Root x= 3 of multiplicity 2, it means we can factor it with : (x-3)²
Root x = 1, of multiplicity 1, it means we can factor this polynomial with : (x-1)
Root x = -3, of multiplicity 2, it means we can factor this polynomial with : (x+3)²
Finally we get this expression : (x-3)²(x+3)²(x-1)
This expression is a polynomial of degree 5 but what is the y intercept of it ?
Basically, we need to replace x by zero and the value of the expression will be the y intercept :
let x = 0
then ,
(0-3)²(0+3)²(0-1) = 9*9*(-1) = -81 #-162
We need an y intercept of value = -162
Thus we simply need to multiply by 2, and finally f(x) = 2(x-3)²(x+3)²(x-1)
satisfies all the required condition
Good Luck
Solve for x + (1/x):
3x + (2/x) - 4 = 2(x+9) - (7 - (1/x))
Answer:
Step-by-step explanation:
Hi, I'm going to be starting homeschooling most likely from 7th to 12th Grade mainly due to my Public School failing me miserably and C0vid. I was curious if anyone could recommend me any home-schooling programs? All I'm looking for in a home-school is one that's easy in math or one that potentially has a lot of multiple-choice questions as obviously i will be using this website a lot to help me get through the stuff i don't exactly fully understand. All replies are GREATLY appreciated, Thank you so much.
Answer:
I use connexus :)
Step-by-step explanation:
what equation is equivalent to 7-2x=5
Answer:
x = 1New equation: 7 - 2 = 5Step-by-step explanation:
7 - 2x = 5=> 7 - 5 = 2x=> 2 = 2x=> x = 1Conclusion:
Since:
x = 1Our new equation will be 7 - 2 = 5
Hoped this helped.
Hey there!
7 - 2x = 5
-2x + 7 = 5
SUBTRACT 7 to BOTH SIDES
-2x + 7 - 7 = 5 - 7
CANCEL out: 7 - 7 because that gives you 0
KEEP: 5 - 7 because it helps solve for the x-value
NEW EQUATION: -2x = 5 - 7
SIMPLIFY IT!
-2x = -2
DIVIDE -2 to BOTH SIDES
-2x/-2 = -2/-2
CANCEL out: -2/-2 (on the LEFT SIDE) because that gives you 1
KEEP: -2/-2 (on the RIGHT SIDE) because it helps you solve for the x-value
NEW EQUATION: x = -2/-2
SIMPLIFY IT!
x = 1
Therefore, your answer should be: x = 1
Checking to make sure it is correct!
-2x + 7 = 5
-2(1) + 7 = 5
-2 + 7 = 5
So, this makes this statement TRUE
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
PLEASE HELP !!!
x^2-34=16x
Answer:
Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer: x = 18 or x = -2
Step-by-step explanation: DONT TRUST THIS THOUGH
Question 7 of 10
Which of the following graphs shows a positive linear relationship with a
correlation coefficient, r, close to 1?
A.
B.
c.
D.
*
A. Graph A
B. Graph B
C. Graph
O D. Graph D
What is the percent of change from 600 to 30?
Answer:
Percent change = 600 - 30 |30| × 100% = 570 30 × 100 = 1900% (increase). Where: 30 is the old value and 600 is the new value.
Step-by-step explanation:
a) write the measurement 3086 ml into the place value table below
1) what is 3086 ml into liters
b) write the measurement 9 cm into the place value table below
1) what is 9 cm in mm
2) what is 9 cm in m
Answer:
3086 ml ÷ 1000 = 3.086
9 cm × 10 = 90mm
9 cm ÷ 100 = 9m
how do I solve it? I don't know how, I can't remember and I don't have my notes
Answer:
-2
Step-by-step explanation:
[tex]\frac{(-2)^3+3 (4)}{-8+6}[/tex]
[tex]= \frac{-8 + 12}{-2}[/tex]
[tex]= \frac{4}{-2}[/tex]
[tex]= -2[/tex]
Answer:
2.3
Step-by-step explanation:
First we must get rid of the exponent, which is that little 3 at the top.
To do this, we will do:
(-2) × (-2) × (-2) = -8
Now we have -8 + 3.4, which equals -4.6
Next we will combine the numbers in the denominator, to get -2.
Now, all together, we have -4.6/-2.
Last but not least, we will divide -4.6 by -2, to get 2.3
And that's your answer, hope this helps you :)
Sorry if it doesn't, though.
Define
Rough calculating
Answer:
A rough calculation or guess is approximately correct, but not exact. roughly adverb.
Step-by-step explanation:
An account earns simple interest. Find the annual interest rate. I = $60 P = $500 t = 2 years The annual interest rate is %. 10
Answer:
100
Step-by-step explanation:
A = P(1 + rt)
A = 500(1 + (0.1 × 2)) = 600
A = $600.00
600-500= 100
Name the property of arithmetic used to rewrite the numeric statement. ( 6 + 3 ) + 21 − 8 = 6 + ( 3 + 21 ) − 8 A. Associative property of addition B. Associative property of multiplication C. Distributive property
The arithmetic property used to rewrite the numeric statement is:
A. Associative property of addition
The statement is:
( 6 + 3 ) + 21 − 8 = 6 + ( 3 + 21 ) − 8
In it, the order of the parenthesis is changed, which is the associative property of addition, which states that changing the grouping(order of parenthesis) of the terms does not change the sum.
