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irga5000 [103]
3 years ago
12

Find the areas of the trapezoids.

Mathematics
1 answer:
Murrr4er [49]3 years ago
7 0
I believe it’s 10.5
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Use the rule to find the naxt five terms in pattern: 10,18,26,34,......
Alinara [238K]
The rule seems to be to add 8. 10+8=18+8=26+8=34+8=42. I hope this helps!
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3 years ago
f is a differentiable function on the interval [0, 1] and g(x) = f(4x). The table below gives values of f '(x). What is the valu
polet [3.4K]

The table is attached in the figure.

    g(x) = f(4x) ⇒⇒⇒ differentiating both sides with respect to x

∴  g'(x) = \frac{d}{dx} [f(x)] * \frac{d}{dx} [4x]=4*f'(x) ⇒⇒⇒⇒⇒⇒ chain role

To find g '(0.1)

Substitute with x = 0.1

from table: 

f'(0.1) = 1 ⇒ from the table

∴  g'(0.1) = 4 * [ f'(0.1) ]  = 4 * 1 = 4

5 0
3 years ago
A rectangle has vertices E (-4,8), F(2,8), G(2,-2) and H (-4,-2). The rectangle is dilated with the origin as the center of dila
bezimeni [28]

Answer:

3.5

Step-by-step explanation:

The

3 0
3 years ago
Find the indicated function values for the function f(x) = 3x² + 2x - 6.
Mariulka [41]

The function values for the function f(x) = 3x² + 2x - 6, for the values are:

a. f(0) = -6

b. f(2) = 10

c. f(-4) = 34

d. f(b) = 3b² + 2b - 6

e. f(4a) = 48a² + 8a - 6

<h3>How are function values calculated?</h3>

To calculate function value f(k) for a function f(x), we substitute variable x = k, in the function f(x).

<h3>How to solve the question?</h3>

In the question, we are asked to find the function value for the function f(x) = 3x² + 2x - 6 for:

a. f(0)

b. f(2)

c. f(-4)

d. f(b)

e. f(4a).

We calculate these in the following ways:-

a. f(0):

We substitute the value of x = 0 in the function f(x).

Therefore f(0) = 3(0)² + 2(0) - 6,

or, f(0) = 0 + 0 - 6 = -6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>-6</u>.

b. f(2):

We substitute the value of x = 2 in the function f(x).

Therefore f(2) = 3(2)² + 2(2) - 6,

or, f(2) = 12 + 4 - 6 = 10.

Therefore, the function value f(2) for the function f(x) = 3x² + 2x - 6 is <u>10</u>.

c. f(-4):

We substitute the value of x = -4 in the function f(x).

Therefore f(-4) = 3(-4)² + 2(-4) - 6,

or, f(-4) = 48 - 8 - 6 = 34.

Therefore, the function value f(-4) for the function f(x) = 3x² + 2x - 6 is <u>34</u>.

d. f(b):

We substitute the value of x = b in the function f(x).

Therefore f(b) = 3(b)² + 2(b) - 6,

or, f(b) = 3b² + 2b - 6.

Therefore, the function value f(b) for the function f(x) = 3x² + 2x - 6 is <u>3b² + 2b - 6</u>.

e. f(4a):

We substitute the value of x = 4a in the function f(x).

Therefore f(4a) = 3(4a)² + 2(4a) - 6,

or, f(0) = 48a² + 8a - 6.

Therefore, the function value f(0) for the function f(x) = 3x² + 2x - 6 is <u>48a² + 8a - 6</u>.

Learn more about finding function values at

brainly.com/question/27943419

#SPJ2

4 0
2 years ago
Read 2 more answers
The probability of a particular manufactured product being defective is 1/100. How many defective products would be expected in
aksik [14]

Answer:

15

Step-by-step explanation:

Just divide 1500 by 100

5 0
2 years ago
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