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2 years ago

PLEASE HELP ME WITH THIS

Mathematics

1 answer:

guajiro [1.7K]2 years ago

7 0

Answer:

Vertex

Vertex are the end points of parabola where it opens up

locus are the group of points

latus rectum is the line parallel to it .

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Starting with the number 3, build a sequence of 5 numbers.

just olya [345]

Answer:

3, 6, 9, 12, 15

adding 3 each time

3, 9, 27, 81, 243

multiplying by 3 each time

Step-by-step explanation:

8 0

3 years ago

How many solutions are there for the system x^2+4y^2=100 and 4y-x^2=-20

never [62]

There are 5 solutions for this system.

x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6

6 0

3 years ago

5x+2y=10; (-2, 9) if -2 is x and 9 is y

Dovator [93]

What are you looking for. slope?

4 0

3 years ago

Write an<br> algebraic expression for the following statement:<br> 9 times m increase by 6

raketka [301]

Answer:

9m+6

Step-by-step explanation:

9 times m is equivalent to 9m and if something is increasing by 6, its being added.

6 0

3 years ago

According to a recent publication, the mean price of new mobile homes is $63 comma 800. Assume a standard deviation of $7900.

wolverine [178]

Answer:

a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.

b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.

Step-by-step explanation:

In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{n}$

For n=25 we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{25}=7,900/5=1,580$

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.

This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.

If n=50, we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{50}=7,900/7.07=1,117$

4 0

3 years ago