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Maslowich
3 years ago
6

Find the product of (3x - 2)and(6x + 1)

Mathematics
2 answers:
Lapatulllka [165]3 years ago
4 0

Answer:

18x² - 9x - 2

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

3x(6x + 1) - 2(6x + 1) ← distribute both parenthesis

= 18x² + 3x - 12x - 2 ← collect like terms

= 18x² - 9x - 2

stealth61 [152]3 years ago
3 0

Use foil (first, outer, inner, last)

First terms: 3x * 6x = 18x²

Outer terms: 3x * 1 = 3x

Inner terms: -2 * 6x = -12x

Last terms: -2 * 1 = -2

Put all that together to get 18x² + 3x - 12x - 2

3x and -12x can be combined because they're like terms; 3x - 12x = -9x

So the final product is 18x² - 9x - 2

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Find the volume and surface area of this prism.
mina [271]

Answer:

V = 408 cm cubed

SA = 558 cm squared

Step-by-step explanation:

To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.

V =1/2 l*w*h =1/2* 6*8*17 = 408

To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.

Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.

Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.

The surface area of the prism is 48 + 510 = 558.

8 0
3 years ago
What is the interest amount after borrowing $83,500 at a rate of 4.005% over 6 years? Round your answer to the nearest cent.
nadya68 [22]

Answer:

83,000

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Two customers went to a post office to buy postcards and large envelopes. Each postcard
astraxan [27]

The right answer is Option A.

Step-by-step explanation:

Let,

x be the postcards

y be the large envelops

According to given statement;

14x+5y=12   Eqn 1

10x+15y=24.80   Eqn 2

Multiplying Eqn 1 by 3;

3(14x+5y=12)\\42x+15y=36\ \ \ Eqn \ 3

Subtracting Eqn 2 from Eqn 3;

(42x+15y)-(10x+15y)=36-24.80\\42x+15y-10x-15y=11.20\\32x=11.20\\

Dividing both sides by 32

\frac{32x}{32}=\frac{11.20}{32}\\x=0.35

Putting x=0.35 in Eqn 1;

14(0.35)+5y=12\\4.90+5y=12\\5y=12-4.90\\5y=7.10

Dividing both sides by 5

\frac{5y}{5}=\frac{7.10}{5}\\y=1.42

Therefore, one large envelope costs $1.42

The right answer is Option A.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/9738996
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#LearnwithBrainly

4 0
3 years ago
Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra
AlladinOne [14]

The correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

<h3>What is  y-value?</h3>

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

Learn more about Y-value from:

brainly.com/question/3319387

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8 0
1 year ago
Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in si
ella [17]

The value of the probability is 3/14

<h3>How to solve the probability?</h3>

The given parameters are:

P(A) = 4/7

P(B | A) = 3/8

The probability of events A and B occurring is calculated using:

P(A and B) = P(B | A) * P(A)

So, we have:

P(A and B) = 3/8 * 4/7

Evaluate the product

P(A and B) = 3/14

Hence, the value of the probability is 3/14

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