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3 years ago

What is the initial value of the linear function that represents this situation

Mathematics

1 answer:

jekas [21]3 years ago

5 0

Answer:

As per the statement: Hannah already had 44 photos on her camera when she arrived in Rome.Then she took 24 photos each day for 6 days.

Let x represented day and y represents the number of photo

Total number of 24 photo in x days is, 24x

then; as per the given statement our equation becomes;

y = 24x+44 .....[1]

now, to find the total number of photos took by Hannah for 6 days in Rome;

put x = 6 in [1] we get;

y = 24(6) + 44 = 188

Therefore, the total number of photos on Hannah's Camera is, 188 photos.

To, find the initial value for the linear function y =24x +44.

Initial value or y-intercept, is the output value when the input of a linear function is zero i.e, x = 0.

Substitute x =0 in y =24x +44

y= 24(0) + 44

y = 0 + 44

y = 44

Therefore, the initial value for the equation y =24x+44 is 44 photos.

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Can you help me with this it’s so confusing plz help me with both is this

mars1129 [50]

Answer:

First picture: -4,913

Second picture: 20.25

Step-by-step explanation:

-17^5/-17^2 = -17^3

-17 × -17 × -17 = -4913

4.5^5/4.5^3 = 4.5^2

4.5 × 4.5 = 20.25

Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)

The exponents were those tiny numbers you saw.

Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.

When you multiply the same whole number, you can add the exponents.

Hope this helps! Best of luck :)

5 0

3 years ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

$f_z=3(2)^2=12$

so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

$dir=(gradf) \cdot (v')$

now, we can plug values

$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

$dir=(-\frac{150}{\sqrt{29} } - \frac{50}{\sqrt{29} } - \frac{48}{\sqrt{29} })$

$dir=-\frac{248\sqrt{29}}{29}$ .............Answer

7 0

3 years ago

Read 2 more answers

David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther

kipiarov [429]

Length = 11
Width = 9
Area we need = 126
So Area = length * width
126 = 11 * 9
Now.. this is obviously wrong.. they want us to find the correct length..
126 = L * 9
126/9 = L
L = 14
Now since they ask about how much farther you need to extend, take the final and subtract from the original
14 - 11 = 3
Answer is 3.

7 0

3 years ago

What is your estimate for the total amount of time students in your school spent during this past semester studying for final ex

MA_775_DIABLO [31]

Answer:

https://prezi.com/

Step-by-step explanation:

search up the answer plus there is a video too

5 0

3 years ago

Lydia's claims that when she subtracts two negative integers, the result is always positive. Is she correct? Explain.

aleksley [76]

She is correct because a negative subtracted by a negative is positive.

8 0

3 years ago

Read 2 more answers