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3 years ago

Solve for the variable. You do not have to show your work: 4/w = 10

Mathematics

2 answers:

SVEN [57.7K]3 years ago

8 0

Answer:

2/5 =w

Step-by-step explanation:

4/w = 10

Multiply each side by w

4/w *w = 10*w

4 = 10w

Divide by 10

4/10 = 10w/10

2/5 =w

zaharov [31]3 years ago

7 0

Hi there!

»»————-　★　————-««

I believe your answer is:

$w=\frac{2}{5}$

»»————-　★　————-««

Here’s why:

We will use inverse operations to solve for the variable 'w'.

⸻⸻⸻⸻

$\boxed{\text{Calculating the Answer...}}\\\\\frac{4}{w}=10\\-----------\\\rightarrow (\frac{4}{w})w =10*w\\\\\rightarrow 4 = 10w\\\\\rightarrow 10w=4\\\\\rightarrow\frac{10w=4}{10}\\\\\rightarrow w=\frac{4}{10}\\\\-----------------\\\frac{4}{10}\text{ can be simplified.} \\\\\rightarrow\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}\\-----------------\\\\\rightarrow\boxed{w=\frac{2}{5}}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

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3 years ago

Use the graph of f at the right to complete each of the parts (a) through (h)

Maru [420]

Answers:

a. The domain of f is ]-∞ , ∞[

b. The range of f is [-4 , ∞[

c. f(1) = 5

d. The vales of x for which f(x) is -3 are 7 and 9

e. The points at which the graph crosses the x-axis are (6,0) and (10,0)

f. The point where the graph of f crosses the y-axis is (0,5)

g. The values of x for which f(x) < 0 are ]6 , 10[

h. f(-7) is positive

Explanation:

Part a:

The domain of the function refers to all the possible x-values that can be used as an input for this function.

Taking a look at the graph, we can see that the graph extends endlessly from both ends of the x-axis. This means that all x-values can be used as a domain for the function. In other words, the domain of the function is all the real numbers.

In interval notation, this is written as:

Domain = ]-∞ , ∞[

Part b:

The range of the function refers to all the possible y-values that can be used as an output for the function.

From the graph, we can note that the function extends endlessly in the direction of the positive y-axis while it stops at a value of -4 in the direction of the negative y-axis.

This means that the range of the function starts from -4 (included) and extends to positive infinity.

In interval notation, this is written as:

R = [-4 , ∞[

Part c:

f(1) means that we are looking for the output (the value of y) for which the input (the value of x) is 1.

From the graph, we start by searching for x=1 (first square edge after the origin) and then move vertically till we intersect the graph.

Doing this, we will find that the value of y at x=1 is 5

Therefore:

f(1) = 5

Part d:

f(x) = -3 means that the output value (the value of the y) for the certain input (value of x) is -3

To get the value of x, we go y=-3 and move horizontally till we intersect the graph.

Doing this, we will find that the value of y is -3 at x = 7 and x = 9

Part e:

The points where the graph crosses the x-axis are the points that have y-value equal to 0

Checking the graph, we can note that the function crosses the x-axis at two points which are (6,0) and (10,0)

Part f:

The point where the graph crosses the y-axis is the point that has x-value equal to 0

Checking the graph, we can note that the function crosses the y-axis at only one point which is (0,5)

Part g:

f(x) < 0 means that the output of the function (the y-value) is less than 0 (0 is not included)

Taking a look at the graph, we can note that the function has negative output on the interval from 6 (excluded) to 10 (excluded)

In interval notation, this is written as ]6 , 10[

Part h:

f(-7) means the output of the function (the y-value) at input (x-vale) equal to -7

From the graph, we can note that the function has a constant value of 5 starting from x=5 till -∞

This means that, at x=-7, the value of y is 5 which is a positive value

Hope this helps :)

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