Answer:
The solution of [tex]x^3-2x^2+16x-32=0[/tex] is [tex]\mathbf{x=2,x=4i,x=-4i}[/tex]
So, the real solutions is: x = 2
Imaginary solutions are : x = 4i, x = -4i
Step-by-step explanation:
We need to find real and imaginary solutions to the equations [tex]x^3-2x^2+16x-32=0[/tex]
First of all we will make groups
[tex](x^3-2x^2)(+16x-32)=0[/tex]
Finding common terms from the groups
[tex]x^2(x-2)+16(x-2)=0\\(x-2)(x^2+16)=0[/tex]
Now we know that if ab=0 then a=0 , b=0
[tex]x-2=0, x^2+16=0\\Simplifying:\\x=2, x^2=-16\\Taking\: square\: root\\x=2,\sqrt{x^2}=\sqrt{-16}\\x=2, x=\pm\sqrt{-16}\\x=2,x=\m\sqrt{-1}\sqrt{16} \\We\:know\:\sqrt{-1}=i \:and \sqrt{x} \:\sqrt{16}=4 \\x=2,x=\pm4i\\x=2,x=4i,x=-4i[/tex]
The solution of [tex]x^3-2x^2+16x-32=0[/tex] is [tex]\mathbf{x=2,x=4i,x=-4i}[/tex]
So, the real solutions is: x = 2
Imaginary solutions are : x = 4i, x = -4i
HELPPPP I only have one try left!!
PEMDAS!!!
Answer:
39
Step-by-step explanation:
The answer is = 39
1 to the pwer of 1 = 1
3 to the power of 3 = 27
When asked to find the value of x for
which f(x)=17, Danny answered 39. What
mistake did Danny make? What is the
correct answer?
Answer and Step-by-step explanation:
We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.
If f(x) = 17, then
3x + 2 = 17, to find the value of x, we have solve for x in the equation.
3x = 17 – 2
3x = 15
x = 5
This is the method that can be used to solve problems of this nature.
Juarez scored 32 points in a basketball game. He scored twice as many baskets worth 3 points than baskets worth 2 points. How many baskets did he score worth 3 points and how many did he score worth 2 points?
A. 8 baskets worth 3 points each and 4 baskets worth 2 points each
B. 6 baskets worth 3 points each and 7 baskets worth 2 points each
C. 10 baskets worth 3 points each and 1 basket worth 2 points
D. 4 baskets worth 3 points each and 10 baskets worth 2 points each
I'LL GIVE 15 POINTS
Answer:
8, 3 pointers =24 points 4, 2 pointers = 8points 24+8= 34 points
Step-by-step explanation:
Answer:
8 baskets worth 3 points each and 4 baskets worth 2 points each
Step-by-step explanation:
It is 8 baskets worth 3 points each and 4 baskets worth 2 points each because it says Juarez scored twice as many baskets worth 3 points than the baskets worth 2 points. 4 x 2 = 8
-----------------------------------------------------------------------------
6 baskets worth 3 points each and 7 baskets worth 2 points each : wrong because 7 x 2 = 14.
10 baskets worth 3 points each and 1 basket worth 2 points : wrong because 1 x 2 = 2.
4 baskets worth 3 points each and 10 baskets worth 2 points each: wrong because 10 x 2 = 40.
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Mike has a credit rating of 720. Tyler has a credit rating of 560. Mike and Tyler apply for identical loans from Park Bank. Mike is approved for a loan at 3.2% interest, and Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating. What interest rate is Tyler charged?
Answer:
6.2%
Step-by-step explanation:
Credit rating is an evaluation of the credit risk of a borrower, that how often a person is going to repay their debt, by credit rating it predicts the ability of the debtor to payback.
Mike has credit rating = 720
Tyler has credit rating = 560
Both are approved for loan. Mike's Credit score is higher, which means he is a much safer debtor as compared to Tyler. Mike will be able to pay back much easily than Tyler. Therefore Mike interest rate is 3.2%
Interest rate of Tyler is higher as he is not that trusted and has low Credit rating. Tyler is approved for a loan that charged 3 percentage points higher because of his inferior credit rating so it interest on the loan will be
Interest = 3.2%+3% = 6.2%
Answer: 45
Step-by-step explanation:
swimming pool is being filled with a hose. The hose fills the pool at a constant rate. The pool's water level rises 4 inches in hours. What rate per hour of the water level change?
