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3 years ago

Describe the graph of the function. y = |x + 2|

Mathematics

1 answer:

charle [14.2K]3 years ago

5 0

A chart would include

x, y

-2, 0

-1, 1

0, 2

1, 3

2, 4

The graph would look like this (Image attached)

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Find the average rate of change of the function over the given interval

sattari [20]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\$

$\bf h(t)=cot(t)\implies h(t)=\cfrac{cos(t)}{sin(t)}\quad 
\begin{cases}
t_1=\frac{\pi }{4}\\
t_2=\frac{3\pi }{4}
\end{cases}\implies \cfrac{h\left( \frac{3\pi }{4} \right)-h\left( \frac{\pi }{4} \right)}{\frac{3\pi }{4}-\frac{\pi }{4}}
\\\\\\$

$\bf \cfrac{\frac{cos\left( \frac{3\pi }{4} \right)}{sin\left( \frac{3\pi }{4} \right)}-\frac{cos\left( \frac{\pi }{4} \right)}{sin\left( \frac{\pi }{4} \right)}}{\frac{\pi }{2}}\implies \cfrac{-1-1}{\frac{\pi }{2}}\implies \cfrac{-2}{\frac{\pi }{2}}\implies -\cfrac{4}{\pi }\\\\\\
-------------------------------\\\\$

$\bf h(t)=cot(t)\implies h(t)=\cfrac{cos(t)}{sin(t)}\quad 
\begin{cases}
t_1=\frac{\pi }{3}\\
t_2=\frac{3\pi }{2}
\end{cases}\implies \cfrac{h\left( \frac{3\pi }{2} \right)-h\left( \frac{\pi }{3} \right)}{\frac{3\pi }{2}-\frac{\pi }{3}}
\\\\\\$

$\bf \cfrac{\frac{cos\left( \frac{3\pi }{2} \right)}{sin\left( \frac{3\pi }{2} \right)}-\frac{cos\left( \frac{\pi }{3} \right)}{sin\left( \frac{\pi }{3} \right)}}{\frac{9\pi -2\pi }{6}}\implies \cfrac{\frac{0}{-1}-\frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}}}{\frac{7\pi }{6}}\implies\cfrac{-\frac{1}{\sqrt{3}}}{\frac{7\pi }{6}}\implies -\cfrac{\sqrt{3}}{3}\cdot \cfrac{6}{7\pi }
\\\\\\
-\cfrac{2\sqrt{3}}{7\pi }$

8 0

3 years ago

Determine the sum -46.38 (-24.6)

Zarrin [17]

Well, this equation as a sum would be -46.38 + -24.6
so the answer would be -70.98.

I hope this helps, and have a fantastic day!

8 0

3 years ago

Question<br> Simplify the expression 7(a−3+4b).<br><br> 7(a−3+4b)=

Arte-miy333 [17]

Answer:

7a+28b=21

Step-by-step explanation:

7×a=7a

7×-3= -21

7×+4b=+28b

so....

7a-21+28b=0

7a+28b=21

5 0

3 years ago

Help me with this plzz i really need this

fgiga [73]

Step-by-step explanation:

19. 4n-7+3n-1= 7n - 8 c is the answer

20. the prime factors are 2*3*5*7*11=2310. the answer is c

21. 3x-8x-10=x+2

-5x - 10 = x + 2

-6x - 10 = 2

-6x = 12

x = -2 ( the answer is b)

3 0

4 years ago

Urgent! 30 points and will give 5 star review for correct answers!!

Dmitry [639]

Answer:

1) Write the equation of the parabola that has x-intercepts at the points (6,0) and (-2,0) is flipped vertically and is stretched by a factor of 4

Step-by-step explanation:

6 0

3 years ago