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3 years ago

Explain your thinking process to find the sum of all integers between 12 and 40

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

You can treat it as an arithmetic sequence, so multiply the average integer value by the number of integers:
(40+12)/2 × (40 -12 +1) = 26×29 = 754

You can subtract the sum of integers 1–11 (66) from the sum of integers 1–40 (820) to get the sum of integers from 12–40: 820 - 66 = 754.

You can let a graphing calculator do it. (See attached.) This method takes perhaps the least amount of thought. It, too, gets a sum of 754.

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Olve. Do your work on a separate she

Mazyrski [523]

Answer:

Step-by-step explanation:

2 coins are 0.25 = 50 cents. That leaves 92-50 = 42 cents and 5 coins to go.

The only way to get 2 cents is to have 2 pennies. That leaves 40 cents and 3 coins to go.

The only way to get 40 cents with 3 coins is 1 quarter, 1 dime, and 1 nickel.

So you have 3 quarters = 75 cents.

2 pennies = 2 cents.

1 dime = 10 cents.

1 nickel = 5 cents.

92 cents total and 7 coins.The only way to get 40 cents

5 0

4 years ago

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Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?

Feliz [49]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see

$\bf h(x)=-x+5\implies h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\stackrel{D}{+5}$

a shift down by 3 units, means a vertical shift downwards, so D needs to drop by 3 units.

$\bf h(x)=\stackrel{A}{-1}(\stackrel{B}{1}x\stackrel{C}{+0})\boxed{\stackrel{D}{+5-3}}\implies h(x)=-1(1x+0)+2
\\\\\\
h(x)=-x+2$

4 0

3 years ago

PLEASE HELP!!! Will mark brainliest

Volgvan

Im leaning towards letter (B.)

If not, tell me please :)

7 0

3 years ago

Read 2 more answers

consider the following matrix. I need to know if the system has zero or infinite solutions or just one solution and if the matri

olga nikolaevna [1]

Answer:

I think it would be no solution

Step-by-step explanation:

since there is the same slope, the line would never cross. Also the determinate is 0 or 1/0, so there would be no solution

3 0

2 years ago

Candy works on the 30th floor of an office building. She took the elevator to the cafeteria on the 7th floor. How many floors di

marishachu [46]

Answer:

23 floors

Step-by-step explanation:

Subtract 7 from 30:

30 - 7

= 23

So, she traveled 23 floors.

8 0

3 years ago