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drek231 [11]
3 years ago
14

gina is training for a marathon she ran 4.6 miles on Friday and 6.7 miles on Saturday on Sunday she ran 13 miles how much furthe

r did she run on Sunday then she did on Friday and Saturday combined
Mathematics
1 answer:
evablogger [386]3 years ago
5 0
4.6 + 6.7 is 11.3 and 13 - 11.3 is 1.7
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What is the formula for average rate of change​
emmasim [6.3K]

Answer:

(y2-y1)/(x2-x1)

Step-by-step explanation:

Average rate of change is just using the slope formula: (y2-y1)/(x2-x1)

3 0
3 years ago
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What are the amplitude, period, phase shift, and midline of f(x) = 2 sin(x + π) − 4?
MrRissso [65]

\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)=Asin(Bx+C)+D \\\\ f(x)=Acos(Bx+C)+D\\\\ f(x)=Atan(Bx+C)+D \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \bullet \textit{ stretches or shrinks}\\ ~~~~~~\textit{horizontally by amplitude } 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}\\ ~~~~~~\textit{reflection over the y-axis}


\bf \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{function period or frequency}\\ ~~~~~~\frac{2\pi }{B}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ ~~~~~~\frac{\pi }{B}\ for\ tan(\theta),\ cot(\theta)


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


\bf f(x)=2sin(x+\pi )-4\implies f(x)=\stackrel{A}{2}sin(\stackrel{B}{1}x\stackrel{C}{+\pi })\stackrel{D}{-4} \\\\[-0.35em] ~\dotfill\\\\ \textit{Amplitude}\implies 2 \\\\\\ \stackrel{phase}{\textit{Horizontal Shift}}\implies \cfrac{C}{B}\implies \cfrac{+\pi }{1}\implies +\pi \impliedby \pi \textit{ units to the left} \\\\\\ \textit{Period}\implies \cfrac{2\pi }{B}\implies \cfrac{2\pi }{1}\implies 2\pi \\\\\\ \textit{Vertical Shift}\implies D\implies -4\impliedby \textit{4 units downwards}


now, the midline for the parent function of sin(x) is simply the x-axis, namely y = 0.

this shifted/transformed version of it, has a vertical shift of 4 units down, so the midline moved from y = 0, to y = -4.

6 0
3 years ago
Which line best represents the line of best fit for this scatter plot?
fgiga [73]

Answer:

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Step-by-step explanation:

we know that

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3 years ago
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Lubov Fominskaja [6]

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Step-by-step explanation:

4 0
3 years ago
How would I solve this equation?
sergiy2304 [10]

Let's solve your equation step-by-step.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span>
Step 1: Simplify both sides of the equation.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span><span>
Simplify: (Show steps)</span><span><span><span>
2x</span>+<span>2/3</span></span>=5</span>
Step 2: Subtract 2/3 from both sides.<span><span><span><span>
2x</span>+<span>2/3</span></span>−<span>2/3</span></span>=<span>5−<span>2/3</span></span></span><span><span>
2x</span>=<span>13/3</span></span>
Step 3: Divide both sides by 2.<span><span><span>
2x/</span>2</span>=<span><span>13/3/</span>2</span></span><span>
x=<span>13/6</span></span>
Answer:<span>
x=<span>13/<span>6</span></span></span>
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