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avanturin [10]
3 years ago
12

At what point will f(x) = 3^x exceed g(x) = 2x + 5 and h(x) = x^2 +4?

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer: B ( 2,9) .

Step-by-step explanation:

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Solve the equations if possible <br><br> * -5×=×+6(1-×)<br><br> *(2×-5)²=(2×-1)(2×+1)-10(2×-1)
Allushta [10]
-5x = x + 6(1-x)

-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6  Not equal. No solution.

(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9

Not equal. No solution.

8 0
3 years ago
Please help!!! I would like an explanation along with your answer. Thanks
Tpy6a [65]

Answer:

11.2 feet

Step-by-step explanation:

The two furthest corners of the bed are at (8, 6) and (5, 10).  To determine which is the furthest from the origin, use the distance formula.

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((8 − 0)² + (6 − 0)²)

d = 10

d = √((x₂ − x₁)² + (y₂ − y₁)²)

d = √((5 − 0)² + (10 − 0)²)

d = 5√5

d ≈ 11.2

Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.

8 0
3 years ago
Which graph shows a linear function?
dimulka [17.4K]

Answer:

I this that its the third graph

8 0
3 years ago
A circle has a diameter of 16 mm. How long is its radius?
konstantin123 [22]
Radius = half of diameter
16 mm/2 = 8 mm
Solution: 8 mm
8 0
3 years ago
Read 2 more answers
18.
Katena32 [7]

Answer:

y = 10

Step-by-step explanation:

y= 2x + 1 \\  x = 5 \:  \\ substitude \: 5 \: to \: the \: value \: of \: x \\ y = 5 \times 2 + 1 = 10 \\

5 0
3 years ago
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