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Luba_88 [7]
3 years ago
12

Write y=2(x + 6)(x + 3) in standard form

Mathematics
1 answer:
Volgvan3 years ago
6 0

Answer:

y = 2x² + 18x + 36

Step-by-step explanation:

Given

y = 2(x + 6)(x + 3) ← expand the factors using FOIL

y = 2(x² + 9x + 18) ← distribute parenthesis by 2

  = 2x² + 18x + 36 ← in standard form

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An article reported that for a sample of 58 kitchens with gas cooking appliances monitored during a one-week period, the sample
Pavel [41]

Answer:

95% Confidence Interval = (611.81 ppm, 696.51 ppm)

Step-by-step explanation:

The formula for Confidence Interval is given as:

Confidence Interval = Mean ± z × s /√n

Mean = the sample mean/average = 654.16

s = the sample standard deviation = 164.55

z = z score of 95% confidence interval = 1.96

Confidence Interval =

654.16 ± 1.96 × 164.55/√58

= 654.16 ± 42.348

Hence,

654.16 - 42.348

= 611.812

Approximately to two decimal places = 611.81 ppm

654.16 + 42.348

= 696.508

Approximately to two decimal places = 696.51 ppm

Therefore, the 95% (two-sided) confidence interval for true average CO2 level in the population of all homes from which the sample was selected is (611.81 ppm, 696.51 ppm).

7 0
3 years ago
A florist os making flower arrangements for a party. He uses purple and white flowers in ratio of 3 purple flowers to 1 white fl
Ad libitum [116K]

Answer:

120

Step-by-step explanation:

3*30=90

1*30=30

90+30=120

5 0
3 years ago
Is 8/5 proportional to 24/15 ?
DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

\frac{8}{5} and \frac{24}{15}

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

8*15=24*5

Let's solve it and see if it is true:

8*15=24*5

120=120

Therefore, they <em>are </em>proportional.

<u>Cross products</u>

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

ALGEBRAIC DEFINITION:

Given two fractions, \frac{a}{b} and \frac{c}{d}, a*d <em>should </em>equal to b*c

Hope it helps, and have a terrificly amazing day!

3 0
3 years ago
What is 1.5 to the third power?
Viefleur [7K]
Just like you would if you had a normal number so times 1.5 times 3
7 0
4 years ago
Convert 1111+102 into quinary number​
Kipish [7]

Answer:

13421+402

Step-by-step explanation:

5 0
3 years ago
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