Answer:
Option D
Step-by-step explanation:
Use Factoring Methods
[tex]4x^3-8x^2-9x+18\\[/tex]
put bracket around each 2 terms as such [tex](4x^3-8x^2)+(-9x+18)[/tex]
And then factor each respective bracket. We'll start with the first one
[tex](4x^3-8x^2) = 4x^2(x-2)[/tex]
Then do the other, and try to get similar brackets as the first
[tex](-9x+18)=-9(x-2)[/tex]
Since they are both simiar, the equation is now: [tex](4x^2-9)(x-2)[/tex]
Now factor the first bracket again for final result
[tex]4x^2-9=(2x-3)(2x+3)[/tex]
Ans when you put it all together, you get: [tex](2x-3)(2x+3)(x-2)[/tex]
Correct answer is option D
There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
with solution please :D
Answer:
30 are present 10 are absent
Step-by-step explanation:
75%=3/4
so 3/4 of them are absent
3/4(40)=30
and 40-30=10 are absent
A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.
The approximate population in 2016 is 91, 604 population
Let the time taken by the population to increase be "t"Let the number of the population be PThe exponential equation representing the statement is [tex]P=P_0e^t[/tex]
If in 2010 the population was 56,000, then at t = 0, P0 = 56000Substituting into the formula will give:
P = 56000If by 2012 the population had increased to 81,000, then:
81000 = 56000e^12k
81000/56000 = e^12k
1.4464 = e^12k
ln1.4464 = 12k
0.3691 = 12k
k = 0.3690/12
k = 0.03076
Get the prediction of the population in 2016.
[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]
Hence the approximate population in 2016 is 91, 604 population
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12 POINT HURRY PLEASE
Answer:
• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.
Step-by-step explanation:
[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]
If x approaches -∞;
[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]
If x approaches +∞;
[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]
Note: I'm taking my infinite value to be 1,000
Elton has 2 jobs and can work at most 32 total hours per week. He makes $9.00 per hour as a dog walker and $10.00 per hour as a store clerk. He wants to earn a minimum of $200 per week. Which is system of inequalities can be solved to find the possible combination of hours worked at each job that will help him to reach his goal?
Answer:
3-4 days
Step-by-step explanation:
So, if Elton works at each job for 5 hours, he will get $95. He would keep on doing this for 2-3 days. He would get $190 in total. The next day, he could get his $10 for being a store clerk. 190 + 10 = 200. And that's how Elton would make $200 in less than one week!
I need help with this answer PLEASE I’m stuck
Answer:
40% of airline A's flights were on time
Step-by-step explanation:
0.4=40% .the top row indicates that it was airline A. the left column indicates that it was on time.
Answer:
B
Step-by-step explanation:
happy holidays
Pure acid is to be added to a 10% acid solution to obtain 90L of 81% solution. What amounts of each should be used?
How many liters of 100% pure acid should be used to make the solution?
Answer:
Step-by-step explanation:
let X be the quantity of 100% acid
let Y be the quantity of 10% acid
X + Y = 90
Y = 90 - X
X(100) + Y(10) = 90(81)
X(100) + (90 - X)(10) = 90(81)
100X + 900 - 10X = 7290
90X = 6390
X = 71 L
First the first 4 term for 4n-5
Answer:
-1, 3, 7, 11
Step-by-step explanation:
First, let's find term 1. To find this term, we need to replace n with 1 - what is 4(1) - 5? Well, that's just 4 - 5, or -1. So, our first term is -1. Next, we'll find our second term. To do this, we'll replace n with 2. 4(2) = 8, and then 8 - 5 is equal to 3, so our second term is 3. Let's now find the third term by replacing n with the number 3. 4(3) - 5 is equal to 12 - 5, or 7. So, 7 is our third term. Finally, we'll find the fourth term. 4(4) is equal to 16, and 16 - 5 is equal to 11. So, the fourth and final term is equal to 11.
