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kramer
4 years ago
10

Simplify x + x + y x y plz thx

Mathematics
2 answers:
Zanzabum4 years ago
6 0

Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

Anna35 [415]4 years ago
3 0

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A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.
Serggg [28]

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

  • The vertex of the parabola is (h, k)
  • The focus is (h, k + p)
  • The directrix is at y = k - p  

∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

∴ h = 4

∴ k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

∴ k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

∴ k = 1

→ Substitute the value of k in equation (1)

∵ 1 + p = -3

→ Subtract 1 from both sides

∴ 1 - 1 + p = -3 - 1

∴ p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

∴ The equation of the parabola is (x - 4)² = -16(y - 1)

3 0
3 years ago
What is the angle of rotation for point S mapped to point R?
VARVARA [1.3K]

Answer:

60 degrees counterclockwise

Step-by-step explanation:

One circle is 360 degrees.

If the circle is split into 6 pieces, (360/6 = 60), then each piece is 60 degrees, like in the example.

7 0
3 years ago
Read 2 more answers
Can someone help me? very important
ddd [48]

Answer:


Step-by-step explanation:

Is this graphing? If so, remember the formula: y=mx+b

If it's y=-1/3x+1, then 1 is your slope intercept

Place the dot on your graph where 1 is on your y-intercept.

Graphing -1/3x is just like rise over run, positives go up then right, (If 1/3 was graphed you would go 1 pixel up then 3 to the right.)

Since -1/3x is a negative, you're going down 1, left 3. It should give you a line that is coming from the top of the graphing box to the bottom.

If you want, create a table for x and y. If 0 was your x, then your y is 1, this is because theres a +1 in your equation.

If 3 was your x, then your y would be 0, because -1/3(3) + 1 is 0.

5 0
4 years ago
A variety of stores offer loyalty programs. Participating shoppers swipe a bar-coded tag at the register when checking out and r
dsp73

Answer:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236    

Now we can find the degrees of freedom:

df=n-1=80-1=79  

Now we can calculate the p value with the alternative hypothesis using the following probability:

p_v =P(t_{(79)}>2.236)=0.0141  

Using a significance level of 0.01 or 1% we have enough evidence to FAIL to reject the null hypothesis and we can conclude that shoppers participating in the loyalty program NOT spent more on average than typical shopper at this significance level assumed

Step-by-step explanation:

Information given

\bar X=130 represent the sample mean

s=40 represent the sample standard deviation

n=80 sample size  

\mu_o =120 represent the value to verify

t would represent the statistic  

p_v represent the p value

System of hypothesis

We want to verify if  shoppers participating in the loyalty program spent more on average than typical shoppers (120) , the system of hypothesis would be:  

Null hypothesis:\mu \leq 120  

Alternative hypothesis:\mu > 120  

The statistic for this case is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{130-120}{\frac{40}{\sqrt{80}}}=2.236    

Now we can find the degrees of freedom:

df=n-1=80-1=79  

Now we can calculate the p value with the alternative hypothesis using the following probability:

p_v =P(t_{(79)}>2.236)=0.0141  

Using a significance level of 0.01 or 1% we have enough evidence to FAIL to reject the null hypothesis and we can conclude that shoppers participating in the loyalty program NOT spent more on average than typical shopper at this significance level assumed

3 0
4 years ago
Five brothers are going to take turns watching their family's new puppy. How much time will each brother spend watching the pupp
Pachacha [2.7K]

Answer:

4 hours 48 minutes

Step-by-step explanation:

Right now, in this problem the whole set comprises of a single day and you know that there are 24 hours in a day.

In order to solver the problem,you have to draw a number line of length 24 and then separate it into 5 equal parts.  (because there are total five brothers)

or simply, just divide 24 by 5.

= 24/5  => 4\frac{4}{5} hours

lets convert 4/5 hour to minutes, as you know there are 60 minutes in one hour.

therefore, 4/5 x 60= 48 minutes.

Answer: Each brother will spend 4\frac{4}{5} hours watching the puppy in single day, which is likewise 4 hours 48 minutes

5 0
3 years ago
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