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).
ANSWER NUMBER 2 PLEASE
1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.
The outlier is 43.
2. Based on the data set in #1, which measure would better describe the test scores?
A. Mean
B. Median
Answer:
B: Median
Step-by-step explanation:
If there is an outlier then the median is better.
If there isn't an outlier then the mean is better.
Various types of doctors attended a large medical conference. Someone leading a session asked the 30
doctors in attendance how many years of experience they each had. The 15 dermatologists at the session
had an average of 8 years of experience.
For which population is 8 years a legitimate estimate of the average experience?
Choose 1 answer:
The dermatologists at that session only
B
All doctors at that session only
С
All dermatologists at that conference only
All doctors at that conference only
Answer: The dermatologists at that session only
Step-by-step explanation:
It was on a Khan Academy practice.
Please help me with this!!!!!!!!!!!!!
Answer: right 2 units
pls I need help with this math question.
Answer: -4096
Step-by-step explanation:
Which of the following expressions is
equivalent to the expression below?
3(2x + 4)
А 3х + 4
C 6x + 4
B 6x + 12
Answer:
6x + 12
Step-by-step explanation:
this is because 3 times 2x = 6x and 3 times 4 = 12.
Answer:
6x+12
Step-by-step explanation:
I need help with this graph! I need to solve this equation to understand where to graph the points, I really need help on this ty :)
(you don't need to actually graph it just tell me where to put the points please!)
Select the letter in the box that correctly describes the three-dimensional figure.
A B C D E
Cone
Sphere
Cylinder
Brainlyist for the right answer
Answer:
it is C.
Step-by-step explanation:
just trust me.
Answer:
she is right it's C
Step-by-step explanation:
Have a good Day! :)
Please help with this its confusing somehow :(
Answer :- D
Refer to the attached image for solution ❤️
A transcriptionist types 62 words per minute. Which statement is correct? As the number of words increases, the number of minutes decreases. As the number of words decreases, the number of minutes increases. The number of words, w, is the dependent variable.
Answer:
The number of words, w, is the dependent variable.
Step-by-step explanation:
Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant.
Explain the meaning of each statement in the context of the situation using everyday language. Remember that the input of the function t is the time in the oven and the output f(t) is the temperature of the turkey at that time.
1. f(0) = 50. (8 points)
2. f(120) > f(60). (8 points)
3. f(360) = f(345). (7 points)
4. f(390) < f(360). (7 points)
Answer:
Step-by-step explanation:
1. f(0) = 50. (8 points) The beginning temperature of the turkey was 50 degrees. The '0' represents "beginning."
2. f(120) > f(60). (8 points) The temperature of the turkey after 120 min (2 hours) is greater than that after 60 minutes (1 hour).
3. f(360) = f(345). (7 points) The temperature of the turkey is the same after 360 minutes as it is after 345 minutes.
4. f(390) < f(360). (7 points)
The temperature of the turkey drops after 360 minutes (6 hours), because the turkey is taken out of the oven and/or the oven is turned off.
GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST!
Answer:
FHG is 45 degrees
Step-by-step explanation:
For a square, each of the angles at the corners measure 90 degrees
Also, the two diagonals are equal and they bisect one another
Also, the diagonals bisect each of the angles at the corners making each angle lying in each triangle to be 45 degrees, thereby creating 4 isosceles right triangles
For FHG, looking at the triangle FHG, FG and GH are equal lengths as we have an isosceles right triangle
An isosceles right triangle is only possible when the two internal angles asides the right triangle are 45 degrees each
What this mean is that FHG measure is 45 degrees
An electronics store purchases
laptops for $425.00. They use a
markup rate of 60%. How much do they
sell the laptop to their customers?
A) $680.00
C) $255.00
B) $450.50
D) $595.00
Please help and no links. :)
Answer:
255.00
Step-by-step explanation:
425.00 x .60 = 255
[tex]4(3-5x)=15-(8x-25)[/tex]
Rosa can send texts on
her phone at the rate
of 32 words per minute.
How long would it take
her to text 150 words?
