What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18

Answers

Answer 1

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

Answer 2

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

Product of the given expressions

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

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Related Questions

What is the value of t?
40°
39°

Answers

Answer:41

Step-by-step explanation:

because the 49 degrees and t equal a right angle which is 90 degrees you subtract 49 from 90 which makes the remaining degree aka t 41

please help I am timed!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Option 3

Step-by-step explanation:

If you get more of these just now that a y value of a graph in this case -2, will be outside of the radical or else it would start at 2 and keep going right above 0 due to the radical.

Answer:

the answer is C

Step-by-step explanation:

I think of a number q, multiply it by 2 and add 5. I get the same answer as when I minus 2 from q. Find the value

Answers

Answer:

Q is -7

Step-by-step explanation:

Q×2+5=x

Q-2=x

Q=-7

Pregunta En cierto supermercado, Monica pagó $ 3,20 por 2 libras de manzanas y 2 libras de naranjas, mientras que Sarah pagó $ 4,40 por 2 libras de manzanas y 4 libras de naranjas. A estas tarifas, ¿cuál es el costo, en dólares, de 3 libras de naranjas?

Answers

Answer:

Step-by-step explanation: 14.2

Olivia filled 6 baskets of strawberries. Later she combined the fruit evenly into 3 larger boxes. if all 3 boxes sold for $42, how much money did each box of strawberries cost?

Answers

Answer:

21

Step-by-step explanation:

becuase that's the answer lol

bruh math problems really be like


"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"

smh.

Answers

Answer:

Bruu for real and they don't make sense LOL

Step-by-step explanation:

Answer:

FACTS lmbooo

Step-by-step explanation:

Evaluate the expression

negative 14 plus 5

Answers

Answer:

its -9 :)

dmdmonjdnkjdnb

Answer:

-9

Step-by-step explanation:

-14+5 = -9

In equations like this, look at the signs of the numbers and that will tell you what to do. Remember it like this:

"Same signs add and keep. Different signs subtract. Keep the sign of the higher number then you'll be exact"

What is
of 1 of 10?

5

Answers

Answer:

Pretty sure it's 2

Step-by-step explanation:

what is the y-intercept of the graph of the function ​

Answers

The y-intercept is where the line(s) cross the y-line

So your answer is.
-5

I hope this helps!!

Answer:

(0,-5)

Step-by-step explanation:

It is where the line meets the y axis

can i have some help

Answers

Infinite Solutions :) Dhdhsjsjdnnd

Answer:

one solution

Step-by-step explanation:

once you solve it, x equals 0

Which proportion would be used to solve the following problem. The proportion of turtles to alligators at the reptile park is 5:9. Since Beth counted 45 turtles, how many alligators are there?

Answers

Answer:

befor i go im trynna love you baby hopefully e

Step-by-step explanation:

Answer/Step-by-step explanation:

There are 81 Alligators.

The original equation was 5:9. Since the 5 turtles have been scaled up(multiplied by) 9 times. The rate for alligator will be multiplied by 9.

45 ÷ 5 = 9

9 x 9 = 81

5:9 x 9 = 45:81

3/4g=-12

solve and if you can explain the process bc I have no clue what I'm doing

Answers

Answer:

-16

Step-by-step explanation:

3/4 = 0.75

0.75 x -16 = -12

I store Offers a rewards program where shoppers are in one point for every two dollars I spent +500 bonus points on their first purchase. But the function of represent the points earned as a function of the total amount spent ask. Write a function that represents the total number of points earned us as a function of the amount spent

Answers

Answer:

F(p) = 500 + 0.5p

Step-by-step explanation:

Given that :

Bonus point on first purchase = 500

Number of points earned for every 2 dollar spent = 1

Points earned as a function of amount spent :

Bonus point + points earned per dollar

Number of points earned per dollar = 1 / 2

Let p = amount spent

F(p) = function representing the points earned

Hence,

F(p) = 500 + 0.5p

La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?

