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4 years ago

Please show your work on this and I’ll mark you brainliest!!

Mathematics

1 answer:

larisa [96]4 years ago

4 0

F(x) = 3x^2 + 4x - 1

f(-3) = 3(-3)^2 + 4(-3) - 1

f(-3) = 3 * 9 - 12 - 1

f(-3) = 27 - 12 - 1

f(-3) = 15 - 1

f(-3) = 14

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You can’t simplify that fraction.

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3 years ago

Solve the inequality for x 3^(6x+18)<27^(3x)

Lera25 [3.4K]

Answer:

$\displaystyle x > 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
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Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
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Subtraction Property of Equality

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Exponential Rule [Powering]: $\displaystyle (b^m)^n = b^{m \cdot n}$
Solving exponential equations

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle 3^{6x + 18} < 27^{3x}$

Step 2: Solve for x

Rewrite: $\displaystyle 3^{6x + 18} < 3^{3(3x)}$
Set: $\displaystyle 6x + 18 < 3(3x)$
Factor: $\displaystyle 3(2x + 6) < 3(3x)$
[Division Property of Equality] Divide 3 on both sides: $\displaystyle 2x + 6 < 3x$
[Subtraction Property of Equality] Subtract 3x on both sides: $\displaystyle -x + 6 < 0$
[Subtraction Property of Equality] Subtract 6 on both sides: $\displaystyle -x < -6$
[Division Property of Equality] Divide -1 on both sides: $\displaystyle x > 6$

8 0

3 years ago

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Can someone please help me with these questions? I’m desperate! As always, I will give brainliest . I promise.

professor190 [17]

Since the centre of dilatation is the origin, we only require to multiply each of the coordinate points by the scale factor 3

(- 2, 1 ) → ( - 6, 3 )

(- 2, 3 ) → (- 6, 9 )

(1, 2 ) → (3, 6 )

(1, 3 ) → (3, 9 )

5 0

3 years ago

What are the coefficients for the expression <img src="https://tex.z-dn.net/?f=4x4%20%2B%20x3%20%20-%202x2%20-%206x%20%2B%20

kirill115 [55]

4x^4+x3-2x^2-6x+2
step by step:

(1): "x2" was replaced by "x^2". 2 more similar replacement(s).

2. ((((4•(x4))+(x3))-2x2)-6x)+2 (equation at the end of step 1)

3. equation at the end of step 2:

(((22x4 + x3) - 2x2) - 6x) + 2

4. polynomial roots caclulator:
3.1 Find roots (zeroes) of : F(x) = 4x4+x3-2x2-6x+2
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is 2.

final result:

4x4 + x3 - 2x2 - 6x + 2

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3 years ago

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