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marissa [1.9K]
3 years ago
5

How do you simplify this and write as a polynomial in standar form? (x-9)3x-7)+(3x^2-5x+2)​

Mathematics
1 answer:
nasty-shy [4]3 years ago
6 0

Answer:

Standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

Step-by-step explanation:

Here, the given expression is (x-9)(3x-7) + (3x^{2} - 5x+2)

Now, simplifying the above expression in parts, we get

(x-9)(3x-7) = 3x^{2}  - 7x -27x + 63 = 3x^{2}  - 34x + 63

hence, combining both parts:

(x-9)(3x-7) + (3x^{2} - 5x+2)=(3x^{2}   -34x +63) + (3x^{2} - 5x+2)

= 6x^{2}  - 39x + 65

The above expression is of the STANDARD FORM: ax^{2}  +bx + c

Hence, the standard form of (x-9)(3x-7) + (3x^{2} - 5x+2) =6x^{2}  - 39x + 65

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Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

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3 years ago
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Melissa collected data from a group of people regarding whether or not they prefer turkey or ham and whether or not they prefer
dedylja [7]

Answer:

I’m pretty sure it’s B)- Z

Step-by-step explanation:

18. The correct table must display the following information.

38% prefer turkey with mayonnaise 20% prefer turkey with mustard 24% prefer ham with mayonnaise 18% prefer ham with mustard

In tables Z and W, each table totals 50 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 50.

In tables X and Y, each table totals 100 people.

To find the relative frequencies of the data in these tables, divide each number in the table by 100.

The only table which is a possible representation of the data collected is table Z.

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Does Not Like Baseball

Total

Likes Football Does Not Total Like Football

0.50 0.64 0.54

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Total

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19 ÷ 50 = 0.38

10 ÷ 50 = 0.20

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12 ÷ 50 = 0.24

9 ÷ 50 = 0.18

21 ÷ 50 = 0.42

Total

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50 ÷ 50 =1.00

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3 years ago
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Answer:

0.51 liters in the glass

Step-by-step explanation:

Given

Litres = 1.7L

Pour= \frac{3}{10}th

Required

Determine how many liters in the glass

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So, we have:

Poured = \frac{3}{10} * 1.7

Poured = \frac{3* 1.7}{10}

Poured = \frac{5.1}{10}

Poured = 0.51

<em>There will be 0.51 liters in the glass</em>

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He should order 2 pallets (total 1951)
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