The quadratic function f(x) has real coefficients. Given that f(3 - 2i) = 0, what must be the
other solution to the equation f(x) = 0 ?
Answers
Answer:
Option (C)
Step-by-step explanation:
Conjugate root theorem:
If (a - bi) is a root of a polynomial with real coefficients, then (a + bi) will be the other root.
By this theorem, if (3 - 2i) is one root of the quadratic function 'f', other root will be (3 + 2i).
Therefore, x = (3 + 2i) will be the other root.
Option (C) will be the answer.
Related Questions
The weight, y, in pounds, of puppies was tracked for the first 10 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 2.3 + 5.73t. Collin wanted to predict the weight of a puppy at 14 weeks.
What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answers
Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
The solution is Option C )
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
What is Linear model?
A linear model is a model in which the terms are added, such as has been used so far in this section, rather than multiplied, divided, or given as a non-algebraic function. Linear modeling can predict the behavior of complex systems or analyze experimental, financial, and biological data.
Linear regression is a statistical method used to create a linear model. The model describes the relationship between a dependent variable y (also called the response) as a function of one or more independent variables Xi (called the predictors).
Given data ,
Weight of the puppies = y pounds
Number of weeks after birth = t
Linear model representing the relationship between weight of puppies and time after birth in weeks is y = 2.3 + 5.73t
This is a clear idea of Linear models because the data describe a continuous response variable as a function of one or more predictor variables.
Hence , this is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
To learn more about linear modeling click :
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i don’t understand this question at all, help?
Answers
Mary bought a shirt on sale for $15.00. The sales tax was 10%. If Mary paid with a $20 bill, what was her change?
A-$4.90
B-$5.00
C-$3.50
D-$1.50
Answers
Answer:
Her change was: $3.5
Step-by-step explanation:
Mary bought a shirt on sale for $15.00.
As the sales tax was 10%.
i.e. 10/100 × 15 = $1.5
so the sales tax on $15.00 was $1.5.
Hence, the total cost Mary had to pay to buy the shirt was:
$1.5 + $1.5 = $16.5
As Mary paid with a $20 bill, therefore the change can be calculated as
20 - 16.5 = $3.5.
Therefore, her change was: $3.5
6/3 + ( -1/6) =
I dont know the answer help please
Answers
Answer:
The answer is 11/6! Hope this helped!
Steps:
6/3 + (-1/6)
apply rule --> a + (-b) = a - b
6/3 + (-1/6) = 6/3 - 1/6
= 6/3 - 1/6
6/3 = 2
= 2 - 1/6
2 = 6 x 2 over 6
= 6 x 2 over 6 - 1/6
= 12/6 - 1/6
apply fraction rule --> a/c - b/c = a - b over c
12/6 - 1/6 = 12 - 1 over 6
= 12 - 1 over 6
= 11/6
How do you solve for this ?
Answers
Who wants to be my gamergirl
Answers
Answer:
Well I'm not a girl soo No.
Step-by-step explanation:
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
3(x-4)>15
Answers
Answer:
x>9
Step-by-step explanation:
x−4>
3
15
x−4>5
x>5+4
x>9
What is an equation of the line that passes through the points (1,8) and (-1, -2)?
Put your answer in fully reduced form.
Answers
Answer:
y=5x+3
Step-by-step explanation:
First, we need to find the slope. Remember that the slope equation is [tex]m=\frac{y2-y1}{x2-x1}[/tex].
If we plug in the given points we get m=5. (let me know if you need further elaboration on this step)
So now that we have a slope, we can plug it into the slope-intercept equation.
y=mx+b
y=5x+b
We still need to find b (y-intercept), but luckily, we were given two points that we could plug in. I'm going to use (1,8) here.
8=5(1)+b
8=5+b
b=3
Now we have all of our parts and can put them into the equation.
y=5x+3
Hope this helped!
Plz help don’t understand this question and I got it wrong an i have to redo it
Answers
Answer:
its B
Step-by-step explanation:
PLSSSS HELP ME I WILL GIVE BRAINLY
Answers
The price of an item yesterday was $80. Today, the price rose to $116. Find the percentage increase.
Answers
Answer:
That is a 45% increase
Step-by-step explanation:
let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for g. g(x)=___
Describe the two types of transformations that occur between function f and function g. (use words like up, down, left, right, compression or stretch in your answer.)
Answers
Answer:
g(x) = [tex]4^{(x-1)}+3[/tex]
Step-by-step explanation:
Given exponential function is,
f(x) = [tex]4^{x}[/tex]
If the given function is shifted 1 unit to the right,
h(x) = f(x - 1)
= [tex]4^{(x-1)}[/tex]
If the function 'h' is shifted 3 units up,
g(x) = h(x) + 3
= [tex]4^{(x-1)}+3[/tex]
Therefore, transformed function will be,
g(x) = [tex]4^{(x-1)}+3[/tex]
Compare the pair of fractions. Use < =, or >
2 3/4 ____ 2 4/6
Answers
Answer:
2 3/4 > 2 4/6
Step-by-step explanation:
Answer:
2 3/4 < 2 4/6
Step-by-step explanation:
brainlist plz thx
Solve the following system by substitution.
22.
