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1 year ago

At which value(s) of x does the graph of the function F(x) have a vertical

Mathematics

1 answer:

Svetlanka [38]1 year ago

8 0

The function is f(x)=x/(x+2)(x-1). The vertical asymptote of the function are -2 and 1.

Given that,

The function is f(x)=x/(x+2)(x-1)

We have to find the vertical asymptote of the function.

A vertical asymptote is a line that appears to correspond with a function's graph but never really touches the curve. When graphing a function, the vertical asymptote of the function is crucial.

Take the function,

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

Take the denominator is equal to 0.

(x+2)(x-1)=0

x+2=0 or x-1=0

x=-2 or x=1

Therefore, the vertical asymptote of the function are -2 and 1.

To learn more about function visit: brainly.com/question/12431044

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Yuri [45]

Step-by-step explanation:

This can be put into fractions like this

Say x is the length of the missing dimension

8.5/11 = 10.5/x

Because the 2 drawings are SIMILAR, the ratio of their side lengths has to also be the same

8.5 ÷ 10.5 = 0.8095

11 × 0.8095 = 8.9047

Roung the answer to the nearest tenth

x = 8.9 in

5 0

3 years ago

Nine scores have an average of 8. Scores x and x+1 are added, and these increase the average to 9. Find x

Degger [83]

Answer:

x must be 13

Step-by-step explanation:

Represent the nine scores by a, b, c, d, e, f, g, h, i.

Write the following equation to indicate that the average of these nine scores is 8:

a+b+c+d+e+f+g+h+i

----------------------------- = 8, or <em>a+b+c+d+e+f+g+h+i = 72</em> if we multiply both

9 sides of this equation by 9.

Next, we add scores x and x+ 1 to

a+b+c+d+e+f+g+h+i + x + x + 1

and divide the result by 11, as there are now 11 scores instead of just 9:

a+b+c+d+e+f+g+h+i + x + x + 1

----------------------------------------------

Earlier, we saw that a+b+c+d+e+f+g+h+i = 72. We can now replace

a+b+c+d+e+f+g+h+i in the above fraction by 72:

72 + 2x + 1

------------------- = 9 (as the new average is 9)

Multiplying both sides of this equation by 11 results in:

73 + 2x = 99, or 2x = 26.

Then x must be 13, and x + 1 must be 14.

3 0

3 years ago

What is the answer?

Dimas [21]

Answer:

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Which of the following is an equation of the line that passes through the point (5/3,-6) and has a slope of -3/4

ratelena [41]

Line through (a,b) with slope m is

y - b = m(x -a)

Here that's line through (a,b)=(5/3, -7) with slope m=-3/4

y - -7 = (-3/4) (x - 5/3)

Solve for y,

y + 28/4 = (-3/4) x + 5/4

y = (-3/4) x - 23/4

Look at the choices.

Answer: D

6 0

3 years ago

6 A U 3 3 1 2 3 What is the equation of the line in slope-intercept form? The equation of the line is

AleksandrR [38]

Answer:

$y = -\frac{5}{4} x+5$

Step-by-step explanation:

1) First, find the slope of the line by using two points on the graph. We can see that (0,5) and (4,0) are clearly marked on the line, so let's use those points. Use the slope formula $m = \frac{y_2-y_1}{x_2-x_1}$ and substitute the x and y values of those points into it, then simplify:

$m =\frac{0-5}{4-0} \\m = \frac{-5}{4}$

So, the slope is $-\frac{5}{4}$ .

2) Now, identify the y-intercept on the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that the line intersects the y-axis at (0,5), so that must be the y-intercept.

3) Substitute values for $m$ and $b$ in the slope-intercept formula, $y = mx + b$ , to write the equation of the line. Since $m$ represents the slope, substitute $-\frac{5}{4}$ for it. Since $b$ represents the y-intercept, substitute 5 in its place. This gives the following answer and equation in slope-intercept form:

$y = -\frac{5}{4} x+5$

5 0

3 years ago