Answer:
(x - 2)(3x^2 + 5)
Step-by-step explanation:
All four terms here have 3 as a factor. Factor out 3:
3x^(3)-6x^(2)+15x-30 => 3(x^3 - 2x^2 + 5x - 10)
The last two terms can be rewritten as 5(x - 2). The first two terms can be rewritten as 3x^2(x - 2). So (x - 2) is a factor of 3(x^3 - 2x^2 + 5x - 10). We get:
3x^2(x - 2) + 5(x - 2) = (x - 2)(3x^2 + 5)
Use the quadratic formula to solve the equation.
4x2 - X+ 3 = 0
Answer:
X=11
Step-by-step explanation:
4 x 2 - X + 3 = 0
multiply 4 x 2
=8
subtract the 3 and 8 to the other side which will made it
-X = -11
and this can be divided by a negative so the answer will be
X = 11
Vhich expression shows that the quotient
Answer:i think the answer d
Step-by-step explanation:
Answer:
2nd option is the correct answer.
[tex] \frac{6x - 1}{9x - 3} [/tex]
Step-by-step explanation:
[tex] \frac{2}{3x - 1} \div \frac{6}{6x - 1} \\ \\ = \frac{2}{3x - 1} \times \frac{6x - 1}{6} \\ \\ = \frac{1}{3x - 1} \times \frac{6x - 1}{3} \\ \\ = \frac{6x - 1}{3(3x - 1)} \\ \\ = \frac{6x - 1}{9x - 3} [/tex]
Find the value of x.
Answer:
x = 30°
Step-by-step explanation:
< A = 90° {Being vertically opposite angles }
Now
x + 90° + 2x = 180° (Being linear pair)
3x = 180° - 90°
3x = 90°
x = 90° / 3
x = 30°
Hope it will help :)❤
278÷3 in one decimal place
Answer:
92.6! Hope this helps.
Step-by-step explanation:
-lei
10 points! Brain person too!
The stem-and-leaf plot shows mandy’s math test scores. What is the median of her test score?
A- 88
B- 87
C- 85
D- 84
Answer: C
Step-by-step explanation:
All the numbers are 78, 80, 83, 84, 84, 86, 89, 91, 95, 100. That’s because for each row, you take the number in the first column, and create each score by putting one of the numbers in the second column next to the first number. The median is the number in the middle if you were to put them out in order. I already listed the numbers in order, and the middle numbers are 84 and 86, so the find the middle of those, you add them together and divide by 2. You get 85, a.k.a. option C.
Tell me the definitions of the following vocabulary words:
quadrilateral:
parallelogram
trapeze:
rectangle:
diamond:
square: PLS HELP ME
Answer:
quadrilateral: a four-sided shape or figure and has four striaght sides
parallelogram: four-sided plane with oppisite paraell sides
trapezoid: a quadrilateral with one pair of parell sides
rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,
diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .
square: a quadrilateral with four equal sides. It is a rectangle and parallagram.
Hope that helped you! :)
Step-by-step explanation:
The vertices of a triangle MNP are M(5,6) , N(0,3) , and P(4,-2). What is the coordinate of the midpoint of the line connecting the midpoints of sides MN and MP
Answer:
(3.5, 3.25)
Step-by-step explanation:
Given the vertices of a triangle MNP as M(5,6) , N(0,3) , and P(4,-2).
Midpoint of MP is expressed as;
M(5,6) and P(4,-2).
Xmp = (5+4)/2
Xmp = 9/2
Xmp = 4.5
Ymp = (6-2)/2
Ymp = 4/2
Ymp = 2
Hence the midpoint of MP is at (4.5, 2)
Similarly for MN
M(5,6) , N(0,3)
Xmn = 5+0/2
Xmn = 5/2
Xmn = 2.5
Ymn = 6+3/2
Ymn = 9/2
Ymn = 4.5
Hence the midpoint of MN is (2.5, 4.5)
The coordinate of the midpoint of the line connecting the midpoints of sides MN and MP will be expressed as;
MN(2.5, 4.5) and MP (4.5, 2)
M = {(2.5+4.5/2, 4.5+2/2)}
M = (7/2, 6.5/2)
M = (3.5, 3.25)
Hence the required midpoint coordinate is (3.5, 3.25)
Two-step equation
2x+5x=-1
What's the answer for x=
Answer:
x=-1/7
Step-by-step explanation:
Combine like terms
7x=−1
Then you divide both sides by 7 and then you get x=-1/7 (fraction)
Hope it helps :)
The formula V = s3 give the volume V of a cube with side length s.
