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Salsk061 [2.6K]
3 years ago
14

If f(x) = (x^2-36)/(x+6) is continuous at x = -6, find f(-6) a)-12 b)12 c)6 d)-6

Mathematics
2 answers:
NeTakaya3 years ago
7 0

Answer:

A

Step-by-step explanation:

f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12

Therefore, the correct answer is choice A. Hope this helps!

My name is Ann [436]3 years ago
4 0

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

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4 0
3 years ago
Allison is offered an annual salary of $24,500. What would be her biweekly gross pay? (Round to the nearest cent.) A. $2,041.67
bixtya [17]

Answer:

Option (B) is correct.

Allison biweekly gross pay is $942.31

Step-by-step explanation:

Given annual salary offered to Allison  = $24,500.

We have to calculate Allison biweekly pay that is pay Allison got for 2 weeks

To calculate biweekly we first find Allison weekly pay then multiply it by 2.

We know there are 52 weeks in a year.

So, weekly salary offered to Allison =\frac{24500}{52}=471.15(approx)

Biweekly salary will be = 2 × weekly salary

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Thus, Allison biweekly gross pay is $942.31




6 0
4 years ago
Read 2 more answers
A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza
Dafna11 [192]
Let's begin by assigning a letter to represent our unknown:    x = # of toppings to be added to each pizza Now let's come up with expressions for the cost of each pizza with its toppings:    Palanxio's Pizza:  6.80 + 0.90x    Guido's Pizza:  7.30 + 0.65x Now let's equate the costs of both pizzas and solve for our unknown (x):    6.80 + 0.90x = 7.30 + 0.65x    0.90x - 0.65x = 7.30 - 6.80    0.25x = 0.50    x = 0.50/0.25    x = 2 toppings to be added to each pizza Finally, we can verify our answer by plugging it back into our equation and see if both costs are the same:    6.80 + 0.90x = 7.30 + 0.65x       [equation]    6.80 + 0.90(2) = 7.30 + 0.65(2)  [answer plug-in]    6.80 + 1.80 = 7.30 + 1.30    $8.60 = $8.60  [both costs are the same] Since both costs are the same, we are confident that our answer is correct.
8 0
3 years ago
Similar<br> Not Similar<br> Please please help
Gwar [14]

Answer:

kind of

Step-by-step explanation:

their simalar because their right triangles but differnt because of size

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3 years ago
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