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3 years ago

Write a function with the following characteristics?

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

9514 1404 393

Answer:

the marked answer (A) is correct

Step-by-step explanation:

The domain restrictions by themselves tell you the denominator of the rational function is ...

(x -3)(x +3) = x² -9 . . . . . matches only choice A

These domain restrictions will give vertical asymptotes at x=±3 if there is no cancelling zero in the numerator.

The horizontal asymptote at y=2 tells you the ratio of leading terms of the numerator and denominator polynomials must be 2. This requirement is also matched by choice A.

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What is the vertex of function f(x)=(x-3)(x+5)?

butalik [34]

Answer:

( − 1 , − 16 )

Step-by-step explanation:

6 0

3 years ago

Two possible solutions of √11-2x=√x^2+4x+4 are –7 and 1. Which statement is true? A) Only x = –7 is an extraneous solution.

11111nata11111 [884]

Answer:

Option D)Neither solution is extraneous.

Step-by-step explanation:

we have

$\sqrt{11-2x}=\sqrt{x^{2}+4x+4}$

we know that

two possible solutions are x=-7 and x=1

Verify each solution

Substitute each value of x in the expression above and interpret the results

1) For x=-7

$\sqrt{11-2(-7)}=\sqrt{-7^{2}+4(-7)+4}$

$\sqrt{25}=\sqrt{25}$

$5=5$ ----> is true

therefore

x=-7 is not a an extraneous solution

2) For x=1

$\sqrt{11-2(1)}=\sqrt{1^{2}+4(1)+4}$

$\sqrt{9}=\sqrt{9}$

$3=3$ ----> is true

therefore

x=1 is not a an extraneous solution

therefore

Neither solution is extraneous

7 0

3 years ago

Read 2 more answers

Which statement is true about this argument?

gayaneshka [121]

The argument is valid by the law of detachment.

3 0

4 years ago

Read 2 more answers

Can someone pleaseeeeeeeeeeeeeee help me with these questions? Thanks.

tresset_1 [31]

the answer for y would be 7

Step-by-step explanation:

don't forget to mark brainliest

8 0

3 years ago

Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl

oee [108]

Answer:

b. $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after 8 years will be $16,287.57. In that time, she will have deposited ...

$300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

$16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

Account value calculation

The future value of the initial $300 deposit after 8 years is ...

A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

$364.89 +15,922.68 = $16,287.57

_____

Comment on account value

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

7 0

3 years ago