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2 years ago

P(x)=2x^2+4x+2please say the answer fast I have an activity

Mathematics

1 answer:

LenaWriter [7]2 years ago

5 0

Answer:

(-1,0)

Step-by-step explanation:

To find the x value of the vertex use the equation

-b/(2a)

-4/(2*2)= -1

this means that the x coordinate is -1

Now that we know the x value we need to find the corresponding y value

to do this we just plug in x into the equation

2(-1)²+4(-1)+2

2-4+2=0

put it all together and get (-1,0)

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Read 2 more answers

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

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2 years ago

Select ALL the correct answers.

DaniilM [7]

Be:
Number of hours: n

The cost of renting a bike for the first hour is $7:
n=1→f(n)=f(1)=$7

He is charged $2.50 for every additional hour of renting the bike:
f(n)=f(n-1)+2.50, for n ≥ 2

f(1)=7; f(n)=f(n-1)+2.50, for n ≥ 2 (sixth option)

f(n)=f(1)+2.50(n-1)
f(n)=7+2.50(n-1)
f(n)=7+2.50n-2.50
f(n)=2.50n+4.50 (fifth option)

Answers:
Fifth option: f(n)=2.50n+4.50, and
Sixth option: f(1)=7; f(n)=f(n-1)+2.50, for n ≥ 2

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3 years ago

P(x)=2x^2+4x+2please say the answer fast I have an activity​

P(x)=2x^2+4x+2please say the answer fast I have an activity