The required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.
Given that,
The swimming pool is being filled with a hose.
The pool's water level rises 4 inches in hours.
To determine the rate per hour of the water level change.
Here,
Let 1 level of pool = 1 feet = 12 inches
The pool's water level rises 4 inches in hours. So, ti will rises 12 inches in 3 hours, which implies level change after 3 hours
Now the rate of level change of water = 1 / 3 level per hour
Thus, the required rate of the level of change of water in the swimming pool is 1 / 3 level per hour.
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Need a little help <33
Answer:
64 inches
Step-by-step explanation:
162.56 / 2.54
Answer:
64 inches162.56/2.54=64
ASAP PLS HELP ME WITH THIS ANYONE PLS
Answer:
The area is 1,725 ft²
Pls help ill give brainliest.
Do all 3 to get brainliest pls
Problem 1
A = length times width
A = w(w + 0.6)
A = w^2 + 0.6w
Answer choice D.
Problem 2
16/9 = 42/x
9(42) = 16x
378 = 16x
378/16 = x
23.625 = x
Answer choice C.
Problem 3
f(-5) = 4(-5) + 3
f(-5) = -20 + 3
f(-5) = -17
Answer choice B.
Maria has $50 in a savings account in week 1. She plans on depositing $8
each following week. What will be her account balance after 52 weeks?
Answer:
466
Step-by-step explanation:
50 + 8*52 = 466
Multiply and Simplify
√98 x √32
Answer:
The Answer is 56
Step-by-step explanation:
[tex] \sqrt{98} \times \sqrt{32} = 56[/tex]
the square root of 98 is 9.89 continuous
the square root of 32 is 5.65 continuous so when you put it into calculations you should get 56
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's your solution ~
[tex]\qquad \sf \dashrightarrow \: \sqrt{98} \times \sqrt{32} [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{2 \times {7}^{2} } \times \sqrt{2 {}^{5} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{2 {}^{6} \times {7}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {2}^{3} \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \: 8 \times 7[/tex]
[tex]\qquad \sf \dashrightarrow \: 56[/tex]
Helppp find the solution to this equation 2x+4y=8. x=3y-6 What do x and y  equal
Answer:
y = 2, x = 0
Step-by-step explanation:
2x + 4y = 8
x = 3y - 6
2x + 4y = 8
2 ( 3y - 6 ) + 4y = 8
10y - 12 = 8
10y = 20
y = 2
x = 3y - 6
x = 3 ( 2 ) - 6
x = 0
Caroline’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?
Answer:
Alright! First you'd have to subtract the flat fee of the mug which is $8.95, then you'd have to divide by the rate which is $1.50. Your equation would be:
(26.95 - 8.95) ÷ 1.50 = r
Then you solve using your head.. lol.
(26.95 - 8.95) = 18.
(18 ÷ 1.50) = 12.
R = 12.
Answer:
12
Step-by-step explanation:
If you take a number multiply by 5 then takeaway 9, You get the same as if you took the number multiply by 4 then plus 1. What is the number?
Answer:
10
Step-by-step explanation:
Set it up algebraically first. Let x be that unknown number
5x - 9 = 4x + 1
5x = 4x + 10
x = 10
So the number is 10
please help me fast please hurry
Please HELPPPPP MEEEEEEEEE !!!!!!!!! I will mark Brianliesttttt correct answerrrrr !!!!!!!!!!!!!!!!
Answer:
14 sqrt(2)
Step-by-step explanation:
8^2 + sqrt(34)^2 = c^2
=> 64 + 34 = c^2
=> 98 = c^2
=> c = 14 sqrt(2)
Hope this helps! :3
plz mark as brainliest!
What do i put for the bottom portion I’m confused plz help
Answer:
180°
Step-by-step explanation:
In all triangles, the measure of its three angles always adds up to 180. Therefore, the m∠UWV is 180°.
