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3 years ago

Which are examples of variables? +, -, -, - x, y, ac 3,6,9, 12 4 + 6 - 2 = 8

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

Answer: x, y, ac.

Step-by-step explanation:

Variables are letters that represent a hidden number. They are mostly made of letters.

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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

4 years ago

Charley and Sarah went to the candy store.

Pepsi [2]

Answer:

rtt6655r55

Step-by-step explanation:

4 0

4 years ago

Find the value of x and y

weqwewe [10]

Step-by-step explanation:

all work is shown and pictured

3 0

3 years ago

Can you think of any 2x2 matrices d for which cd = dc for all 2x2 matrices c? give 2 different examples of such matricesd.

Ksju [112]

For any arbitrary 2x2 matrices $\mathbf C$ and $\mathbf D$ , only one choice of $\mathbf D$ exists to satisfy $\mathbf{CD}=\mathbf{DC}$ , which is the identity matrix.

There is no other matrix that would work unless we place some more restrictions on $\mathbf C$ . One such restriction would be to ensure that $\mathbf C$ is not singular, or its determinant is non-zero. Then this matrix has an inverse, and taking $\mathbf D=\mathbf C^{-1}$ we'd get equality.

6 0

3 years ago

7k÷3=21. What is the value of k?

viva [34]

7k/3 = 21
x 3 x3
7k = 63
/7 /7
k = 9
(7(9)/3 = 21 = 63/3 = 21 = 21 = 21)

5 0

3 years ago

Read 2 more answers