1.
<span>(x-4)^2 -28 = 8
</span>(x-4)^2 = 8 + 28 = 36
<span>(x-4) = +/-6
x = 6 + 4 or -6 + 4
x = 10 or -2
2.
Mistake in </span><span>Step 5: x – 3 = 16
</span><span>Step 4: (x – 3)² = 16
</span><span>Step 5: (x – 3) = +/-4
Step 6: x = 4 + 3 or -4 + 3
Step 7: x = 7 or -1
3.
</span><span>x^2 - 4x + 3 = 0
</span><span>quadratic eqn x = [-b +/- sqrt(b^2-4ac)]/2a
where in this case
a = 1, b = -4, c = 3
x = </span> [-(-4) +/- sqrt((-4)^2-4*1*3)]/2*1
= [4 +/- sqrt(16 - 12)]/2
<span>= [4 +/- sqrt(4)]/2
= [4 +/- 2]/2
= 6/2 or 2/2
= 3 or 1
</span>
Answer:
C
Step-by-step explanation:
Answer:
4/3
Step-by-step explanation:
TanC = opposite/adjacent
TanC = 40/30 ➡ 4/3
6y = x + 18
2y = x + 6 subtract :-
4y = 12
y = 3
substitute y=3 into second equation:-
6 = x + 6
so x = 0
solution is x=0.y=3
Answer:
Step-by-step explanation:
Given the equation y = 0.18x, to solve for x, we will make the variable x as the subject of the formula from the equation given.
From the equation y = 0.18x
Divide both sides by the coefficient of x i.e 0.18
y/0.18 = 0.18x/0.18
y/0.18 = x
Hence the function of the variable x = y/0.18
b) Given the amount of the bill as y and x is the tip in dollars.
Given y = $4.95, we are to substitute the value of y = $4.95 into the resulting function in (a) to get x as shown;
Since x = y/0.18
x = $4.95/0.18
x = $27.5
<em>Hence the bill is $27.5</em>