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Katen [24]
3 years ago
12

Select ALL the correct answers.

Mathematics
1 answer:
stiv31 [10]3 years ago
4 0

Answer:

Statements 3, 4 and 5 are true.

Step-by-step explanation:

x^2 - 8x + 4

Using the quadratic formula:

x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2

= (8 +/- √(64 - 16)) / 2

= 4 +/- √48 / 2

= 4 +/- 4√3/2

= 4 +/- 2√3.

So the third statement is true.

Converting to vertex form:

x^2 - 8x + 4

= (x - 4)^2 - 16 + 4

= (x - 4)^2 -12

So the extreme value is at (4, -12)

So the fourth statement is true.

The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.

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What does n equal? I thought it was 3 but I am not sure. 4n+2=7n
Nookie1986 [14]

Answer:

n = \frac{2}{3}  

I hope this helps!

3 0
3 years ago
Which of the following expressions is 0.00012 written in scientific notation? A. 0.12 × 10^-3 B. 1.2 × 10^-4 C. 12 × 10^-5 D. 1.
In-s [12.5K]

Answer:

B. 1.2 x 10^{-4}

Step-by-step explanation:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.  Or, in this case it's the opposite since we have a negative number. Since it's a decimal it's multiplied by 10 still but the exponent is negative. All we need to do to find what the exponent would be in this case is to count the number of zeros before the "12." There are 4 zeros before the 12. So your exponent would be -4. Now all we need to do is write out "equation" per say.

1.2 x 10^-4

<u>Hope this helps and have a nice day!</u>

5 0
2 years ago
Read 2 more answers
The type of transformation PQRS undergoes is a . If vertex Q is at (-4, -5), then vertex Q′ is at ?
MissTica

Answer:

(-4, -5) it gives the answer in the question

Step-by-step explanation:

8 0
3 years ago
Randy wants to use the Distributive Property to rewrite 56-21. Which expression could he use?
stiks02 [169]
B is your answer.
Because 7 times 8 is 56 and 7 times 3 is 21.
4 0
3 years ago
Read 2 more answers
What is the exact value of the expression the square root of 486. − the square root of 24. + the square root of 6.? Simplify if
kenny6666 [7]
Sqrt(486) - sqrt(24) + sqrt(6)

find the factors of 486 that we can remove from under the square root sign
 2 * 243
 2 * 3 * 81
 2 * 3 * 9 * 9 (we have 2 nines, we can move a 9 outside the sqrt sign)
sqrt(486) = 9 sqrt(6)

Repeating for sqrt(24)
2 * 12
2 * 2 * 6
2 * 2 * 2 * 3 (we can move a 2 outside the sqrt
sqrt(24) = 2 sqrt(6)

Finally, add all 3 terms together

9 sqrt(6) - 2 sqrt(6) + sqrt(6)
8 sqrt(6)

8 times square root of 6 is the final answer
8 0
3 years ago
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