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Temka [501]
3 years ago
10

Use the given domain to find the range of function: f(x)=−2x²+7, D={2, −3, 0}

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

R={-1, -11, 7}

Step-by-step explanation:

-2(2)^2+7=

-2(4)+7=

-8+7=

-1

-2(-3)^2+7=

-2(9)+7=

-18+7=

-11

-2(0)^2+7=  

-2(0)+7=

0+7=

7

You might be interested in
Topic: Recognizing Linear and Exponential and Quadratic Functions.
BigorU [14]

Answer:

  Recursive: f(1) = 1; f(n) = f(n-1)/3

  Equation: f(x) = 5/3·(1/3)^(x-1)

Step-by-step explanation:

You know this is an exponential function because sequential lines in the table have a common ratio of f(x) values:

  f(2)/f(1) = (5/9)/(5/3) = 3/9 = 1/3

  f(3)/f(2) = (5/27)/(5/9) = 9/27 = 1/3

and it continues like that.

Besides telling you the function is exponential, it also tells you that each term is 1/3 of the previous term.

<h3>Recursive formula</h3>

The value of f(1) is read from the table. For x = 1, that value is ...

  f(1) = 5/3

As we noticed above, each term is 1/3 the previous term, so the recursive relation is ...

  f(n) = (1/3)·f(n-1)

<h3>Equation</h3>

The general form of the equation for a geometric (exponential) relation is ...

  f(x) = f(1)·r^(x-1) . . . . . . where f(1) is the first term, and r is the common ratio

For this function, we have f(1) = 5/3 and r = 1/3, so the equation is ...

  f(x) = 5/3·(1/3)^(x-1)

__

<em>Additional comment</em>

When given values of x that count from 1, we often express the equation in terms of (x-1). That equation can be simplified so the exponent is x.

  f(x) = 5·(1/3)^x

5 0
1 year ago
Please help!!<br> I’m so confused <br> And please don’t use the link joke
bagirrra123 [75]

Answer:

15u + 141 = 420

Step-by-step explanation:

So basically we are modelling how much the coach is spending. Each player is given a uniform and a basketball

We can use 'u' as the cost of a single uniform

We can use 'b' as the cost of a single basketball

Since there is 15 players we must give a ball and uniform to each so

15u + 15b = 420

The problem gives us the cost of each basketball: 9.40

so now 15u + 15(9.4) = 420

15u + 141 = 420

8 0
2 years ago
A(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x-x-10 What is a+b?
igor_vitrenko [27]

a(x+1)(x-1)+b(x-2)(x+1)+(x+1)^2=9x^2-x-10

(x+1)(a(x-1)+b(x-2)+(x+1))=(x+1)(9x-10)

a(x-1)+b(x-2)+x+1=9x-10

Now this equation is much simpler!

(a+b)x-a-2b+x+1=9x-10

(a+b)x-a-2b=8x-11

(a+b-8)x-a-2b-11=0

a+b-8=(a+2b-11)/x

I can't solve it 3 variables and 1 equations means infinite answers so yea.

4 0
3 years ago
Keith has $500 in his savings account at the beginning of the summer. He
bixtya [17]

Answer:

12

weeks

Explanation:

If Keith starts with

$

500

and wants to end with (at least)

$

200

he can withdraw up to

$

500

−

$

200

=

$

300

If he withdraws

$

25

week

the

$

300

will last

XXX

$

300

$

25

week

=

12

weeks

Step-by-step explanation:

I apologize if this isn't correct, I tried

7 0
3 years ago
Read 2 more answers
Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (
Igoryamba
Point a is at (0,-4) and point b is at (-8,-7) :)
4 0
2 years ago
Read 2 more answers
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