X + 2y = 0
-3-4=-2
4y = -2
A (2, -1)
B. (2, 1).
C. (4, -1)
D. (-2, -1)
Answers
Answer:
D
Step-by-step explanation:
surely and i think it's correct
Answer:
D is the correct answer
Step-by-step explanation:
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$10.00
5%
?
The sales tax is $
Enter your answer in the answer box and then click Check Answer
Answers
Answer:
$0.5
Step-by-step explanation:
10*0.05 = 0.5 dollars
Answer:
.50
Step-by-step explanation:
Selling price x sales tax rate = sales tax
10 x .05 (5%) = .50
Solve for x.
18 ÷ x = -2
x =
Pls help / I need answers ASAP / I will give u 5 stars and a thank u on ur answer
Answers
Answer: -9
18/x = -2
⇔ x = 18/(-2)
⇔ x = -9
Step-by-step explanation:
if there are 3 friends with 80 brothers each, and the brothers each have 25 sisters, and those sisters had 83 dogs. How many people are ded?
Answers
Answer:
it never said how many people died, so 0, because if they lived long enough as together with 80 brothers, plus 25*80 sisters, then no one dies exept the mothers womb and the parents bank account
Step-by-step explanation:
WOULD THIS BE RIGHTTT PLEASE NO BS
Answers
Answer:
no its not right
the line doesn't pass by (2,0) it passes by (2,1)
PLEASE HELP ME WITH THIS QUESTION!!
Answers
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation, [tex] y = 1600 + 90x [/tex], given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a altura do projétil e que x é a distância percorrida por ele, em metros?
A))5
B))6
C))7
D))8
E))9
Answers
Answer:
A altura máxima é 5
Step-by-step explanation:
Matematicamente, a altura máxima pode ser obtida
A altura máxima é simplesmente o vértice da parábola
Começamos diferenciando a função Isso será -8x
Agora, defina -8x como 0
Isso significa que x = 0
Agora, substitua x = 0 de volta na equação temos
f (0) = -4 (0) ^ 2 + 5
f (0) = 5
A altura máxima é 5
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answers
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
How to do this question plz answer me
Answers
Answer:
Hey buddy, here is your answer. Hope it helps you.
Step-by-step explanation:
No of sides= 360/exterior angle
=360/20
=18 sides
the number of the sides of the polygon is 18 sides.
number of sides = 360/20
number of sides = 18
hope this helps x
Which relation is a function? (look at image below)
Answers
Answer:
Bottom Right Graph (Absolute Value)
General Formulas and Concepts:
Vertical Line TestStep-by-step explanation:
When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).
Please tell me the answer if you know I really need help
Answers
Answer:
The slope is 6/10
Step-by-step explanation:
Slope is equal to the change in y over the change in x. In this case the change in x was 60 and the change in y was 100.
Lets Solve!
change y/ change x
Substitute the change in y and change in x.
60/100
Simplify
6/10
The slope is 6/10
Laura has a coupon to get $1.00 off a $4.00 bottle of laundry detergent. What percent will Laura save?
Answers
Answer:
She saved 25% or 1/4
Step-by-step explanation:
Please give me brain
The sides of a rectangle are scaled to be 1/4 of their original size What describes the effect of the scaling on the surface area? A. The surface area of the new prism is 1/4 as large as the original prism. B. The surface area of the new prism is 1/8 as large as the original prism. C. The surface area of the new prism is 1/16 as large as the original prism. d. The surface area of the new prism is 1/24 as large as the original prism
Answers
Answer:
I think the answer is D
Step-by-step explanation:
Find the value of x so that the function has the value 2.
f (x) = -3x + 17
X=
Answers
Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Function notationStep-by-step explanation:
Step 1: Define
f(x) = -3x + 17
f(x) = 2
Step 2: Solve for x
Substitute: 2 = -3x + 17Isolate x term: -15 = -3xIsolate x: 5 = xRewrite: x = 5Step 3: Check
Plug in x to verify it's a solution.
Substitute: f(2) = -3(5) + 17Multiply: f(2) = -15 + 17Add: f(2) = 2Here we see that f(2) does equal 2.
∴ x = 5 is the solution.
suppose that x and y vary inversely and x=1 when y=12. write a function that models the inverse variation. graph the function and find y when x=5
Answers
Answer:
y=12/x
Step-by-step explanation:
if y=12, and x=1 so
general formula y=12/x
for x=5 , y=12/5=2.4
you can graph by ploting points such as (1,12), (5, 2.4),...
8) What is the image of point (-3,7) after a reflection in the
origin?
1) (3,7)
2) (-3,-7)
3) (3,-7)
4) (7,-3)
Answers
Answer:
(3,7)
Step-by-step explanation:
Circle A has a radius of 6 inches. Circle b has a radius 20% greater than circle A. What is the radius of circle B?
Answers
Answer:
7.2inches.
Step-by-step explanation:
Given parameters:
Radius of Circle A = 6inches
Unknown:
Radius of circle B = ?
Solution:
We are to find the radius of circle B.
The relationship between circle A and B is such that;
Radius of Circle B = 20% greater than that of A
Radius of Circle B = 1.2 x 6 = 7.2inches.