Answers

There could be multiple possibilities including
80+20=100
60+40=100
50+50=100

Another name for Rotation is slide.
True
False

Answers

False:

A rotation is the action of rotating around an axis or center.

A slide means to move along a smooth surface while maintaining continuous contact with it.

if f(x)=x^2+4x-12. find f(2)

Answers

Answer:

f(2) = 28

Step-by-step explanation:

By evaluating the function in x = 2 we will see that f(2) = 0.

How to evaluate a function?

Here we have:

[tex]f(x) = x^2 + 4x - 12[/tex]

and we want to find f(2), so we need to evaluate in x = 2.

To do this, we just replace the "x" in the function by the number 2, we will get:

[tex]f(2) = 2^2 + 4*2 - 12 = 4 + 8 - 12 = 0[/tex]

So we can conclude that f(2) = 0.

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4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is

Answers

Answer:

Step-by-step explanation:

If Sheila buys

200 shares for 18.25

200*18.25==3650

she sells them for

200*32.50=6500

her profit is

6500-3650=2850.00

another way to solve this would be

32.50-18.25=14.25

14.25*200=2850

Does anyone know thissss

Answers

We can’t even see it sorry
God bless you

which slopes could be the slopes of perpendicular lines?

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

Answer:

0 and undefined

Step-by-step explanation:

1) Arnold has $200 in his bank account. His bank
account earns interest at a rate of 2% each year.
After 15 years, how much money will Arnold have
in his bank account (assuming no withdrawals or
deposits)?

Answers

Answer:

P is the principal amount, $200.00.

r is the interest rate, 2% per year, or in decimal form, 2/100=0.02.

t is the time involved, 15....year(s) time periods.

So, t is 15....year time periods.

To find the simple interest, we multiply 200 × 0.02 × 15 to get that:

The interest is: $60.00

what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20

Answers

Step-by-step explanation:

Y-0 = 1/4(x-8)

4Y= x-8

4Y-x+8=0

Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2

Answers

Answer:

Y=(1/2)x + 3

Step-by-step explanation:

The equation of the line is y = (1/2)x + 3.

We have,

The equation of a line is written as:

y = mx + c

Where m is the slope and c is the y-intercept.

Now,

From the line,

We have the following coordinates:

(2, 4) and (4, 5)

Now,

Slope.

m = (5 - 4) / (4 - 2) = 1/2

And,

(2, 4) = (x, y)

Substituting.

y = mx + c

4 = (1/2) x 2 + c

4 = 1 + c

c = 4 - 1

c = 3

Now,

y = (1/2)x + 3

Thus,

The equation of the line is y = (1/2)x + 3.

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3
Edwin is collecting glass beads and gold buttons. The glass beads are worth $0.50 each and the gold buttons
are worth $0.70 each. His total collection is worth $35. The number of glass beads he has is represented by g.
and the number of gold buttons he has is represented by b. The equation 0.50g +0.70b = 35 can be used to
determine how many of each item he has.
Select all of the possible bead and button combinations based on the above criteria.
g= 70, b = 0
g=52, b = 10
g= 56, b'= 10
8= 42, b = 20
g=0, b= 100
no

Answers

9514 1404 393

Answer:

  (g, b) = (70, 0), (56, 10), (42, 20)

Step-by-step explanation:

The g-intercept is 35/0.5 = 70, so (g, b) = (70, 0) is a possible combination.

The slope of the relation is such that when g goes down by 14, b goes up by 10. Other points on the line are (70 -14, 0 +10) = (56, 10) and (56 -14, 10 +10) = (42, 20).

Of those listed, the possible combinations are ...

  (g, b) = (70, 0), (56, 10), (42, 20)

When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?

Answers

Set up a ratio with height over shadow height:

40/30 = x/15

Cross multiply:

40 x 15 = 30x

600 = 30x

Divide both sides by 30:

X = 20

The tree is 20 feet tall.

