Can some one help me find x for this equation :<br> (6x^3+11x^2-12x-1)/(3x+1)

UNO [17]

The remaining 2 debts have to add up to a cetain number which I represent as x.
476.25 - 93.22 - x = 0
x = 383.03
The correct two debts should add up to -383.03.
Therefore the answer is B. -66.72 and -316.31

7 0

3 years ago

A line passes through the points (-7, 2) and (1, 6).A second line passes through the points (-3, -5) and (2, 5).Will these two l

BlackZzzverrR [31]

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

Explanation:

Step 1. The first line passes through the points:

(-7,2) and (1,6)

and the second line passes through the points:

(-3,-5) and (2,5)

Required: State if the lines intersect, and if so, find the solution.

Step 2. We need to find the slope of the lines.

Let m1 be the slope of the first line and m2 be the slope of the second line.

The formula to find a slope when given two points (x1,y1) and (x2,y2) is:

$m=\frac{y_2-y_1}{x_2-x_1}$

Using our two points for each line, their slopes are:

$\begin{gathered} m_1=\frac{6-2}{1-(-7)} \\ \\ m_2=\frac{5-(-5)}{2-(-3)} \end{gathered}$

The results are:

$\begin{gathered} m_1=\frac{6-2}{1-(-7)}=\frac{4}{1+7}=\frac{4}{8}=\frac{1}{2} \\ \\ \end{gathered}$ $m_2=\frac{5+5}{2+3}=\frac{10}{5}=2$

The slopes are not equal, this means that the lines are NOT parallel, and they will intersect at some point.

Step 3. To find the intersection point (the solution), we need to find the equation for the two lines.

Using the slope-point equation:

$y=m(x-x_1)+y_1$

Where m is the slope, and (x1,y1) is a point on the line.

For the first line m=1/2, and (x1,y1) is (-7,2). The equation is:

$y=\frac{1}{2}(x-(-7))+2$

Solving the operations:

$\begin{gathered} y=\frac{1}{2}(x+7)+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+7/2+2 \\ \downarrow\downarrow \\ y=\frac{1}{2}x+5.5 \end{gathered}$

Step 4. We do the same for the second line. The slope is 2. and the point (x1,y1) is (-3, -5). The equation is:

$\begin{gathered} y=2(x-(-3))-5 \\ \downarrow\downarrow \\ y=2x+6-5 \\ \downarrow\downarrow \\ y=2x+1 \end{gathered}$

Step 5. The two equations are:

$\begin{gathered} y=\frac{1}{2}x+5.5 \\ y=2x+1 \end{gathered}$

Now we need to solve for x and y.

Step 6. Equal the two equations to each other:

$\frac{1}{2}x+5.5=2x+1$

And solve for x:

$\begin{gathered} \frac{1}{2}x+5.5=2x+1 \\ \downarrow\downarrow \\ 5.5-1=2x-\frac{1}{2}x \\ \downarrow\downarrow \\ 4.5=1.5x \\ \downarrow\downarrow \\ \frac{4.5}{1.5}=x \\ \downarrow\downarrow \\ \boxed{3=x} \end{gathered}$

Step 7. Use the second equation:

$y=2x+1$

and substitute the value of x to find the value of y:

$\begin{gathered} y=2(3)+1 \\ \downarrow\downarrow \\ y=6+1 \\ \downarrow\downarrow \\ \boxed{y=7} \end{gathered}$

The solution is x=3 and y=7, in the form (x,y) the solution is (3,7).

Answer:

Yes, the lines intersect at (3,7). The solution is (3,7).

6 0

1 year ago

There are eight boys in a pre-school class. Their mean height is 33 inches and their median height is 33 inches. The tallest boy

Mekhanik [1.2K]

Using the median concept, it is found that it would remain the same, as only the tallest student is replaced, which does not influence the median.

<h3>What is the median?</h3>

The median of a data-set is the value that <u>separates the bottom 50% from the upper 50% of values.</u>

Hence:

In a data-set of 8 values, the median is the <u>mean between the 4th and the 5th elements</u>.

Only the tallest student is replaced, which is the 8th element, hence not affecting the median, which remains the same.

You can learn more about the median concept at brainly.com/question/23923146

4 0

2 years ago

At a baseball game, a vender sold a combined total of 147 sodas and hot dogs. The number of sodas sold was two times the number

LuckyWell [14K]

He sold 135 hotdogs please make me brainlist

8 0

3 years ago

The area of a triangular sign is 48 ft. If the base of the sign is 16 feet, what is the height of the sign?

Black_prince [1.1K]

Answer:

h=6ft

Step-by-step explanation:

A=(1/2)bh

48=16(1/2)h

3=(1/2)h

h=6ft

3 0

3 years ago

Can some one help me find x for this equation : (6x^3+11x^2-12x-1)/(3x+1)