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Finger [1]
3 years ago
12

What is the vertex of function f(x)=(x-3)(x+5)?

Mathematics
1 answer:
butalik [34]3 years ago
6 0

Answer:

( − 1 , − 16 )

Step-by-step explanation:

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The table shows a proportional relationship between x and y what is the unit rate of y per x ( 3 , 5 , 6 , 8 ) (12 , 20 , 24 , 3
nirvana33 [79]

Answer:

The unit rate of y per x is 4

Step-by-step explanation:

In this question, we are asked to give the unit rate of y per x.

To do this, we will critically look to establish the relationship between both set of values.

Looking at the values critically, we can see that the values in the first brackets, when multiplied by 4 will give the values in the second bracket. Hence we can say that the values in the second bracket are multiples of the first by 4.

Now the unit rate of y per x will be y/x = 4

7 0
3 years ago
Read 2 more answers
Create a data set that has five values. The mean of the data set should be 34.
ikadub [295]
So if it Has a mean of 34 then whot is 34 divided by 5 and then the ansere for that is the first number of the data set, and then do 34 divided by 4 and then the ansere for that is the second number of the data set, and then do 34 divided by 3, 34 divided by 2 then 34 divided bye 6. Hop this helps.

4 0
3 years ago
Read 2 more answers
A princess hat for a costume is shaped like a cone. The base of the cone is 12 in across and the height is 8
LenaWriter [7]

Answer:

Part a) The drawn in the attached figure

Part b)The slant height of the outside edge is x=10\ in

Step-by-step explanation:

Part a) The drawn in the attached figure

Part b) What is the slant height of the outside edge?

we have that

The diameter of the base of the cone is 12 in

so

r=12/2=6\ in ----> the radius is half the diameter

h=8\ in

Applying the Pythagoras Theorem find the slant height x

x^{2}=r^{2}+h^{2}

substitute the values

x^{2}=6^{2}+8^{2}

x^{2}=100

x=10\ in

8 0
4 years ago
The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p3 and that its dem
myrzilka [38]

We are given the functions:

<span>S (p) = 40 + 0.008 p^3                                     ---> 1</span>

<span>D (p) = 200 – 0.16 p^2                                     ---> 2</span>

 

T o find for the price in which the price of supply equals demand, all we have to do is to equate the two equations, equation 1 and 2, and calculate for the value of p, therefore:

S (p) = D (p)

40 + 0.008 p^3 = 200 – 0.16 p^2

0.008 p^3 + 0.16 p^2 = 160

p^3 + 20 p^2 = 20,000

p^3 + 20 p^2 – 20,000 = 0

Calculating for the roots using the calculator gives us:

p = 21.86, -20.93±21.84i

 

Since price cannot be imaginary therefore:

p = 21.86

3 0
4 years ago
You are designing a container in the shape of a cylinder. The radius is 6 inches. You want the container to hold at least 324π c
natta225 [31]

By definition, the volume of a cylinder is given by:

V =\pi r^2h

Where,

r: cylinder radius

h: cylinder height

From here, we clear the height.

We have then:

h = \frac{V}{\pi r^2 }

Then, replacing values we have:

h = \frac{324\pi }{\pi 6^2 }

h = 9 inches

Answer:

The least possible height of the container is 9 inches.

4 0
3 years ago
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