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mel-nik [20]
3 years ago
12

What is the factorization of the following trinomial? 15x2 - 44x - 36

Mathematics
1 answer:
BartSMP [9]3 years ago
7 0
15x^2-44x-36

=(15x^2+10x)+(-54x-36)

factor out  5x from 15x^2+10x  = 5x(3x+2)

Factor out -18 from -54x-36 =  -18(3x+2)

=5x(3x+2)-18(3x+2)

Factor out common term (3x+2)

= (3x+2)(5x-18)

hope this helps!
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2 years ago
Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti
Usimov [2.4K]

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

Number of tests n = 5

Average A = 90

Substituting into equation 1

90 = T/5

T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

88+84+88+91 = 351

Let x represent the first score,

351 + x = 450

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The minimum score she can get in the fifth test is 99 points

5 0
3 years ago
18 Andy flies from the UK to Japan.
kotykmax [81]

Answer:

<u>Leila pays more</u> than Andy to fly from the UK to Australia.

Step-by-step explanation:

Given:

Andy flies from the UK to Japan.

His plane ticket costs £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

Leila flies from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

<u>Now, to find Andy or Leila who pays more to fly from the UK to Australia.</u>

Andy flies from the UK to Japan.

His plane ticket costs = £554.

Andy then flies from Japan to Australia.

His plane ticket costs 70 140 Japanese Yen.

The exchange rate is £1 = 140 Japanese Yen.

So, by using conversion factor we convert Japanese Yen to £.

140 = £1

70140 = 70140\div 140=\£501.

His plane ticket costs = £501.

Now, adding both the cost of tickets:

501+554=\£1055.

Andy total pays fly from the UK to Australia is £1055.

Now, to get the cost of plane ticket of Leila from the UK to Australia.

Her plane ticket costs 1860 Australian dollars.

The exchange rate is 1 Australian dollar = £0.62.

So, by using conversion factor:

1 Australian dollar = £0.62

1860 Australian dollar = 1860\times 0.62=\£1153.2

Her plane ticket costs is £1153.2.

<u><em>As, we see that cost of plane ticket of Andy is £1055 and cost of plane ticket of Leila is £1153.2.</em></u>

<em>Thus, Leila pays more.</em>

Therefore, Leila pays more than Andy to fly from the UK to Australia.

4 0
3 years ago
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