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3 years ago

Y=8x-3/-4x-10 has a vertical asymptote with equation(enter equation of the vertical asymptote

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

x=-2.5 if the function is $f(x)=\frac{8x-3}{-4x-10}$

Step-by-step explanation:

$y=\frac{8x-3}{-4x-10}$ has discontinuities when the denominator is 0.

You will either have a hole or a vertical asymptote depending on what happens to the numerator after you find when the bottom is 0.

That is whatever you found that makes the bottom 0, if it makes the top also 0 then you will have a hole at x=the number that made the bottom 0.

If it makes the top anything other than 0, then it is a vertical asymptote at x=the number you found that made the bottom 0.

Let's do this now.

When is -4x-10 equal to 0?

We have to solve the equation:

-4x-10=0

Add 10 on both sides:

-4x=10

Divide both sides by -4:

x=10/-4

Reduce by dividing top and bottom by 2:

x=5/-2

x=-5/2

x=-2.5 (if you want decimal form)

Now does it make the top 0? This is the deciding factor on whether you have a hole at x=-2.5 or a vertical asymptote at x=-2.5.

Let's see.

8(-2.5)-3=-23

Since the top is not 0 at x=-2.5 then you have a vertical asymptote at x=-2.5.

If the top were 0, then you would have had a hole at x=-2.5.

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What set of numbers do the following belong out of -18 and 0

ella [17]

Answer:

9 , 2 , and 6 .

Step-by-step explanation:

6 0

4 years ago

Write a series of rigid motions that transform pentagon ABCDE to pentagon A′B′C′D′E′

worty [1.4K]

Answer:

We need the following three rigid motions:

i) Reflection around y-axis, ii) Translation three units in the -y direction, iii) Translation four units in the -x direction.

Step-by-step explanation:

We need to perform three operations on pentagon ABCDE to create pentagon A'B'C'D'E':

i) Reflection around y-axis:

$(x',y') = (-x,y)$ (Eq. 1)

ii) Translation three units in the -y direction:

$(x'',y'') = (x', y'-3)$ (Eq. 2)

iii) Translation four units in the -x direction:

$(x''',y''') = (x''-4, y'')$ (Eq. 3)

We proceed to proof the effectiveness of operations defined above by testing point D:

1) $D(x,y) = (-1, 4)$ Given.

2) $(x',y') = (1,4)$ By (Eq. 1)

3) $(x'',y'') = (1, 1)$ By (Eq. 2)

4) $D'(x,y) = (-3,1)$ By (Eq. 3)/Result

7 0

3 years ago

What’s the area of a rectangle measuring 13 inches times 12 inches ?

taurus [48]

Answer:

156 square inches

Step-by-step explanation:

We are given the two quantities

Let

length = l = 13 inches

and

Width = w = 12 inches

The formula for the area of rectangle is:

$Area=l*w$

where l is length and w is width

Putting the values of both that are given

$Area = 13*12\\=156$

so the area is 156 square inches ..

6 0

4 years ago

Which of the following is equal to the expression below? (160x243)^1/5

Kipish [7]

160 = 2 x 2 x 2 x 2 x 2 x 5 = 2^5 x 5
243 = 3 x 3 x 3 x 3 x 3 = 3^5
So
(160 * 243)^1/5
= 5th root of (160 * 243)
= 5th root of (2^5 * 5 * 3^5)
= 2 * 3 * (5th root of 5)
= 6 * (5th root of 5)
Answer is D. 6 * (5th root of 5)

3 0

4 years ago

Why is substitution a higher level of thinking?

zhuklara [117]

Advocates replacing foreign imports with domestic production. It is based on the premise that a country should attempt to reduce its foreign dependency through the local production of industrialized products. The term primarily refers to 20th-century development economics policies, although it has been advocated since the 18th century by economists such as Fredrick List and Alexander Hamilton.

5 0

3 years ago