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Bogdan [553]
3 years ago
15

The function g(x) =x^(2)+3. The function f(x)=g(x+2).

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

Answer:2 units left of g(x)

2 units down from g(x)

Step-by-step explanation: plug in the formulas

r-ruslan [8.4K]3 years ago
6 0

Answer:

Function is shifted horizontally, 2 units left of g(x). There is no vertical shift.

Step-by-step explanation:

Adding a real number s to the argument of a function will have an effect of shifting the graph of the function horizontally by s units. If s>0 the shift is to the left, for s<0 the shift is to the right. See attached plot of the two functions  of g(x) and g(x+2), if you are curious enough.  

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Can u plz help meh with this 6th grade math. U have to write an algebraic equation and solve. Only solve 2, 3, 4, 7, 8. Thank Yo
ra1l [238]
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7. 40-2x=8
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3 0
3 years ago
Using the binomial theorem , obtain the expansion of :
andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1  6  15  20  15  6  1

Decreasing powers of 1 from 1^{6} to 1^{0}

Increasing powers of 3x from (3x)^{0} to (3x)^{6}

1+3x)^{6}

= 1.1^{6}(3x)^{0} + 6.1^{5}(3x)^{1} + 15.1^{4}(3x)^{2} + 20.1^{3}(3x)^{3} + 15.1²(3x)^{4} + 6.1^{1}(3x)^{5} + 1.1^{0}(3x)^{6}

= 1 + 18x + 135x² + 540x³ + 1215x^{4} + 1458x^{5} + 729x^{6}

--------------------------------------------------------------------------------------

(1-3x)^{6}

= 1.1^{6}(-3x)^{0} + 6.1^{5}(-3x)^{1} + 15.1^{4}(-3x)^{2} + 20.1^{3}(-3x)^{3} + 15.1²(-3x)^{4} + 6.1^{1}(-3x)^{5} + 1.1^{0}(-3x)^{6}

= 1 - 18x + 135x² - 540x³ + 1215x^{4} - 1458x^{5} + 729x^{6}

----------------------------------------------------------------------------------

Collecting like terms from both expressions

(1+3x)^{6} + (1-3x)^{6}

= 2 + 270x² + 2430x^{4} + 1458x^{6}

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1  5  10  10  5  1

Decreasing powers of 1 from 1^{5} to 1^{0}

Increasing powers of 2x from (2x)^{0} to (2x)^{5}

(1+2x)^{5}

= 1.1^{5}(2x)^{0} + 5.1^{4}(2x)^{1} + 10.1^{3}(2x)^{2} + 10.1^{2}(2x)^{3} + 5.1^{1}(2x)^{4}+ 1.1^{0}(2x)^{5}

= 1 + 10x + 40x² + 80x³ + 80x^{4} + 32x^{5}

8 0
3 years ago
Find the following special products.
Anna [14]
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4 0
3 years ago
Need help in math hurry
Ede4ka [16]

Answer: y= -7x

Step-by-step explanation:

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Rachel buys 1 gallon of milk. Her sister Abby uses 1 1 2 quarts of the milk in a recipe. Then her mother uses 3 cups of the milk
mrs_skeptik [129]

1 Gallon is equal to 4 Quarts.

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10-3=7

There are 7 Cups left.

7 Cups is equal to 56 Fluid Ounces.

Therefore, the answer is B.

7 0
3 years ago
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