Factor completely 2x^3 + 6x^2 + 10x + 30
Answer:
The factored expression is 2(x² + 5)(x + 3).
Step-by-step explanation:
Hey there!
We can use a factoring technique referred to as "grouping" to solve this problem.
Grouping is used for polynomials with four terms as a quick and easy factoring method to remove the GCF and get down to the initial terms that create the expression/function.
Grouping works in the following matter:
Given equation: ax³ + bx² + cx + dGroup a & b, c & d: (ax³ + bx²) + (cx + d)Pull GCFs and factorsLet's apply these steps to the given equation.
Given equation: 2x³ + 6x² + 10x + 30Group a & b, c & d: (2x³ + 6x²) + (10x + 30)Pull GCFs and factors: 2x²(x + 3) + 10(x + 3)As you'll see, we have a common term with both sides of the expression. This term, (x + 3), is a valuable asset to the factoring process. This is one of the factors for our expression.
Now, we use our GCFs to create another factor.
List GCFs: 2x², 10Create a term: (2x² + 10)Finally, we'll need to simplify this one by taking another GCF, 2.
Pull GCF: 2(x² + 5)Now that we have this term, we need to understand that this could also be factored further using imaginary numbers, but it is also acceptable to leave it in this form.
Therefore, we have our final factors: 2(x² + 5) and (x + 3).
However, when we factor, we place all of our terms together. This leaves us with the final answer: 2(x² + 5)(x + 3).
A motorist takes 80 minutes to travel 120km. find his speed
Answer: 90km/hour
Step-by-step explanation:
The formula for speed is given as:
= Distance / Time
where,
Distance = 120km
Time = 80 minutes = 80/60 = 1 1/3 hours
Speed = Distance / Time
= 120 / 1 1/3
= 120 / 4/3
= 120 × 3/4
= 90km/hour
The speed is 90km/hour.
Two baseball teams meet in a playoff series at the end of the regular season. Team A won 55 of 81 games played in its home stadium during the regular season, while Team B won 48 of 81 games played in its home stadium. The first two games of the series will be played in Team A's home stadium, the next two games in Team B's home stadium. In the absence of any other information, which expression is equal to the probability that Team A will win the first four games in a row?
Answer:
Assuming the statistics are independent of the visiting team, then probability of team A winning in home turf is P(A)=55/81, and winning as a visitor of team B is P(B)=(81-48)/81=33/81.
So winning all four games,
P = P(A)*P(A)*P(B)*P(B)
2.
Total volume = 9³ cm³ = 729 cm³.
Side of each of 3 new cubes
= cube root of (729 cm³ /3) cm
= cube root of (243) cm.
3.
Total number of ways to pick 4 balls out of 9
= C(9,4) = 9!/(4!5!)=126
Total number of ways to pick 4 blue balls = C(4,4) = 1
total number of ways to pick 4 red balls
= C(5,4) = 5
Number of ways of not choosing 4 red nor 4 blue = (126 - 1 - 5) = 120
Probability of not choosing 4 balls of the same colour is therefore ...?
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
how can you determine if two triangle angles are similar using their angle measurements???? In ur own words !!
Please help
Answer:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Step-by-step explanation:
hope this helps:0
How to Subtract this and put in Standard form?
Answer:
-12a2 + 9a - 5
Step-by-step explanation:
the 2 should be small
Harvey has $390 in a savings account that earns 6% simple interest each year. How much interest will Harvey earn in 2 years, assuming she does not add or take out any money? How much total money is in the account at the end of two years?
Answer:
She will earn $46.8 of interest. $436.8 is in her account total after the two years
Step-by-step explanation:
You would find out how much 6% of $390 is which would be $23.4 and then you would find out how much it would be after two years so you would $23.4 times two which is $46.8 so the interest would be $46.8. Then you would add the interest to the $390 that was put into the savings so you would do $390 + $46.8 = $436.8
Stacy started with 40 dollars in a savings account that earns 5% annually. How much interest will she get in one year
Answer:
2 dollars
Step-by-step explanation:
5% interest is 1.05
1.05 times 40 equals 42
42-40 equal 2
So 2 dollars
multiple choice, need help with this ASAP; I'll give BRANIEST to whoever gets it right and no links
Answer:
so it should be a,c,e, and b
Step-by-step explanation:
49s square root is 7 and 7 is an integer so check.
7 is a whole number check
7 is rational check
and 7 is a real number check.
A circular plate has circumference 33.3 inches. What is the area of this plate? PLZ HELP
Answer:
870.48
Step-by-step explanation:
Answer:
870.92
Step-by-step explanation:
A motorcycle raced around a track at a speed of 110 miles per hour.
