Answer:
A formula for P(x) is;
P(x) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
Step-by-step explanation:
The given parameters of the polynomial are;
The degree of the polynomial = 3
The multiplicity of the root at x = 1 is 2
The multiplicity of the root at x = -1 is 1
The y-intercept is y = -0.8
Therefore, we have to find the formula for the three degree polynomial;
The factors of the three degree polynomial are (x - 1)², and (x + 1)
Multiplying the factors together, we get;
(x - 1)²×(x + 1) = x³ - x² - x + 1
f(0) = -0.8, therefore, we get;
P(x) = -0.8 × (x - 1)² × (x + 1) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
The required polynomial is;
P(x) = -0.8·x³ + 0.8·x² + 0.8·x - 0.8
Calculate the interest to be paid at the end of 3 years ,if Hari borrowed Rs 30000 at 3% interest per year
Answer:
2700
Step-by-step explanation:
Given data
Time= 3 years
Principal= 30000
Rate= 3%
The simple interest formula is given as
SI=PR/100
substitute
SI= 30000*3*3/100
SI= 270000/100
SI= 2700
Hence the Interest is 2700
Help asap will give crown!!!
Figue ABCD is a trapezoid find the value of x
6
Which line has the steeper slope?
Line
4
has a steeper slope.
Line A
N
Line B
X
-6
4
-2.
2
4
6
-2
4
-6
Geometry: I need help!
Please answer fast, I’ll give brainliest.
Answer:
61
Step-by-step explanation:
The Titanic could stay afloat with four of its 16 watertight compartments flooded, more than anyone could imagine on a ship of its size. ... As the ice bumped along its starboard side, it punched holes in the ship's steel plates, flooding six compartments. In a little over two hours, the Titanic filled with water and sank.
Circle D is below.
What is the arc measure of BAC in degrees?
(7n+12)
(13n-16)
(6n)
Answer:
[tex]BAC = 276[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find BAC
The sum of [tex]angles\ at\ a\ point[/tex] is 360.
So:
[tex]7n + 12 + 13n - 16 + 6n = 360[/tex]
Collect like terms
[tex]7n + 13n + 6n = 360 + 16 - 12[/tex]
[tex]26n = 364[/tex]
Solve for n
[tex]n = 364/26[/tex]
[tex]n = 14[/tex]
From the circle:
[tex]BAC = 7n + 12 + 13n - 16[/tex]
Substitute 14 for n
[tex]BAC = 7*14 + 12 + 13*14 - 16[/tex]
[tex]BAC = 276[/tex]
(9i)(i^2)(4i)
Pls awnser
Answer:
36
Step-by-step explanation:
We are dealing with imaginary numbers, which works differently than a normal problem.
Let's combine (9i) and (i^2) and create a multiplication problem,
9ii^2 * 4i
Multiply the constants :
[tex]36i^2ii[/tex]
We see 4 i's in this problem, add them all together :
[tex]36i^4[/tex]
4 i's are equal to 1, now multiply the constant :
[tex]36 * 1[/tex]
36
I need answer for 1 2 and 3
Answer:
where are the answers???
Step-by-step explanation:
A = 2^3 x 3 x 5
B = 22 x 3 x 52
(b) Write down the highest common factor (HCF) of A and B.
Answer:
Step-by-step explanation:
B = 22 × 3 × 52?—or is it supposed to be
B = 2² × 3 × 5² ?
A = 2² × 3 × 5
B = 2² × 3 × 5²
GCF = 2² × 3 × 5 = 60
A = 2² × 3 × 5
B = 22 × 3 × 52 = 2³ × 3 × 5 × 11 × 13
GCF = 2² × 3 × 5 = 60
MO
R
S
Activity 1
Given: <QPR <SPW
р
Prove: QRws
W
Statement
Reason
1. <QPR <SPW
2. m <QPR = m <SPW
3. m<QPR = m QR and m<SPW = m WS
4. m QR = m Ws
5. QR LWS
Answer:
Is dis a question...??????
Find the measure of the indicated arc or angle.
Answer:
you have to subtract those two numbers
help please this is worth 37 points!
Answer:
6 3/4
Step-by-step explanation:
2 1/4 • 3
9/4 • 3/1
27/4
6 3/4
Hope this helps! Have a great day!
Answer:
6 3/4
Step-by-step explanation:
2 1/4 x 3 = 6 3/4
Two-fifths of one less than a number is less than three-fifths of one more than that number. What
solution set of this problem?
x <-5
x>- 5
x>-1
X<-1
Answer:
its going to be option D
Step-by-step explanation:
i promise im right
What is the solution to the inequality -6( p - 8) < -12?
please help!!
Answer:
-8 for me and thats pretty much it
Step-by-step explanation:
ok
Which function represents g(x), a reflection of f(x) = 4
() across the x-axis?
