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gulaghasi [49]
3 years ago
11

A coffee shop offers 14 different types of flavor shots. If customer can choose any number of flavor shots to have in their coff

ee, how many flavor shot combinations are possible

Mathematics
1 answer:
koban [17]3 years ago
8 0

Answer:

Dear ortizcisco

Answer to your query is provided below

There is 1 combination flavour shot possible for a customer.

Step-by-step explanation:

Explanation is provided below in the image attached

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2.<br>√3x + 7 + √x + 1 =2​
taurus [48]

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0
3 years ago
1. Investigate if there is an association between survival past 500 days and treatment group.(a) Create a variable that indicate
vekshin1

Answer:

There is association between survival and treatment H1: there is no association between survival and treatment.

Step-by-step explanation:

3 0
3 years ago
Hillary is choosing a notebook. She can have a three-ring or two-ring binder in red, blue, green, or striped, with or without in
Tcecarenko [31]

Answer:

Step-by-step explanation:

6 0
2 years ago
What is 4 multiplied by 4/6
yawa3891 [41]
Okay,

1. Multiply 4 x 4.

2. Then Since 4 x 4 is 16 it would be 16 over 6 ( \frac{16}{6} )

3. Then Simplify, 6 can go into 16 twice, being 12.

4. There is 4 left over, so put 4 over 6 ( \frac{4}{6} )

5. Finally, simplify again, 4 can be divided by 2, so can 6, make it 2 over 3 ( \frac{2}{3} )

Answer: 12 and 2 over 3 (12  \frac{2}{3} )

**Hope I Helped!**



5 0
3 years ago
Read 2 more answers
Which of the following coordinates exists on the line y = 3x + 1?
Natalija [7]

We are given

equation of line as

y=3x+1

we will check each options

option-A:

we can plug (3,1)

x=3 and y=1

1=3*3+1

1=10

we can see that

they are not equal

so, this is FALSE

option-B:

we can plug (-1,-2)

x=-1 and y=-2

-2=3*-1+1

-2=-2

we can see that

they are equal

so, this is TRUE

option-C:

we can plug (-3,4)

x=-3 and y=4

4=3*-3+1

4=-8

we can see that

they are not equal

so, this is FALSE

option-D:

we can plug (2,6)

x=2 and y=6

6=3*2+1

6=7

we can see that

they are not equal

so, this is FALSE


6 0
3 years ago
Read 2 more answers
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