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Ronch [10]
3 years ago
12

Write the equation of the parabola in vertex form. Vertex (2,3), point (1,-4)

Mathematics
2 answers:
Naddika [18.5K]3 years ago
5 0

Answer:what grade math is this

Step-by-step explanation:

IgorLugansk [536]3 years ago
5 0

Answer:

f(x) = -7(x - 2)^2 +3

Step-by-step explanation:

Vertex form is f(x) = a(x - h)^2 + k. plugin -4 for f(x). leave the variable a. plugin 1 for x and 2 for h. Lastly, plug in 3 for k. Then slove the expression for a. Once you find a plug it in for the a variable, plug 2 in for the h and plug 3 in for the k.

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The equation to model Exponential Growth is:
abruzzese [7]

Your salary in x years is modeled an the exponential growth

The equation that determines your salary in x years is y = 45000(1.05)^x

<h3>How to model the salary growth?</h3>

The model of the exponential growth is given as:

y = a(1 + r)^x

From the question, we have:

Initial salary, a = 45000

Raise, r = 5%

So, the equation becomes

y = 45000(1 + 5%)^x

Evaluate the sum

y = 45000(1.05)^x

Hence, the equation that determines your salary in x years is y = 45000(1.05)^x

Read more about exponential functions at:

brainly.com/question/11464095

5 0
2 years ago
Adrian is a songwriter who collects royalties on his songs whenever they are played in a commercial or movie. Adrian will earn $
gayaneshka [121]

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

x+y=14\\x=14-y\,\,\,\,...(i)

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

40x+130y=1010\,\,\,...(ii)

Put x=14-y in (ii)

40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5

Put y=5 in x=14-y

x=14-5=9

Therefore, Adrian's songs played on 9 commercials and 5 movies.

7 0
3 years ago
What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below? logarithmic gr
Sloan [31]
F(x+2)-2 is the correct answer. I got it right on my test. Just make sure the point passing through is -1,-2 or you will miss this question. Hope I help you all.
8 0
4 years ago
Read 2 more answers
A number written in the form a + bi is called a _____ number.
Amiraneli [1.4K]

Answer: A. Complex

Step-by-step explanation: hope this helps!

6 0
3 years ago
Jeff bought a 5-gallon bucket of paint. He used 1.25 gallons to paint his bedroom, then he used two-thirds of the remaining pain
Rainbow [258]

Answer:

2.5 gallons

Step-by-step explanation:

5-1.25=3.75

3.75/3=1.25

1.25*2=2.50

4 0
3 years ago
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