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2 years ago

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Mathematics

1 answer:

Rudik [331]2 years ago

4 0

1. The simplified form of -x + 4 is: B. - x + 4

2. B. 4 less than m

3. The property that illustrates the expression, 3 + x = x + 3, is: D. cumulative property of addition.

4. √3

<h3>What is the Commutative Property of Addition?</h3>

According to the Commutative Property of Addition, how numbers that are are added are ordered do not change or affect the sum of the numbers. For example, a + b = b + a.

1. To simplify -(x - 4) using the distributive property:

= -1(x) -1(-4)

= -x + 4

Therefore, the simplified form of -x + 4 is: B. - x + 4

2. m - 4 can be written as a phrase as: B. 4 less than m

3. The property that illustrates the expression, 3 + x = x + 3, is: D. cumulative property of addition.

4. Irrational numbers cannot be expressed, as a simple fraction. √3 cannot be expressed in simple fractions. Therefore, √3 is classified as: B. irrational.

Learn more about cumulative property of addition on:

brainly.com/question/778086

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3 years ago

Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined

Scorpion4ik [409]

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

Dom(f+g) = [-2, 5]

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

Dom(f+g) = [-2, 5]

3 0

3 years ago

Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$