Hence, the correct option is A.
For more on arithmetic properties, you can check https://brainly.com/question/4343927
Translate the phrase into an algebraic expression: 12acorns per qsquirrels?
Answer:
12/q acorns/squirrel
Marie bought 1/2 gallon of milk, which she finished after 6 days, If she drank the same amount of milk each day, how many gallons in a day did she drink?
Answer:
Marie drunk 0.083 gallons of milk each day
Simplify: Square root 25ab^6 help please
Answer:
5 b^ 3 √ a
Step-by-step explanation:
Break up the radicand up into a product of known factors assuming positive real numbers.
A customer purchased 3 pairs of jeans for $94.50. If each pair of jeans costs the same amount, write an equation and then solve for the amount a single pair of jeans costs
Answer:
One pair of jeans will cost $31.50
Step-by-step explanation:
To find how much one pair of jeans will cost let's write an equation
where the cost of one pair of jeans is x
∴ 3×x=94.50
to find x we will divide both sides by 3
∴3÷3×x=94.50÷3
which makes the equation
∴x=31.50
meaning that one pair of jeans costs $31.50
Camry has 612 photos she needs to put
into albums. If each album holds 36
pictures, how many albums will it take
to hold all the photos?
Answer:
36 = 1
612 =?
(612×1)
----------
36
=17
Write 6,070,000 in expanded form.
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
how about these are they correct?
-355 - 165 = - (355+165) = -520
-150 - 126 = - (150+126) = -276
-201 - 124 = - (201+124) = -325
P/s: they are wrong. you need this " () "
ok done. Thank to me :>
which statement about decision making analysis is false
Answer: Id personally say D
Step-by-step explanation:
22. PLEASE HELP PLEASSSSSSEEEEEEEEEEEEEEE
15 points
Answer:
Step-by-step explanation:
2
two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5
evaluate g(-2)+f(3)
Answer:
...
Step-by-step explanation:
HELP ASAP! QUICK ALGEBRA 20 POINTS!!!!!!! WILL AWARD BRAINLIEST
Answer:
On the first image: if 45 divides the number, it means you can rewrite it as 45 times something. Let's play with powers of 9 to see if you can make a 45 or rewrite it as a product of a power of 9 and a power of 5.
On the second and third images, it's just a matter of collecting common factors. I collected the minus sign so the parenthesis starts with a positive term, but it's a matter of personal preference.
I need help with this one. I will give someone brainliest.
Drag each statement on the left to the correct word on the right to tell whether each is true or false. The words "True" and "False" may be
used more than once.
1/ When rounding, you usually round to the closest number.
2/ When a number is halfway between the two possible numbers, round down to the
smaller number.
3/ When a number is halfway between the two possible numbers, round up to the
greater number.
4/ If you are rounding 897 to the nearest hundred, 890 and 900 are the two possible
numbers you choose between based on whether you are rounding up or down.
1. True
2. False
3. True
4. False
What is rounding?Rounding represents replacing a numeral with an approximate value that includes a shorter, easier, or more explicit representation.
Rounding suggests making a number simpler but keeping its value close to what it existed.
Hence,
1. True
2. False
3. True
4. False
To learn more about rounding refer to:
https://brainly.com/question/27207159
#SPJ2
i need help with number 5
How do the 2s in 12.5 and 0.912 compare?
A The value of the 2 in 12.5 is 11,000 the value of the 2 in 0.912.
B The value of the 2 in 12.5 is 1100 the value of the 2 in 0.912.
C The value of the 2 in 12.5 is 10 times the value of the 2 in 0.912.
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912.
Answer:
D The value of the 2 in 12.5 is 1,000 times the value of the 2 in 0.912
Step-by-step explanation:
The value of a digit in a number can be found by setting the other digits to zero.
The value of 2 in 12.5 is 2.
The value of 2 in 0.912 is 0.002.
The ratio of values is 2.000/0.002 = 2000/2 = 1000.
The value of 2 in 12.5 is 1000 times the value of 2 in 0.912.
Answer:
D
Step-by-step explanation:
The answer is D
Can someone help me?
Answer:
just make something that is eqivalant to 4= or 14=
Step-by-step explanation:
Temperature differences are caused by the differences in air warming from the?
1. Solar Radiation
2. Earth Convection
3. Solar Conduction
Answer:
1 solar radiationnnnnmnnmnnnnn
HELP! Due in 5 minutes
ANSWER:
the first one: 30x+48
The second one: x y^2(10 y + 15)
The third one: 30 x y - 5 x^2
Hope this helped!
sorry if im wrong. :)
GOOD LUCK!! <3