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LUCKY_DIMON [66]
3 years ago
5

Solve for b a=b-4/c

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

Rewrite the equation as

3

b

+

4

c

=

a

.

3

b

+

4

c

=

a

Subtract

4

c

from both sides of the equation.

3

b

=

a

−

4

c

Divide each term by

3

and simplify.

Tap for more steps...

b

=

a

3

−

4

c

3

Step-by-step explanation:

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Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at  (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0
3 years ago
What is 86,503 when writing in expanded
Bezzdna [24]

Answer:

86 thousand 5 hundred and 3

Step-by-step explanation:

7 0
2 years ago
If m∠c=11x+85/3 and x=13 then what type of angle is c please help me with this
GuDViN [60]

Answer:

Acute angle

Step-by-step explanation:

Given that m<C = \frac{11x + 85}{3}, to find out the type of angle angle C is, evaluate the expression given by substituting x = 13, in the expression.

m<C = \frac{11x + 85}{3}

m<C = \frac{11(13) + 85}{3}

m<C = \frac{228}{3}

m<C = 76°

Acute angles are less than 90°.

m<C is less than 90°, therefore it is an acute angle.

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