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Nata [24]
3 years ago
5

Urgent help! This is very important please help me fast! How do you do: Expand & simplify:(x 4)(x 2)

Mathematics
1 answer:
ahrayia [7]3 years ago
4 0
So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)
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The results of a survey of 43 students and the foreign language they are studying are shown in the two-way frequency table.
babunello [35]
Since 5 out of 43 people take chinese, it's 5/43 which is the same as 0.116 which means 11,6%

I hope this was helpful! Tell me if it's unclear!
4 0
3 years ago
On a lunch counter, there are 3 oranges, 5 apples, and 2 bananas. If 3 pieces of fruit are selected, find the probability that 1
muminat

Answer:

Probability = \frac{1}{24}

Step-by-step explanation:

Given

Oranges = 3

Apples = 5

Banana = 2

Total = 10

Required

Determine the probability of 1 orange, 1 apple and 1 banana

Since, order is not important:

Probability = P(Orange) * P(Apple) * P(Banana)

Probability = \frac{3}{10} * \frac{5}{9} * \frac{2}{8}

<em>The difference in the numerator is as a result of picking the fruit without replacement</em>

Probability = \frac{30}{720}

Probability = \frac{1}{24}

6 0
3 years ago
Please answer this question now
Rashid [163]

Answer:

54

Step-by-step explanation:

To solve problems like this, always recall the "Two-Tangent theorem", which states that two tangents of a circle are congruent if they meet at an external point outside the circle.

The perimeter of the given triangle = IK + KM + MI

IK = IJ + JK = 13

KM = KL + LM = ?

MI = MN + NI ?

Let's find the length of each tangents.

NI = IJ = 5 (tangents from external point I)

JK = IK - IJ = 13 - 5 = 8

JK = KL = 8 (Tangents from external point K)

LM = MN = 14 (Tangents from external point M)

Thus,

IK = IJ + JK = 5 + 8 = 13

KM = KL + LM = 8 + 14 = 22

MI = MN + NI = 14 + 5 = 19

Perimeter = IK + KM + MI = 13 + 22 + 19 = 54

4 0
3 years ago
Issac tosses a quarter off of a bridge, creating the shape of a parabola. The parabola can be represented by the equation h=-16t
andreyandreev [35.5K]

Answer:

Step-by-step explanation:

a) the equation representing the parabola is expressed as

h = -16t² - 4t + 20

c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes

h = -16(25)² - 4(25) + 20

h = - 10000 - 100 + 20

h = - 10080

d) when the coin lands on the ground, the height would be 0. Therefore,

-16t² - 4t + 20 = 0

Dividing both sides of the equation by 4, it becomes

- 4t² - t + 5 = 0

- 4t² - 5t + 4t + 5 = 0

- t(4t + 5) + 1(4t + 5) = 0

- t + 1 = 0 or 4t + 5 = 0

t = 1 or t = - 5/4

Since t cannot be negative, then t = 1 second

4 0
3 years ago
Convert 2.4 kg into cg. Please show your work.
strojnjashka [21]
The solution to the problem is as follows:

kilo -> 1000 
<span>centi -> 100
 </span>

<span>2.4 x 1000 g = 24 x 100 g. </span>

<span>So, on the left we have 2.4 kg, and on the right we have 24 cg
</span>
I hope my solutions has come to your help. Thank you and have a nice day ahead!
7 0
3 years ago
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