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Vanyuwa [196]
3 years ago
7

The average rate of change from x = -2 to x = 6 for the function shown in the graph is______?

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer: -1/2

Step-by-step explanation:

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(-2,0) and (3,4)<br><br> slope=1/3 and (2,4)<br><br> SOLVE EQUATIONS FOR THEM PLEASE
andrew11 [14]

Answer:  a)\quad y=\dfrac{4}{5}x+\dfrac{8}{5}               b)\quad y=\dfrac{1}{3}x+\dfrac{10}{3}                

<u>Step-by-step explanation:</u>

Use the Slope formula:      m=\dfrac{y_2-y_1}{x_2-x_1}

and the Point-Slope formula:   y - y₁ = m(x - x₁)

a) (-2, 0) and (3, 4)

 m=\dfrac{0-4}{-2-3}\quad =\dfrac{-4}{-5}\quad =\dfrac{4}{5}

Let (x₁, y₁) = (-2, 0)      

y - y₁ = m(x - x₁)

y-0=\dfrac{4}{5}\bigg(x-(-2)\bigg)\\\\\\y\quad =\dfrac{4}{5}\bigg(x+2\bigg)\\\\\\\large\boxed{y\quad =\dfrac{4}{5}x+\dfrac{8}{5}}

b) m = 1/3     (x₁, y₁) = (2, 4)    

y - y₁ = m(x - x₁)

y-4=\dfrac{1}{3}\bigg(x-2\bigg)\\\\\\y-4 =\dfrac{1}{3}x-\dfrac{2}{3}\\\\\\y\quad \ =\dfrac{1}{3}x-\dfrac{2}{3}+\dfrac{12}{3}\\\\\\\large\boxed{y\quad =\dfrac{1}{3}x+\dfrac{10}{3}}

7 0
4 years ago
FUNNY ONE ANSWER ! !!!!!!!!!
lakkis [162]

Answer: trapezoid

Step-by-step explanation: A <u>trapezoid</u> is a quadrilateral

with exactly one pair of parallel sides.

Also, quadrilaterals are two-dimensional shapes.

So it's impossible that's its 3-d.

7 0
3 years ago
Read 2 more answers
A national dental association conducted a survey to find the average (mean) amount of time dentists spend on dental fillings per
eduard

Answer:

The probability of finding a sample mean less than 18 hours is 0.0082

Step-by-step explanation:

To find the probability of finding a sample mean less than 18 hours, we need to calculate the z-score of this sample mean 18. And the probability of finding a sample mean less than 18 hours is P(z<z(18)).

Z-score can be calculated as follows:

z(18)=\frac{X-M}{\frac{s}{\sqrt{N} } } where

  • X is the sample mean (18 hours)
  • M is the average hours dentists spend per week on fillings (20 hours)
  • s is the standard deviation (10 hours)
  • N is the sample size (144)

Putting the numbers, we get:

z(18)=\frac{18-20}{\frac{10}{\sqrt{144} } }=-2.4

Using z- table we can find that P(z<z(18)) = 0.0082

4 0
3 years ago
How much of the 8% solution should we use to make 100g of a 3% solution?
kipiarov [429]

Answer:

37.5 g

Step-by-step explanation:

The final solution will contain 3% × 100 g = 3 g of solute. This amount of solute will be found in w grams of 8% solution, where ...

... 3 = 0.08 × w

... 3/0.08 = w = 37.5 . . . . . grams of 8% solution

3 0
3 years ago
The dot plot shows the numbers of pets that students in a class own
Kisachek [45]

Answer:

5 dots above zero

Step-by-step explanation:

Could the question be The dot plot shows the number of pets owned by the students in Jayod’s class.

The center, or the middle value, of the data set is _____.????

If it is that is the answer.

Hope this helps!! :)

5 0
3 years ago
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