The completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
How to factor the expression?The polynomial expression is given as;
12x⁴ + 39x³ + 9x²
Factor out 3x² from the expression
3x²(4x² + 13x + 3)
Expand
3x²(4x² + 12x + x + 3)
Factorize the expression
3x² * 4x(x + 3) + 1(x + 3)
Factor out x + 3
3x²(4x + 1)(x + 3)
Hence, the completely factored expression of 12x⁴ + 39x³ + 9x² is 3x²(4x + 1)(x + 3)
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Find an expression which represents the sum of (x – 2y) and (-10x + 6y) in
simplest terms.
+
a
Answer:
-9x + 4y
Step-by-step explanation:
Adding expressions:
Like terms have same variable with same power.Combine like terms.
Here, x and (-10x) are like terms &
(-2y) and 6y are like terms
x - 2y + (-10x + 6y) = x - 2y - 10x + 6y
= x - 10x - 2y + 6y
= -9x + 4y
The radius of a circle is 2 inches. What is the circle's circumference?
r=2 in
Use 3.14 for pie
Answer:
6.28
Step-by-step explanation:
2×3.14 because this is just simple multiple
You roll a number cube twenty times and it lands on a 3 five times. What is the
experimental probability that it ends on a 3 the next time you roll?
Answer:
Hence, a fair dice has a probability of 16 to land on any predetermined number 1 through 6. Therefore, to land on 3 the probability is 16
Step-by-step explanation:
What is the total of the new purchases Jessica made during the month?
A.
$123.09
B.
$125.00
C.
$210.30
D.
$210.52
Pleaseee help mee!!!
Answer:
down shift 90
Step-by-step explanation:
-90 will shift the graph down 90 units
PLEASE HELP 50 POINTS
Which of the following is a solution of y + x < -5?
(-2, -3)
(-4, -2)
(-3, -2)
(-1, -3)
Answer: The 4th option= -1, -3
Step-by-step explanation: Here, if y = -1 and x = -3. The equation would be: (-1) + (-3)= -1 -3 = -4
Now we know that -4 is greater than -5.
Some may think that -4 is smaller than -5 nut remember that the numbers are in minus form, so if u put them in a number line, then -4 is greater than -5.
Thanks.
Find the perimeter of the triangle.
20 ft
21 ft
Answer:
29 feet
Step-by-step explanation:
20^2 + 21^2 = 841
841sqrt = 29 feet
What is the point-slope form of a line with slope -5 that contains the point
a
(2,-1)?
The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
What is point slope form?The point slope form of a line is the expression of line which has a specified slope and passes through a point.
The point slope form is givne as,
(y-y₁)=m(x-x₁)
Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.
The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,
(y-y₁)=m(x-x₁)
(y-(-1))=-5(x-2)
(y+1)=-5(x-2)
Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).
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A culture of bacteria contains 1,500 bacteria initially and doubles every 30 minutes.
1. Write a function that models the number of bacteria after t time.
2. Find the number of bacteria after 2 hours.
3. After how many minutes will there be 12,000 bacteria
if the bacterial is doubling, that means the growth rate is 100%, or 100% plus whatever it was before, so
[tex]\textit{Periodic/Cyclical Exponential Growth} \\\\ A=P(1 + r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &1500\\ r=rate\to 100\%\to \frac{100}{100}\dotfill &1\\ t=minutes\\ c=period\dotfill &30 \end{cases} \\\\\\ A=1500(1 + 1)^{\frac{t}{30}}\implies A=1500(2)^{\frac{t}{30}} \\\\\\ \stackrel{\textit{after two hours, or 120 minutes, t = 120}~\hfill }{A=1500(2)^{\frac{120}{30}}\implies A=1500(2)^4\implies A=24000}[/tex]
[tex]~\dotfill\\\\ \stackrel{\textit{current amount being 12000}}{12000=1500(2)^{\frac{t}{30}}}\implies \cfrac{12000}{1500}=(2)^{\frac{t}{30}}\implies 8=(2)^{\frac{t}{30}}\implies 8=\sqrt[30]{2^t} \\\\\\ 8^{30}=2^t\implies (2^3)^{30}=2^t\implies 2^{90}=2^t\implies 90=t[/tex]
One winter day, the temperature at noon was -9f The temperature then rose by 1/2 degree each hour for 3 hours before dropping by 2 1/4 degrees each hour for 2 hours. What was the temperature, in degrees Fahrenheit, at 5 PM?
