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frosja888 [35]
3 years ago
8

Write an equation of the graph: y = |x| translated two units downward

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0
Y = |x| - 2. Nothing too complicated for this transformation
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The number of board feet in a 16 foot long tree is approximated by the model F(d) = 0.77d^2 -- 1.32d -- 9.31 where F is the numb
Lubov Fominskaja [6]

we are given

F(d)=0.77d^2-1.32d-9.31

where

F is the number of board feet

d is the diameter (in inches) of the log

Since, we have to minimize F

so, firstly we will find it's derivative

F'(d)=0.77\times 2d-1.32\times 1-0

F'(d)=1.54d-1.32

now, we can set it to 0

and then we can solve for d

F'(d)=1.54d-1.32=0

1.54d-1.32=0

so, we get diameter as

d=\frac{6}{7}inch..............Answer

6 0
3 years ago
The cardboard box below is used by a company to package new laptops of the company plans to increase the length of the Box by 2i
harina [27]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
If the relationship is a proportional relationship weite an equation that where x represents the number of adults and y represen
Anestetic [448]

Answer:

y = kx

Step-by-step explanation:

In proportional relationships, the value of one variable increases as the other increases or decreases as the other decreases. It is denoted mathematically as  y ∝ x where x and y are the variables. It follows that

y = kx where k is the proportionality constant.

So in the relationship where x represents the number of adults, and y represents the number of students,

y ∝ x and y = kx

y = kx is the required equation

5 0
3 years ago
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
3 years ago
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