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3 years ago

What is the value of a if y=a(x-3)^2-1

Mathematics

1 answer:

Allisa [31]3 years ago

5 0

The value of the equation for "a" in terms of x and y is (y+1)/(x-3)²

Step-by-step explanation:

The equation is a classic example of a binomial equation in 2 variables and one constant.

Given- y=a(x-3)²-1

Transferring 1 to the left-hand side

y+1=a(x-3)²

We can opt for various method from now on like we can divide both the sides by (x-3)² or we can possibly transfer (x-3)² to the left-hand side to get the value of "a" in terms of "x" and "y"

∴ Opting for the first method, we get

(y+1)/(x-3)²=a

Thus the required value of "a" in terms of the variable "x" and "y" is as follows-

a= (y+1)/(x-3)²

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While working for Life magazine, Archie is assigned to the Galapagos Islands to photograph a rare, giant white turtle. The turtl

Sveta_85 [38]

Answer:

0.24

Step-by-step explanation:

From the information given:

Let's have a schematic view of a tree diagram

P(Santa Cruz) P(Isabella)

= 13/15 = 2/15

P(Success | Santa Cruz) = 0.09 P(Success | Isabella) = x

We are told that many have tried to locate the giant turtle, but 89% of them have failed.

This means the probability of success is:

P(success) = 1 - 0.89 = 0.11

We need to find P(Success | Isabella),

Suppose P(Success | Isabella) be x as shown above,

Then:

P (Success) = P(Santa) P((Success | Santa Cruz) + P(Isabella) P(Success | Isabella)

$0.11 = \dfrac{13}{15}(0.09)+ \dfrac{2}{15}(x)$

$0.11 - \dfrac{13}{15}(0.09)= \dfrac{2}{15}(x)$

$0.032= 0.133(x)$

make x the subject of the formula:

x = 0.032/0.133

x = 0.24

6 0

3 years ago

Freidy is practicing for the marathon. It takes him 1.75 hours to run 12.25 miles. At this rate, how long will it take you to co

Flauer [41]

Answer:

It would take him about 3.7 hours to run 26.2 miles because he can run 7 miles per hour and 26.2/7 is 3.7....

Step-by-step explanation:

hope this helps :)

5 0

3 years ago

Read 2 more answers

Can someone help please

sukhopar [10]

I agree with -3! Hopefully it did helped you

4 0

3 years ago

The probability of none will have high blood pressure if twenty percent of Americans age 25 to 74 have blood pressure .If 16 ran

andriy [413]

Answer:

The probability that none will have high blood pressure is 0.0281

Step-by-step explanation:

The correct question is as follows;

Twenty percent of Americans ages 25 to 74 have high blood pressure. If 16 randomly selected Americans ages 25 to 74 are selected, find each probablility. a. None will have high blood pressure

This is a binomial problem. We shall solve in that line

The probability of success is 20% or 0.2 [(Americans ages 25 to 74 have high blood pressure)] p = 0.2

The probability of failure q is thus 1-p = 1-0.2 = 0.8

The probability of none is thus;

P(X= 0) = 16C0 p^0 q^16

= 16C0 * 0.2^0 * 0.8^16 = 0.0281

8 0

3 years ago

Which of the follow triangles is similar to APOR?

Paul [167]

Answer:

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A: 12/15 simplifies to 4/5, wrong answer

Answer B: 9/12 simplifies to 3/4, wrong answer

Answer C: 6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

7 0

2 years ago