Answer:
The temperature at 5 PM was - 12°FStep-by-step explanation:
One winter day, the temperature at noon was -9°F.
The temperature then rose by 1/2 degree each hour for 3 hours:
1/2 × 3 = 3/2 = 1 1/2The temperature then dropped by 2 1/4 degrees each hour for 2 hours:
- 2 1/4 × 2 = - 4 2/4 = - 4 1/2Now add up all three values to find the final value:
- 9 + 1 1/2 - 4 1/2 = - 9 + 1 - 4 = - 12please help me solve this
Answer:
i actually don't know
Step-by-step explanation:
I need help me with math homework please .?
[tex]x = 5 \\ y = 4 \\ m = \frac{1}{5} [/tex]
y= mx+b
[tex]4 = ( \frac{1}{5} \times( 5) )+ b \\ 4 = 1 + b \\ 4 - 1 = b \\ 3 = b \\ y = \frac{1}{5} x + 3[/tex]
Answer:
y = 1/5x + 3
Step-by-step explanation:
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.
Find the volume of a cone with the base of 10 and height of 6
Answer:
Answer = 157
Step-by-step explanation:
The formula to finding the volume of a cone is h(pi)(r^2)/3. We know that the height is 6 and the base is 10. This means that the radius is 5 because it is 1/2 of the base. Now we plug in our numbers into the equation and get 157!
Hope that helps! :)
There are six people on a bus. This is in total. At the first stop, eight more people get on. At the second, four get on and two hop off. At the third stop, the bus becomes practically full as 15 passengers get on. Four get off. At the last stop, 8 people get off. How many people are on the bus?
Just a fun problem for you :D
P.S. Answer it correctly ;)
Answer:
This was a nice way to spend my time :) how'd I do?
Step-by-step explanation:
Total: 6
1. +8
After stop 1, total is 14 people
2. +4, -2
After stop 2, total is 16 people
3. +15, -4
After stop 3, the total is 27 people
4. -8
Total # of people on the bus: 19
(A little voice in the back of my mind is telling me that I overthought this entire problem, and that the answer is just 6)
The value of a painting rises from £120,000 to £192,000.
Work out the percentage increase in the value of the painting.
Show your working.
Solve the equation for x. Do not include "x =" in your answer.
-3+√3x-11=5
Help pls
The value of x in the equation is 25
How to solve for x?The equation is given as;
[tex]-3 + \sqrt{3x - 11} = 5[/tex]
Add 3 to both sides
[tex]\sqrt{3x - 11} = 8[/tex]
Take the square of both sides
3x- 11 = 64
Add 11 to both sides
3x = 75
Divide both sides by 3
x = 25
Hence, the value of x in the equation is 25
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Find the median and mean of the data set below:
3,40,15,28
3,40,15,28
Answer:
21.5
Step-by-step explanation:
Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5
Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5
Solve this problem and get 15 points
d. 32.6°
explanation:
tan(×)= 0.6396
tan(x)= 0.6396/1000
tan(×)= 1599/2500
(×)= arctan (1599/2500)
(×)≈ 0.569029 or 32.6°
There are eleven divers on a swim team. If the team can only send four divers to a competition, how many ways can they send four?.
Make g the subject of the formula [tex]w=7-\sqrt{g}[/tex]
Answer:
Step-by-step explanation:
[tex]\sqrt{g}[/tex] = 7-w
([tex]\sqrt{g}[/tex] )^2 = (7-w)^2
g = (7-w)^2
The graphs of f(x) and g(x) are shown below:
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
Answer:
A. g(x)=(x+9)^2
Step-by-step explanation:
if it’s plus inside the parentheses it’s goes left and if it’s - it’s right
Hope this helps! ;-)
2. If A and B are square matrices of the same order, then (A + B) (A - B) is equal to (a) A²– B² (b) A– BA – AB - B² (c) A² - B² + BA – AB (d) A² - BA +B+ AB
Correct option is C) A² - B² + BA – AB
Step-by-step explanation:
(A+B)(A−B)=A(A−B)+B(A−B).........because matrix product is distributive.
