Answer:
[tex]f(x)=(x-3)(x^2+4x+8)[/tex]
Step-by-step explanation:
A polynomial function is given by the form:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).
Our zeros are 3 and (-2 + 2i).
And our leading coefficient a = 1.
Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.
So, by substitution, we acquire:
[tex]f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))[/tex]
Simplify:
[tex]f(x)=(x-3)(x+2-2i)(x+2+2i)[/tex]
Expand the second and third factors:
[tex]\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}[/tex]
Therefore, our polynomial function of least degree and the given zeros will be:
[tex]f(x)=(x-3)(x^2+4x+8)[/tex]
solve for x 0.61^2x+1=39.2^2x+1
If you mean,
[tex]0.61^{2x + 1} = 39[/tex]
then the answer is going to be
[tex]x = \frac{log39}{2log \: 0.61} - \frac{1}{2} [/tex]
but if you mean,
[tex]0.61 ^{2} x + 1[/tex]
then, the answer is going to be, x = 102.123085.
Cara salary was increased from £28 250 to £29 832 work out the percentage increase in car salary
if no values are repeated, then a data set doesn’t have a mode.
A. true
B. false
If anyone could help
The answer is in the pic.
Help!! Plzzz
Nevaeh invested $1,200 in an account paying an interest rate of 2 % compounded
quarterly. Paisley invested $1,200 in an account paying an interest rate of 2 %
compounded continuously. To the nearest dollar, how much money would Nevaeh
have in her account when Paisley's money has tripled in value?
Answer:
Nevaeh will have 1224.33 and Paisley will have 1275
Which of the triangles are right triangles
Answer:
Number 2 is one of them
I can't tell what number 4 is because your mouse
is covering one of the numbers
Step-by-step explanation:
Use Pythagorean therom
A^2 + B^2 = C^2
Select all correct answers, marking most brainly :)
Answer:
Your answers are C and D
Step-by-step explanation:
If you pay attention to the chart you will notice that medium duty fabric can last from 9000 to 15000 rubs meaning that since fabric B lasted 9200 it would be a medium duty fabric, making Fabric A light duty fabric.
A: This is INCORRECT because fabric B is medium duty
B: This is INCORRECT because Fabric B lasted longer than Fabric A
C: This is CORRECT because Fabric B is medium duty fabric
D:This is CORRECT because Fabric B lasted more rubs than Fabric A because its a more durable fabric
E: This is INCORRECT because Fabric A does not meet the requirements to be a Medium duty fabric.
Your Welcome, Hope This Helps, And Have a Splendid Day!!!
please help me find the right answer
Answer:
C) 41.2 in²
Step-by-step explanation:
2.2x3=6.6
4x3=12
4.6x3=13.8
2x2.2x4x1/2=8.8
6.6+12+13.8+8.8=41.2
HELP! WILL MARK AS BRAINLIEST
T = 88 btw
Answer:
V = 63°
U = 29°
X = 12°
Step-by-step explanation:
given that T = 88
88 = 7x+4
88 - 4 = 7x
84 = 7x
84 = 7*12
x=12
V = 60 + 3 = 63
U = 24 + 5 = 29
88 + 63 + 29
Check : 88 + 63 + 29 .= 180
1 litre =___Cm3. Plz help me fast
Answer:
1000 cm^3
Step-by-step explanation:
Find the height of a flagpole to the nearest tenth if the angle of elevation of tbe sun is 28 degrees & the shadow of the flagpole is 50 feet
Answer:
Step-by-step explanation:
tan28=h/50
h=50tan28
h=26.6ft
Two cities are 420 miles apart. Kerri wants to draw a map that has a scale of 1/2"=50 miles. How far apart should Kerri draw the two cities on the map
Answer:
Kerri should draw the two cities 4.2" or 4 1/5" apart.
Please answer ASAP!
Write an expression in simplest form for the area of the rectangle.
Length: (c+4) ft
Width: 3 ft
Answer:
3c+12
Step-by-step explanation:
Are of rectangle = Length * Width
Given the following data
Length: (c+4) ft
Width: 3 ft
Area of the rectangle = 3 (c+4)
Expand
Area of the rectangle = 3(c) + 3(4)
Area of the rectangle = 3c + 12
hence the expression in simplest form for the area of the rectangle is 3c+12
Is the following relation graphed below a function? Explain? Think about what open and closed circles mean
Given:
The graph of a relation.
To find:
Whether the given relation in the graph is a function or not.
Solution:
First we need to understand the meaning of open circles and closed circles.
Open circle: It is a unfilled circle, it means, that value is not included in the solution set.
Close circle: It is a completely filled circle, it means, that value is included in the solution set.
A relation is a function if their exist a unique y-value (output value) for each x-value (input value).
The graph of a relation is a function, if the graph intersect each vertical line at most once. It is known as vertical line test.
For the vertical lines x=-1 and x=1, the graph has only one close circle and all other vertical line intersect the graph at most once.
Since the graph passes the vertical line test, therefore it represents a function.
Pleaseee helppp due in 4 minutesssss!!!!
Answer:
45 x 5 + 12 x 1,800
Step-by-step explanation:
What is this help me plz
Answer:
58
Step-by-step explanation:
Answer:
since the median means middle, you lay the numbers out from least to greatest.
