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ASHA 777 [7]
2 years ago
8

You create 15 centerpieces for a party in 5 hours.

Mathematics
1 answer:
barxatty [35]2 years ago
7 0
A) 3 centerpieces per hour because 15/5 = 3
b) 14 hours, because 3 goes into 42 14 times exactly.
Hope this helps!
You might be interested in
What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
3 years ago
What is the annual share of the profit awarded to the owner of a share of stock called?
madam [21]
I think its common stock
5 0
2 years ago
PLEASE HELP URGENTLY!!!!¡!!!!!!¡
DaniilM [7]
<h3>There are 3 answers: Choice A, Choice D, Choice F</h3>

Explanation:

2 & 1/2 = 2.5

10 + (-2.5) can be represented by starting with 10 and then dropping by 2.5, which is what choice A is saying

or we can start with -2.5 and add on 10. This works because we can add numbers in any order, example: 2+3 = 3+2 = 5. So starting with -2.5 and adding on 10 is represented by choice D's and choice F's examples

4 0
3 years ago
G=7/5(p-45)<br> The solution is p=__g+___<br> Simplify your answers. Type an integer or fraction.
amm1812

So firstly, multiply both sides by 5/7 (reciprocal of 7/5): \frac{5}{7}g=p-45

Next, add both sides by 45 and your answer will be: \frac{5}{7}g+45=p

7 0
3 years ago
Read 2 more answers
Given f(x)=9-2x, find f(10).<br><br> A.-11<br> B.11<br> C.29<br> D.-29
zaharov [31]

The given function is a linear function that decreases as the value of the

input <em>x</em> increases.

  • The value of f(10), given f(x) = 9 - 2·x is option <u>A. -11</u>

Reasons:

The given function is f(x) = 9 - 2·x

The output of the function is the value of f(x) for a given input <em>x</em> of the function.

The input value, <em>x</em> is substituted into the function to obtain the output value, f(x).

Given that the input, x = 10

We have;

f(10) = 9 - 2×10 = -11

Therefore, the correct option for f(10) is <u>A. -11</u>

Learn more about functions here:

brainly.com/question/10781304

7 0
2 years ago
Read 2 more answers
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