Answer:

20

Step-by-step explanation:

It tells you that a 40 foot pole casts a 30 foot then it asks you how tall is a tree if it casts a 15 foot shadow. We see that 30 is exactly 2 times 15

30 = 2 * 15

So we simply do that to 40 too.

40 / 2 = 20

So 20 is our answer.

please help.............

Answers

Answer:

The answer is 4

Answer:

image 1

Step-by-step explanation:

because pointing down is then 180 and taking another 90 degrees and go in counterclockwise direction

(a+b)^3 what if it is was a plus ​

Answers

Answer:

Step-by-step explanation:

(a+b)³

a³+a²b+ab²+b³

Or

a³+b³+ab(a+b)

[tex](a + b)^{3} = {a}^{3} + 3{a}^{2} b + 3a {b}^{2} + {b}^{3} [/tex]

Also do not get mixed between

[tex] {a}^{3} + {b}^{3} [/tex]

They both are not the same.

[tex](a + b)^{3} ≠ {a}^{3} + {b}^{3} [/tex]

Factor this polynomial completely
x2 - 8x+ 12
O A. (x-2)(x-6)
B. (x + 2)(x-6)
c. (x - 2)(x+6)
D. (x-3)(x - 4)

Answers

Answer:

(x-2)(x-6)

Step-by-step explanation:

We look for two integers which multiply to +12 but add to -8 and we find those numbers by looking at the factors of 12={1,2,3,4,6,12}

We find that by picking 6 and 2,6×2=12 but 6+2 is not -8 so we tweak that as -6 and-2

By so doing, now -6×-2=12,-6+(-2)=-8

so we factor to get (x-2)(x-6)

Plsss help I’ll give u brainlest and 10 points

Answers

Answer:

b

Step-by-step explanation:

d is your inital amount.  Then you spend $7, so you subtract 7.  That is greater than or equal to 50.

If a class of 30 students have to split the boys and girls in hafe and 10% are girls, how meany girls are in the class

Answers

Answer:

10 girls

Step-by-step explanation:

You roll two die. What is the probability you will roll a 4, then roll a number less than 3?
A) 1/36
B) 1/9
C) 1/6
D) 1/18

Answers

Answer:

B 1/9

Step-by-step explanation:

Because there are 6 sides of a die then your adding 3 to the 6

I think. (please dont hate me if im wrong!!)

The probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

What is the chain rule in probability for two events?

For two events A and B:

The chain rule states that the probability that A and B both occur is given by:

[tex]P(A \cap B) = P(A)P(B|A) = P(B)P( A|B)[/tex]

Which pair of events are called independent events?

When one event's occurrence or non-occurrence doesn't affect occurrence or non-occurrence of other event, then such events are called independent events.

Symbolically, we have:

Two events A and B are said to be independent iff we have:

[tex]P(A \cap B) = P(A)P(B)[/tex]

For this case, let we define two events:
A = event of rolling a 4 in first rollB = event of rolling a number less than 3 in second roll

Then A and B are independent as their outcomes are not directly related or prone to affect each other assumingly.

Thus, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Total number of outcomes for any roll = n(S) = 6

Favorable number of outcomes for event A = n(A) = 1 (since a 4 can occur in 1 way out of 6 results)

Thus, P(A) = n(A)/n(S) = 1/6

And, favorable number of outcomes for event B = n(B) = 2 (since numbers less than 3 are only 1 and 2, so two outcomes possible)

Thus, P(B) = n(B)/n(S) = 2/6

Hence, probability of rolling a 4, then rolling a number less than 3 is:

[tex]P(A \cap B) = P(A)P(B) = \dfrac{1}{6} \times \dfrac{2}{6} = \dfrac{2}{36} = \dfrac{1}{18}[/tex]

Therefore, the probability that if we will roll a 4, then rolling next a number less than 3 is given by: Option D: 1/18

Learn more about probability here:

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