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vaieri [72.5K]
3 years ago
11

Rewrite –4x3 +2y2 +3=0 so that all points on its graph are shifted 8 units up and 2 units to the left.

Mathematics
1 answer:
konstantin123 [22]3 years ago
6 0

Answer:

  -4(x +2)^3 +2(y -8)^2 +3 = 0

Step-by-step explanation:

To shift a function right by h units, replace x with x-h. Here, h = -2, so we want to substitute x+2 for x in the given equation.

To shift a function up by k units, replace y with y-k. Here, k = 8, so we want to substitute y-8 for y in the given equation.

Your translated graph has equation ...

  -4(x +2)^3 +2(y -8)^2 +3 = 0

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Sunny_sXe [5.5K]

Answer:

5.4 is rational. 5.4 divide by 2 is 2.45 5.3 and 5 3 are irrational, as it cant be divided easily

8 0
3 years ago
The tax on a property with an assessed value of $90,000 is $1,200. What is the assessed value of a property if the tax is $2,200
Ivanshal [37]
I'm not 100% sure but this is how I would try.
If you don't get a better answer, check this w/your teacher.

x/100 *90,000 = 1200

90,000x = 120,000

x = 1.3% tax percentage

1.3/100x = 2200

1.3x = 220,000

x = $169,230.77 assessed value

5 0
3 years ago
If the 10th of the 10 consecutive numbers is 10, what is their sum?
liq [111]
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
7 0
2 years ago
34 - 2(x + 17) = 23x - 15 - 3x what is x.
balandron [24]
X= 15/22. Hope this helps :)
6 0
3 years ago
Find the conjugate of the complex number, use division:<br> 2+i<br> ——<br> 1+i
Fittoniya [83]

I assume you mean divide using the conjugate to rationalize the denominator and express the result in standard rectangular form.

\dfrac{2+i}{1+i} = \dfrac{2+i}{1+i} \cdot \dfrac{1-i}{1-i} = \dfrac{2(1)-i^2-2i+i}{1^2+1^2} = \frac 3 2 - \frac 1 2 i


4 0
3 years ago
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