=A² + BA - AB - B²
And as matrix product is not commutative, so AB¦=¦BA
Hence option C is correct.
DUE SOON PLEASE HELP
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is NOT red, replace it, then
randomly select a marble that is yellow?
.
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%.
9%
26%
4%
61%
Answer:
9% sry if im wrong
Step-by-step explanation:
Kayla has some colored marbles that are the same size and shape. Use
the information below to determine which is closest to the probability
that Kayla will randomly select a marble that is not red, replace it, then
randomly select a marble that is yellow?
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%
How do I find the domain range and function of the graph
Answer:
D = {-3, -2, -1, 1, 4}
R = {-5, -1, 0, 2}
Step-by-step explanation:
You have correctly described the process of finding the domain and range by the way you filled in the blanks at the top of the sheet.
__
The domain is the set of x-values of the points on the graph:
D = {-3, -2, -1, 1, 4}
The range is the set of (unique) y-values of the points on the graph:
R = {-5, -1, 0, 2}
Which triangle congurence theorem proves that ABD ≈ CBD?
AAS
SAS
HL
CPCTC
Answer:
AAS
Step-by-step explanation:
the ansewer
can someone please help me to work this out
Answer:
13.64 cm²
Step-by-step explanation:
Area of Trapezoid :
1/2 x (a + b) x ha and b = parallel side lengthsh = heightSolving :
1/2 x (5.2 + 3.6) x 3.11/2 x 8.8 x 3.14.4 x 3.113.64 cm²Answer:
13.64 square centimeters
Step-by-step explanation:
Hey there!
The formula to finding the area of a trapezoid is:
1/2 (p + q) h
Where h is the height, p is the shorter base and q is the longer base
In this case
p - 3.6
q - 5.2
h - 3.1
1/2 (3.6 + 5.2) 3.1
1/2 (8.8) 3.1
(4.4) 3.1 --> 4.4 x 3.1
13.64
So, the area of this trapezoid is 13.64 square centimeters
I chose B as an answer but I’m not sure
Answer:
hy the answer is C. a car maintained constant speed
Answer:
c.A car maintained constant speed
Step-by-step explanation:
according to the graph,velociry is always in a straight line over time.
so the velocity is constant
so A car maintaned constant speed
Mr smith has 28 children if he wants 2 give 2 sweets to his class how many sweets
Answer:
56
Step-by-step explanation:
If each child gets 2 sweets then we have to multiply the number of children by 2.
[tex]28 \times 2 = 56[/tex]
Answer:
30 sweets.
Add 28 and 2.
#81 will gove brainliest to best answer
To solve this problem, we need to factor both
⇒ numerator: [tex]x^2-4x+4[/tex]
⇒ denominator: [tex]x^2-4[/tex]
Let's factor:
⇒ [tex]x^2-4x+4=(x-2)(x-2)\\[/tex]
⇒ [tex]x^2-4=(x+2)(x-2)[/tex]
Let's put it back into the fraction:
[tex]\frac{x^2-4x+4}{x^2-4}=\frac{(x-2)(x-2)}{(x+2)(x-2)} =\frac{x-2}{x+2}*\frac{x-2}{x-2} =\frac{x-2}{x+2} *1=\frac{x-2}{x+2}[/tex]
Answer: Choice (3) or [tex]\frac{x-2}{x+2}[/tex]
Answer:
[tex]\frac{x-2}{x+2}[/tex]
Step-by-step explanation:
First, let's factor out the fraction into [tex]\frac{(x-2)^2}{(x+2)(x-2)}[/tex], now we can cancel out the [tex]x-2[/tex]. After we do that, our final answer is [tex]\frac{x-2}{x+2}[/tex].
Hope this helps! :)