Find (f×g)(x) when f(x)=x^2+8x+15 and g(x)=5 over x^2-9
Answers
Final answer:
To find the product of two functions, substitute the given functions into the expression and simplify.
Explanation:
To find (f×g)(x), we need to multiply the functions f(x) and g(x). First, let's substitute f(x) = x^2 + 8x + 15 and g(x) = 5/(x^2 - 9) into the expression. (f×g)(x) = (x^2 + 8x + 15) × (5/(x^2 - 9)).
Next, we simplify the expression by multiplying the numerators and denominators. (f×g)(x) = 5(x^2 + 8x + 15) / (x^2 - 9).
We can further simplify by factoring the numerator and denominator if possible. If not, we can leave the expression as is. Therefore, (f×g)(x) = 5(x + 5)(x + 3) / (x - 3)(x + 3).
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-x + 2 + 5x= 10 (x - 4) solve for x
Please help only have 10 mins to finish this test
Find the slope of the line that passes through the points (2, 1) and (-4, -5). -1 1 7/5
Input the equation of the given line in standard form. The line with m = -3/4 and b = -2.
Answers
Answers
3/5b - 7 = a
Answers
- 3.204
10.8
----------
12.996 ?
27.000
- 3.204
=23.796
-10.8
=12.996
2^2x = 8^x-1
Answers
and
if a^x=a^y where a=a, then x=y so
make bases the same
2^(2x)=8^(x-1)
8=2^3
8^(x-1)=(2^3)^(x-1)=2^(3(x-1))
2^(2x)=2^(3(x-1))
threfor
2x=3(x-1)
2x=3x-3
0=x-3
3=x
84=42+ x/3
Answers
84
=
42
+
x
3
Step 1: Simplify both sides of the equation.
84
=
42
+
x
3
84
=
42
+
1
3
x
84
=
1
3
x
+
42
Step 2: Flip the equation.
1
3
x
+
42
=
84
Step 3: Subtract 42 from both sides.
1
3
x
+
42
−
42
=
84
−
42
1
3
x
=
42
Step 4: Multiply both sides by 3.
3
*
(
1
3
x
)
=
(
3
)
*
(
42
)
x
=
126
Answer:
x
=
126
Answers
Answer:
An equation whose variables are polar coordinates is called a polar equation.
Step-by-step explanation:
Polar Equation--
A polar equation is a equation that describe the relationship between r and θ, where r is the distance from the pole to a point on a curve and θ is the angle subtended by that point with respect to the x-axis.
Hence, here r,θ acts as a variable of the equation.
So, we can change any rectangular equation in terms of variable x and y into the polar equation in terms of variable r and θ by using the transformation:
x=r cosθ and y=r sinθ.