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3 years ago

What is the sum of all integers between 123 and 2021 which end in 7? Please walk me through it w/ work.

Mathematics

1 answer:

Savatey [412]3 years ago

6 0

Answer:

it will be 35720 . I hope my answer is correct

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Write a formula for the function g(x) obtained when the graph of f(x)= square root x is shifted up 1 unit and to the left 9 unit

ch4aika [34]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\[-0.35em]
~\dotfill\\\\
\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind, let's take a peek.

$\bf f(x)=\sqrt{x}~\hspace{7em}\stackrel{\textit{up by 1}}{D=1}\qquad \stackrel{\textit{left by 9}}{C=9}
\\\\[-0.35em]
~\dotfill\\\\
g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{0}}+\stackrel{D}{0}\implies \stackrel{\textit{shifted}}{g(x)=\stackrel{A}{1}\sqrt{\stackrel{B}{1}x+\stackrel{C}{9}}+\stackrel{D}{1}}\implies \blacktriangleright g(x)=\sqrt{x+9}+1 \blacktriangleleft$

4 0

3 years ago

Sarah can make 3/5 of a necklace in 15 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace, can sarah

galina1969 [7]

Answer:

She can make 2 2/5 necklace in one hour

Step-by-step explanation:

60/15=4 so she makes 3/5*4=12/5=2 2/5

8 0

2 years ago

375 is 112% of what number?

Lera25 [3.4K]

Answer:

420

Step-by-step explanation:

maybe I don't know sorry

5 0

2 years ago

Read 2 more answers

If the perimeter of the regular decagon shown above is 136 1/4 inches, what is the length of each side?

victus00 [196]

<h3>Answer: Choice A. 13 & 5/8 inches</h3>

Ideally you should always post the diagram to help us see the entire problem; however, the diagram is not needed in this case because we are told the figure is regular decagon. So there are 10 sides and each side is the same length. If each side is x inches long, then the perimeter is 10x inches.

10x = 136 & 1/4

10x = 136 + 1/4

10x = 136 + 0.25

10x = 136.25

x = 136.25/10

x = 13.625

x = 13 + 0.625

x = 13 + 625/1000

x = 13 + 5/8

x = 13 & 5/8

7 0

3 years ago

Mr. Clark wants to pay for his order with a $20 bill, but Jeremy does not have change. Jeremy tells Mr. Clark he will give him t

Dennis_Churaev [7]

Answer:

$20 + $-11.25 = $8.75

Step-by-step explanation:

8 0

3 years ago