Answer:
Value of a =3
Value of b =5
Step-by-step explanation:
[tex]If\ the\ polynomial\ p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b,\ p\left(1\right)\ =\ 3\ and\ p\left(2\right)\ =\ 19,\ find\ a\ \&\ b[/tex]
We are given p(1)=3 and p(2)=19
Putting x =1 to find p(1)
[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(1)=2(1)^3+a(1)^2-7(1)+b\\We \ know \ p(1)=3\\3=2+a-7+b\\3=-5+a+b\\a+b=3+5\\a+b=8[/tex]
Now putting x=2 as p(2)=19
[tex]p\left(x\right)\ =\ 2x^3\ +\ ax^{2\ }-\ 7x\ +b\\p(2)=2(2)^3+a(2)^2-7(2)+b\\We \ know \ p(2)=19\\19=2(8)+4a-14+b\\19=16+4a-14+b\\4a+b=19-16+14\\4a+b=17[/tex]
Solving these equations to find values of a and b
[tex]a+b=8---eq(1)\\4a+b=17---eq(2)[/tex]
Subtract both equations
[tex]a+b=8\\4a+b=17\\-\ \ \ - \ \ \ -\\------\\-3a=-9\\a=\frac{-9}{-3}\\a=3[/tex]
So, value of a =3
Now finding value of b bu putting value of a in equation 1
[tex]a+b=8\\3+b=8\\b=8-3\\b=5[/tex]
So, Value of b =5
If 25⋅26=n, then which division equation is also true?
n÷26=25
26÷25=n
25÷n=26
25÷26=n
9514 1404 393
Answer:
n÷26=25
Step-by-step explanation:
Starting with the equation ...
25·26 = n
you can divide both sides of it by 26 to get ...
25 = n ÷ 26 . . . . matches choice A
PLease answer the slope
!!!!!!!!!!!!!!!!!!!
I dont understand this
Answer:
x=66
Step-by-step explanation:
180-114=66
Interior angles on the same side of transversal are supplementary (180°).
So,
x + 114° = 180°
=> x = 180° - 114°
=> x = 66°
What is 40% of 60????
Answer: 40% of 60 = 24
MATH ANSWER IF YOU LIKE THESE SONGS
Muffin time
life is fun
i like trains
Answer:
1 + 1 = 2 - 3= maths
Step-by-step explanation:
yes dfuilwfjkwdlwo
Answer:
i like trains CHOOOOOO
Step-by-step explanation:
58:27
The sequence below represents Marisa’s fine at the library for each day that she has an overdue book:
$0.50, $0.65, $0.80, $0.95, $1.10, ...
Which equation represents Marisa’s library fine as a function of a book that is n days overdue?
f(n) = 0.15n
f(n) = 0.50n
f(n) = 0.15n + 0.35
f(n) = 0.50n + 0.15
Answer:
a
Step-by-step explanation:
Determine the solution for x^2-3x-28=\> 0
Answer: x = -4 or x = 7
Step-by-step explanation:
x^2 - 3x - 28 =/>
(factor)
(x^2 + 4)(x-7) = 0
x + 4 = 0 or x - 7 = 0
(subtract -4 from 0 and 7 from 0)
x = -4 or x =7
Answer:
(infinity, -4] or [7, infinity).
Step-by-step explanation:
right on edge
Hello! if anyone could help me I'd really appreciate it!. Thanks !
Answer:
the first one i think
Step-by-step explanation:
-3 is the y-intercept and that i all i got, sorry :(
Answer:
Its the first one! <3
Helps me solve this problem please
Answer:
A.
Step-by-step explanation:
You just plug in the numbers
y = x - 7
-5 = 2 - 7
- 5 = - 5
This makes this equation true.
If 5 men paint a wall in 3hours,
How many men will paint the same wall in 3/4 hours,
working at the same rate
a)5
b)10
c)15
d)20
e)24
Answer:20 men
Step-by-step explanation:
ANSWER NEEDED ASAP!
Find the value of x. (Hint: The sum of the angles in
a triangle is 180 degrees.)
The value of x is degrees.
Answer:
look below
Step-by-step explanation:
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.
I NEED HELP ASAP PLEASE
Answer:
Step-by-step explanation:
Yo when you get these kind of questions you can use desmos calculator, for the future.
Which number would make this inequality true?
______ <0.271
0.27100
0.28
0.21
0.309
question says.
which number would make this inequality true?________< 0.271
answer is
0.21
have a good day!!
75=-5(3+6m) I need this
Find the slope of the line passing through the pair points (7,6) and (-7,-6)
Answer:
=6/7
Step-by-step explanation:
(Will mark brainliest and give $5 Starbucks digital card Include SC!!!) For which set of triangles can you immediately use the AAS congruence criteria to prove them congruent?(1 point)
1. triangles STU and VWX, where ∠T≅∠W, ∠U≅∠X, and SU≅VX
2. triangles GHI and JKL, where ∠G≅∠J, ∠H≅∠K, and GH≅JK
3. triangles MNO and PQR, where ∠N≅∠Q, MN≅PQ, and NO≅QR
I'm not so sure about this answer, but i remember doing something similar to this. I think it's 3.
john’s dog eats 4/5 tin of mince meat added in his meal every day . if dog eats 35 full tins of meat in one week(7 days) then how much does it eat every day.
Answer:
it eats five mince meat everyday
SOMEONE PLEASE HELP
ONLY ANSWER IF YOU KNOW THE ANSWER
I WILL BE REPORTING ANSWERS THAT HAVE NOTHING TO DO WITH THIS
Answer: c and e
Step-by-step explanation:
Convert 4/7 to 42nds
Answer:
24... I hoped dis helped.
is 0.5 or 17/34 greater
Answer:
They're equal; 17/34 as a decimal is 0.5
Step-by-step explanation:
Hope this helped, Have a Great Day!!
