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Gennadij [26K]
2 years ago
12

What are the vertex and axis of symmetry of the parabola y = x2 + 10x + 30?

Mathematics
1 answer:
slamgirl [31]2 years ago
6 0

Answer:

x=−5

y=x2+10x+25

Step-by-step explanation:

Because the line of symmetry passes through the vertex, the equation of the line is x=−5.

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The greatest factor that two or more numbers have in common is the
trapecia [35]

Answer:

 "greatest common factor" (GCF) or "greatest common divisor" (GCD)

Step-by-step explanation:

Apparently, you're looking for the term that has the given definition. It is called the GCF or GCD, the "greatest common factor" or the "greatest common divisor."

_____

The GCF or GCD can be found a couple of ways. One way is to find the prime factors of the numbers involved, then identify the lowest power of each of the unique prime factors that are common to all numbers. The product of those numbers is the GCF.

<u>Example</u>:

  GCF(6, 9)

can be found from the prime factors:

  • 6 = 2·3
  • 9 = 3²

The unique factors are 2 and 3. Only the factor 3 is common to both numbers, and its lowest power is 1. Thus ...

  GCF(6, 9) = 3¹ = 3

__

Another way to find the GCD is to use Euclid's Algorithm. At each step of the algorithm, the largest number modulo the smallest number is found. If that is not zero, the largest number is replaced by the result, and the process repeated. If the result is zero, the smallest number is the GCD.

  GCD(6, 9) = 9 mod 6 = 3 . . . . . (6 mod 3 = 0, so 3 is the GCD)

8 0
3 years ago
What is the 50th term of the sequence that begins -4, 2, 8, 14....?
vagabundo [1.1K]

Answer:

a_{50}=290

Step-by-step explanation:

Notice that we are in the presence of an arithmetic sequence (there is a common difference of 6 between a term and the next). So thisis an arithmetic sequence with first term a_1=-4. and common difference "<em>d</em>" = 6.

Recall now the formula for the nth term (a_n) of an arithmetic sequence:

a_n=a_1+(n-1)\,d

Then, using our values in the formula, we get:

a_n=a_1+(n-1)\,d\\a_{50}=-4+(50-1)\,6\\a_{50}=-4+(49)\,6\\a_{50}=290

7 0
3 years ago
HELP!!!! PLEASEEEE!!!! Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production b
oksian1 [2.3K]
First, calculate 18% of 23.
23 x 0.18 = 4.14
Then, add this value (the increase) to the original value of 23.
23 + 4.14 = 27.14
Rounding off, we get 27.
6 0
3 years ago
Read 2 more answers
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Licemer1 [7]

Answer:

6 and 28

Step-by-step explanation:

Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.

Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.

7 0
2 years ago
Read 2 more answers
Can someone please help me it’s due in a few minutes.
g100num [7]

Answer:

150

Step-by-step explanation:

go submit it

5 0
3 years ago
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