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3 years ago

Plzzz help i will give brainliest if i can

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

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Find all integers n for which n^2+6n-27 is a prime number? Please tell me how you did it.

taurus [48]

$n^2+6n-27=\\
n^2-3n+9n-27=\\
n(n-3)+9(n-3)=\\
(n+9)(n-3)$
For the above product to be a prime number, one of the factors must be a prime number and the other must be equal to 1.

$n+9=1\\
n=-8\\\\
-8-3=-11$
The first factor is equal 1 for $n=-8$ , but the other is euqal -11, which is not a prime number.

$n-3=1\\
n=4\\\\
4+9=13$
The second factor is equal 1 for $n=4$ and the first factor is equal 13, which is a prime number.

So, $n^2+6n-27$ is a prime number for $n=4$

5 0

3 years ago

What are the solutions of x² + 6x - 6 = 10?

Likurg_2 [28]

Answer: x=- 8 or x=2

Step-by-step explanation:

1. To solve this problem you can applly the quadratic formula, which is shown below:

$x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}$

2. The quadratic equation is:

$x^{2}+6x-6-10=0\\x^{2}+6x-16=0$

3. Then:

a=1

b=6

c=-16

4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:

$x=\frac{6+/-\sqrt{6^{2}-4(1)(-16)}}{2(1)}$

$x_1=-8\\x_2=2$

4 0

3 years ago

Read 2 more answers

A farmer has 96 apples to sell at the farmers market. She wants to bag the apples before going. How many ways can the farmer bag

Tcecarenko [31]

Answer and explanation:

Farmer's number of apples = 96 apples

Given that Farmer needs to bag the apples so that there are at least 4 apples in each bag(not less than 4 apples in each bag) and not more than 10 apples in each bag

And also all apples in each bag are equal

We need to find the numbers between 4 and 10(including 4 and 10) that can divide 96 without a remainder

4 can divide 96= 24

5 cannot divide 96 without remainder

6 can divide 96 =16

7 cannot divide 96 without remainder

8 can divide 96=12

9 cannot divide 96 without remainder

10 cannot divide 96 without remainder

From the above we see that the factors of 96 = 4, 6, 8 between 4 and 10

4 apples = 24 bags

6 apples = 16 bags