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otez555 [7]
3 years ago
6

(3x-4)∧2=8 how do i solve this

Mathematics
1 answer:
Ber [7]3 years ago
7 0

(3x-4)^2=8\iff3x-4=\pm\sqrt8\\\\3x-4=-\sqrt{4\times2}\ or\ 3x-4=\sqrt{4\times2}\\\\3x-4=-2\sqrt2\ or\ 3x-4=2\sqrt2\ \ \ \  \ \ \ |add\ 4\ to\ both\ sides\\\\3x=4-2\sqrt2\ or\ 3x=4+2\sqrt2\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\frac{4-2\sqrt2}{3}\ or\ x=\frac{4+2\sqrt2}{3}}
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In a random sample of 130 students, only 7 had been placed in the wrong math class. What is the best point estimate for the prop
Ivenika [448]
We have the given  in the problem as mentioned:
A total of 130 students and only 7 had been placed in the wrong math class.
With this given, we can easily draw the proportion of all students who have been placed in the wrong math class by estimation method and the solution is shown below:

Proportion = 7/130
5 0
3 years ago
What is the slope of the line passing through (-3, 5) and (5, -3)?
krok68 [10]

slope = (y2-y1)/(x2-x1)

  m =(-3-5)/(5--3)

m = -8/8

m=-1

Choice A

4 0
3 years ago
I need some help with this! I will try to give brainliest!!
nikdorinn [45]

Answer:

Left yes

right no

Step-by-step explanation:

that goes for top and bottom

6 0
3 years ago
Help me ASAP!!!!!!!!
larisa [96]

Step-by-step explanation:

a) The rule is <em><u>multiply the previous term by 6 then add 13</u></em>. So if the 1st term is n0 = -2, then the next term n1 is

n1 = 6n0 + 13

= 6(-2) + 13

= 1

n2 = 6n1 + 13

= 6(1) + 13

= 19

So the sequence goes like

-2, 1, 19

b) Now the sequence is reversed so let's write the terms as follows:

19, 1, -2

The new rule now is <em><u>subtract</u></em><em><u> </u></em><em><u>1</u></em><em><u>3</u></em><em><u> </u></em><em><u>then</u></em><em><u> </u></em><em><u>divide</u></em><em><u> </u></em><em><u>by</u></em><em><u> </u></em><em><u>6</u></em><em><u>.</u></em> You can check this as follows:

n0 = 19

n1 = (n0 - 13)/6

= (19 - 13)/6

= 1

n2 = (n1 - 13)/6

= (1 - 13)/6

= -2

5 0
3 years ago
The equation of the line that contains diagonal HM is y = 2/3 x + 7.
nirvana33 [79]

Answer:

The slope of the line that contains diagonal OE will be = -3/2

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

Where m is the slope and b is the y-intercept

Given the equation of the line that contains diagonal HM is y = 2/3 x + 7

y = 2/3 x + 7

comparing the equation with the slope-intercept form of the line equation

y = mx+b

Thus, slope = m = 2/3

  • We know that the diagonals are perpendicular bisectors of each other.

As we have to determine the slope of the line that contains diagonal OE.

As the slope of the line that contains diagonal HM = 2/3

We also know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line.

Therefore, the slope of the line that contains diagonal

OE will be = -1/m = -1/(2/3) = -3/2

Hence, the slope of the line that contains diagonal OE will be = -3/2

3 0
3 years ago
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