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Zepler [3.9K]
2 years ago
12

Can someone please help with this asap its worth a lot of points. (:

Mathematics
1 answer:
irina1246 [14]2 years ago
6 0

Answer:

5. They are not the same

6. They are the same

Step-by-step explanation:

5. The triangles internal angles are not the same, for triangle efg the 2 angles add to 133, leaving a third angle of 47, which is not the same as the angle in the other triangle of 57

6. If the two angles in triangle wxq are add, they add to 147, thereforw the last angle is 33, which is the same as the other triangle. The sides are also paralell so the sides are the same

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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
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weqwewe [10]

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Step-by-step explanation:

What we are doing is isolating the variable

4x+3=-5

4x-3=-3 subtract 3 from five

4x=-8 divide to solve x

x=-2

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