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NeX [460]
2 years ago
5

3) Express the left side as a square: x - 4x+1=0

Mathematics
1 answer:
salantis [7]2 years ago
8 0

Answer:

work it step btmy step i dont kno the answer

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Solve for x. NEED ANSWER ASAP TYY SO MUCH IN ADVANCE
Serjik [45]

Answer:

x = 10√3

Step-by-step explanation:

Because of the right angles, we can use Pythagoras

30² - x² = y²  (a) Largest triangle

y² - 20² = h² (b) Medium triangle

substitute y² from (a) into (b)

30² - x² - 20² = h²

500 - x² = h²  (d)

x² - h² = (30 - 20)² (c) smallest triangle

substitute h² from (d) into (c)

x² - (500 - x²) = 100

2x² = 600

x² = 300

x = 10√3

4 0
3 years ago
Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 at
Amiraneli [1.4K]

Answer:

The cubic function is f(x) = (27/32)·x  - 3/32·x³ - -9/32·x² - 9/32

Step-by-step explanation:

The given function is f(x) = a·x³ + b·x² + c·x + d

By differentiation, we have;

3·a·x² + 2·b·x + c = 0

3·a·(-3)² + 2·b·(-3) + c = 0

3·a·9 - 6·b + c = 0

27·a - 6·b + c = 0

3·a·(1)² + 2·b·(1) + c = 0

3·a + 2·b + c = 0

a·(-3)³ + b·(-3)² + c·(-3) + d = -3

-27·a + 9·b - 3·c + d = -3...(1)

a + b + c + d = 0...(2)

Subtracting equation (1) from equation (2) gives;

28·a - 8·b + 4·c = 3

Therefore, we have;

27·a - 6·b + c = 0

3·a + 2·b + c = 0

28·a - 8·b + 4·c = 0

Solving the system of equations using an Wolfram Alpha gives;

a = -3/32, b = -9/32, c = 27/32 from which we have;

a + b + c + d = 0 3 × (-3/32) + 2 × (-9/32) + (27/32) + d = 0

d = 0 - (0 3 × (-3/32) + 2 × (-9/32) + (27/32)) = -9/32

The cubic function is therefore f(x) = (-3/32)·x³ + (-9/32)·x² + (27/32)·x + (-9/32).

4 0
2 years ago
Alexia's bathroom has a tub in the shape of a rectangular prism with a length of 1.5 meters, a width of 0.5 meter, and a height
disa [49]
The answer would be 0.3m^3 . Good luck! :)
5 0
3 years ago
Answers are highly appreciated!
Ksenya-84 [330]
C
Because I had this question
6 0
2 years ago
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The friends Sandra, Steffi, Senna, Ozlem, Janina and Nina are 91 years old together. Sandra and Janina as well as Ozlem and Stef
Alex_Xolod [135]
My b i jus need to answer a q for i can ask one
7 0
3 years ago
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