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Temka [501]
3 years ago
5

a yard is equal in lenght to three feet. The function f(x) takes a measurement in yards (as input) and returns a measurement in

feet (as output)​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

The value of f(15.4) is B. 46.2.

Step-by-step explanation:

Step 1:

f(x) is dependent on the value of x.

So x is independent while f(x) is dependent on x i.e. the value of f(x) depends on the value of x.

Step 2:

f(x)= 3x.

So if we have the value of x we can calculate the value of f(x). Here the value of x is given as 15.4 so f(x) when x equals 15.4 can be calculated.

f(x)= 3x, f(15.4) = 3(15.4),

3(15.4) = 46.2.

So the value of f(15.4) is 46.2 which is option B.

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Which of the following represents a function
Oksana_A [137]

Answer:

(2,3),(4,3),(-2,-3),(-4,-3)

Step-by-step explanation:

A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).

This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.

The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.

A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.

In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:

(5,1),(5,2),(5,3),(5,4)

Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.

6 0
2 years ago
The volume of a cylinder is given by the formula v =<img src="https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h" id="TexFormula1"
pashok25 [27]

Answer:

<h2>height = 110 feet </h2>

Step-by-step explanation:

From the question

Volume of the cylinder is given by

<h3>v = \pi  {r}^{2} h</h3>

To find the height first make h the subject

That's divide both sides by πr²

We have

<h3>h =  \frac{v}{\pi  {r}^{2} }</h3>

From the question

v = 35 ft³

r = 7 / 22

π = 22/7

Substitute the values into the above formula and solve for the height

That's

<h3>h = \frac{35}{ \frac{22}{7} \times  ({ \frac{7}{22} })^{2}  }  \\  =   \frac{35}{ \frac{22}{7} \times  \frac{49}{484}  }  \\  =  \frac{35}{ \frac{7}{22} }  \\  \ = 35 \div  \frac{7}{22}  \\  = 35 \times  \frac{22}{7}  \\  = 5  \times 22</h3>

We have the final answer as

<h3>110 feet</h3>

Hope this helps you

3 0
3 years ago
What is sixty three multiplied by forty nine
Dimas [21]
Sixty three multiplied by forty nine is 3,087
4 0
3 years ago
Read 2 more answers
Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie fun?
snow_lady [41]
1 hour = 3600 seconds

3 × 3600 = 10800

<span>10800 yards per hour
</span>
1 mile = 1760 yards

10800 ÷ 1760 =  6.13

6.13 miles per hour
5 0
3 years ago
Read 2 more answers
Simplify the expression 3/2 (5/3) -1 1/4 + 1/2 Given the answer as a simplified fraction. The simplified expression is a/b.
ella [17]
<h2>Hello!</h2>

The answer is:

The simplified fraction is:

\frac{7}{4}

<h2>Why?</h2>

To solve this problem we must remember the following:

- Addition or subtraction of fractions, we add or subtract fractions by the following way:

\frac{a}{b}(+-)\frac{c}{d}=\frac{ad(+-)bc}{bd}

- Product of fractions, the multiplication of fraction is linear, meaning that we should multiply the numerator by the numerator and denominator by denominator, so:

\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}

- Convert mixed number to fraction,

a\frac{b}{c}=a+\frac{b}{c}=\frac{ac+b}{c}

So, solving we have:

\frac{3}{2}*\frac{5}{3}-1\frac{1}{4}+\frac{1}{2}=\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{3*5}{2*3} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}\\\\\frac{15}{6} -1\frac{1}{4}+\frac{1}{2}=\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}\\\\\frac{15}{6} -(1+\frac{1}{4})+\frac{1}{2}=\frac{15}{6}-(\frac{4+1}{1*4})+\frac{1}{2}\\\\\frac{15}{6}-(\frac{4+1}{4})+\frac{1}{2}=\frac{15}{6}-\frac{5}{4}+\frac{1}{2}

\frac{15}{6}-\frac{5}{4}+\frac{1}{2}=(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}\\\\(\frac{5}{2}-\frac{5}{4})+\frac{1}{2}=(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}\\\\(\frac{(4*5)-(2*5)}{8})+\frac{1}{2}=(\frac{20-10}{8})+\frac{1}{2}\\\\(\frac{20-10}{8})+\frac{1}{2}=(\frac{10}{8})+\frac{1}{2}\\\\(\frac{10}{8})+\frac{1}{2}=\frac{5}{4}+\frac{1}{2}\\\\\frac{5}{4}+\frac{1}{2}=\frac{(5*2)+(4*1)}{2*4}\\\\\frac{(5*2)+(4*1)}{2*4}=\frac{10+4}{8}=\frac{14}{8}\\\\\frac{14}{8}=\frac{7}{4}

Hence, the simplified fraction is:

\frac{7}{4}

Have a nice day!

8 0
3 years ago
Read 2 more answers
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