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belka [17]
3 years ago
6

PLEASE HELP WITH ALGEBRA QUESTIONS!!

Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0
<span>1. (f+g)(x) = f(x) +g(x)
.. = (</span>x^2-36) +(<span>x^3+2x^2-10)
.. = x^3 +3x^2 -46

2. </span>(f•g)(x) = f(x)•g(x)
.. = (x^4-9)•(x^3+9)
.. = x^7 +9x^4 -9x^3 -81

<span>3. (f-g)(x) = f(x) -g(x)
.. = (x^3-2x^2+12x-6) -(4x^2-6x+4)
.. = x^3 -6x^2 +18x -10</span>
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<img src="https://tex.z-dn.net/?f=z%20%3D%203%20%2B%20i%20%5C%5C%20%7Bz%7D%5E%7B5%7D%20%3D%20" id="TexFormula1" title="z = 3 + i
jarptica [38.1K]

Answer:

z^{5} =  - 12 + 316 i

Step-by-step explanation:

Given that -

z = 3 + i

<em>z^{2} = ( 3 + i )^{2}</em>

<em>z^{2} = 9 + i^{2} + 6 i</em>

<em>z^{2} = 9 - 1 + 6 i</em>

z^{2} = 8 + 6 i

<em>z^{3} = z^{2} × z</em>

<em>z^{3} = ( 8 + 6 i ) × ( 3 + i )</em>

<em>z^{3} = 24 + 8 i + 18 i + 6 i²</em>

<em>z^{3} = 24 + 26 i - 6</em>

z^{3} = 18 + 26 i

z^{5} = z^{2} × z^{3}

<em>z^{5} = ( 8 + 6 i ) × ( 18 + 26 i )</em>

<em>z^{5} = 144 + 208 i + 108 i + 156 i²</em>

<em>z^{5} = 144 + 316 i -156</em>

z^{5} =  - 12 + 316 i

6 0
3 years ago
Is the point (-2, 5) a solution to the equation 2x + 5y = 0?
ratelena [41]

Answer:

No

Step-by-step explanation:

substitute -2 for 'x' and 5 for 'y'

2(-2) + 5(5) = 0?

-4 + 25 = 21, not 0

5 0
2 years ago
A punch bowl contained 2 liters of ginger ale, 1 liter of orange juice, and 1 liter of cranberry juice. Select all of the statem
loris [4]

Answer:

The ratio of juices to ginger ale is 2 to 2

The ratio of orange juice to the cranberry juice is 1 to 1

Step-by-step explanation:

Ginger ale = 2 liters

Orange juice = 1 liter

Cranberry juice = 1 liter

Total ratio = 2 + 1 + 1 = 4

The ratio of ginger ale to the entire punch bowl is 1 to 4.

Ginger ale : entire punch bowl

= 2 : 4

= 1 : 2

Not true

The ratio of orange juice to ginger ale is 2 to 1.

Orange juice : ginger ale = 1 : 2

Not true

The ratio of juices to ginger ale is 2 to 2.

juices : ginger ale = orange juice + cranberry juice : ginger ale

= 1 + 1 : 2

= 2 : 2

True

The ratio of the entire punch bowl to the juices is 2 to 4.

Entire punch bowl : juices 4 : 2

Not true

The ratio of orange juice to the cranberry juice is 1 to 1.

Orange juice : cranberry juice = 1 : 1

True

7 0
3 years ago
Convert to the given unit.<br> 3 T=___lb
damaskus [11]

Answer:

1 ton is equal to 2000 lbs

To find how many lbs is 3 tons, multiply 2000 by 3

2000 times 3 is 6000

So, 3 T = 6000 lbs

Hope I helped!

3 0
3 years ago
✼ <img src="https://tex.z-dn.net/?f=Hello." id="TexFormula1" title="Hello." alt="Hello." align="absmiddle" class="latex-formula"
ale4655 [162]
1675/3890 you are dividing 1675 by 3890 so it equals 0.43059...=0.4 simplified to the first decimal
3 0
2 years ago
Read 2 more answers
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