Answer:
y=-4x+11
Step-by-step explanation:
formula=
y=mx+B
find m
formula y2-y1/x2/x1
-5--1/4-3=-4/1=
-4 is your m
find b
-1=-4(3)+b
-1=-12+b
11=b
3.subsitiute into y=mx+b
Given:
The of values of a function.
To find:
The ordered pairs that are found on the graph of the inverse function.
Solution:
If a function is defined as
Then its inverse function is defined as
From the given table it is clear that, the ordered pairs of the function f(x) are :
So, ordered pairs of the inverse function are :
Therefore, the correct option is B.
Answer:
b) the coefficient of x of jamie's polynomial is 5 .
c) The two polynomials are :
x³ + 4x² + 5x + 4
x³ - 2x² + 5x + 4
Step-by-step explanation:
consider these two Monic polynomials of degree 3:
P : x³ + ax² + bx² + c
Q : x³ + a₁x² + bx² + c
P × Q = x⁶+ (a+a₁)x⁵ + (aa₁+2b)x⁴ + (ab+a₁b+2c)x³ + (ac+a₁c+b²)x² +2bcx + c²
Now we compare the coefficients of P × Q and x⁶ + 2x⁵ +2x⁴ + 18x³ + 33x² + 40x + 16
b)
c² = 16 ⇒ c = 4 (c is positive)
2bc = 40 ⇒ 8b = 40 ⇒ b = 5 then the coefficient of x of jamie's polynomial is 5 .
c)
In order to find a and a₁ we need to solve this system:
a+a₁ = 2 a+a₁ = 2
⇔
aa₁+2b = 2 aa₁ = -8
Solve the system and you’ll get :
a = 4 and a₁ = -2 or a = -2 and a₁ = 4
Let’s choose a = 4 and a₁ = -2 then
the two polynomials are respectively:
P : x³ + ax² + bx² + c = x³ + 4x² + 5x + 4
Q : x³ + a₁x² + bx² + c = x³ - 2x² + 5x + 4
Cost of each smarties is 5 cents and cost of each jujubes is 2 cents.
Solution:
Let x be the smarties and y be the jujubes.
Cost of 6 smarties and 5 jujubes = 40 cents
⇒ 6x + 5y = 40 ---------- (1)
Cost of 3 smarties and 2 jujubes = 19 cents
⇒ 3x + 2y = 19 ---------- (2)
Subtract 3x on both sides.
⇒ 2y = 19 – 3x
Divide by 2 on both sides.
---------- (3)
Substitute this in equation (1), we get
Multiply 6x by , we get
Multiply by 2 on both sides, we get
12x + 95 – 15x = 80
–3x + 95 = 80
Subtract 95 from both sides, we get
–3x = –15
Divide by –3 on both sides,
x = 5
Substitute x = 5 in equation (3)
⇒ y = 2
Hence cost of each smarties is 5 cents and cost of each jujubes is 2 cents.
It would help if you'd please use parentheses to indicate clearly what is to be multiplied or divided by what.
I am assuming (not claiming that I know) you meant:
(12f-16) (5)
------------ divided by --------------
16 9f^2 - 16
Factor as much as possible before attempting division:
4(3f-4) 5
--------- divided by -----------------
16 (3f-4)(3f+4)
This is equivalent to multiplying as follows:
4(3f-4) (3f-4)(3f+4)
---------- * -----------------
16 5
Is this what you meant? If so, please finish the work. If not, please copy down the original problem making liberal use of parentheses for clarity.