Answer:
y = -3
x = 
Step-by-step explanation:
4(y + 
) - 2y = 8 Distribute the 4. Multiply everything in the parentheses by 4
4y + 14 - 2y = 8 4
= 
= 14 Combine the like terms 4y and -2y
2y + 14 = 8 Subtract 14 from both sides
2y = -6 Divide both sides by 2
y = -3
Plug -3 in for y in either original equation.
4x - 2y = 8
4x -2(-3) = 8
4x + 6 = 8 Subtract 6 from both sides
4x = 2 Divide both sides by 4
x = 
=
Check:
x = y +
= -3+
= 
+
=
4x - 2y = 8
4() - 2(-3) = 8
2 + 6 = 8
8 = 8
The correct answer is the larger one is 30 and the smaller one is 12 because 42-18 gives you 24 so you do 24/2 you get 12 so you add 18 to one of the 12s and you get the answer as 12 and 30
factor the 2 denominators:-
a^2 - 6a + 9 = (a - 3)(a - 3)
a^2 - 8a + 15 = (a - 3)(a - 5)
((a - 3) is common to both sets of factors so the LCD is:-
(a - 3)(a - 3)(a - 5) or this can be written as (a -3)^2(a - 5)
9514 1404 393
Answer:
y = 3x^2 +30x +69
Step-by-step explanation:
Transformations work this way:
g(x) = k·f(x) . . . . vertical stretch by a factor of k
g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)
__
So, the translation down 2 units will make the function be ...
f(x) = x^2 ⇒ f1(x) = f(x) -2 = x^2 -2
The vertical stretch by a factor of 3 will make the function be ...
f1(x) = x^2 -2 ⇒ 3·f1(x) = f2(x) = 3(x^2 -2)
The horizontal translation left 5 units will make the function be ...
f2(x) = 3(x^2 -2) ⇒ f2(x +5) = f3(x) = 3((x +5)^2 -2)
The transformed function equation can be written ...
y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)
y = 3x^2 +30x +69
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The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came <em>before</em> the vertical scaling.
Answer: −a5lx+2a3lx+48 (assuming that the a and the la are variables)
Step-by-step explanation:
48+2xala2−xala4
=48+2a3lx+−a5lx
=−a5lx+2a3lx+48
