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saveliy_v [14]
1 year ago
9

Solve the quadratic equation by completing the square. x²+18x+79=0

Mathematics
1 answer:
pogonyaev1 year ago
8 0

x^2 + 18x=-79 \\ \\ x^2 + 18x+81=2 \\ \\ \boxed{(x+9)^2=2} \\ \\ x+9=\pm \sqrt 2 \\ \\ x=-9 \pm \sqrt{2} \\ \\ \boxed{x=-9+\sqrt{2}, -9-\sqrt{2}}

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Which ordered pairs lie on the graph of the exponential function f(x)=−3^(x−1) +2 Select each correct answer.
katrin [286]
<h3>Answer:</h3>

(1, 1), (4, -25)

<h3>Step-by-step explanation:</h3>

You can evaluate the function to see.

f(-1) = -3^(-1-1)+2 = -3^(-2)+2 = -1/9 +2 ≠ 2

f(1) = -3^(1-1) +2 = -1 +2 = 1

f(0) = -3^(0-1) +2 = -1/3 +2 ≠ 0

f(4) = -3^(4 -1) +2 = -27 +2 = -25

_____

Or, you can graph the points and the curve.

8 0
3 years ago
Carlos is using a number line to add another integer to –4. He begins by showing –4 on the number line, as shown below. Carlos a
Serhud [2]
<span>I had the same question on my quiz
The answer is that The number could be 3 or any integer less than 3.</span>
7 0
3 years ago
Read 2 more answers
Three coins are tossed in the air, one at a time. What is the probability that the third coin will be heads?
marishachu [46]

Answer:

1/2

Step-by-step explanation:

We only care about the third coin

we could get heads or tails on the third flip

P (third coin will be heads) = outcome heads / total

                                            =1/2

8 0
2 years ago
Read 2 more answers
A restaurant offers a​ $12 dinner special that has 77 choices for an​ appetizer, 1010 choices for an​ entrée, and 44 choices for
krok68 [10]
<span>280 I'm assuming that this question is badly formatted and that the actual number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts. So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre, so the number of possible meals to this point is n = 7 * 10 = 70 Finally, you finish off with a dessert, so the number of meals is: n = 70 * 4 = 280 Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is n = 77 * 1010 * 44 = 3421880 But I believe that it's highly unlikely that the numbers in this problem are correct. Just imagine the amount of time it would take for someone to read a menu with over a thousand entres in it. And working in that kitchen would be an absolute nightmare.</span>
5 0
2 years ago
What’s the circumference, to this problem ?
Dafna11 [192]

Answer:

The formula to get the circumference of a circle is C=2*\pi * r but in this case we see that a diameter is being used therefore we can get rid of the 2 and the r because that is what the diameter and just replace d into there like this C=d*\pi.

We can then input the value and we get that C=1*\pi which then just narrows down to C=3.142.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

7 0
2 years ago
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