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harina [27]
3 years ago
13

What is the value of y for the point with an x-value of 3?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

Answer:

for x =3  y = 4

Step-by-step explanation:

Go across to x = 3

Then go up until you reach a dot

The got left to read the y value

for x =3  y = 4

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Let f ( ) sin(arctan ) x x = . What is the range of f ?
nikklg [1K]
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>

And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
so there's your domain</span>
5 0
2 years ago
a marrow plants 0.5 m long. every week it grows by 20%. a find the value of the common ratio. b calculate how long the plant is
OLga [1]

Answer:

The common ratio is 1.2.

After 12 weeks the plant will be 4.46 meters long.

After one year the plant will be 6,552.32 meters long.

Step-by-step explanation:

Given that a marrow plants 0.5 m long and every week it grows by 20%, to find the value of the common ratio, calculate how long the plant is after 12 weeks and comment on the predicted length of the marrow after one year must be performed the following calculations:

0.50 x 1.2 ^ X = Y

Therefore, the common ratio is 1.2.

0.50 x 1.2 ^ 12 = Y

0.50 x 8.916 = Y

4.4580 = Y

Therefore, after 12 weeks the plant will be 4.46 meters long.

0.50 x 1.2 ^ 52 = Y

0.50 x 13,104.63 = Y

6,552.32 = Y

Therefore, after one year the plant will be 6,552.32 meters long.

5 0
2 years ago
What is 9.33 as a fraction
kvv77 [185]
Well,

We can read 9.33 as 9 and 33 hundredths.

In fraction form that would be:
9  \frac{33}{100}

That is already simplest form.

If you meant 9. \overline{3}, then it would be:
9  \frac{1}{3}

4 0
3 years ago
The time spent watching television in hours on a daily basis of eight different people was used to create the box plot shown abo
kozerog [31]

a time watching television d

7 0
2 years ago
ziggy sells coffee and donuts , the total number of cofees and donuts ziggy sells today is 100. Ziggy charges 3$ for coffee and
sergejj [24]
You use a system of equations
x= coffee
y= donuts
x+y=100
3x+y=180
there’s 3 ways to solve system of equations substitution graphing and elimination. it would be easiest to use substitution here. So you multiply x+y=100 by -1 so it become -x-y=-100. then you combine it with the other equation and get 2x=80 so x=40 which means 40 cups of coffee were sold then you plug it back in to find y. 40+y=100. y=60.
y= 60 (donuts). x= 40 (coffee)
6 0
3 years ago
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