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Olin [163]
3 years ago
13

PLs help asap :( i have no idea how to do sigma notation

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

The correct answer is C

Sigma Notation is when we take all of the whole numbers between the starting point (which can be found as the number under the sigma sign) and the end number (which can be found above the sigma sign). Therefore, we will add together all of the values of 3k + 2 for when k is equal to all of the numbers between 2 and 7. So, let's evaluate each one first.

When k = 2

3(2) + 2 = 8

When k = 3

3(3) + 2 = 11

When k = 4

3(4) + 2 = 14

When k = 5

3(5) + 2 = 17

When k = 6

3(6) + 2 = 20

When k = 7

3(7) + 2 = 23

So we know we have the following.

8 + 11 + 14 + 17 + 20 + 23

Now for the number after the comma, we are just looking for the answer of them all added together. So the final answer should be

8 + 11 + 14 + 17 + 20 + 23, 93


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Not sure what it is wanting
Gnesinka [82]

Answer:

8 baseballs : 4 gloves

4 baseballs : 2 gloves

16 baseballs : 8 gloves

2 baseballs : 1 glove

10 baseballs : 5 gloves

Step-by-step explanation:

I think It's just asking to put some ratios that go with the one given.

3 0
3 years ago
F(x) = x^2+1 and g(x) = x-4 <br> (f/g)(5)=
Nezavi [6.7K]

The value of the composite function is (f/g)(5)= 26

<h3>How to evaluate the composite function?</h3>

The functions are given as:

f(x) = x^2+1 and g(x) = x-4

To calculate the composite function, we use the following formula

(f/g)(x)= f(x)/g(x)

So, we have:

(f/g)(5)= f(5)/g(5)

Calculate f(5) and g(5)

f(5) = 5^2+1 and g(5) = 5-4

This gives

f(5) = 26 and g(5) = 1

Substitute f(5) = 26 and g(5) = 1 in (f/g)(5)= f(5)/g(5)

(f/g)(5)= 26/1

Evaluate

(f/g)(5)= 26

Hence, the value of the composite function is (f/g)(5)= 26

Read more about composite function at

brainly.com/question/10687170

#SPJ1

7 0
2 years ago
The solution of 3x+5=x+9 is ____​
vampirchik [111]

Answer:

x=2

Step-by-step explanation:

move x to the 3x side and move 5 to 9 side.

you get 2x=4

then you divide 2 from both sides and get 2

4 0
2 years ago
Read 2 more answers
I need help can someone help you can get 10 points
Nuetrik [128]

Answer:

Im not sure if i can give you the entire answers, but its quite simple. A straight line=180 degrees, so subtract 112 by 180 and you get lines 1 and 3. Line 2 is just 112 because its just "flipped", so its the same number.

Step-by-step explanation:

3 0
3 years ago
Find the values of m and b that make the following function differentiable. the piecewise function f of x equals x cubed when x
aalyn [17]

f(x)=\begin{cases}x^3&\text{for }x\le1\\mx+b&\text{for }x>1\end{cases}

f must be continuous in order to be differentiable, so we need to have

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1^+}f(x)=f(1)

By its definition, f(1)=1^3=1, and

\displaystyle\lim_{x\to1^-}f(x)=\lim_{x\to1}x^3=1

\displaystyle\lim_{x\to1^+}f(x)=\lim_{x\to1}(mx+b)=m+b

so that \boxed{m+b=1}.

We want the derivative to exist at x=1, which requires that we pick an appropriate value for f'(1) so that f'(x) is also continuous. At the moment, we know

f'(x)=\begin{cases}3x^2&\text{for }x1\end{cases}{/tex]so we need to pick [tex]f'(1) such that

\displaystyle\lim_{x\to1^-}f'(x)=\lim_{x\to1^+}f'(x)

We have

\displaystyle\lim_{x\to1^-}f'(x)=\lim_{x\to1}3x^2=3

\displaystyle\lim_{x\to1^+}f'(x)=\lim_{x\to1}m=m

so that \boxed{m=3} (which means we need to pick f'(1)=3) and so m+b=1\implies\boxed{b=-2}

5 0
3 years ago
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