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3 years ago

Solve by taking the square root of both sides 3(x-1)^2-162=0

2 answers:

7 0

We know that: 3(x-1)^2-162=0
or (x-1)²= 162:3
and (x-1)²= 54
we take the square root of both sides
* x-1=√54= 3√6 or x=1+3√6
* x-1= -√54= -3√6 or x=1-3√6
This equation has 2 solutions

oksano4ka [1.4K]3 years ago

5 0

Answer: B x=1-3 root of of 6 or 1+3 root of 6

Step-by-step explanation:

I got the answer correct on the test :)

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Enter your answer and show all the steps that you use to solve this problem in the space provided. A.Solve a–9=20 B.Solve b–9&gt

Goryan [66]

Answer:

A) The value of a is 29.

B) The value of b is greater than 29.

C) In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.

D) The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

Step-by-step explanation:

Solving for Part A.

Given,

$a-9=20$

We have to solve for a.

$a-9=20$

By using addition property of equality, we will add both side by 9;

$a-9+9=20+9\\a=29$

Hence the value of a is 29.

Solving for Part B.

Given,

$b-9>20$

We have to solve for b.

$b-9>20$

By using addition property of inequality, we will add both side by 9;

$b-9+9>20+9\\b>29$

Hence the value of b is greater than 29.

Solving for Part C.

In both part A and part B we have used a common property which is addition property and that we have add 9 on both side of equation in both parts.

Solving for Part D.

The value of a in part A is equal to 29 whereas in part B the value of b is greater than 29.

5 0

3 years ago

Can someone please help me and like show and explain how to get the answer?

lord [1]

It will take layla 11 nigths

8 0

3 years ago

What are the zeros of the quadratic function? f(x)=3x^2−3x−18 i need the answer asap

dusya [7]

Answer:

The zeroes are 3 and -2...if u need explanation I am open but seem in a hurry

6 0

3 years ago

Find the 44th percentile, P44, from the following data! pls help

irina [24]

Answer:

$P_{44} = 29.9$

Step-by-step Explanation:

The 44th percentile, $P_{44}$ , of the given data can be calculated using the kth formula for percentile given as:

$i = \frac{k}{100}(n + 1)$

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

$i = \frac{44}{100}(23 + 1)$

$i = \frac{44}{100}(24)$

$i = \frac{1,056}{100}$

$i = 10.56$

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

$i_{down} = 10.56 = 10$

$i_{up} = 10.56 = 11$

The data occupying the 10th position on the data set = 28.7

11th = 31.1

$P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2}$

$P_{44} = 29.9$

6 0

3 years ago

An infinite number of ratios are equivalent to 3:8. How

Inessa05 [86]

Answer:

See below, please!

Step-by-step explanation:

There are infinite number of ratios equivalent to 3:8 because both numbers can be multiplied by a common number or divided by a common number.

For example, 9:24 would still be equivalent to 3:8 because the common number in our case is 3. See what I mean?

Hope this helped!

3 0

3 years ago