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Leona [35]
3 years ago
7

Juan has 20 books to sell. He sells the books for $15 each. The amount of money Juan makes from selling booka is represented by

a funtion. f(x)=15x What is the practical range in the function?
Mathematics
1 answer:
lana [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Juan has 20 books to sell. He sells the books for $15 each.

The range of the function is the set of all possible values of the dependent variable. The dependent variable here is the amount of money that is made and this amount depends on

the number of books, x sold

The amount of money Juan makes from selling books is represented by a fucntion. f(x)=15x

The maximum amount that can be made from 20 books at a rate of $15 each would be 20×15 = $300

The minimum amount that fan be made is $0 and this is when no book is sold. Let y = f(x). So the range is

0 lesser than or equal to y lesser than or equal to 300

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Which restriction is appropriate for the variable 4a + 12 / a + 3
bonufazy [111]

I'll presume the slash is the fraction bar and the questioner is asking about

\dfrac{4a+12}{a+3}

That always equals 4 except when a=-3

So the restriction is

Answer:  a ≠ -3

5 0
2 years ago
Read 2 more answers
If a bird is on the ground, 7 ft away from a 10 ft tall tree, then what is the angle (to the
iren2701 [21]

Answer:

The angle is 55°

Step-by-step explanation:

To find the angle at which a bid is looking up on top of a tree that is 10feet tall if the bird is on the ground 7 feet away from the tree, we will follow the steps below:

we will use trigonometric ratio to find the angle

SOH CAH TOA

sinФ = opposite / hypotenuse

cosФ = adjacent / hypotenuse

tanФ = opposite /adjacent

from the diagram below, opposite = 10 feet   and   adjacent = 7 feet

the best trig.ratio to use is tan

tanФ = opposite /adjacent

tanФ = 10 /7

tan Ф =1.42857

to get the value of  Ф, we will take the tan⁻¹  of both-side

tan⁻¹ tan Ф = tan⁻¹ 1.42857

Ф= tan⁻¹ 1.42857

Ф≈55°

Therefore, the angle is 55°

4 0
3 years ago
Find an equation of the line through these points (15,2.2) (5,1.6). Write answer in a slope-intercept form
nadya68 [22]

Answer:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1} where two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (15,2.2) and (5,1.6):

m=\frac{\displaystyle 1.6-2.2}{\displaystyle 5-15}\\\\m=\frac{\displaystyle -0.6}{\displaystyle -10}\\\\m=\frac{\displaystyle 0.6}{\displaystyle 10}\\\\m=\frac{\displaystyle 0.3}{\displaystyle 5}\\\\m=\frac{\displaystyle 3}{\displaystyle 50}

Therefore, the slope of the line is \frac{\displaystyle 3}{\displaystyle 50}. Plug this into y=mx+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\frac{\displaystyle 3}{\displaystyle 50}x+b

Plug in a given point and solve for b:

1.6=\frac{\displaystyle 3}{\displaystyle 50}(5)+b\\\\1.6=\frac{\displaystyle 3}{\displaystyle 10}+b\\\\1.6-\frac{\displaystyle 3}{\displaystyle 10}=\frac{\displaystyle 3}{\displaystyle 10}+b-\frac{\displaystyle 3}{\displaystyle 10}\\\\\frac{\displaystyle 13}{\displaystyle 10}=b

Therefore, the y-intercept is \frac{\displaystyle 13}{\displaystyle 10}. Plug this back into y=\frac{\displaystyle 3}{\displaystyle 50}x+b:

y=\frac{\displaystyle 3}{\displaystyle 50}x+\frac{\displaystyle 13}{\displaystyle 10}

I hope this helps!

5 0
3 years ago
A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full. What is the weight of the empty bottle?
sweet [91]

Answer:

Weight of empty bottle = 0.8 kg

Weight of water = 1.6 kg

Step-by-step explanation:

As given , A bottle weighs 1.2 kg when it is 1/4 full of water. It weighs 2.4 kg when it is full.

Let us assume

Weight of empty bottle = x

Weight of water = y

Now,

when the bottle is 1/4 full of water

then,

weight of water = \frac{1}{4}×y

As given , Bottle weight = 1.2 , when it is 1/4 full of water

⇒ Weight of water + weight of bottle = 1.2

⇒ \frac{1}{4}×y + x = 1.2

⇒ y + 4x = 4.8      .......(1)

Also given, A bottle weight = 2.4 , when it is full of water

⇒ Weight of water + weight of bottle = 2.4

⇒ y + x = 2.4        ......(2)

Subtract equation (2) from equation (1) , we get

y + 4x - ( y+ x) = 4.8 - 2.4

⇒ y + 4x - y - x = 2.4

⇒3x = 2.4

⇒x = \frac{2.4}{3} = 0.8 kg

and y = 2.4 - x = 2.4 - 0.8 = 1.6 kg

∴ we get

Weight of empty bottle = x = 0.8 kg

Weight of water = y = 1.6 kg

4 0
3 years ago
Math test! i need help!
FrozenT [24]

Answer:

First option

Step-by-step explanation:

Have a nice day

8 0
2 years ago
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