Consider the function g (x) = StartFraction x squared + 7 x minus 18 Over x squared + 2 x minus 8 EndFraction. Which type of discontinuity does the function have at x = –4? jump mixed infinite removable

Answer:

A. x= 2.6y

Explanation

Answer:  I just took the test, and the answer is 'Assign each taxpayer in town a number and then randomly select 500 of these numbers.'

Step-by-step explanation: Happy Pride Month!!

Answer: (2,8)

Step-by-step explanation:

The origin is the point (0,0), so when you move two units right you land on the x-value of 2. From there you then add 8 units, putting you at the y-value of 8. Therefore, you end with the point (2,8) after this translation.

Answer:

-13 + 4

Step-by-step explanation:

For the sum to be negative, the absolute value of the negative integer has to be 9 more than the positive integer. There are an infinite number of equations, but here is one:

-13 + 4

Answer:

C) 4/5

Step-by-step explanation:

pi/4 = 0.7853981634

[tex]\frac{\sqrt{3} }{2}[/tex] = 0.8660254038

3/4 = 0.75. It's less than pi/4, so not correct

9/10 = 0.9. It's more than 0.866, so not correct

4/5 = 0.8. It's right for both condition

8/9 = 0.888. It's more than 0.866, so not correct.

Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Step-by-step explanation:

A property where sum of any number and its inverse is equal to zero is called additive inverse property.

For example, 11.5 + (-11.5) = 0

Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.

Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

Answer: 9000

Step-by-step explanation:

3500+5500=9000

5500=10years x 550/year

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers. The balance that the account will have after 10 years is $9,000.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved an additional $550 per year.

Therefore, the balance of the account after 10 years is,

Balance after 10 years = $3500 + $550(Number of years)

                                      = $3500 + $550(10)

                                      = $9,000

Hence, the balance that the account will have after 10 years is $9,000.

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Answer:

acute triangle

Step-by-step explanation

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Answer:

a. subtract 6 from both sides

Step-by-step explanation:

Given the algebraic expression;

-5c + 6 = 4

First of all, we would subtract 6 from both sides. This would eliminate the "6" on the left side.

-6 - 5c + 6 = 4 - 6

-5c = -2

5c = 2

Dividing both sides by 5, we have;

c = 2/5

Answer:

5.5

Step-by-step explanation:

5 + 6 =

11 / 2 =

5.5

Answer:

x=25.

Step-by-step explanation:

We know because of corresponding angles, the sum of the angle adjacent to (2x-5) and (2x-5) is 180 degrees

2x-5+5x+10=180

7x+5=180

7x=175

x=25

Answer:

"0.0373" seems to be the appropriate solution.

Step-by-step explanation:

The given values are:

n₁ = 43

n₂ = 35

[tex]\bar{x_1}=217800[/tex]

[tex]\bar{x_2}=204700[/tex]

[tex]\sigma_1=30300[/tex]

[tex]\sigma_2=33800[/tex]

Now,

The test statistic will be:

⇒  [tex]Z=\frac{\bar{x_1}-\bar{x_2}}\sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }[/tex]

On substituting the given values in the above formula, we get

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{(30300)^2}{43} +\frac{(33800)^2}{35} } }[/tex]

⇒      [tex]=\frac{217800-204400}{\sqrt{\frac{918090000}{43} +\frac{1142440000}{35} } }[/tex]

⇒      [tex]=\frac{13400}{7347.93}[/tex]

⇒      [tex]=1.7828[/tex]

then,

P-value will be:

=  [tex]P(Z>1.7828)[/tex]

=  [tex]0.0373[/tex]

Answer:A

Step-by-step explanation:

I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.

The original price of the dress was $125.00.

A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.

Given that the discount = 65%

Sale price = $43.75

Let the original price of the dress is $x.

Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100

We can write

35x/100 = 43.75

i.e. x = (43.75 * 100)/35 = 4375/35 = 125

Therefore, the original price of the dress was $125.00. So, option 1 is correct.

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Answer:

first blank is 3

second blank is 126

Step-by-step explanation:

the ratio is 2:3 so you must keep that the same in the table

The one for chocolates is 3 and the one for peppermints is 126

Answer:The zeros are 6, -5, 9

Step-by-step explanation:

The zeros of the polynomial function are x = 6, x = -5, and x = 9. The correct option is A.

In mathematics, a polynomial is an expression that solely uses the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables. It is made up of coefficients and indeterminates.

The zeros of the polynomial function are the values of x that make f(x) equal to zero.

The polynomial f(x) is written in factored form as:

f(x) = (x - 6)(x + 5)(x - 9)

The zeros of the polynomial are the values of x that make any of the factors equal to zero. Therefore, the zeros are:

x - 6 = 0, which gives x = 6

x + 5 = 0, which gives x = -5

x - 9 = 0, which gives x = 9

Thus, the zeros of the polynomial function are x = 6, x = -5, and x = 9.

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Answer:

140.608

Step-by-step explanation:

Answer: i think its e

Step-by-step explanation:......

Answer:

no.A 5/3÷×1/3 is the answer

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

Answer:2730

Step-by-step explanation:

The number of ways we can choose three different numbers in order for a unique code for this case is 2730

We can use combinations for this case,

Total number of distinguishable things is m.

Out of those m things, k things are to be chosen such that their order doesn't matter.

This can be done in total of [tex]^mC_k = \dfrac{m!}{k! \times (m-k)!}[/tex] ways.

If the order matters, then each of those choice of k distinct items would be permuted k! times.

So, total number of choices in that case would be:

[tex]^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}[/tex]

This is called permutation of k items chosen out of m items (all distinct).

Given that:

In a lock, the order of the way numbers are arranged matters.

Because of no repetition allowed, we can simulate this situation as:

The number of ways we can choose 3 numbers out of 15 numbers with order = The number of different ways we can choose three different numbers in order for a unique code.

And we have:

The number of ways we can choose 3 numbers out of 15 numbers with order = [tex]^{15}P_3 = \dfrac{15!}{(15-3)!} = \dfrac{15 \times 14 \times 13 \times 12!}{12!} = 2730[/tex]

Thus, the number of ways we can choose three different numbers in order for a unique code for this case is 2730

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Answer:

The answer is the choose: (D)

[tex] {3}^{ - 5} = \frac{1}{ {3}^{5} } [/tex]