Answer:
8 inches cubed
Step-by-step explanation:
We get the formula in the task description:
V = s^3
The next sentence tells us s = 2in, so:
V = (2in)^3 = 8in^3
Answer:
8
Step-by-step explanation:
Formula: V = s³
Substitute: V = 2³
2³ = 2 · 2 · 2
Solve: V = 8
Help please, what's the interquartile range?
Amelia has 3 gallons of paint .Mason have 10 quarts .How many more pints of paint does AMELIA have then mason.
Answer:
4 Pints
Step-by-step explanation:
According to the scenario, calculations are as follows,
As we know, 1 gallon = 8 Pints
1 Quarts = 2 Pints
So, Amelia = 3 Gallons = 3 × 8 Pints = 24 Pints
Mason = 10 quarts = 10 × 2 Pints = 20 Pints
So, Number of more pints Amelia has = Amelia number of pints - Mason number of pints
= 24 pints - 20 pints
= 4 Pints
Failing please please
Answer:
A = 102m squared (Brainiest?)
Equation = b x h / 2
Step-by-step explanation:
A = (12 x 17) / 2
A = 204 / 2
A = 102m squared
Find the value of x.
(3x+20) º
12°
Answer:
x=32°
Step-by-step explanation:
2x+3x+20=180 co interior angle
5x=180-20
x=160/5=32°
Answer:
12°
Step-by-step explanation:
a straight line adds up to 180°
(3x+20)+2x=180
3x+2x+20=180
5x+20=180
5x=180-20
5x=60
5x/5=60/5
x=12
x=12°
Show all of your work. Simplify the expression: - 3a + 7 + 5a
Answer:
2a + 7
Step-by-step explanation:
-3a + 7 +5a
subtract the negative 3 from the 5
2a + 7
Answer: it would be 2a+7
Step-by-step explanation: Hope this help :D
Researchers are monitoring two different radioactive substances. They have 300 grams of substance A which decays at a rate of 0.15%. They
have 500 grams of substance B which decays at a rate of 0.37%. They are trying to determine how many years it will be before the substances
have an equal mass.
If Mrepresents the mass of the substance and trepresents the elapsed time in years, then which of the following systems of equations can be
used to determine how long it will be before the substances have an equal mass?
Answer:
231.59 years
Step-by-step explanation:
To model this situation we are going to use the exponential decay function:
f(t)= a (1-b)^t
where f(t) is the final amount remaining after t years of decay
a is the final amount
b is the decay rate in decimal form
t is the time in years
For Substance A:
Since we have 300 grams of the substance, a=300. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r = 0.15/100 = 0.0015. Replacing the values in our function:
f(t) = a (1-b)^t
f(t) = 300 (1-0.0015)^t
f(t) = 300 (0.9985)^t equation (1)
For Substance B:
Since we have 500 grams of the substance, a= 500. To convert the decay rate to decimal form, we are going to divide the rate by 100%:
r=0.37/100= 0.0037. Replacing the values in our function:
f(t) = a (1-b)^t
f(t)= 500 (1-0.0037)^t
f(t)=500(0.9963)^t equation (2)
Since they are trying to determine how many years it will be before the substances have an equal mass M, we can replace f(t) with M in both equations:
M=300(0.9985)^t equation (1)
M=500(0.9963)^t equation (2)
We can conclude that the system of equations that can be used to determine how long it will be before the substances have an equal mass, M, is :
{M=300(0.9985)^t
{M=500(0.9963)^t
4(x+2)=4x+8 need help
Answer:
True
Step-by-step explanation:
Any value of x makes the equation true
All Real numbers
(-∞)(∞)
Can one of you guys help me
Hope with a question
Answer:
(3,7)
Step-by-step explanation:
Please make original sentences with the words
-wallop
-diametrically
-luminous
Answer:
-"My step-dad's punch packs a wallop!"
