All categories

3 years ago

(x^3-4x^2+7x-28)/(x^2+7)

Mathematics

1 answer:

saw5 [17]3 years ago

6 0

Answer:

-x+4

Step-by-step explanation:

given that

(x^3-4x^2+7x-28)÷(x^2+7)

first (x^2+7) × -x = -x^3-7x

so (x^3-4x^2+7x-28) + (-x^3-7x) = -4x^2-28

agian (x^2+7)×(4) = 4x^2+28

so, (-4x^2-28) + (4x^2+28) = 0

hence the quotient is -x+4

You might be interested in

The watermelon that weighed 12 pounds cost $5.76 what was the cost per ounce of the watermelon? A. $0.48 B. $0.36 C. $0.03 D.

Leto [7]

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

$\frac{5.76}{12} = 0.48 \:$

6 0

3 years ago

Consider functions f and g.1 + 12f(1) = 12 + 4. – 12for * # 2 and 7 -64.2 – 16. + 1641 +48for a # -12 Which expression is equal

lisabon 2012 [21]

Given the following functions below,

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}\text{ and} \\ g(x)=\frac{4x^2-16x+16}{4x+48} \end{gathered}$

Factorising the denominators of both functions,

Factorising the denominator of f(x),

$\begin{gathered} f(x)=\frac{x+12}{x^2+4x-12}=\frac{x+12}{x^2+6x-2x-12}=\frac{x+12}{x(x+6)-2(x+6)}=\frac{x+12}{(x-2)(x+6)} \\ f(x)=\frac{x+12}{(x-2)(x+6)} \end{gathered}$

Factorising the denominator of g(x),

$\begin{gathered} g(x)=\frac{4x^2-16x+16}{4x+48}=\frac{4(x^2-4x+4)}{4(x+12)} \\ \text{Cancel out 4 from both numerator and denominator} \\ g(x)=\frac{x^2-4x+4}{x+12}=\frac{x^2-2x-2x+4}{x+12}=\frac{x(x-2)-2(x-2)}{x+12}=\frac{(x-2)^2}{x+12} \\ g(x)=\frac{(x-2)^2}{x+12} \end{gathered}$

Multiplying both functions,

$undefined$

4 0

1 year ago

What is the equation of the line that passes through (-3, -1) and has a slope of 2/5? Put your answer in slope-intercept form.

Zanzabum

Hi there!

The general formula of A line in slope-intercept form is the following:
$y = mx + n$

In this formula m represents the slope of the line. Therefore, we can conclude that m = 2/5.
$y = \frac{2}{5} x + n$

We also know that the line passes through the point (-3, -1) and we can therefore substitute this coordinate into the formula of the line.
x = -3 and y = -1

$- 1 = \frac{2}{5} \times - 3 + n$

Multiply first.
$- 1 = - 1\frac{1}{5} + n$

And finally add 1 1/5 to both sides of the equation.
$\frac{1}{5} = n$

We can now switch sides.
$n = \frac{1}{5}$

Now we've found our value of n, which we can substitute into the formula of our line. Hence, in slope-intercept form, we find the following:
$y = \frac{2}{5} x + \frac{1}{5}$

7 0

4 years ago

Write an equation for the proportional relationship shown in the table.

VladimirAG [237]

9514 1404 393

Answer:

y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

y = kx

y = 38x

3 0

3 years ago

A mystery number is multiplied by 11 then 10 is subtracted from it to give you a result of 34. What is the mystery number?

klemol [59]

Answer:

Step-by-step explanation:

And let the missing number be x

We can solve using Algebra

11x - 10 = 34

11x = 34 + 10

11x = 44

x = 44/11

x = 4

For verification:

4(11) - 10 = 34

44 - 10 = 34

34 = 34

Hence, Proved

3 0

3 years ago