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inna [77]
3 years ago
8

For the graphed exponential equation, calculate the average rate of change from x = −2 to x = 1.

Mathematics
2 answers:
marishachu [46]3 years ago
8 0
At x = -2, y = -4
At x = 1, y = 3
You have two pairs (1,3)(-2,-4).
You have to figure out the rate of change
(y2-y1)/(x2-x1)
(-4-3)/(-2-1)
Which the answer is b 7/3 hope this helps.
blagie [28]3 years ago
3 0
At x = -2, y = -4
At x = 1, y = 3
This gives you two ordered pairs (1,3) and (-2,-4).
Use the slope formula to find slope(rate of change)
(Y2-y1)/(x2-X1)
(-4-3)/(-2-1)
M = -7/-3 = 7/3
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60 is 15% of what number?
Norma-Jean [14]
Method 1

\begin{array}{ccc}60&-&15\%\\x&-&100\%\end{array}\ \ \ \ |cross\ multiply\\\\15x=60\cdot100\\15x=6000\ \ \ \ \ |divide\ both\ sides\ by\ 15\\\boxed{x=400}

Method 2

\begin{array}{cccc}15\%&-&60&|divide\ both\ sides\ by\ 3\\\\5\%&-&20&|multiply\ both\ sides\ by\ 20\\\\100\%&-&400\end{array}

Method 3

p\%=\dfrac{p}{100}\\\\15\%=\dfrac{15}{100}=0.15\\\\0.15x=60\ \ \ \ |divide\ both\ sides\ by\ 0.15\\x=400
7 0
3 years ago
Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : \sigma= 13

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576  [Using z-table]

Then, the required sample size would be :

n=(\dfrac{(2.576)\cdot (13)}{8})^2

\Rightarrow\ n=(4.186)^2

\Rightarrow\ n=17.522596\approx18 [Round to next integer.]

Hence, the required minimum sample size = 18

4 0
4 years ago
cho went on a bike ride at 3:15 p.m after 45 minutes she comes to a stop. what time does she stop riding at?
rjkz [21]

Answer:

4:00

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the value of X
kap26 [50]

Answer:

x = 27

Step-by-step explanation:

We can say that sum of all interior angles adds up to: 180°, therefore;

(3x - 17) + (2x - 5) + (x + 40) = 180°

=> now add like terms together:

=> 3x + 2x + x = 6x

=> -17 + (-5) + 40 = 18

Therefore;

6x + 18 = 180°

6x = 180 - 18

6x = 162

x = 162/6

<u>x = 27</u>

Hope this helps!

7 0
3 years ago
Simplify the following questions: 2[y-3(y-5)]
ASHA 777 [7]
<span>2<span>(<span>y−<span>3<span>(<span>y−5</span>)</span></span></span>)</span></span><span>=<span><span>(2)</span><span>(<span>y+<span><span>−<span>3y</span></span>+15</span></span>)</span></span></span><span>=<span><span><span>(2)</span><span>(y)</span></span>+<span><span>(2)</span><span>(<span><span>−<span>3y</span></span>+15</span>)</span></span></span></span><span>=<span><span><span>2y</span>−<span>6y</span></span>+30</span></span><span>=<span><span>−<span>4y</span></span>+<span>30</span></span></span>
7 0
3 years ago
Read 2 more answers
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