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Grace [21]
3 years ago
12

(4x-3)(2x^2-7x+1) what is the product of this please help!

Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Answer:

8x^{3}-34x^{2}+25x-3

Step-by-step explanation:

In order to solve this problem, lets take the two terms in the binomial (4x and -3) and, for each one, multiply them by each term in the trinomial (2x^2, -7x, and 1):

(4x-3)(2x^{2}-7x+1)

(4x*2x^{2})+(4x*-7x)+(4x*1)+(-3*2x^{2})+(-3*-7x)+(-3*1)

8x^{3}+(-28x^{2})+4x+(-6x^{2})+21x+(-3)\\

8x^{3}-28x^{2}+4x-6x^{2}+21x-3

Let's combine like terms to get our final answer:

8x^{3}-28x^{2}-6x^{2}+4x+21x-3

8x^{3}-34x^{2}+25x-3

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21. You want to buy a $25,000 car. The company is offering a 2% interest rate for 48 months (4 years). What will your monthly pa
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Answer:

531.25

Step-by-step explanation:

1)

Y = 2% x 25,000

2) Converting percent to decimal:

p = 2%/100 = 0.02

Y = 0.02 x 25,000

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The distance between two locations, A and B is calculated using a third location C at a distance of 15 miles from
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<h3>Answer:  approximately 6.3 miles</h3>

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

Explanation:

See the diagram below. The two given angles B = 105 and C = 20 are used to help find angle A

A+B+C = 180

A+105+20 = 180

A+125 = 180

A = 180-125

A = 55

Then we use the law of sines to find the side length c

sin(A)/a = sin(C)/c

sin(55)/15 = sin(20)/c

c*sin(55) = 15*sin(20) ... cross multiply

c = 15*sin(20)/sin(55)  .... divided both sides by sin(55)

c = 6.26294249724791 .... value is approximate

c = 6.3 ....... rounding to one decimal place

5 0
3 years ago
Under a microscope, ms. kapinski studies a culture with bacteria. as the number of hours progresses, ms. kapinski sees that the
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Answer:

Study 1 Answers:

1) 0.76 represents the multiplier of the bacteria, in this case it is decreasing by 24% because the formula for exponential decay is 1 - r.

2) 1290 represents the initial value, or before the study began.

Study 2 Answers:

1) 1180 is the initial value, or before the study began.

2) Study 1 started with more bacteria

3) Study 1 is experiencing exponential decay, while study 2 is experiencing exponential growth

Step-by-step explanation:

Exponential functions are in the form y=a(b)^x, where a is the initial value, b is the multiplier, and x represents inputs, such as hours after a bacteria study.

Any multiplier above 1.00 is experiencing exponential growth, meaning it grows gradually over time, and any multiplier below 1.00 is experiencing exponential decay, meaning it decreases in population over time.

5 0
2 years ago
Complete the table below to solve the equation $2x + 12 = 4^x$
IrinaVladis [17]
2(2) + 12 = 4^(2)
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4 years ago
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