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3 years ago

F(x) = (x - 2)² – 9 What is the vertex

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

(2,-9) vertex form is y =a(x-h)+k, and (h,k) is the vertex.

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How do I solve this? help please! xx

Anna35 [415]

This graph is composed of four straight line segments. You'll need to determine the slope, y-intercept and domain for each of them. Look at the first segment, the one on the extreme left. Verify yourself that the slope of this line segment is 1 and that the y-intercept would be 0 if you were to extend this segment all the way to the y-axis. Thus, the rule (formula, equation) for this line segment would be f(x)=1x+0, or just f(x)=x, for (-3,-1). Use a similar approach to write rules for the remaining three line segments.

Present your answer like this:
x, (-3,-1)
f(x) = -1, (-1,0)
one more here
one more here

5 0

3 years ago

In a particular course, it was determined that only 70% of the students attend class on Fridays. From past data it was noted tha

siniylev [52]

Answer: Probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

Step-by-step explanation:

Since we have given that

Probability that students attend class on Fridays = 70% = 0.7

Probability that who went to class on Fridays would pass the course = 95% = 0.95

Probability that who did not go to class on Fridays would passed the course = 10% = 0.10

Let A be the event students passed the course.

Let E be the event that students attend the class on Fridays.

Let F be the event that students who did not attend the class on Fridays.

Here, P(E) = 0.70 and P(F) = 1-0.70 = 0.30

P(A|E) = 0.95, P(A|F) = 0.10

We need to find the probability that they did not attend on Fridays.

We would use "Bayes theorem":

$P(F\mid A)=\dfrac{P(F).P(A\mid F)}{P(E).P(A\mid E)+P(F).P(A\mid F)}\\\\P(F\mid A)=\dfrac{0.30\times 0.10}{0.70\times 0.95+0.30\times 0.10}\\\\P(F\mid A)=\dfrac{0.03}{0.695}=0.043$

Hence, probability that students who did not attend the class on Fridays given that they passed the course is 0.043.

8 0

3 years ago

How to get the number 2016 using math

Lapatulllka [165]

2000 + 16 = 2016

1008 * 2 = 2016

3000 - 984 = 2016

8064 / 4 = 2016

there are 4 different ways

6 0

2 years ago

What is the volume of this sphere to the nearest hundredth?

Ivahew [28]

4/3πr^2

4/3*22/7*r/2^2

4/3* 22/7 *5.95^2= 148.293

8 0

2 years ago

I. Word Problems: -

Fofino [41]

Step-by-step explanation:

642 ÷ 36 = 17.8

so 17 boxes

17* 36 = 612 642-612 = 30

30 umbrellas were left

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2 years ago