Hopefully that's helpful! :)
Step-by-step explanation:
Term 1: - 1
Term 2: 3
Term 3: 7
Term 4: 11
The rule is, where you see n, substitute with the position/term requested
First 4 terms are: - 1,3,7, 11
2x+7y+7x=18
Find the value of Y
Answer:
y=−9/7x+18/7
Step-by-step explanation:
2x+7y+7x=18
9x+7y=18
Step 1: Add -9x to both sides.
9x+7y+−9x=18+−9x
7y=−9x+18
Step 2: Divide both sides by 7.
7y/7=−9x+18/7
y=−9/7x+18/7
Given :
2x + 7y + 7x = 18To Find :
The value of ySolution :
[tex]\qquad { \dashrightarrow \: { \sf{2x + 7y + 7x = 18}}}[/tex]
Adding the like terms :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y + 9x = 18}}}[/tex]
Transposing 9y to the other side which then becomes negative :
[tex]\qquad { \dashrightarrow \: { \sf{ 7y = 18 - 9x}}}[/tex]
Dividing both sides by 7 :
[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{7y}{7} = \dfrac{18 - 9x}{7} }}}[/tex]
[tex]\qquad { \dashrightarrow \: { \sf{ y = \dfrac{18 - 9x}{7} }}}[/tex]
⠀
Therefore, the value of y = 18 – 9x/7 .
what is equivalent to 1 and 5/6?? and what is 3 and 1/6 equivalent to?
Answer: 1.833 and 3.167
Step-by-step explanation:
1 and 5/6 is demonstrated with this equation:
[tex]1 + \frac{5}{6} , \\\\\frac{6}{6} + \frac{5}{6} = \frac{11}{6} = 1.833\\[/tex]
3 and 1/6 is demonstrated with this equation:
[tex]3 + \frac{1}{6}, \\\\\frac{18}{6} + \frac{1}{6} = \frac{19}{6} = 3.167[/tex]
Company A makes 20 notebooks in 4 hours. Company B make 28 notebooks in
3 hours. Write a statement comparing the number of notebooks made per
hour.
Elements that do not belong to a set belong to its
Answer:
What do you mean for this question?
Step-by-step explanation:
Give specific details
Help me with writing a check please
Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars
Step-by-step explanation:
What of the following exponential functions is represented by the data in the table?
A) f(x)=(1/3)^3
B) f(x)=3^x
C) f(x)=x^3
D) f(x)=x1/3
Answer:
f(x) = ( 1/3) ^ (x)
Step-by-step explanation:
The function is
f(x) = (1/3) ^ (x)
When x = 1 f(x) = 1/3
when x=2 f(x) = 1/9
When x = -1 f(x) = ( 1/3) ^ -1 = 3/1 =3
Answer:
f(x)=(1/3)^x
Step-by-step explanation:
Plug in the given values of x in the function above and match the answers with f(x) which is y.
Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
540 last week
52X540.=$28,080 a year
Step-by-step explanation:
A square is a quadrilateral with four equal sides and four 90 degree angles. Is quadrilateral ABCD a square?
Answer: yes
Step-by-step explanation:
Help help help help help math
Step-by-step explanation:
don't panic. just breathe and think logically.
why would these angles be different ? how could they be different ?
right : they cannot be different. otherwise the 2 horizontal lines would not be parallel.
so, yes, indeed, these 2 angles are identical.
3x + 2 = 2x + 6
x = 4
that's it.
If a = 0.3 and b =0.5, what is the value of a+b?
A. [tex]\frac{8}{10}[/tex]
B. [tex]\frac{8}{9}[/tex]
C. [tex]\frac{80}{99}[/tex]
D. [tex]\frac{88}{100}[/tex]
Answer=
D
Step-by-step explanation
because of the dot/line at the top of the number it means it is a continuous same number
for example, 0.3 with a dot/line on top means it is 0.333333...
so 0.55...+0.33...=0.88...
and as it is a decimal that is in the range of 1-100 its like a percentage so it is 88/100
Planet Q Is 3.6 x 10^6km
Planet R Is 1.6 x 10^7km
What Is The Shortest Distance Between Planet Q And R (Answer In Standard Form)
I've Been Stuck On This Question For A Vast Amount Of Time.
