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torisob [31]
4 years ago
8

In which quadrant would the vertex of f(x+ 3) + 2 be located?

Mathematics
1 answer:
klasskru [66]4 years ago
8 0

Answer:

QII

Step-by-step explanation:

I'm thinking that this is supposed to be a quadratic and you forgot the ^2 at the end of the (x + 3).  IF this is the case, then the vertex form of a quadratic is

y=(x-h)^2+k where the h inside the parenthesis with the x- indicates side to side movement and the k indicates up and down movement.  Both translations begin at the origin, of course.  The important thing to remember here is that the form "x -" is constant.  So if our quadratic reflects "x - 3", then it is understood to be "x - (3)" and the movement is 3 units to the right.  If the quadratic reflects "x + 3", then it is understood to be "x - (-3)" and the movement is 3 units to the left.  Our quadratic, then, is shifted 3 units to the left of the origin and up 2 units, putting us in QII.

If this is what it appears to be, (x + 3) + 2, then it is x + 5 which is a line that has no vertex (which is why I'm thinking it must be a mistyped quadratic!)

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Anyone have a answer for this?
LiRa [457]

Answer:

36.1 meters

Step-by-step explanation:

Since this is a rectangle, the parallel sides are equal to each other, meaning we technically already know all the side lengths.

I'll choose to look at the bottom triangle in this case

30 is already there, and the other leg should be 20. Knowing this, we can plug these into the pythagorean theorem.

20 is A, 30 is B, and the missing side is C

a^{2} + b^{2} = c^{2}\\20^{2}  + 30^{2} = c^{2} \\400 + 900 = 1300 \\\sqrt{1300} = 36.06\\

C, the missing side to the nearest tenth is 36.1 meters

7 0
3 years ago
What is the product of (–0.9)(–2.4)?<br> –3.3<br> –2.16<br> 2.16<br> 3.3
saul85 [17]
The answer would be 2.16.

This is because the two negatives would cancel each other out when multiplying. This would basically make the question 0.9*2.4.
Now 3.3 is definitely not less than 2.4, so the answer would be 2.16
7 0
4 years ago
Read 2 more answers
Find the percent of change in the perimeter.
WINSTONCH [101]

Answer:

-30%

Step-by-step explanation:

currently, the perimeter is: 4 + 6 + 4 + 6 = 20 in.

when the width of 4 in is decreased by 3 in, the new width become (4-3) in = 1 in

therefore, the new perimeter is: 1 + 6 + 1 + 6 = 14 in

the change in perimeter is: 20 in - 14 in = 6 in

now, the percent of change in perimeter will be:

\frac{change- in -perimeter}{original -perimeter} *100 = \frac{6}{20}*100 = 30%

BUT because this change is a DECREASE, you have to put a NEGATIVE sign before the value to inducate that it's a decrease, so

change in perimeter = -30%

7 0
3 years ago
The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what i
vitfil [10]

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

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The equation in y=mx+b form is 1/4x-9.
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