C
Step-by-step explanation:
Just got it right
A piece of ribbon is 24cm long.how many times can a piece of 0.8cm long be cut from it
Answer:
30 pieces
Step-by-step explanation:
24/0.8 = 30
MARK ME BRAINLIEST! :D
PLEASE HELP ASAP
What would increase the dissolution rate (the rate a solid dissolves) in a liquid?
Question 1 options:
decreasing the temperature of the solvent
grind the solvent into smaller pieces
stirring much more slowly
adding more solid to the liquid.
Answer and Step-by-step explanation:
The correct answer choice would be to grind the solvent into smaller pieces.
When the solid is in smaller pieces, it would take less time for the dissolver to dissolve the smaller bits, since the pieces are smaller and take up less volume for the dissolver to go through.
With a bigger solid, the dissolver would just chip away at the solid before eventually dissolving the solid, although this could take some time.
#teamtrees #PAW (Plant And Water)
What are some exercises that help me reach my goal?Comment at least with 2 exercises
My goal: to run a full mile without having to stop at least 3 times.
Exercises like running,squads ,etc
Gretchen rode her snowmobile 114 miles to a snowmobile trail. She rode on the trail for 556 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all? A. 114+556=635 B. 114+556=7112 C. 114+556+114=813 D. 114+556+114=712
Answer:
B. 1 1/4+5 5/6=7 1/12
Step-by-step explanation:
Gretchen rode her snowmobile 1 1/4 miles to a snowmobile trail. She rode on the trail for 5 5/6 miles and then rode back home. Which addition sentence shows how many miles Gretchen rode in all?
This is calculated as:
1 1/4 miles + 5 5/6 miles
1 + 5 + ( 1/4 + 5/6)
Lowest common denominator = 12
6 + ( 3 + 10/12)
6 + 13/12
6 + 1 1/12
7 1/12
Option B is correct
Answer:
B
Step-by-step explanation:
This answer is correcct
Write a rule for the function below
Answer:B
Step-by-step explanation: y=x+2
-4(x-3)^2+7=43 please show how you got your answers step by step pleaseee
Answer:
(x - 3)² = -9
Solution:
Subtract seven from both sides. After you do that, simplify, then divide both sides by -4.
Also, quadractic bit of it is x = 3i + 3, x = -3i + 3.
Answer:
x=3+3i, 3-3i
Step-by-step explanation:
-4(x-3)²+7=43
(x-3)(x-3)= x²-6x+9
-4(x²-6x+9)+7=43
-4x²+24x-36+7=43
-4x²+24x-29=43
-4x²+24x-72=0
-x²+6x-18=0
Quadratic formula: -b+√(b²-4ac) / 2a
-(-6)+√((-6)²-4(1)(18)) / 2(1)
6+√(36-72) /2
6+√(-36) / 2
x=6+6i / 2
x=3+3i, 3-3i
Question 1
Which of the following is NOT linked to cardiovascular disease
(a) Find the next term and the nth term of this sequence.
6
3
5
5
9
.
11
7
13'
Please help me.!
The table below gives the dimensions of a bridge and a scale model of the bridge.
Find the scale factor of the model to the real bridge.
Write your answer as a fraction in simplest form.
Answer:
Scale factor = [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Formula for the scale factor is,
Scale factor = [tex]\frac{\text{Dimension of the model}}{\text{Dimension of the original}}[/tex]
= [tex]\frac{\text{Dimension of the model}}{\text{Dimension of the bridge}}[/tex]
= [tex]\frac{\text{Width of the model}}{\text{Width of the bridge}}[/tex]
= [tex]\frac{7}{35}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, scale factor of the model to the real bridge = [tex]\frac{1}{5}[/tex]
lcm of 30,90 and 315
Answer:
630 is the LCM
Step-by-step explanation:
Prime factorization of the numbers:
30 = 2 × 3 × 5
90 = 2 × 3 × 3 × 5
315 = 3 × 3 × 5 × 7
LCM(30, 90, 315)
= 2 × 3 × 3 × 5 × 7
= 630
hope this helps :)
Can someone help me :(
Answer:
t=18/4
or, t= 9/2
simply t = 4.5 or 9/2
Find the volume of the cone.
What is the radius?
12
What is the height?
5
Write the volume in terms of pi (1/3 times radius squared times the height only).
π km3
Solve for the volume (Multiply by 3.14 this time)
Answer:
Step-by-step explanation:
Your first two answers are incorrect. Radius = 5 km
Height = 12 km
volume of cone = πr²h/3 = π5²⋅12 = 300π km³
300π ≈ 942 km³
PLEASE HELP ASAP!!!!!!
Answer: 10.50
Step-by-step explanation:
pls help asap!!!!!!!!!!!!!
Answer:
4.
A. (-4,4)
B. (0,0)
C. (-5,-2)
Step-by-step explanation:
Which of the following expression is the decay factor?
A. r
B. 1+r
C. 1-r
Answer:
1-r
Step-by-step explanation:
decay meaning decrease. r stays the same and 1 + r increases but 1 - r decreases so 1 - r