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bearhunter [10]
3 years ago
6

Please help with factoring these x²-11x+18

Mathematics
2 answers:
xxTIMURxx [149]3 years ago
8 0
X2-11x+18

Write - 11x as a difference:
x2- 2x - 9x + 18

Factor out x from the expression:
X x (x - 2) - 9x + 18

Factor out x - 2 from the expression and that would give you your answer:
(x - 2) x (x - 9)
lozanna [386]3 years ago
6 0

We want to factor x²-11x+18

In order to factor it, we must find two numbers that add to -11 and multiply to 18.

We will go through the list of factors of 18:

1, 2, 3, 6, 9, 18

We see that 9 and 2 multiply to 18. But we want two numbers that add to -11, so we will simply put a negative sign in front of 9 and 2.

-9 and -2 still multiply to 18 and they add to -11, so now we can factor the expression:

x²-11x+18 = (x-2)(x-9)

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Vlad1618 [11]
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3 years ago
What is the minimum or maximum value of the equation of this equation?<br> f(x) = -(x-8)^2 -30​
Snezhnost [94]

9514 1404 393

Answer:

  f(8) = -30 is the maximum

Step-by-step explanation:

The equation is that of a parabola in vertex form:

  y = a(x -h)^2 +k . . . . . . . . (h, k) is the vertex; 'a' is the scale factor

Comparing this form to the given equation, we have ...

  f(x) = -(x -8)^2 -30

  • a = -1
  • h = 8
  • k = -30

That is, the scale factor is -1, and the vertex is (8, -30).

When the scale factor is negative, the graph opens downward and the vertex is a maximum. The maximum value is -30.

8 0
3 years ago
how many liters of 40% oil dressing should be mixed with 4 liters of a dressing that is 25% oil to get a dressing that is 30% oi
Ronch [10]
Volume of first oil = A, volume of second oil = B, volume of mixture = M
A = ?, B = 4l, M = A + B

40%A + 25%B = 30%M
40%A + 25%4l = 30%(A+4l)
<span>40%A + 25%4l = 30%A + 30%4l
40A + 100l = 30A + 120l
40A - 30 A = 120l - 100l
10A = 20l
A = 2l
</span>
Answer: 2 litres of 40% oil dressing.

Also note: That's an approximation, because the volumes are not strictly additive. For example: mixing 50ml pure ethanol with 50ml water will give you about 95ml of mixture. To get an accurate answer, you'd have to measure the volume of the final mixture and then divide your total oil content by that<span>.</span>
4 0
3 years ago
Suppose LMN=PQR<br> Which congruency statements are true
zysi [14]

A, D, E and F are all true statements.



When looking for congruence in these type of problems, you have to look for the order of the letters in the original listing. Since they are listed LMN and PQR, this means we have to focus on the placement of those letters. Since L is the first listed in the sequence, it is congruent with P, which is also listed first. M is congruent with Q since they are both in the middle, and N and R are congruent since they are both at the end.



Now to find true statements, you need to make sure everything matches up in the statement.



Let's take A for instance. It states that MN = QR. Now we know M is in the middle and N is at the end. Since Q is in the middle and R is at the end, they match and are therefore true.


6 0
3 years ago
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