How can you use ratios and rates to solve problems?

Answers

Answer 1

Answer: Rates and ratios help us find relationships between numbers and proportions.

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Graph of function f of x equals negative x squared plus 8 multiplied by x minus 15Function 2

f(x) = −x2 + 2x − 3

Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)

Numerical Answers Expected!

Answers

$y=- x^(2) +8x-15$
written in vertex form, we have,
$y=-(x-4)^(2) +1$ ,
i.e. vertex = (4, 1) and maximum value at y = 1.

$y=- x^(2) +2x-3$
written in vertex form, we have,
$y=-(x-1)^(2) -2$ ,
i.e. vertex = (1, -2) and maximum value at y = -2.

Therefore, $y=- x^(2) +8x-15$ has the larger maximum.

Final answer:

To determine which function has the larger maximum, we find the vertex of each function's graph and compare the y-values. Function 1 has the larger maximum with a value of 9.25.

Explanation:

In order to determine which function has the larger maximum value, we need to find the vertex of each function's graph. The vertex of a quadratic function in the form f(x) = ax^2 + bx + c can be found using the formula x = -b / (2a). For the first function, f(x) = -x^2 + 8x - 15, a = -1, b = 8, and c = -15. Plugging these values into the formula, we get x = -8 / (2*-1) = 4.5. Substituting this value of x back into the function gives us f(4.5) = -4.5^2 + 8(4.5) - 15 = 9.25.

For the second function, f(x) = -x^2 + 2x - 3, a = -1, b = 2, and c = -3. Using the formula, we find x = -2 / (2*-1) = 1. Substituting this value back into the function gives us f(1) = -1^2 + 2(1) - 3 = -2.

Comparing the maximum values of the two functions, we see that f(x) = -x^2 + 8x - 15 (Function 1) has a larger maximum value of 9.25.

Learn more about Function maximum here:

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Is the relation a function 5,8 5,9 8,9 10,8

Answers

Answer: no

Step-by-step explanation: Because there are two outputs the same and inputs the same

8 players share 7 oranges... What fraction does each player get?

Answers

number being shared / number sharing = 7 oranges/ 8 players = 7/8 of an orange per player

8 players share 7 oranges

1 player gets x oranges

1 player gets 7/8 oranges.

8 x 7/8 = 7 oranges.

So each player gets 7/8 oranges.

HELP!!!!A hockey team scored 45 goals in its first 16 games.

At this rate, how many goals would the team score in an 80 game season?

A.
50

B.
109

C.
141

D.
225

Answers

First, find the unit rate. To do this, divide 45 ÷ 16 = 2.8125
The team scores 2.8125 goals per game (on average)
Now that you have the unit rate, you can find out how much they will score for any amount of games. Just multiply 2.8125 by 80 and you will get:

225 points in 80 games :)

What is 60% of 176 PLEASE HELP

Answers

Answer: 105.6

Step-by-step explanation:

Answer:

105.5

Step-by-step explanation:

Divide 176 by 10: 176 ÷ 10 = 17.6
Multiply 17.6 with 6: 17.6 · 6 = 105.5

Riley and her roommate use the company Webmax for their Internet service. Webmax charges $0.03 per minute, plus a monthly flat fee for a modem. Last month for their total bill, Riley paid $31 and her roommate paid $20. If they used the Internet 1300 minutes, how much must the modem cost per month?

Answers

Answer:

the modem is $8 per month

Step-by-step explanation:

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