Solve for x. √x−11=5
1 answer:
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Answer:
x < 3 and x > -1
Step-by-step explanation:
Step 1: Subtract 2 from both sides.
Step 2: Solve absolute value.
- We know x - 1 < 2 and x - 1 > -2.
Condition 1:
(Add 1 to both sides)
Condition 2:
(Add 1 to both sides)
Therefore, the answer is x < 3 and x > -1.
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
---- (1)
From the second, we have:
---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
Their product is represented as follows:
Substitute values for F and B
Open bracket
Subtract 40 from both sides
Factorize:
Split:
or
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
Make S the subject
<em>Hence, Sarah is 13 years old</em>
Answer:
The frequency distribution is given below:
Class Frequency
0 - 9 9
10 - 19 6
20 - 29 3
30 - 39 3
40 - 49 3
From the given 4 options, the histogram in option A accurately displays this data. Hence the option A is correct.
