All categories

3 years ago

What is vertex of the equation y = 3( x -2)2 + 4 ? solve this for me plz

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Answer:

it does not match the form of any conic section.

not a Conic Section

Step-by-step explanation:

You might be interested in

A recent study found a correlation between gum disease and heart disease. This result indicates that gum disease causes people t

Yuliya22 [10]

Answer:

False

Step-by-step explanation:

Correlation measures the strength of the relation between two variables.

Further, Correlation is said to be positive if increasing/decreasing the one variable, also increases/decreases the values of another variable.

Correlation is said to be negative if increasing/decreasing the one variable, also decreases/increases the values of another variable.

Since we don't know here exists a positive correlation or negative correlation.

So here are two possible conditions:

The person who has Gum disease also has heart disease.

And, the person has Gum disease can never have heart disease.

Thus, the given statement is false.

5 0

3 years ago

There are five families that each have one child. Each of them hires Riley as a babysitter. Because the children she babysits ar

GREYUIT [131]

Answer:

Average Rate of Pay = $ 5.23 /hr

Step-by-step explanation:

We have a data in form of Hours of Baby Sitting and Amount of Pay. Since the Amount of pay depends upon the Hours of Baby Sitting. Thus, we take y = Amount of Pay, while x = Hours of Baby Sitting. So, the data becomes:

x (Hours) = 12 13 16 17 20

y ($) = 54 56 65 64 100

The statistical data calculated is:

∑x = 78, ∑x² = 1258, ∑y = 339, ∑xy = 5504, n = no. of data points = 5

Now, we use linear regression model to fit a straight line to this data.

y = a + bx --------- eqn (1)

where,

b = [ n∑xy - ∑x.∑y]/[n∑x² -(∑x)²]

b = [ (5)(5504) - (78)(339)]/[(5)(1258) - (78)²]

b = 5.23

and,

a = (∑xy - b∑x²)/∑x

a = [5504 - (5.23)(1258)]/78

a = -13.83

Therefore, eqn (1) becomes:

The graph plot of this straight line fit is provided in the attachments.

Now, we derivate the equation with respect to x, to get the average rate of pay:

Average Rate of Pay = dy/dx = d/dx(-13.83 + 5.23x)

<u>Average Rate of Pay = $ 5.23 /hr</u>

8 0

3 years ago

What is the missing constant term in the perfect square that starts with x^2 -20x

lidiya [134]

Answer:

Missing constant: 100

Step-by-step explanation:

perfect square (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

(x - 10)^2 = x^2 - 20x + 100

7 0

4 years ago

Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants does angle Θ terminate?

Cloud [144]

Answer:

True; quadrants I & IV

Step-by-step explanation:

We know the relation between sine and cosine function which is given by

$\sin^2 \theta +\cos^2 \theta = 1$

Let us solve this equation for cosine function.

$\cos^2 \theta = 1-\sin^2 \theta$

Take square root both sides. When ever we take square root we need to write the solution in plus minus form

$\sqrt{\cos^2 \theta}=\pm\sqrt{1-\sin^2 \theta}$

$\cos \theta=\pm\sqrt{1-\sin^2 \theta}$

$\cos \theta=-\sqrt{1-\sin^2 \theta}, \sqrt{1-\sin^2 \theta}$

If Θ is in quadrants I and IV then the value will be positive and if Θ is in II and III quadrant then the value is negative.

Hence, if Θ is in quadrants I & IV, then we have

$\cos \theta=\sqrt{1-\sin^2 \theta}$

Thus, the correct option is: True; quadrants I & IV

6 0

4 years ago

Read 2 more answers

Which first step for solving the given system using substitution results in an equation wit

Paraphin [41]

I don’t know if I’m right but I got 2/3 but you should use desmos

8 0

3 years ago