The answer is 3 for all of them
Answer:
x=2
Step-by-step explanation:
8 + x = 4x +2
Subtract 4x from both sides:
8 + x - 4x = 4x + 2 - 4x
Group like terms:
x - 4x + 8 = 4x + 2 -4x
Simplify the arithmetic:
-3x + 8 = 4x + 2 -4x
Group like terms:
-3 + 8 = 4x - 4x + 2
Simplify the arithmetic:
-3x + 8 = 2
Answer:
Q1) x = 17.3
y = 8.7
Q2) d = 19
Step-by-step explanation:
Question 1
Angle = 60°
Hypotenuse = x
Adjacent = y
Opposite = 15
<u>Step 1: Find x</u>
Sin (angle) = opposite/hypotenuse
Sin (60°) = 15/x
x = 10√3 = 17.3
<u>Step 2: Find y</u>
Tan (angle) = opposite/adjacent
Tan (60°) = 15/y
y = 5√3 = 8.7
Question 2
<u>Step 1: Find the diagonal of the base</u>
c² = a²+b²
c² = 6² + 10²
c = 2√34 = 11.7
<u>Step 2: Find diagonal d</u>
c² = a² + b²
d² = 11.7² + 15²
d = 19
!!
The answer is -8
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Explanation:
There are two ways to get this answer
Method 1 will have us plug x = 0 into h(x) to get
h(x) = x^2 - 4
h(0) = 0^2 - 4
h(0) = 0 - 4
h(0) = -4
Then this output is plugged into g(x) to get
g(x) = 2x
g(-4) = 2*(-4)
g(-4) = -8 which is the answer
This works because (g o h)(0) is the same as g(h(0)). Note how h(0) is replaced with -4
So effectively g(h(0)) = -8 which is the same as (g o h)(0) = -8
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The second method involves a bit algebra first
Start with the outer function g(x). Then replace every x with h(x). On the right side, we will replace h(x) with x^2-4 because h(x) = x^2-4
g(x) = 2x
g(x) = 2( x )
g(h(x)) = 2( h(x) ) ... replace every x with h(x)
g(h(x)) = 2( x^2-4 ) ... replace h(x) on the right side with x^2-4
g(h(x)) = 2x^2-8
(g o h)(x) = 2x^2-8
Now plug in x = 0
(g o h)(x) = 2x^2-8
(g o h)(0) = 2(0)^2-8
(g o h)(0) = 2(0)-8
(g o h)(0) = 0-8
(g o h)(0) = -8
Regardless of which method you use, the answer is -8
Answer:
−58.73
Step-by-step explanation:
32−(15.53+7.41+35.79+32)
=−58.73