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kipiarov [429]
2 years ago
9

Evaluate each of the expressions in the list for y = 5. Drag and drop the correct number into each box to

Mathematics
1 answer:
malfutka [58]2 years ago
4 0

Answer:

Step-by-step explanation:

To get the value of the expressions in list A and list B we will substitute y = 5 in each expression.                      

            List A                                        List B

1). 6 + 6y = 6 + 6(5) = 36              6y - 6 = 6(5) - 6 = 24

2). 6(y - 1) = 6(5 - 1) = 24               6(y + 1) = 6(5 + 1) = 36

3). 6y + 1 = 6(5) + 1 = 31                 1 + 6y = 1 + 6(5) = 31

Therefore, (6 + 6y) is equivalent to 6(y + 1)

6(y - 1) is equivalent to (6y - 6)

(6y + 1) is equivalent to (1 + 6y)

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The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
Niko uses 12 marshmallows and 8 graham crackers to make 4 s'mores.
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Answer:

6 crackers, 9 marshmallows

Step-by-step explanation:

You have to divide to find how many graham crackers and marshmallows are needed to make 1 s'more:

8 / 4 = 2, so 2 crackers per s'more. Then,

12 / 4 = 3, so 3 marshmallows per s'more. Now that we know this, all we have to do is multiply each number by 3 to make 3 s'mores.

2 * 3 = 6, so 6 crackers, and

3 * 3 = 9, so 9 marshmallows.

:)

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Answer:

1) 2x=4x-8

2) 4(x+2)=20

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X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20-------------------------------      Factors of Q (leading Coefficient) = 1
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Of the choices given only the number 1 is a possible root.

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