Answer:
{-14, 4}
Step-by-step explanation:
the absolute value function only makes sure that the result always has a positive sign.
so, (x + 5) must be either +9 or -9 to make the original equation true. the absolute value would turn both into +9.
so,
x + 5 = 9
x = 4
and
x + 5 = -9
x = -14
that gives us the correct set of solutions as indicated above.
4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
Answer:
type of angles is complementary
equation is (3x-5)+x=90
x=23.75
Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3
Answer:
3-10-(15) equals 8.
Step-by-step explanation:
3-10 equals -7. Then -(-15) becomes a positive because two negatives make a positives producing +15 so it becomes -7+15 which finally becomes 8.
