Answer:
4/5
Step-by-step explanation:
120/30=4
150/30=5
120/150=4/5
Answer:
n = - 10
Step-by-step explanation:
10(-3n + 8) = 380
-30n + 80 = 380
80 - 380 = 30n
30n = - 300
n = - 300 : 30
n = - 10
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
Answer:
4: 32a^5 5: 2a / bc^2
Step-by-step explanation:
4. (2a)^3 / (2a)^-2
= (2a)^3 * (2a)^2
= 8a^3 * 4a^2
= 32a^5
5. 10a^7 b^9 c^6 / 5a^6 b^10 c^8
= 2a^7 b^9 c^6 / a^6 b^10 c^8
= 2a / bc^2
Hello:
x/4 = 28 .... x = 112
x/4 = 30 .... x = 120
x/4 = 32 .... x = 128
x/4 = 34 .... x = 136
x/4 = 36 .... x = 144
the domain is : <span>{112,120,128,136,144}</span>
