Answer:
a) The variable, M represents the amount of fish Ms. Montesinos has
b) The set equation is 11 + 2 = 3 × M - 2
c) 5
Step-by-step explanation:
The given parameters are;
The number of fishes in Ms. Cruz's tank = 11 fishes
The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes
a) Let the variable, M represent the amount of fish Ms. Montesinos has
b) The set up equation is as follows;
11 + 2 = 3 × M - 2
c) From the equation, 11 + 2 = 3 × M - 2, we have;
13 = 3·M - 2
3·M = 13 + 2 = 15
3·M = 15
M = 15/3 = 5
M = 5
The number of fishes Ms. Montesinos has is 17 fishes
A linear function is a function that creates a straight line when graphed. The difference between this graph and others is that this function is constant instead of curved. I’d like to see an example of this in the real world as a relationship between profit and merchandise.A quadratic function is a function that has multiple variables allowing the graph to curve. The difference between this function and the others is that this function is squared allowing for a greater curve that looks like a U. I’d like to see a example of this in the real world as missiles being launched since the curve is similar.A exponential function is a function in which the function grows at a fast rate. The difference between this function and the others is that this function curves in a constant rate then the x increases continuously. I’d like to see an example of this in the real world as the interest in a bank since it increases per month.
Answer:
(fog)(a) = a³ - 3a² + 4a - 2
= (a - 1)×(a² - 2a + 2)
Step-by-step explanation:
<u><em>Given</em></u> :
g(a) = a -1
f(a)= a³ +a
…………………………
(fog)(a) = f(g(a)))
= g(a)³ + g(a)
= (a - 1)³ + (a - 1)
= (a³ - 3a² + 3a - 1) + (a - 1)
= a³ - 3a² + 3a - 1 + a - 1
= a³ - 3a² + 3a + a - 1 - 1
= a³ - 3a² + 4a - 2
<u><em>Second method</em></u> :
(fog)(a) = f(g(a)))
= f(a - 1)
= (a - 1)³ + (a - 1)
= (a - 1)×[(a - 1)² + 1]
= (a - 1)×[a² - 2a + 1 + 1]
= (a - 1)×(a² - 2a + 2)
Answer:
Irrational Number: A number that cannot be written as a fraction
a
b
(where b ≠ 0), a repeating decimal, or a terminating decimal.
Rational Number: A number that can be written as a fraction
a
b
(where b ≠ 0), a repeating decimal, or a terminating decimal.
Repeating Decimal: A decimal where, when dividing, a digit or group of digits repeats without end in the quotient; there is a pattern in the digits that repeat without end.
Terminating Decimal: A decimal that, when dividing, ends with a remainder of zero.
Perfect cube: A number that is made by cubing a number: a3 = a • a • a.
Perfect square: A number that is made by squaring a number: a2 = a • a.
Cube Root:
if a3 = b, then a = 3√b
For principal square root this was the best I could do: The principle of square roots requires that the square root of the side with the unknown (x) only includes x without any exponent (other than 1). The simplest form that fits this criterion is: but x can also be an expression.
I hope this helps :3
That's not a question ,that's a statement.