Answer:
17/34 is actually equal to 0.5. So since your comparing it to the decimal o.5 they are both equal to each other (:
Step-by-step explanation:
Thank you for your timeeee
solve for x.........
Answer:
61
Step-by-step explanation:
A triangle's total degrees is 180. You add the two angles they give you and then subtract the sum from 180. In number 9, the answer is 61. 47+72=119, 180-119= 61.
15+10f=-12 does someone knows this one?
Answer:
f = - 2.7
Step-by-step explanation:
15 + 10f = -12
10f = -12 - 15
f = -27/10
f = - 2.7
Can anybody help plzz?? 65 points
Answer:
[tex]\frac{dy}{dx} =\frac{-8}{x^2} +2[/tex]
[tex]\frac{d^2y}{dx^2} =\frac{16}{x^3}[/tex]
Stationary Points: See below.
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesCalculus
Derivative Notation dy/dx
Derivative of a Constant equals 0.
Stationary Points are where the derivative is equal to 0.
1st Derivative Test - Tells us if the function f(x) has relative max or mins. Critical Numbers occur when f'(x) = 0 or f'(x) = undef2nd Derivative Test - Tells us the function f(x)'s concavity behavior. Possible Points of Inflection/Points of Inflection occur when f"(x) = 0 or f"(x) = undefBasic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Quotient Rule: [tex]\frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]
Step-by-step explanation:
Step 1: Define
[tex]f(x)=\frac{8}{x} +2x[/tex]
Step 2: Find 1st Derivative (dy/dx)
Quotient Rule [Basic Power]: [tex]f'(x)=\frac{0(x)-1(8)}{x^2} +2x[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2x[/tex]Basic Power Rule: [tex]f'(x)=\frac{-8}{x^2} +1 \cdot 2x^{1-1}[/tex]Simplify: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Step 3: 1st Derivative Test
Set 1st Derivative equal to 0: [tex]0=\frac{-8}{x^2} +2[/tex]Subtract 2 on both sides: [tex]-2=\frac{-8}{x^2}[/tex]Multiply x² on both sides: [tex]-2x^2=-8[/tex]Divide -2 on both sides: [tex]x^2=4[/tex]Square root both sides: [tex]x= \pm 2[/tex]Our Critical Points (stationary points for rel max/min) are -2 and 2.
Step 4: Find 2nd Derivative (d²y/dx²)
Define: [tex]f'(x)=\frac{-8}{x^2} +2[/tex]Quotient Rule [Basic Power]: [tex]f''(x)=\frac{0(x^2)-2x(-8)}{(x^2)^2} +2[/tex]Simplify: [tex]f''(x)=\frac{16}{x^3} +2[/tex]Basic Power Rule: [tex]f''(x)=\frac{16}{x^3}[/tex]Step 5: 2nd Derivative Test
Set 2nd Derivative equal to 0: [tex]0=\frac{16}{x^3}[/tex]Solve for x: [tex]x = 0[/tex]Our Possible Point of Inflection (stationary points for concavity) is 0.
Step 6: Find coordinates
Plug in the C.N and P.P.I into f(x) to find coordinate points.
x = -2
Substitute: [tex]f(-2)=\frac{8}{-2} +2(-2)[/tex]Divide/Multiply: [tex]f(-2)=-4-4[/tex]Subtract: [tex]f(-2)=-8[/tex]x = 2
Substitute: [tex]f(2)=\frac{8}{2} +2(2)[/tex]Divide/Multiply: [tex]f(2)=4 +4[/tex]Add: [tex]f(2)=8[/tex]x = 0
Substitute: [tex]f(0)=\frac{8}{0} +2(0)[/tex]Evaluate: [tex]f(0)=\text{unde} \text{fined}[/tex]Step 7: Identify Behavior
See Attachment.
Point (-2, -8) is a relative max because f'(x) changes signs from + to -.
Point (2, 8) is a relative min because f'(x) changes signs from - to +.
When x = 0, there is a concavity change because f"(x) changes signs from - to +.
i need help asappppp
Answer:
make them all the separate rectangle
like 5*8+5*8+12*(15-8) = Answer
got it ?
Answer:
5*8=40
+5*8=40
+(15-8)= 7*12 =84 + 80
=164
Step-by-step explanation:
ps happy thanksgiving
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A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answer:
It would be -100
In a sale, a blow dryer is marked down from $18.98 to $11.39.
What is the percent decrease?
The percent decrease is 61.94%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
In a sale,
a blow-dryer is marked down from $18.98 to $11.39.
Let n be the percent decrease.
So,
n = 11.39 x 100/18.39
n = 61.94
Therefore, the required percentage is 61.94%.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Three friends each have some ribbon. Carol has 54 inches of ribbon, Tino has 10.5 feet of ribbon, and
Baxter has 45 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and
yards
Answer:
1800 inches, 150 feet, and 50 yards
Step-by-step explanation:
First, lets start in inches. multiply 45 by 3, to get 135 feet, and add that with 10.5 to get 145.5 feet. multiply that by 12 to get 1746 inches, and add 54 to that to get 1800 inches. divided that by 12 to get 150, and divided 150 by 3 to get 50.
PLS PLS PLS HELP THIS IS AN ALGEBRA 2 QUESTION
Answer:
look
Step-by-step explanation:
When she simplified her radical she put 5x*2x and 12 squared
what she should ahve done is 5x*4x^2 square 3x
which table represents a nonlinear function? Help please!