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nata0808 [166]
3 years ago
6

What is the equation of the graph below?​

Mathematics
2 answers:
Sonja [21]3 years ago
4 0

The equation of the graph is y= -(x+3)^2 +1

Choice A is the correct answer

jek_recluse [69]3 years ago
3 0
<h2>Answer:</h2>

The equation of the given graph is:

            y=-(x-3)^2+1

<h2>Step-by-step explanation:</h2>

We know that the general equation of a downward parabola with vertex at (h,k) is given by the formula:

      y=a(x-h)^2+k

where a<0

Here in each of the options we have a= 1 or -1

but as a has to be less than 1 this means that a= -1

Also, we have: (h,k)= (3,1)

i.e. h=3 and k=1

Hence, putting the values of h,k and a in the general equation we get:

      Hence, the equation of parabola is:

       y=-(x-3)^2+1

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DETAILS
Nina [5.8K]

The perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]

The perimeter of the rectangle P = 2(h + w)

Since the diagonal is D = 18 feet, using Pythagoras' theorem, we have that

D² = h² + w²

So, making h subject of the formula, we have

h = √(D² - w²)

h = √(18² - w²)

h = √(324 - w²)

Since the perimeter of the rectangle P = 2(h + w), substituting the value of h into P, we have

P = 2(h + w)

P = 2[√(324 - w²) + w]

P(w) = 2[√(324 - w²) + w]

So, the perimeter of the rectangle as a function of w only is P(w) = 2[√(324 - w²) + w]

The angle θ as a function of w only is θ(w) = sin⁻¹[w/18]

Using trigonometric functions, sinθ = w/D

since D = 18, substituting the value of D into the equation, we have

sinθ = w/18

Taking inverse tan of both sides, we have

θ = sin⁻¹[w/18]

θ(w) = sin⁻¹[w/18]

So, the angle θ as a function of w only is θ(w) = sin⁻¹[w/18]

Learn more about perimeter of a rectangle here:

brainly.com/question/7538991

4 0
3 years ago
a television and dvd player cost a total of $1056. the cost of the television is three times the cost of the dvd player. find th
Makovka662 [10]

The cost of TV is $ 792 and cost of DVD player is $ 264

<u>Solution:</u>

Given, total cost of television and dvd player = 1056

The cost of the television is three times the cost of the dvd player.  

Now, let the cost of DVD player be "n", then the cost TV will be (1056 – n)

And, we know that, cost of TV is 3 times Cost of DVD

\text { cost of Television } =3 \times \text { cost of DVD }

\begin{array}{l}{1056-n=3 \times n} \\\\ {1056=3 n+n} \\\\ {4 n=1056} \\\\ {n=264}\end{array}

So, the cost of DVD player is $264, the cost of TV will be (1056 - 264) = $792

5 0
3 years ago
How many terms does the polynomial x^2 y^2 have
valina [46]
2 terms! hope this helps :)
3 0
3 years ago
Suppose one hundred eleven people who shopped in a special t-shirt store were asked the number of t-shirts they own costing more
salantis [7]

Answer:

Option C 41%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The number of people who own at most three t-shirts costing more than $19 each is equal to the number of people who own one t-shirt costing more than $19 each, plus the number of people who own two t-shirt costing more than $19 each, plus the number of people who own three t-shirt costing more than $19 each

Observing the graph

The number of people who own one t-shirt costing more than $19 each is 5

The number of people who own two t-shirt costing more than $19 each is 17

The number of people who own tree t-shirt costing more than $19 each is 23

The number of people who own at most three t-shirts costing more than $19 each is

(5+17+23)=45\ people

To find out the percentage divided the number of people who own at most three t-shirts costing more than $19 by one hundred eleven people (total people that shopped in a store) and then multiply by 100

(45/111)100= 40.54\%

Round to the nearest whole number

40.54\%=41\%

3 0
3 years ago
Write a conditional statement that correctly describes each venn diagram in the space provided?
MakcuM [25]
Remember that a conditional statement (p→q) is an if-then in which the first part, p, is the hypothesis and the second part, q, is the conclusion. 

1. Here the set m<span>∠A=40° is a subset of the set Acute Angles, so </span>m∠A=40° is the hypothesis and Acute Angles is the conclusion. 
In other words:
m∠A=40°→∠A is an Acute Angle 
if m∠A=40°, then ∠A is an Acute Angle

We can conclude that the conditional statement that describes the Venn diagram is: if m∠A=40°, then ∠A is an Acute Angle

2. Just like before, the set 2x=4 is a subset of the set x=2; therefore, 2x=4 is the hypothesis and x=2 is the conclusion.
In other words:
2x=4→x=2
if 2x=4, then x=2

We can conclude that the conditional statement that describes the Venn diagram is: if 2x=4, then x=2
7 0
3 years ago
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