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3 years ago

Compare the structure of the two

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

8 0

Answer:

single term
sum of 4 terms, some of which can be expanded further

Step-by-step explanation:

1. 3x

This is a single term with one variable of the first degree.

2. 4x + 9(2x + 1) x² + 6(-2x + 1) - 3(7 + x?)

This is a sum of 4 terms, some of which can be expanded:

4x
9(2x+1)x^2 ⇒ 18x^3 +9x^2
6(-2x +1) ⇒ -12x +6
-3(7+x?) ⇒ -3x? -21

The expression can be simplified by combining like terms.

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Evaluate f(x) when x = 6.

BartSMP [9]

Answer:

f(x) = x-6

Step-by-step explanation:

Since x = 6, which is a positive number, the answer should be of f(x) = x-6.

When x = -6, which is a negative number, then the answer should be f(x) = x+6.

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2 years ago

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Evaluate f(x) = -4x + x2 + 16 for f(-4).

kipiarov [429]

Answer:

$f(-4)=48$

Step-by-step explanation:

<u>Value of functions</u>

To evaluate a function for a given value of x, we replace the x for the value and perform the resulting operations.

The given function is (corrected):

$f(x)=-4x+x^2+16$

We need to find f(-4), so we use x=-4:

$f(-4)=-4*(-4)+(-4)^2+16$

$f(-4)=16+16+16$

$\boxed{f(-4)=48}$

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3 years ago

How do i find the geometric between 8 and 18

bagirrra123 [75]

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2 years ago

How does the graph of g(x) = (x − 1)3 + 5 compare to the parent function f(x) = x3?

ser-zykov [4K]

Answer:

The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.

Step-by-step explanation:

Recall the four very important rules regarding translations (shifts) of the graph of functions:

1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.

2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.

3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.

4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.

We notice that in our case, The original function $f(x)=x^3$ has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).

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2 years ago

HELP!!!In the expression 100 a/b, if a is greater than b, which statements are true? b ≠ 0. Select all that apply.

MAXImum [283]

Answer:

$\large\boxed{\text{The expression is equal to}\ \sqrt[b]{100^a}}\\\boxed{\text{The expression is greater than 100}}$

Step-by-step explanation:

$a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\text{True statement:}\\\\100^\frac{a}{b}=\sqrt[b]{100^a}\\\\a>b\to\dfrac{a}{b}>1\to\dfrac{a}{b}=1\dfrac{a-b}{b}\\\\100^\frac{a}{b}=100^{1\frac{a-b}{b}}=100^{1+\frac{a-b}{b}}=100^1\cdot100^\frac{a-b}{b}=100\sqrt[b]{100^{a-b}}\\\\a>b\to a-b>0\to100^{a-b}>1\\\\\text{Therefore}\ 100\sqrt[b]{100^{a-b}}>100$

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2 years ago