:Done
2x + y - z = 15
4x - 3y + 7z = -11
X + y + z = 2
solve the system of equations
Answer:
The given system of equations is :
2x + 3y + 5z = 1 -> eq. (1)
3x + 2y + z = 5 -> eq. (2)
Multiplying eq. (1) with 3 and eq. (2) with 2, we get :
6x + 9y + 15z = 3 -> eq. (3)
and, 6x + 4y + 2z = 10 -> eq. (4)
respectively.
Subtracting eq. (4) from eq. (3) :
5y + 13z = -7 -> eq. (5)
Multiplying eq. (1) with 2 and eq. (2) with 3, we get :
4x + 6y + 10z = 2 -> eq. (6)
and, 9x + 6y + 3z = 15 -> eq. (7)
respectively.
Subtracting eq. (7) from eq. (6) :
-5x + 7z = -13 -> eq. (8)
Let z = t, where t is a parameter.
We can write eq. (5) and eq. (8) as :
5y + 13t = -7 & -5x + 7t = -13
i.e., 5y = -7 - 13t & 5x = 13 + 7t
y = -(7/5) - (13t/5) & x = (13/5) + (7t/5)
Therefore, the solution for the given system of equations is :
x = (13/5) + (7t/5)
y = -(7/5) - (13t/5)
z = t
where, t can take any value.
Step-by-step explanation:
24 hour fitness charges $250 as a registration fee and $15 per month. How much would you pay to be a member of 24 hour fitness for a year?
Answer:
430 dollars per year
Step-by-step explanation:
The formula to use is...
C=250+15x
C is the cost per year
250 is the flat fee
15 is the cost per month
x is the number of months
You earn $9 per hour. Which equation shows the relationship between the time worked in hours, t, and the money earned in dollars, m?
a) t = 9m b) m = 19t c) m = 9t d) m = -9t
Answer:C
Step-by-step explanation:
c amount made in hour (9) times the number of hours workd (t) equals m
9t=m for example you work 5 hours 9(5)=45 so the answer is c m=9t
Question is below.
Math
Answer:
B
Step-by-step explanation:
2x+3y=12
3y=12-2x
y=-2/3x+4
B
Hope this helps plz hit the crown :D
can someone help answer this? i’ll mark brainliest :)
Answer:
A is correct
Step-by-step explanation:
answer and you'll get brainliest!
Answer:
part b
Step-by-step explanation:
denominater remains same,numerater will add up
1+1+1+1+1+1+1=7
hence
it will become 7/8
You spin the spinner once.
8
7
9
6
4
5
What is P(even)?
Write your answer as a fraction or whole number.
Answer:
2/3
Step-by-step explanation:
There are 4 numbers and 6 possible values the spinner can land on
P(even) = 4/6 = 2/3
7. -50 + 5 p 13
(p= -26)
will give 5 stars
-17.6
Because
50 + 5/13 x -26
50+2.6 x -26
50 + -67.6
-17.6
two variables that move in opposite directions are: a. said to have a positive correlation. b. called independent variables. c. said to have zero correlation. d. said to be inversely related.
Two variables that move in opposite directions are said to be inversely related.
A negative correlation is a relationship between two variables that move in opposite directions. In other words, when variable A increases, variable B decreases. A negative correlation is also known as an inverse correlation.
The concept of negative correlation is important for investors or analysts who are considering adding new investments to their portfolio. When market uncertainty is high, a common consideration is re-balancing portfolios by replacing some securities that have a positive correlation with those that have a negative correlation.
Here are some common examples of a negatively correlated relationship between assets:
1. Oil prices and airline stocks
2. Gold prices and stock markets (most of the time, but not always)
3. Any type of insurance payoff
To know more about " Negative Correlation"
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Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.
3x + 2y = 0
x - 5y = 17
What is the value of x in the solution to this system of equations?
3x−6y=45
y=−2x+5
What is the answer for a
Roda ran 89 feet down the sideline of a football field. How many yards did Roda run?
A. 29.6 yard
B. 267 yards
C. 0.3 yards
D. 23 yards
Answer:
looks like it's 29.6 yards
Noah had $5.25 and Lin had $8.95. How much did they have altogether? Group of answer choices $ 3.70 $ 46.99 $ 14.20 $ 14.10
Answer:
C. $14.20
Step-by-step explanation:
I got this answer because $8.95 plus $5.25 equals $14.20.
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