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2 years ago

Factorise x squared - 12x + 36

Mathematics

1 answer:

slava [35]2 years ago

3 0

Answer:

(x-6)(x-6) or (x-6)^2

Step-by-step explanation:

x^2-12x+36=(x-6)(x-6)

Just find two numbers that when they multiply, you get the third term,

which is 36 in this case. And when they add up, you get the second term,

which is -12 in this case. You can also check the answer by multiplying.

(x-6)(x-6)=x^2-6x-6x+36=x^2-12x+36

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Solve x^2 +14x = -24 by completing the square. Which is the solution set of the equation?

Korolek [52]

Start with x^2 +14x = -24,

Find HALF the value of 14: 7
Square this: 49
Add 49, and then subtract 49: x^2 + 14x + 49 - 49 = -24 We have a
perfect square
Rewrite the quadratic as the sq. of a binomial: trinomial on
the left
(x+7)^2 = 25

Take the sqrt of both sides: x+7 = plus or minus 5

Then x = -2 and x = -12

3 0

2 years ago

CHCK Farms raises hens and roosters. They have enough space to raise at most 300 birds per year. Each hen eats 80 pounds of food

svp [43]

Answer:

The number of hens is 100 and the number of roosters is 200.

Step-by-step explanation:

Let the number of hens be x and the number of roosters be y

then the total number of hens and roosters, is 300

so,

$x+y \leq 300$ ----------------------------(1)

Also the hen eats 80 pounds of food per year and roosters eats 60 pounds of food per year,

$80x+60y \leq 20000$ ----------------(2)

To solve the equations , multilpy eq(1) by 80

$80x+80y \leq 24000$ ------------------(3)

Subracting (2) from (3)

$20y \leq 4000$

$y \leq 200$

substituting y in eq(1) we get

$x+200 \leq 300$

$x \leq 300-200$

$x \leq 100$

7 0

3 years ago

25 POINTS FOR FIRST ANSWER!!

oee [108]

1. the 24 students in Anne's class.
2. 1 of the 24 students is chosen at random.
3. 1/24 or 0.04166666666...
4. Unlikely, due to her small, but present, chances of 1/24.

7 0

2 years ago

Read 2 more answers

My couch potato friend enjoys sitting in front of the TV and grabbing handfuls of 6 chocolates at random from his snack jar. Unb

Nikolay [14]

Answer:

There are 8008 possible outcomes are there the first time he grabs 6 chocolates

Step-by-step explanation:

The order in which the chocolates are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.