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3 years ago

State whether the following is perpendicular or parallel x+3y=6 x+3y=-3

Mathematics

1 answer:

lesantik [10]3 years ago

3 0

Answer:

parallel

Step-by-step explanation:

When put in slope intercept form, both have a slope of -1/3. Since they share the same slope, the lines are parallel.

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If f(x)=x^3−5x^2−2x+24 and (x+2) is a factor, what are the remaining factors?

Sauron [17]

Answer:

(x+2), (x-4), (x-3)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

Explanation:

Let f(x) =x^3 − 5x^2 − 2x + 24

By the rational root theorem, any rational zeros of f(x) must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.

That means that the only possible rational zeros are the factors of 24, namely:

± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24

Try each in turn:

f(1) = 1 − 5 − 2 + 24 = 18

f(−1) = −1 − 5 + 2 + 24 = 20

f(2) = 8 − 20 − 4 + 24 = 8

f(−2) = −8 − 20 + 4 + 24 = 0

So x = −2 is a zero and (x + 2) is a factor.

x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)

We can factor

x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:

x^2 − 7x + 12 = (x − 4)(x − 3)

Putting it all together:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

7 0

3 years ago

Please help !! Correct and first answer I’ll give you brainesttttt ! What is the equation of the line?

jasenka [17]

Step-by-step explanation:

can u give image PlZzzzz ....

7 0

4 years ago

Read 2 more answers

What is the square root of 2?

Ostrovityanka [42]

Answer: It is a never ending/irrational number

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

2 - 2f(x)X + 1g(x) = 18 - 3.2Escreva (fog)(2) como uma expressão em função de 2.(fog)(x) =

vladimir1956 [14]

Answer

$(f\text{ o g)(x) = }\frac{3x-16}{17-3x}$

Explanation

We are given that

f(x) = (2 - x)/(x + 1)

g(x) = 18 - 3x

We are then asked to find (f o g)(x)

(f o g) (x) is the same as writing the expression for f(x) but instead of x, we will write g(x) in the expression.

$\begin{gathered} f(x)=\frac{2-x}{x+1} \\ (\text{fog)(x) = }\frac{2-g(x)}{g(x)+1} \end{gathered}$

Recall that

g(x) = 18 - 3x

So,

$\begin{gathered} (\text{fog)(x) = }\frac{2-g(x)}{g(x)+1} \\ (\text{f o g)(x) = }\frac{2-(18-3x)}{18-3x+1} \\ (f\text{ o g)(x) = }\frac{2-18+3x}{17-3x} \\ (f\text{ o g)(x) = }\frac{-16+3x}{17-3x} \\ (f\text{ o g)(x) = }\frac{3x-16}{17-3x} \end{gathered}$

Hope this Helps!!!

5 0

1 year ago

Solve for all possible values of x.

KATRIN_1 [288]

Answer:

Option d) x = 25

Step-by-step explanation:

we have

$\sqrt{x-9}+4=8$