Answer:
1.64×10⁷ km
Step-by-step explanation:
We know this is a triangle rectangle, so we apply the Pythagorean Theorem
QR=sqrt(PR²+PQ²)
Solving it, we will encounter in
sqrt(2.56×10¹⁴+1.296×10¹³)
to solve it, we need to bring the two numbers at the same power of ten, so we move 1.296 of one place to the left:
sqrt(2.56×10¹⁴+0.1296×10¹⁴)
we can now add the two numbers:
sqrt(2.6896×10¹⁴)
to solve this, we do the square root of 2.6896 and divide 14 by two (the index of the root is 2, so for roots' properties we can divide 14 by 2 - the index)
which gives us
1.64×10⁷
How many times do 5 go into 32
Answer:
6 times or 6.4
Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
Pls look at photos I’ll give 30 points
Rewrite in simplest terms: (-9x + 7y) - (-9x + 5y)
Answer:
3y
Step-by-step explanation:
(-9x+7y)-(-9x+5y)
Distribute the negative(-)
-9x+7y+9x-5y
-9 and 9 cancel each other
3y
The simplest terms of the given expression (-9x + 7y) - (-9x + 5y) will be 2y.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
As per the given expression,
(-9x + 7y) - (-9x + 5y)
Open the bracket
-9x + 7y + 9x - 5y
Combined likely terms together
-9x + 9x + 7y - 5y
0 + 2y = 2y
Hence "The formula (-9x + 7y) - (-9x + 5y) will have 2y as its simplest terms".
To learn more about expression,
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Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl
Answer:
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
Step-by-step explanation:
m is an SI prefix for milli-, meaning 1/1000.
c is an SI prefix for centi-, meaning 1/100.
Expressed in liters, these volumes are ...
0.10 l
0.50 l
1000/1000 l = 1.00 l
10/1000 l = 0.01 l
15/100 l = 0.15 l
In order from smallest to largest, they are ...
0.01 l, 0.10 l, 0.15 l, 0.50 l, 1.00 l
In the original units, the order is ...
10 ml, 0.1 l, 15 cl, 0.5 l, 1000 ml
A speed skater completes a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?
Find the number of meters a speed skater and a cheetah travel in 1 second.
A speed skater travels (blank) meters per second.
A cheetah travels (blank) meters per second.
Find m
∠
J
L
K
∠JLK.
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
In 2004 5,545 woman were participating in college lacrosse and in 2008 6,830 woman joined was is the rate of change
Answer:
321.25 per year
Step-by-step explanation:
In 2004 they had 5,545
In 2008 they had 6,830
Subtract them both and you get 4 years, 1285 people
Divide 1285 by 4 and get 321.25 per year.
A movie theater charges $9.75 per ticket. Monday through Thursday they make on average $2720.25 daily. How many
customers do they have on an average Tuesday?
a. 279 customers
c. 70 customers
b. 272 customers
D. 26552 customers
Answer:
Your anwser would be A mark brainliest please and thank you
Step-by-step explanation:
Un
número formado por 22 centenas,
515 unidades 1765 décimas, ¿cuantas
milésimas tiene?
Hay cero milésimas en los parámetros dados.
El valor posicional se refiere al valor representado por un dígito en un número sobre la base de su posición en el número.
De los parámetros dados:
22 centenas ⇒ 2200515 unidades ⇒ 5151765 décimas ⇒ 176.5Si sumamos los valores juntos, podremos determinar la cantidad de milésimas que tenemos:
= 2200+515+176.5
= 2891.5
Por tanto, podemos concluir que hay cero milésimas en los parámetros.
Obtenga más información sobre el valor posicional aquí:
https://brainly.com/question/559183
A new health drink has 190% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg. How many milligrams of the vitamins are in the drink?
There is 95mg of vitamins in the drink
Percentages and proportionIf a new health drink has 190% of the recommended daily allowance (RDA) for certain vitamins and the RDA for this drink is 50mg.
The amount of milligrams of the vitamins in the drink is expressed as shown:
A = 190 % of 50mg
A = 1.9 * 50
A = 95mg
Hence there is 95mg of vitamins in the drink
Learn more on percentages https://brainly.com/question/25793394
Answer:
There is 95mg of vitamins in the drink
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation: