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3 years ago

The domain for f(x) and g(x) is the set of all real numbers.

Mathematics

1 answer:

Ad libitum [116K]3 years ago

6 0

Answer:

Step-by-step explanation:

multiplying f(x) × g(x) = (2x² + x - 3)(x + 2)

multiply each term in the first factor by each term in the second factor

= x(2x² + x - 3) + 2(2x² + x - 3) ← distributing gives

= 2x³ + x² - 3x + 4x² + 2x - 6 ← collect like terms

= 2x³ + 5x² - x - 6 → D

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Algebra 1 help please

Karo-lina-s [1.5K]

Short leg = 18 Long leg= 24 Hypotenuse= 30 My calculations were simple trial and error. I started with a trial of 10 for the short leg to begin with, averaging and estimating the appropriate proportions based off 6 additional increments. Sorry I don't have an algebraic method for you. Hope this has helped somewhat :)

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3 years ago

Find a cartesian equation for the curve and identify it. r = 10 tan(θ) sec(θ)

Vilka [71]

For a cartesian equation
$x=r\cos\theta \ and \ y=r\sin\theta \\ \\ \cos\theta=\frac{x}{r} \ and \ \sin\theta=\frac{y}{r} \\ \\ \tan\theta=\frac{\sin\theta}{\cos\theta}=\frac{y}{r}\cdot\frac{r}{x}=\frac{y}{x} \\ \\ \sec\theta=\frac{1}{\cos\theta}=\frac{r}{x}$

Given r = <span>10 tan(θ) sec(θ)
$r=10\tan\theta\sec\theta=10\cdot\frac{y}{x}\cdot\frac{r}{x} \\ \\ \Rightarrow10y=x^2 \\ \\ \Rightarrow y= \frac{1}{10} x^2$

Therefore,</span>the curve is a parabola opening upward with vertex (0, 0).

3 0

3 years ago

Convert the angle 117 radians to degrees.

Simora [160]

Answer:

21060°

Step-by-step explanation:

117x180°

=21060°

4 0

3 years ago

16x^2-16x=5 solve the equation by completing the square

Ivanshal [37]

This is your answer: x= -1/4 or x=5/4. Plze mark me brainiest:)

7 0

3 years ago

Okay that it 5^4x-13=125

Novosadov [1.4K]

Answer:

x=86250

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(1/5)^4*x-13-(125)=0

Step by step solution :

STEP

Simplify —

Equation at the end of step

(((—)4) • x) - 13) - 125 = 0

STEP

Equation at the end of step

((—— • x) - 13) - 125 = 0

STEP

Rewriting the whole as an Equivalent Fraction

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

13 13 • 625

13 = —— = ————————

1 625

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (13 • 625) x - 8125

—————————————— = ————————

625 625

Equation at the end of step

(x - 8125)

—————————— - 125 = 0

625

STEP

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 625 as the denominator :

125 125 • 625

125 = ——— = —————————

1 625

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(x-8125) - (125 • 625) x - 86250

—————————————————————— = —————————

625 625

Equation at the end of step

x - 86250

————————— = 0

625

STEP

When a fraction equals zero :

5.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-86250

——————— • 625 = 0 • 625

625

Now, on the left hand side, the 625 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-86250 = 0

Solving a Single Variable Equation:

5.2 Solve : x-86250 = 0

Add 86250 to both sides of the equation :

x = 86250

One solution was found :

x = 86250

7 0

2 years ago