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diamong [38]
3 years ago
9

Simplify the expression 5(x − 3)(x2 + 4x + 1).

Mathematics
2 answers:
Gekata [30.6K]3 years ago
6 0

Answer:

5x3+5x2−55x−15

Step-by-step explanation:

5(x−3)(x2+4x+1)

=(5(x−3))(x2+4x+1)

=(5(x−3))(x2)+(5(x−3))(4x)+(5(x−3))(1)

=5x3−15x2+20x2−60x+5x−15

=5x3+5x2−55x−15

Vitek1552 [10]3 years ago
4 0

Answer:

5x³ + 5x² - 55x - 15

Step-by-step explanation:

simplify the expression:

5(x − 3)(x² + 4x + 1)

use the distributive property to multiply 5 by x-3

(5x - 15) (x² + 4x + 1)

Use the distributive property to multiply 5x−15 by x² +4x+1 and combine like terms

5x³ + 5x² - 55x - 15

================

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The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how
vichka [17]

Answer:

The number of bacteria after 8th will be 3840

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

A=A_0r^{n-1}

Where A is number of bacteria after n hours.

A_0 is bacteria present initially.

r is the common ration, in our problem it is given that bacteria doubles every hour. So, r=2

And n is the number of hours. In our problem we need amount of bacteria at the end of 8th hours. So, n=8

Plugging values in the formula we get,

A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840

So, number of bacteria after 8th will be 3840

3 0
3 years ago
In a café, I order a cup of tea and a piece of cake and it costs £1.10. The next time I order 2 cups of tea and one piece of cak
defon

Answer:

£0.50

Step-by-step explanation:

t = one cup of tea

c = one piece of cake

t + c = £1.10

2t + c = £1.70

the cost increases by £0.60 (£1.70 - £1.10) when you order one more cup of tea which means that one cup of tea costs £0.60

substitute £0.60 into t + c = £1.10

£0.60 + c = £1.10

rearrange to get c = £1.10 - £0.60 = £0.50

so one piece of cake costs £0.50

7 0
3 years ago
Read 2 more answers
Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of da
nekit [7.7K]

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

8 0
3 years ago
The graph below does not represent a function. Explain why.
Simora [160]

Notice how points T and Z are vertically aligned, or vertically lined up. This is where the graph fails the vertical line test.

The input x = 2 leads to the outputs y = 3 and y = 5 (which are the y coordinates of points Z and T in that order).

A function is only possible when any given input leads to <u>exactly one</u> output only. It would be like saying "the conversion function from Celsius to Fahrenheit has 0 degrees C convert to both 32 degrees F and 50 degrees F at the same time". But such a statement makes no sense and it's not useful. So this is one example of why having one output makes sense for a function.

In short, we need one output for any given input. But the input x = 2 leads to more than one output. That's why we don't have a function.

6 0
3 years ago
15.5 ft + 1.25 ft + 13.5 ft=
saw5 [17]
Adding all these numbers together, you should get 30.25 ft.
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3 years ago
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