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DochEvi [55]
2 years ago
5

What are the vertical asymptotes of the function f(x) =5x+5/x2 + x-2

Mathematics
1 answer:
katen-ka-za [31]2 years ago
5 0

let's recall that the vertical asymptotes for a rational expression occur when the denominator is at 0, so let's zero out this one and check.

\bf \cfrac{5x+5}{x^2+x-2}\qquad \stackrel{\textit{zeroing out the denominator}~\hfill }{x^2+x-2=0\implies (x+2)(x-1)=0}\implies \stackrel{\textit{vertical asymptotes}}{ \begin{cases} x=-2\\ x=1 \end{cases}}

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How much larger is 6 times 10 to the 5th power compared to 2 times 10 to the 3rd power
lora16 [44]

Answer:

Either <em><u>10 times</u></em> or <u><em>598,000.</em></u>

Step-by-step explanation:

6 x 10 ^ 5 = 600,000

2 x 10 ^ 3 = 2,000

If we are figuring out the exact number, 600,000 - 2,000.  If we are finding out how many powers larger, count.

600,000 - 2,000 = 598,000

600,000 is 10 times larger than 2,000.

See?

600,0<u>00</u>

2,000

6 0
2 years ago
Which two statements are missing in steps 3 and 4?
Snezhnost [94]

Answer:

∠B ≅ ∠Y △ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

1. AB=6 units

YZ=3 units

BC=8 units

XY=4 units, then

\dfrac{AB}{ZY}=\dfrac{BC}{YX}=2

2. \angle B and \angle Y are right angles - given

3.  \angle B\cong \angle Y two right angles are always congruent.

4. \triangle ABC\sim \triangle ZYX by SAS similarity theorem.

SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.

4 0
2 years ago
Read 2 more answers
Hey therapy was conducted to see how many people ride a bus to school every day. 160 people reported that they ride the bus to s
xeze [42]

Answer:

200 people

Step-by-step explanation:

Let: the number of people who surveyed be: x

Therefore, (160/x) x 100=80%

=> x=(160x100)/80

=>x=16000/80

=>x= 200

Thus, 200 people surveyed.

Mark as brainliest

4 0
3 years ago
Helphelphelphelphelp​
VashaNatasha [74]
<h3>5:16</h3>

The ratio is supposed to be pennies to total amount of coins. The total amount of coins--including pennies--is 16. This can be proven by this equation:

5 + 6 + 5 = 16

Now you put the ratio together by taking the amount of pennies (5) and total amount of coins (16). Your ratio should look like this:

5:16

Hope I helped you out! ❤❤

4 0
3 years ago
Select all of the situations that represent a linear relationship between x and y.
Harrizon [31]

Answer:

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is

Here, side is 'x' and area 'y' will be .

This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is a linear relation.

3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

When x = 1

When x = 2

=>

When y = 3

=>

This is also linear in nature.

Read more on Brainly.com - brainly.com/question/12747906#readmore

6 0
3 years ago
Read 2 more answers
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