There are 3 cans that store 9 tennis balls. write an equation to represent the relationship

Answers

Answer 1
Answer: 3x=9
X=3

This means that eqch can contains 3 balls

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Simplify the rational expression. State any restrictions on the variablen^4-10n^2+24/ n^4-9n^2+18

Answers

Answer:

The simplified form is =((n-2)(n+2))/((n-\sqrt3)(n+\sqrt3))

The variable n can not be equals to \pm\sqrt3 as for these value denominator equals to zero which becomes an indeterminate form.

Step-by-step explanation:

we have to simplify the rational expression and state the restrictions on the variable.

(n^4-10n^2+24)/(n^4-9n^2+18)

We can now see that both the numerator and denominator are quadratic trinomials in n^2.\

We split the middle terms as follows;

(n^4-10n^2+24)/(n^4-9n^2+18)=(n^4-6n^2-4n^2+24)/(n^4-3n^2-6n^2+18)

          =(n^2(n^2-6)-4(n^2-6))/(n^2(n^2-3)-6(n^2-3))

          =((n^2-4)(n^2-6))/((n^2-6)(n^2-3))

          =((n-2)(n+2))/((n-\sqrt3)(n+\sqrt3))

which is the simplified form of given expression.

The variable n can not be equals to\pm\sqrt3 as for these value denominator equals to zero which becomes an indeterminate form.

The answer to the question is n^2-4/n^2-3 n ≠±√6±√3

Please help find the value of sine.

Answers

Ok so all you have to do to find sine is divide the length of one side by another side. So the "Hypotenuse" is the long one, 12, by the "Opposite" is the shortest side, 8. 12 divided by 8 is 1.5 and that as a fraction is 3/2. So your answer is D. 3/2.

There is a turtle race. The race will last 2 minutes. I have to find the distance from the start each turtle will be at the end of the race. Speed (in inches per second) 1/6, 2/3, 3/5,1/4. How do I solve this problem?

Answers

Well, the time is 120 seconds, that is 2 minutes each 60 seconds.
You multiply each speed with 120 and you get the final results.

HELP ITS DUE IN 15 mins!!!!! and i need help:(

Answers

Answer: Fred's Slope

Step-by-step explanation:

Comparing the slope were are looking at the numerator or y of the slope to find which one takes you the highest compared to the others.

Start with Sam who has a slope of 2/11 or rise 2 run 11 which is pretty flat so sam is out

Fred and Anne both have a slope that is a whole number so we're lloking for the bigger number which would be Fred

Anne's slope is 4.75

sams slope is 2/11

and fred’s is 5

Evaluate the function using the values.

Answers

Answer:

Blank 1: 3

Blank 2: 31

Step-by-step explanation:

f(x) = 2x + 7

Plug x as -2

2(-2) + 7

-4 + 7

= 3

Plug x as 12

2(12) + 7

24 + 7

= 31

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 3.03(2.18)^x in thousands of dollars. What was Mary’s initial investment?$3.03
$4.96
$3,030
$4,960

Answers

Initial investment can be calculated by setting the value of x to zero since it is an initial value where time is zero. Using the given model, we calculate as follows:

M(x) = 3.03(2.18)^x
M(0) = 3.03 (2.18)^0
M(0) = 3.03 <---------FIRST OPTION

The standard form of writing exponential function is given as:

y = ab^x. Mary’s initial investment is $3.03

Exponential equations

The standard form of writing exponential function is given as:

y = ab^x

where

a is the base

x is the exponent

Given the Mary’s investment account can be modeled by the function M(x) = 3.03(2.18)^x

Her initial investment is the point where x = 0

Substitute

M(x) = 3.03(2.18)^x

M(0) = 3.03(2.18)^0
M(0) =  3.03

Hence Mary’s initial investment is $3.03

Learn more on exponential function here: brainly.com/question/12940982

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