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strojnjashka [21]
3 years ago
12

Change the w-3/w+5 fraction into an equivalent fraction with the denominator w2 + w – 20

Mathematics
1 answer:
svp [43]3 years ago
7 0
\dfrac{w-3}{w+5}=\dfrac{(w-3)(w-4)}{(w+5)(w-4)}=\dfrac{w^2-4w-3w+12}{w^2+5w-4w-20}=\dfrac{w^2-7w+12}{w^2+w-20}
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Christian purchased a new car. The value of the car is depreciating at a
LenKa [72]

18000 represents the price of the new car.

The value of the car in 6 years can be found by substituting 6 for the variable t, as follows:

V = 18000(1-.12)^6\\V = 18000(0.4644)\\

In 6 years, it will be worth around $8359.27.

The equation for the car worth $20000 is this:

V = 20000(1-.15)^6\\V = 20000(0.3771)\\

In 6 years, the other car will be worth $7542.99, so the car worth $18000 will have more value in 6 years.

3 0
3 years ago
Need help from the same last question. (I dont need to do #10)
AysviL [449]
8. The y-intercept is -10. You can find this by just seeing where the line would hit the y-axis. This is basically the starting point so the Scuba Diver's decent started at -10m.

9. You have the y-intercept so put that in slope-intercept form. y=mx+b

y=mx - 10

Now find the slope by picking two points and using the slope formula. I'll use 
(30,-6) and (50,-4), and then plug in the values. 30 = x1, -6 = x2, 50 = x2, -4 = -4. Simplify.

m= y2-y1     -4 - (-6)       2            1
      -------- = ----------- =  --- / 2 =   --- 
      x2-x1      50 - 30      20          10
8 0
3 years ago
What is the slope of the line QR?
svetoff [14.1K]

Answer:

-3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the product of 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°))
saveliy_v [14]

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is 520[cos(18) + isin(18)]

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Complex number is in the form z = a + bi, where a and b are real numbers.

The product of the complex numbers 65(cos(14°)+ i sin(14°)) and 8(cos(4°)+ i sin(4°)) is:

z = 65 * 8 [cos(14 + 4) + isin(14 + 4)] = 520[cos(18) + isin(18)]

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0
2 years ago
Find the appropriate rejection regions for the large-sample test statistic z in these cases. (Round your answers to two decimal
Usimov [2.4K]

Answer:

a) We have that the significance is given by \alpha =0.01 and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case z_{crit}=2.33

So then the rejection region would be z>2.33

b) We have that the significance is given by \alpha =0.05, \alpha/2 =0.025 and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case z_{crit}=\pm 1.96

So then the rejection region would be z>1.96 \cup z

Step-by-step explanation:

Part a

We have that the significance is given by \alpha =0.01 and we know that we have a right tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 1% of the area on the right and 99% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.01,0,1)"

And we got for this case z_{crit}=2.33

So then the rejection region would be z>2.33

Part b

We have that the significance is given by \alpha =0.05, \alpha/2 =0.025 and we know that we have a two tailed test.

So for this case we need to look in the normal standard dsitribution a critical value that accumulates 2.5% of the area on the right and 97.5% of the area on the left. This value can be founded with the following excel code:

"=NORM.INV(1-0.025,0,1)"

And we got for this case z_{crit}=\pm 1.96

So then the rejection region would be z>1.96 \cup z

7 0
3 years ago
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