MATHEMATICS HIGH SCHOOL

Solve using the Square-Root (x-3)²-49=0

Answers

Answer 1
Answer:

Answer:

x equals 10 and x equals -4

Step-by-step explanation:

take the square root of (x-3)² and the square root of 49

√(x-3) = x-3

√49 = +7 and -7

substitute the positive and negative 7 in for 'x' and solve

x-3 = 7;   therefore, x = 10

x-3 = -7;   therefore, x = -4

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Write 3/13 as a recurring decimal. HELP PLEASE !!!

Answers

Answer:

the answer is 0.23076923076923

Answer: 0.230769 repeat

The class of 2015 decides to start a T-shirt company. After initial expenses of $280, the purchase each t-shirt for $3.99. They sell each t-shirt for $10.99. how many must they sell to break even?

Answers

$280=budget

10.99-3.99= $7 profit made with each shirt

$280/7= 40

Therefore the class must sell at least 40 t shirts to break even
70 bc, if u round up 3.99 it equals 4. then 4x70=280 the number you want. and if you round up 10.99 to 11 its 770 so you would have 490 left over to buy more

Harold spends 1/6 of the year on his aunts farm. He has done this for the last 8 years. What is the total amount of years, in simplest form , that Harold has spent on his aunts farm? Please explain to me step by step how this problem is solved! Thank you

Answers

First, multiply 1/6 times 8.  This gets you 8/6, which reduces to 4/3.  This means that she has spent 4/3 of a year on the farm.  Now if you'd like, you can simplify this to 1 1/3 years, depending on what your teacher wants.

If xy is rational, must x and y each be rational?

Answers

Your answer is is simply,no x and y could have a common irrational factor. 

Could some one please help with question 9b and 11

Answers

9b. a^4 +2a^2-8=0
factorise
(a^2 + 4)(a^2 - 2)=0
we then get two answers from the brackets
a^2=-4
a= sqrt(-4) or 2j
and the second bracket gives us a^2=2
a= sqrt(2)

11. First expand the brackets.
Ax^3 + Bx^2 - x^2 + Bx +Cx + D
then equate the coefficients, this basically means put all the x^3, x^2 etc values together.
so Ax^3=3x^3 so we know that A=3Then put the x^2 together, so Bx^2-x^2=-x^2 and rearranging this gives B=0
Next we do Bx+Cx = 2x and we know that B is 0 so we can get rid of it and know that C = 2.
finally we can see that D = -7

What is the next in the sequence 2 6 3 8 6 12

Answers

The correct answer is: 11

Explanation:
There are two series in the given sequence:

Series-1:
2 3 6 x

Where x represents the number we need to find.

Series-2:
6 8 12

The following pattern is seen in the Series-2:
6 + 2 = 8
8 + 4 = 12

Meaning the additive has the incremental increase of 2 [Like 2, 4, 6, 8 ...].

Likewise,
In Series-1, the following pattern is shown [1,3,5,7...]:
2 + 1 = 3
3 + 3 = 6
6 + 5 = 11

Hence the correct answer is 11.
11
As you can see, the pattern is subsequently +4, -3, +5, -2, +6, -1 etc.
So, according to this, next sequence should be 12-1=11
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