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Anettt [7]
3 years ago
9

Describe the behavior of the function h around its vertical asymptote at x=-6.

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

Answer:

B

Step-by-step explanation:

One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .

When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.

Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B

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(y - 2)2 = y2 – 6y + 4<br> Is this statement true or false?
trasher [3.6K]
<h3>Answer: False</h3>

==============================================

Explanation:

I'm assuming you meant to type out

(y-2)^2 = y^2-6y+4

This equation is not true for all real numbers because the left hand side expands out like so

(y-2)^2

(y-2)(y-2)

x(y-2) .... let x = y-2

xy-2x

y(x)-2(x)

y(y-2)-2(y-2) ... replace x with y-2

y^2-2y-2y+4

y^2-4y+4

So if the claim was (y-2)^2 = y^2-4y+4, then the claim would be true. However, the right hand side we're given doesn't match up with y^2-4y+4

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

Another approach is to pick some y value such as y = 2 to find that

(y-2)^2 = y^2-6y+4

(2-2)^2 = 2^2 - 6(2) + 4 .... plug in y = 2

0^2 = 2^2 - 6(2) + 4

0 = 4 - 6(2) + 4

0 = 4 - 12 + 4

0 = -4

We get a false statement. This is one counterexample showing the given equation is not true for all values of y.

6 0
2 years ago
Read 2 more answers
the elephants at the norfolk zoo are fed 1/2 a barrel of corn each day. the buffalo are fed 7/10 as much corn as the elephants.
maksim [4K]

7/20 barrels of corn are the buffalo fed each day.

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

  • Aloud to yourself, read the issue.
  • Make a Drawing.
  • Ask yourself, "What am I looking for?"
  • List the items that have been provided.
  • Locate the key phrases.
  • Solve.
  • Verify your work.

Here are some actions to take:

  1. Recognize the issue, including all the terminology used to describe it. Recognize what you need to look for, Recognize the issue's context.
  2. Convert the issue into an equation. Give the unknown a variable (or variables) to symbolize, Indicate exactly what the variable stands for.
  3. Put the strategy into action and find a solution.

Given:

Elephants at the Norfolk zoo are fed = 1/2

Buffalo are fed 7/10 as much corn as the elephants = 7/10 * Elephants fed

= 7/10 * 1/2

= 7/20

Hence, 7/20 barrels of corn are the buffalo fed each day.

To know more about word problems check the below link:

brainly.com/question/13818690

#SPJ4

4 0
1 year ago
How many terms in the algebraic expression 5x4+6x3-2x+7
Tju [1.3M]

Answer:

4 Terms.

Step-by-step explanation:

5x4

6x3

-2x

7 are all of the terms in the expression.

6 0
3 years ago
Read 2 more answers
X - y³ <br> x= -7 and y=3
sergey [27]
The answer is -34 cause if x is -7 and y is 3 then you know you switch em out and do the thing and get the answer.
7 0
3 years ago
A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the
sammy [17]
19. The balloon hits the ground means -16t2+25t+3=0
After you solve the equation, there are 2 solution ~1.67 or ~-0.11 (the time can not be negative) so the solution is 1.67s
20.substitute t=1 to the function -16(1)2+25(1)+3=-16+25+3=12 ft. So the height is 12ft when t=1
7 0
3 years ago
Read 2 more answers
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