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3 years ago

After substituting, what is the first step when evaluating 4y+9/7 when y=8

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

multiply 4 and 8 to get 32

Step-by-step explanation:

After substituting, the expression is ...

4·8 +9/7

The order of operations tells you to do multiplication and division before addition and subtraction. You do them left-to-right. The multiplication on the left is 4·8, so you do that first. The result is ...

32 + 9/7

Now, you can do the division:

32 + (1 2/7)

And, finally, the addition:

33 2/7

___

Or, you could skip the division and go straight to adding a whole number and a fraction:

(32·7 +9)/7 = (224+9)/7 = 233/7

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we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun

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3 years ago

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Answer:

Step-by-step explanation:

50 is at rank 8.5, but since its a 53% chance. it would be below the .5 area and round to 8

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3 years ago

Given the tables for f & g below, find the following: x f ( x ) g ( x ) 0 9 7 1 4 8 2 3 6 3 5 1 4 7 5 5 1 2 6 6 0 7 0 4 8 2

d1i1m1o1n [39]

$\\(i)\\
\text{We know that the average rate of change of a function f(x) on inerval [a,b] is}\\
\\
f_{avg}=\frac{f(b)-f(a)}{b-a}\\
\\
\text{so using this the average rate of chang of g for x on interval }[3,7] \text{ is}\\
\\
g_{avg}=\frac{g(7)-g(3)}{7-3}\\
\\
=\frac{4-1}{4}\\
\\
=\frac{3}{4}\\
\\
\text{so average rate of change of g on interval [3,7] is }\frac{3}{4}$

$\\(ii)\\ \text{Average rate of chang of f for x on interval }[3,7] \text{ is}\\
\\
f_{avg}=\frac{f(7)-f(3)}{7-3}\\
\\
=\frac{0-5}{4}\\
\\
=\frac{-5}{4}\\
\\
\text{so average rate of change of g on interval [3,7] is }\frac{-5}{4}$

$\\(iii)\\
\text{Since g(4)=5, so we have}\\
\\
f(g(4))=f(5)\\
\\
\text{since the value of f is 1 at x=5. so }\\
\\
f(g(4))=f(5)=1\\
\\
\text{hence we have, }f(g(4))=$ 1

$\\(iv)\\
\text{Since f(3)=5, so we have}\\
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g(f(3))=g(5)\\
\\
\text{since the value of g is 2 at x=5. so }\\
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g(f(3))=g(5)=2\\
\\
\text{hence we have, }g(f(3))=$ 2

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