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.
The product of the givens expressions is 12a³ + 2a² + 23a + 18.
Product of the given expressionsThe 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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What is
of 1 of 10?
5
Answer:
Pretty sure it's 2
Step-by-step explanation:
what is the y-intercept of the graph of the function
Answer:
(0,-5)
Step-by-step explanation:
It is where the line meets the y axis
please help I am timed!!!!!!!!!!!!!!!!!!!!!
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:
What is the value of t?
40°
39°
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
Evaluate the expression
negative 14 plus 5
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"
if f(x)=x^2+4x-12. find f(2)
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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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?
Answer:
Step-by-step explanation: 14.2
When a 40-foot pole casts a shadow of
30 feet, how tall is a nearby tree that
casts a shadow of 15 feet?
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.
4 Sheila buys 200 shares of stock at $18.25 per share and sells them at $32.50 per
share.
Her total profit is
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
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
Answer:
Q is -7
Step-by-step explanation:
Q×2+5=x
Q-2=x
Q=-7
bruh math problems really be like
"sALLY aTe 7 PenCiLs, iF sHe vOmitS 3 hOw mAnY arE LeFt?"
smh.
Answer:
Bruu for real and they don't make sense LOL
Step-by-step explanation:
Answer:
FACTS lmbooo
Step-by-step explanation:
can i have some help
Answer:
one solution
Step-by-step explanation:
once you solve it, x equals 0
La suma de DOS números pares es 100. ¿Cuáles son esos números?
The sum of TWO even numbers is 100. What are those numbers?
3/4g=-12
solve and if you can explain the process bc I have no clue what I'm doing
Answer:
-16
Step-by-step explanation:
3/4 = 0.75
0.75 x -16 = -12
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)?
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
please help.............
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
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?
Answer:
21
Step-by-step explanation:
becuase that's the answer lol
Plsss help I’ll give u brainlest and 10 points
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
Answer:
10 girls
Step-by-step explanation:
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
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)
what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20
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
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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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
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
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)
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)
Does anyone know thissss
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?
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
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
Answer:
0 and undefined
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
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: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
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(a+b)^3 what if it is was a plus
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]
Another name for Rotation is slide.
True
False
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.