6 times a number is 27 less than the square of that number. Find the positive solution.
Answers
The positive solution will be "x = 3, -9". To understand the calculation check below.
Factorization
According to the question,
Let,
The number be "x".
6x = x² - 27
Now,
x² - 6x - 27 = 0
By applying factorization, we get
→ x² - 3x + 9x - 27 = 0
By taking common,
x (x - 3) + 9 (x - 3) = 0
(x + 9) (x - 3) = 0
(x + 9) = 0
x = -9
or,
(x - 3) = 0
x = 3
Thus the answer above is correct.
Find out more about factorization here:
Let x = your number.
6x = x^2 - 27. Subtract 6x from each side.
0 = x^2 - 6x - 27. Factor
0 = (x-9) (x+3). Set each term equal to zero
(x+3) = 0. Subtract 3 from each side.
x = -3. This is the negative solution.
(x-9) = 0. Add 9 to each side.
x = 9. This is the positive solution.
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A.
134 cm2
B.
170 cm2
C.
202 cm2
D.
238 cm2
Answers
A= 134 cm2
B= 170 cm2
C= 202cm2
D= 238 cm2
So, just add them altogether.
A= 744 cm (But I don't know what the exponent would be. Sorry!) I think that is how it would be. Its been a while since of done Area, though. Sorry about not knowing the exponent. And sorry if this isn't acurate.
5(a-4)-8a=55?
Please help :)
Answers
5*a - 20 - 8*a = 55
-3*a = 55 + 20
-3*a = 75 /(-3)
a = - 25
The correct result and the value of the a is -25.
Answers
Answer:278.44
Step-by-step explanation:
Divide the miles per year by months
Answer:280.36
Step-by-step explanation:
Answers
Answer:
x6 − x3 − 20 = (x3)2 − x3 − 20 = (x3 + 4)(x3 − 5)
Step-by-step explanation:
In this trinomial, the exponent of the first term, 6, is double the exponent in the second term, 3. And, the third term contains no variables. So, we can factor the expression as we would a quadratic, but treating x3 as if it were x:
Answer:
(x³ - 5)(x³ + 4)
Step-by-step explanation:
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x³ term (- 1)
The factors are - 5 and + 4, since
- 5 × 4 = - 20 and - 5 + 4 = - 1, hence
- x³ - 20 = (x³ - 5)(x³ + 4)
Answers
Answer:
The expression that gives the number of bagels is 6b.
Step-by-step explanation:
The given table is ;
6 36
7 42
8 48
b ----
Let 'b' represents the bagels in any number of half dozen.
Let the total number of bagels be represented by x.
Now, we can represent the situation as follows:
The expression that gives the number of bagels is 6b.
We can check this also.
When b = 7, we get x = 42
when b = 8, we get x = 48
9×6=54
(6 is a half dozen)
The table shows that each part it multiplied by 6,
6×6=36
7×6=42
8×6=48
(b) represents nine, and six is a half a dozen, so,
(b)9×6 (half a dozen)
Answers
Answer:
z = 52
Step-by-step explanation:
x + 38 = 90 because it is a complementary angle.
So, we just need to subtract 38 from 90:
90 - 38 = x
90 - 38 = 52