4/3.81

(2/3)^x=4/9

(2/3)^x=(2/3)^2

x=2

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Answer: 40 PLEASE MARK BRAINLEST

Step-by-step explanation:

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3 years ago
Which table contains the vertex of the graph represented by y=x^2-6x+4?
Vaselesa [24]

vertex = (3,- 5 )

given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then

the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = x² - 6x + 4 is in standard form

with a = 1, b = - 6 and c = 4, hence

x_{vertex} = - \frac{-6}{2} = 3

substitute this value into the equation for y- coordinate

y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5

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7 0
3 years ago
Write the equation of the line that passes through the points (2,−8) and (1,7). Put your answer in fully reduced point-slope for
ValentinkaMS [17]

Point-slope form of equation is: y - 7 = -15(x-1)

Step-by-step explanation:

Given points are:

(2,-8) and (1,7)

First of all we have to calculate the slope of the line

so,

m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{7-(-8)}{1-2}\\=\frac{7+8}{-1}\\=\frac{15}{-1}\\= -15

Point-slope form is given by:

y-y_1 = m(x-x_1)

Putting the value of slope

y-y_1 = -15(x-x_1)

We can put any one of two given points in the equation to find the final form of point-slope form

So

Putting (1,7) in the equation

y - 7 = -15(x-1)

Hence, point-slope form of equation is: y - 7 = -15(x-1)

Reducing and simplifying

y - 7 = -15(x-1)\\y-7 = -15x+15\\y-7+7 =-15x+15-7\\y = -15x+8\\15x+y = 8

Keywords: Point-slope form, equation of line

Learn more about equation of line at:

  • brainly.com/question/6200750
  • brainly.com/question/568302

#LearnwithBrainly

8 0
3 years ago
The sum of two numbers is 24 and their difference is 2?
mote1985 [20]
X + y = 24
x - y = 2

Adding both equations
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7 0
3 years ago
Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper. Which e
sweet-ann [11.9K]

Answer with Step-by-step explanation:

Zohar cut a rectangle with a length of 5x – 2

and a width of 3x + 1

We know that:

Perimeter of rectangle is:

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Now, when x=4

16x-2=16×4-2

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Hence, when x=4 ,Perimeter=62

4 0
3 years ago
Read 2 more answers
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