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3 years ago

The mapping below represents all of the points on the graph of functionf.

Mathematics

1 answer:

Rom4ik [11]3 years ago

3 0

Answer:

$\{-4, -1, 0, 2, 7\}$

Step-by-step explanation:

The domain of the function is the set of all possible inputs for the function. Therefore, the set of all possible inputs is $\{-4, -1, 0, 2, 7\}$ .

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1) The cost of constructing a path 5 m broad inside the boundary of a square lawn at Rs 36.25 per sq. metre is Rs 90625. What is

Svetach [21]

Let , side lawn is a.

Area of boundary is :

$A=4\times5\times a\\\\A=20a\ m^2$

Now, total cost is given by :

$T=20a\times 36.25\\\\90625=725a\\\\a=125\ m$

Area left is :

$A'=a^2-20a\\\\A'=125^2-20\times 125\ m^2\\\\A'=13125\ m^2$

Price to empty space with turfs is :

$P=A'\times 20\\\\P=13125\times 20\\\\P=262500$

Therefore, the cost of covering the empty space with turfs at the rate of Rs 20 per sq. metre is Rs 262500.

Hence, this is the required solution.

3 0

3 years ago

A model of a skyscraper is 1.6 in long, 2.8 in wide, and 11.2 in high. The scale factor is 8 in : 250 ft. What are the actual di

____ [38]

At 8in to 250 feet the skyscraper converts to the following. 1.6 in/8 in x 250ft = 50 ft long 2.8in/8in x 250ft = 87.5 ft wide 11.2in/8in x 250ft = 350 ft high You get this because every 8 in is 250 feet so you need to calculate the ratio of scale to that 8in per 250 feet.

3 0

3 years ago

Randy buys a pair of shoes that were originally priced at $147. He receives a 35% discount and pays 8.5% sales tax. How much doe

maksim [4K]

Begin by subtracting 35% from 100%, giving 65% which is equivalent to 0.65
Then multiply
147 * 0.67 = 98.49
Now for a sales tax you would want to multiply by 108.5% (or 1.085) as you are paying the previous price and them some
98.49 * 1.085 = 106.86165
You can round to the second decimal place since you can't have a monetary value less than a penny
your answer would be $106.86

3 0

3 years ago

What is the value of x?

tigry1 [53]

Answer:

x = 61

Step-by-step explanation:

To answer this question, we combine like terms:

44 + 59 + 74 = 177

The total will have to be 360, so....

177 + x + x + x = 360

177 + 3x = 360

360 - 177 = 183

So, 3x = 183

183 / 3 = 61

So, x = 61!

4 0

3 years ago

Is the following function even, odd or neither? f(x)=x^3 +4x

erica [24]

Answer:

D, neither

Step-by-step explanation:

to determine whether a function is even, odd or neither, we need to know what it means

an even function is symmetric with respect to the y-axis

an odd function is symmetric with respect to the origin

to solve an equation to see if its even or odd, we would need to substitute x in the equation for -x.

in an even function when we substitute f(-x), it should be equal to to f(x)

in an odd function when we substitute f(-x), it should be equal to -f(x)

so lets test the function given to see if its even

f(x) = x³ + 4x

f(-x) = (-x)³ + 4(-x)

f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to the orignal function, we see that f(-x) = x³ - 4x is not even as we did not get the same output as the original function

now we should test to see if its odd. we have already seen what f(-x) is, now lets try -f(x) and compare it to f(-x) and f(x)

-f(x) = -(x³ + 4x) -->

-f(x) = -x³ - 4x ≠ f(-x) = x³ - 4x

f(-x) = x³ - 4x ≠ f(x) = x³ + 4x

comparing this to f(x) and f(-x), we see that it not odd as we did not get the same output

so the answer is D, neither even nor odd

6 0

3 years ago