-"The stars shining in the night sky were luminous."
-"The two diametrically opposed viewpoints of ketchup and mustard have been on war for decades."
Answer:
wallop:
daneil crashed on the floor with a wallop
diametrically:
"I regret to say we're diametrically opposed to your ideas", Jessica said to john
luminous:
i have a luminous clock in my room
Step-by-step explanation:
ILL GIVE BRAINLY TO WHOEVER HELPS ASAP
Answer:
a=-2,4
b=1,1
c=4,3
Step-by-step explanation:
b
A bill of $424 was paid with $5 bills and $2 bills. A total of 128 bills were used. How
many of them were fives?
Answer: 56
Step-by-step explanation:
Let the number of $5 be x
Let the number of $2 be y.
Based on the information given, we can form an equation as:
x + y = 128 ........ i
5x + 2y = 424 ....... ii
Multiply equation i by 2
Multiply equation ii by 1
2x + 2y = 256 ...... iii
5x + 2y = 424 ....... iv
Subtract iii from iv
3x = 168
x = 168/3
x = 56.
Therefore, there were 56 $5 bills.
answers r
6 units
7 units
8 units
9 units
Answer:
9 units
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
Susan estimated she would spend $250 on school clothes at the start of the school year. She actually ended up spending only $230. What was her percent of error in her calculations?
Answer:
8.7%
Step-by-step explanation:
the formula for % error is = [ (approx. - exact ) / exact ] x 100
so, we know the approx value was 250 while the exact one is 230
thus; [ ( 250-230 ) / 230 ] x 100
= 8.7%
The quadratic function is given in both its standard and factored form below
x²+2x-15=(x+5)(x-3) there is nothing to factoriz
Describe the translation between the blue pre-image and the Maroon image.
(Multiple Choice In image)
Step-by-step explanation:
D.. all points on blue are translated 7 units downwards
yolandas mother was born in 1975 how old is her mother ?
45 OR 46
It depends on which month and day she is born on in 1975.
If you want it from todays current date, she would be 46.
If her birthday is the 11 / 04 / 1975 (eleventh of April) - 31 / 12 / 1975 (thirty-first of December) then she is 45 years old. If her birthday has already passed in 2021 she is 46.
Solve for the value of t.
HELP!!
Answer:
28
Step-by-step explanation:
2x28 = 56 -7 = 49
my answer has to be 20 characters long so don't mind the sentence with words
Answer:
t= 27
Step-by-step explanation:
2t-7=49
+7+7
2t=56
t=27
Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate of a certain bacteria. For example, selecting the number 8 would mean that the amount of bacteria will be 8 times greater after every hour.
a. Suppose you start with one single bacterium. Make a table of values showing the number of bacteria that will be present after each hour for the first six hours using the hourly growth rate that you selected. Then determine how many bacteria will be present once 24 hours have passed.
b. Explain why this table represents exponential growth.
c. Using this example, explain why any nonzero number raised to a power of zero is equal to one.
d. Write a rule for this table.
e. Suppose you started with 100 bacteria, but they still grew by the same growth factor. How would your rule change? Explain your answer.
Answer:
bh
Step-by-step explanation:
Answer:
Answers are below
Step-by-step explanation:
Hour 0 1 bacterium
Hour 1 3 bacterium
Hour 2 9 bacterium
Hour 3 27 bacterium
Hour 4 81 bacterium
Hour 5 243 bacterium
Hour 6 729 bacterium
After 24 hours, the number of the bacterium will reach 282,429,536,481.
B) This table represents exponential growth because of the number of bacterium always being multiplied by 3.
C) The reason that any number to the zero power is one is that any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, 1.
D) Y = 1 + 3 to the power of x
E) The rule would change by having all of the numbers multiplied by 100 since there is 100 bacterium at Hour 0.
plz help
what´s [tex]\sqrt{100}[/tex]
THANK YOU!!
Answer:
10 is the answer of your question
What is the length of a segment with endpoints (2, 5) and (10, 11) *
•5 units
•8 units
•10 units
•14 units
Answer: 14 Units
Step-by-step explanation: Subtract (10-2) and (11-5)