Step-by-step explanation:
52, 72, 96, 21, 58, 40, 75 would go to
21, 40, 52, 58, 72, 75, 96.
then you cross out the numbers in a pattern so like
no more 21 and no more 96
no more 40, and no more 75
no more 52 and no more 72
this leaves you with 58!
Hope I could help you out! please consider marking me as brainliest, my answer took alot of time! have a great day!
A mail carrier can deliver mail to 1,400 different homes in one day. In the city of Utopia, there are 52,800 residents. How many mail carriers must be hired to deliver mail to all of the residents of Utopia each day?
Answer: 38 Mail Carriers
Step-by-step explanation:
Divide residents by mail carriers.
52,800 / 1400 = 37.71
what is 16 divided by 8,157
Answer:
yoyo
Step-by-step explanation:
How do you find the angle for 2?
Answer:
m<2 = 130°
Step-by-step explanation:
m<1 + m<2 = 180° (angles on a straight line/linear pair theorem)
First, we need to find m<2.
m<1 + 90° + 40° = 180° (sum of triangle)
Add like terms
m<1 + 130 = 180
Subtract 130 from each side
m<1 = 180 - 130
m<1 = 50°
Thus:
50° + m<2 = 180°
Subtract 50° from each side
m<2 = 180 - 50
m<2 = 130°
lin run 5 laps around a track in 10 minutes. How many minutes per lap is that
Answer:
2min per lap
Step-by-step explanation:
Find the circumference of the figure given below.
7 in
43.96 in
21.98 in
87.92 in
7 in
Answer:
C = 43.96 in
Step-by-step explanation:
C = 2πr
C = 2π(7)
C = 14π
C = 14(3.14)
C = 43.96 in
Answer:
Step-by-step explanation:
43.96
What is the decimal version of 28/80*
Answer:
0.35
Step-by-step explanation:
Answer:
The decimal form of 28/80 is 0.35.
Pls could you help me out
1.) 1
Let's start with 18 degrees and then subtract 12 degrees from it
18-12=6
Now let's take 6 degrees and subtract 5 from it
6-5=1
At 2 pm the temperature was 1 degree.
2.) $125
Start with the total amount John had ($250) and then subtract his remaining amount ($125) to find out how much he withdrew.
$250-$125=$125
The two triangles below a
What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2
Answer:
it's 4:2.
Step-by-step explanation:
since it is similar AB is double the size of AB' and BC is double the size of BC'. so 4:2 4 is double the size of 2.
Consider the right triangle shown below.
The hypotenuse of the triangle is r=15 cm long. Suppose cos(θ)=0.825 and sin(θ)=0.565. What are the other side lengths of the triangle?
x=____ cm
y=_____ cm
The side lengths of the triangle are x = 12.375 cm , y = 8.475 cm .
What is trigonometric ratio?Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
Hypotenuse of the triangle r = 15 cm
Perpendicular for ∠ θ = y
Base for ∠ θ = x
sin(θ)=0.565
cos(θ)=0.825
Now, using trigonometric ratio
sin θ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]
sin(θ)=0.565 (given)
0.565 = [tex]\frac{y}{r}[/tex]
0.565 * r = y
y = 0.565 * 15
y = 8.475 cm
cos θ = [tex]\frac{Base}{Hypotenuse}[/tex]
cos(θ)=0.825
0.825 = [tex]\frac{x}{r}[/tex]
0.825 * r = x
x = 0.825 * 15
x = 12.375 cm
Hence, the side lengths of the triangle are x = 12.375 cm , y = 8.475 cm.
To know more about trigonometric ratio here:
https://brainly.com/question/25122825
#SPJ2
.
pleassee show your work
Answer:
Step-by-step explanation:
The slope intercept form of a line is y=mx+b where m=slope and b=y intercept. So we should solve for y.
3x/5+25y=10, multiply all terms by 5 and the denominator cancels out
3x+125y=50, subtract 3x from each side
125y=-3x+50, divide both sides by 125
y=(-3+50)/125
slope=m=-3/125
y intercept=b=2/5
I think of a number. subtract 2 and my answer is 15
Answer:
17
Step-by-step explanation:
15 + 2 is 17
Answer:
17
Step-by-step explanation:
15+2=17
17-2=15
i will give you brainliest whoever answers correct first!!
Question: Find the scale factor of each line segment dilation.
1. AB: endpoints (-1, -1) and (-2, -4) to A'B': endpoints at (-3, -3) and (-6, -12).
2. AB: endpoints (1, 1 4 ) and (-2, 5) to A'B': endpoints at (4, 1) and (-8, 20).
3. AB: endpoints ( 1 3 , 1 6 ) and (- 1 9 , - 1 3 ) to A'B': endpoints at ( 1 9 , 1 18 ) and (- 1 27 , - 1 9 ).
4. AB: endpoints (1, 4) and (-2, -6) to A'B': endpoints at ( 1 2 , 2) and (-1, -3).
I know by the time this is answered I will not need it but for all the other cheaters here.
the sale price of every item in the store is 75% of its usual price. The usual price of sneakers is $120, What is their sale price?
Answer: $90.00
Step-by-step explanation:
Take this equation
120(n)
n will equal 0.75 since it is 75% of the original price
120(0.75)
$90.00
Answer:
$90
Step-by-step explanation:
75% = 75/100 = 0.75
120*0.75 = 90