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3 years ago

If f(x)=3x^2 and g(x)=4x^2+1, what is the degree of (f0g)(x)

Mathematics

2 answers:

Oxana [17]3 years ago

5 0

Answer:

6⃣

Step-by-step explanation:

3 + 24x² + 48x⁶; take the highest degree term possible.

Umnica [9.8K]3 years ago

5 0

Answer:

degree 6

Step-by-step explanation:

To obtain (f ￮ g(x) substitute x = g(x) into f(x)

f(4x³ + 1)

= 3(4x³ + 1)²

= 3(16 $x^{6}$ + 8x³ + 1)

= 48 $x^{6}$ + 24x³ + 3

The degree is determined by the term with the largest exponent.

In this case 48 $x^{6}$ ← with exponent 6

Hence the polynomial is of degree 6

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25 (a square) - 4 (b square) + 28bc - 49 (c square)

LUCKY_DIMON [66]

Answer:

(5a - [2b - 7c]) and (5a + [2b + 7c])

Step-by-step explanation:

Factor 25a^2 - 4b^2 + 28bc - 49c^2.

Note that - 4b^2 + 28bc - 49c^2 involves the variables b and c, whereas 25a^2 has only one variable. Thus, try to rewrite - 4b^2 + 28bc - 49c^2 as the square of a binomial:

- 4b^2 + 28bc - 49c^2 = -(4b^2 - 28bc + 49c^2), or

-(2b - 7c)^2.

Thus, the original 25a^2 - 4b^2 + 28bc - 49c^2 looks like:

[5a]^2 - [2b - 7c]^2

Recall that a^2 - b^2 is a special product, the product of (a + b) and (a - b). Applying this pattern to the problem at hand, we conclude:

Thus, [5a]^2 - [2b - 7c]^2 has the factors (5a - [2b - 7c]) and (5a + [2b + 7c])

8 0

3 years ago

Jennifer began a savings account. She initially put $100 in the account and then

vitfil [10]

Jennifer would have $580 in her account after 24 months

a(x) = 20x + 100

the above function is a linear function

A linear function is a function that has a single variable raised to the power of 1.

100 is the constant

20 increases by m

a(x) is the dependent variable. Its value depends on the amount deposited per month and the number of months

The amount she would have after 24 months =

20(24) + 100 = $580

To learn more about linear functions, please check : brainly.com/question/20286983?referrer=searchResults

5 0

3 years ago

X=2y+1 solve for y Can someone solve this for me. I’m lowkey slow

saveliy_v [14]

X=2y+1
x-1=2y
y=x/2-1/2

7 0

3 years ago

Read 2 more answers

Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y-2 = -2(x+6)

Dennis_Churaev [7]

Answer:

6x + -2y or 2y = 4

Step-by-step explanation:

I think

6 0

3 years ago

3 + 1.2 x > 13.50 can someone please help me

saveliy_v [14]

Answer:

The answer is x > 8.75.

Step-by-step explanation:

1) Subtract 3 from both sides.

$1.2x > 13.50 - 3$

2) Simplify 13.50 - 3 to 10.5.

$1.2x > 10.5$

3) Divide both sides by 1.2.

$x > \frac{10.5}{1.2}$

4) Simplify 10.5/1.2 to 8.75.

$x > 8.75$

Thus, the answer is x > 8.75.

8 0

3 years ago