Answer:
4.7 minutes
Step-by-step explanation:
150/32 is 4.68 which rounds to 4.7
Solve for x . Hurry pleaseeeeeeeeeeee
Answer:
X = 4
Step-by-step explanation:
Answer:
x = 4
mark me as branliest
Solve by factoring
2n^2+12n+18
Answer:
Step-by-step explanation:
d/dn(2 n^2 + 12 n + 18) = 4 (n + 3)
Indefinite integral:
integral(18 + 12 n + 2 n^2) dn = (2 n^3)/3 + 6 n^2 + 18 n + constant
Global minimum:
min{2 n^2 + 12 n + 18} = 0 at n = -3
Someone please help me with equation :)
Answer:
Use the formula pi r^2. You are finding the radius. Plug the numbers in.
Answer:
Should be the second one.
Step-by-step explanation:First you have to think that the entire circle is blue. So the area of the blue circle is: 3.14*11^2 = 379.94.
Then you have to look at the smaller circle. There the radius is: 3. So the area would be: 3.14*3^2 = 28.26
They are asking you to find the shaded area. So you subtract the bigger circles area with the smaller circle.
379.94 - 28.26 = 351.68 to the exact.
Some please help I’ll give BrainLiest
Answer:
The author thought the event was exciting and interesting
Another easy points let’s goooo
Answer:
916110
Step-by-step explanation:
39*27*29*30
porfa es pa hoy les doy 26 puntos
hola como esta no veo bien las preguntas
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, How many more hot dogs would Winston needto sell to earn a total of $175.00 ?
Answer:
Winston would need to sell 14 more hot dogs to earn a total $175
Step-by-step explanation:
Brainliest question if you help
Answer:
C.
Step-by-step explanation:
what does y=x match?
Answer:
m = 1
Step-by-step explanation:
slope intercept form --> y=mx+b
y=1x+0
therefore the slope is
m = 1
Question 1 of 5 What is the fractional equivalent of the repeating decimal 08 ?
Una botella pesa 1090kg cuando esta llena y 250g cuando esta vacía. ¿Cuanta masa de aceite contiene la botella?
Respuesta:
1089,75 kg
Explicación paso a paso:
Dado que :
Masa de embotellado lleno = 1090 kg
Masa de la botella vacía = 250 g
Masa de aceite que contiene la botella:
Expresando la masa de la botella cuando se llena en gramos:
1000 g = 1 kg
1090 kg = (1090 * 1000) = 1090000 g
La masa de aceite que contiene la botella es así:
Masa de la botella cuando está llena - masa de la botella cuando está vacía
1090000 g - 250 g = 1089750 g
Por tanto, la masa de aceite es 1089750 g
O 1089750/1000 = 1089,75 kg
On a given planet, the weight of an object varies directly with the mass of the object. Suppose that an object whose mass is 9 kg weighs 63 N . Calculate the mass of another object that weighs 14 N.
Answer:
The mass is 2 kg.
Step-by-step explanation:
W = kM where k is a constant so
63 = k*9
k = 7
So: W = 7M
when W = 14:
14 = 7M
M = 2.
A metric unit that is equal to one thousandth of a liter is...
Answer:
mililiter
Step-by-step explanation:
Solve the system by using the elimination method.
Answer:
(8, 4 )
Step-by-step explanation:
Given the 2 equations
5x - 5y = 20 → (1)
- 3x + 5y = - 4 → (2)
Add the 2 equations term by term to eliminate the y- term
2x + 0 = 16
2x = 16 ( divide both sides by 2 )
x = 8
Substitute x = 8 into either of the 2 equations and solve for y
Substituting into (2)
- 3(8) + 5y = - 4
- 24 + 5y = - 4 ( add 24 to both sides )
5y = 20 ( divide both sides by 5 )
y = 4
solution is (8, 4 )
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $10 million after 4 years, while profits increased
$7.5 million per year. Select the correct graph of this function
Answer:
Step-by-step explanation:
The answer is: There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.
hope this help and srry if wrong