Answer: b= 58a (divided 348 by 6 and take the equation b = ka and substitute k with 58)
<h2>
Answer: g(f(2)) = 11</h2>
Step-by-step explanation:
g(f(2)) is substituting the value of f(2) for x in g(x). But we must first find f(2).
We know that f (x) = ax² - 12
Since f(3) = 24
⇒ a(3²) - 12 = 24
9 a = 36
a = 4
∴ f(2) = (4)(2²) - 12
= 4
⇒ g(f(2)) = 2(4) + 3
= 11
Answer:
y=
x +4
Step-by-step explanation:
Answer:
x = 0
y = -2
Step-by-step explanation:
The given system of equation are:
5x + y = -2
2x - 2y = 4
The problem here is to find x and y from the expression
5x + y = -2 ----- i
2x - 2y = 4 ---- ii
So;
i x 2 : 10x + 2y = -4 ---- iii
ii x 5 : 10x - 10y = 20 ----- iv
iii - iv; 12y = -24
y = -2
Now find x;
5x + y = -2
5x - 2 = -2
x = 0
In order to reduce ANY fraction to lowest terms, find any common factors
of the numerator and denominator, and divide them both by it. If they still
have a common factor, then divide them by it again. Eventually, they won't
have any common factor except ' 1 ', and then you'll know that the fraction is
in lowest terms.
Do 15 and 40 have any common factors ?
Let's see . . .
The factors of 15 are 1, 3, <em>5</em>, and 15 .
The factors of 40 are 1, 2, 4,<em> 5</em>, 8, 10, 20, and 40 .
Ah hah ! Do you see that ' <em>5</em> ' on both lists ? That's a common factor.
So 15/40 is NOT in lowest terms.
Divide the numerator and denominator both by 5 :
15 / 40 =<em> 3 / 8</em>
3 and 8 don't have any common factor except ' 1 '.
So 3/8 is the same number as 15/40, but in lowest terms.