If the motorcycle raced for 0.5 hours, how many miles did it travel?
Pamela is 10 years older than Jiri. The sum of their ages is 54. What is Jiri's age?
Answer:
22
Step-by-step explanation:
3x + 12 = -3 What is the value of X
Answer:
x = -5
Step-by-step explanation:
i took algebra a couple years ago :)
Answer:
x=-5
Step-by-step explanation:
3x+12= -3
-12 -12
(subtract 12 from both sides because you want the variable by itself)
3x= -15
(divide by 3 so you can get x completely by itself)
x= -5 (final answer)
Find the area of the figure shown below and type your result in the empty box.
Answer:
did u forget to add the actual question
Step-by-step explanation:
Mike took an uber from his home to the airport. The driver charges an initial fee of $6 and $3 per mile. The total fare was $24 not including the tip. How many miles did Mike travel by uber on this ride? *
Answer:
About 5 miles
Step-by-step explanation:
At first, I thought it would be 6 miles because 6x3 is 18 plus the initial 6 dollars which is 24. However, it says that it does not include the tip, which means that Mike DID tip the driver. So there has to be some space for the tip. If it was 6 miles it would be 24 dollars, but there is no more space for the tip. So it has to be 5 miles, because that will be 21 dollars, and assuming the tip could be about 3 dollars, then that would total up to 24 dollars.
please tell me which ones to select! I can select more than one. Thank you!!!
Answer: B, D, E
Step-by-step explanation:
Substitute x in each expression, solve, and see if it is equivalent to 3/4. See answer above. Hope this was helpful! :)
Marking brainliest.
Answer:
B. 173.25 cm^2
Step-by-step explanation:
just multiply them all.
What is the range of the graph and please answer fast
Please help!
Task is simplify expressions.
This is direct image from teacher.
can you solve this !!
[tex] \sqrt{62 \times 31 \times 2} [/tex]
Answer:
62
Step-by-step explanation:
Step-by-step explanation:
hope it is helpful to you
Please help
Nday(t)=300⋅(1.2)t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of ______
Answer:
3.58
Step-by-step explanation:
HELP ME PLEASE!!!!!!
please help ASAP will give brainleast to correct answer plus thank you!
Answer:
B
Step-by-step explanation:
Answer:
B. 0.8(9+w)
Step-by-step explanation:
By combining like terms you will get an equation of 7.2 + 0.8w. I noticed this could be simplified further by grouping and got answer B.
find x to the nearest 10th help pls
Answer:
5.9
Step-by-step explanation:
3/4x-1 1/2x+7
23
32
46
92
Answer:
92 is your answer
Step-by-step explanation:
we have
3x/4-1=x/2+7 side of square are equal
3x/4-x/2=7+1
(3x-2x)/4=8
x=8×4=32
length =3×32/4 -1=24-1=23
now
perimeter=4×length=4×23=92 units
Answer: The perimeter of the square is 92 units.
Step-by-step explanation:
All four sides of a square are equal. Set the given values 3/4x - 1 and 1/2x + 7 equal to one another. It should like this: 3/4x - 1 = 1/2x+7. The next step is solving for x. We get x = 32 as our answer. See the image of the work below if you are confused. :) Next, plug in this answer to the original equations: 3/4x-1 and 1/2x+7.
3/4(32) - 1 = 23
1/2(32) + 7 = 23
After basic substitution, we will conclude that each side of the square is 23 units long. To find perimeter use the equation 4s (let s represent sides). 4(23) = 92 units. Hope this was helpful!
Matteo is working two jobs, making $15 per hour at the movie theater and $18 per hour washing cars. Last week Matteo worked a total of 30 hours and earned a total of $480. Determine the amount of hours Matteo worked at the movie theater and the cash wash.
Answer:
movie theatre = 20 hours
car wash = 10 hours
Step-by-step explanation:
this would be solved using simultaneous equation
let a = hours worked in theatre
b = hours spent wash cars
15a + 18b = 480 eqn 1
a + b = 30 eqn 2
multiply eqn 2 by 15
15a + 15b = 450 eqn 3
subtract 1 from 3
3b = 30
b = 10 hours
substitute for b in eqn 2
a + 10 = 30
a = 20 hours
Find the value of x in the triangle shown below.
56°
31
x
what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2
Answer:
A
Step-by-step explanation:
Given that (-6,-6) is on the graph of f(x), find the corresponding point for the function f(2x).
Answer: (-3,-6)
Step-by-step explanation:
help me pls, i’ll mark brain list.
Answer:
1.43 minutes to get same height
Step-by-step explanation:
Equation
180 - 8x = 160 + 6x
14x = 20
x = 1.43 minutes