Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
The solution to the equation f(x) = g(x), where f(x) = −x² + 4x + 12 and g(x) = x + 2, is x = 5. To find this, set the equations equal to each other, simplify, and then factor to solve for x.
To find the solution to the equation f(x) = g(x), we need to set the formulas given for each function equal to each other and then solve for x. We are given f(x) = −x² + 4x + 12 and g(x) = x + 2, so we write out the equation as follows:
−x² + 4x + 12 = x + 2
Now we need to solve this equation for x. First, let's simplify by gathering all terms to one side of the equation:
−x² + 4x - x + 12 - 2 = 0
This simplifies to −x² + 3x + 10 = 0
Next, we'll factor this quadratic equation to solve for x: -(x – 5)(x + 2) = 0.
Setting each factor equal to zero gives the solution: x = 5, x = -2. Looking back at the original options, only x = 5 is a viable option.
#SPJ3
Answer:
1. 1/2÷1/2= 1/2×2/1=1 reciprocal
So first answer is one
2. 500 × 75/100
=500×3/4
4 divides 500 into 125
Then 125 × 3 = 375
So in the theatre 375 seats are occupied
Step-by-step explanation:
Answer:
Step-by-step explanation:
Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.
hope this helps you for a math problem~
: )
Answer:
angle ADE is congruent to angle ABE
Step-by-step explanation:
corresponding parts of congruent triangles are congruent.
plz help asap
Answer:
60
Step-by-step explanation:
Use Rules of BODMAS.
Do multiplications first and then do the subtractions
The relationship between angles 6 and 7 depends on the context and could be complementary, supplementary, opposite angles, or have another relationship based on their geometric configuration.
The relationship between angles 6 and 7 depends on the context in which they are being discussed. Without further information, it is difficult to determine the specific relationship between these angles. It is possible that angles 6 and 7 could be complementary, supplementary, opposite angles, or have another relationship based on their geometric configuration.
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Answer: D; vertical angles
Step-by-step explanation: We could conclude thee are vertical angles because of the same measurement of each we could also see that they correspond each other and are therefore similar angles.
Concluding, that the answer would be D; vertical angles
Hope this helps
<3
-Carrie
P.S. It would mean a lot if you marked brainliest