Answer:
The quadratic x2 − 5x + 6 factors as (x − 2)(x − 3). Hence the equation x2 − 5x + 6 = 0
has solutions x = 2 and x = 3.
Similarly we can factor the cubic x3 − 6x2 + 11x − 6 as (x − 1)(x − 2)(x − 3), which enables us to show that the solutions of x3 − 6x2 + 11x − 6 = 0 are x = 1, x = 2 or x = 3. In this module we will see how to arrive at this factorisation.
Polynomials in many respects behave like whole numbers or the integers. We can add, subtract and multiply two or more polynomials together to obtain another polynomial. Just as we can divide one whole number by another, producing a quotient and remainder, we can divide one polynomial by another and obtain a quotient and remainder, which are also polynomials.
A quadratic equation of the form ax2 + bx + c has either 0, 1 or 2 solutions, depending on whether the discriminant is negative, zero or positive. The number of solutions of the this equation assisted us in drawing the graph of the quadratic function y = ax2 + bx + c. Similarly, information about the roots of a polynomial equation enables us to give a rough sketch of the corresponding polynomial function.
As well as being intrinsically interesting objects, polynomials have important applications in the real world. One such application to error-correcting codes is discussed in the Appendix to this module.
Step-by-step explanation:
Events which do not influence each other are called
Answer:
Independent Events
Step-by-step explanation:
Independent Events are events which do not affect each other.
HTH :)
4) Find the slope of the graph
(-2,7)
(6, 1)
Answer:
m=−3/4 b=11/2
Step-by-step explanation:
Answer:
Slope =-3/4
Step-by-step explanation:
Given
Point on the slope (-2,7) (6, 1)
Where ( x1,y1) is (-2,7) and (X2,y2) is (6,1)
Slope =y1-y2/ x1-x2
=7-1/-2-6
= 6/-8
= -3/4
So the slope is -3/4
15pts and brainliest to whoever can answer
(Also EXPLAIN the reasoning you used to find the value of P
9514 1404 393
Answer:
p = 3x+10
Step-by-step explanation:
The attached diagram pretty much explains it.
The unknown dimension at the top was the subject of a previous problem. It is the difference in length between the two marked horizontal segments:
(2x +15) -(x) = x +15 . . . . . length of unmarked solid horizontal line
Similarly, the length of the unmarked vertical line on the right is the difference between the marked vertical lines:
(2x -5) -(x -5) = x . . . . . length of unmarked solid vertical line
__
The formula for the area of a rectangle is used to find the areas of the left-side and right-side rectangles. Respectively, those areas are ...
left-side area = x(2x -5)
right-side area = x(x +15)
Then the total area enclosed by the solid line is ...
x(2x -5) +x(x +15) = x(2x -5 +x +15) = x(3x +10)
__
The area of the lot extension is the product of its dimensions:
extension area = x·p
We want this to be the same as the area in the solid line, so ...
x·p = x·(3x +10)
Dividing by the coefficient of p (which is x), we have ...
p = 3x +10
What is the square root of 450 divided by 5?
Answer:
The square root of 450 is irrational, meaning it never ends. As an estemate though the answer is 4.24
Step-by-step explanation:
need help i will mark brainliest
Answer:
sorry all I know is "C" is 30
Step-by-step explanation:
Answer:
t=15 k=320 p=30 j=39 r=22
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to the following linear equality in the coordinate plane 2x+y>4
9514 1404 393
Answer:
see below
Step-by-step explanation:
Setting x=0, you can find the y-intercept:
y = 4
Setting y = 0, you can find the x-intercept:
2x = 4
x = 2
The boundary line can be drawn through these intercept points, (0,4) and (2,0). Because the "equal to" case is not included, the boundary line will be dashed.
The y variable is on the open side of the comparison symbol (y>), so the shading is above the boundary line. That is where y-values are greater than those on the line.
Answer:
Answer is in the attachment
Step-by-step explanation:
mark me the brainiest
At the U-Pack Shipping, the workers can unload 24 trucks in 8 hours. Which of the following is a correct unit rate for this situation?
1 over 3. of a truck per hour
1 over 3. of an hour per truck
3 hours per truck
1 truck per hour
Answer:
1 over 3. of an hour per truck.
Step-by-step explanation:
1/3 x 1 hour = 20 min.
20 min X 24 (each truck) = 480 mins
480 mins / 60 mins = 8 hours
1/3 of an hour per truck.
A side of the triangle below has been extended to form an exterior angle of 112°. Find
the value of x.
Given that for all values of x,
f(x) = 4x + p
g(x) = px + 1
and fg(x) = 12x + q
where p and q are constants.
Work out the values of p and q.
Answer:
Step-by-step explanation:
p = 3
M also looking for q.
If f(x) = 4x + p, g(x) = px + 1 and fg(x) = 12x + q. The value of p and q are 4 and 7.
What is Function?An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)
f(x) = 4x + p
g(x) = px + 1
and fg(x) = 12x + q...(1)
So f(g(x)=4(px+1)+p
=4px+4+p...*
Comparing * with (1).
4p=12
P=3
q=4+p
q=4+3
q=7
Therefore p is 3 and q is 7.
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ2
Consider polynomial function f.
dropdown 1 (3,2,1)
dropdown 2(3,2,1)
dropdown 3 (-1 only, 1 only,-3 and 1 only,-3 -1 and 1, 3 only)
Answer:
It is 2
Step-by-step explanation:
Ms. Costo is shopping for a new car. The salesman tells her the price will be $18,795 before a 10% discount. Ms. Costo isn’t sure she is getting the best price, so she sends Ms. Deele to ask the price of the same car. This time the salesman tells her the price is $17,050. Who is offered the better price? What is the price of the better deal after paying the 6% sales tax?
Answer:
The first deal is the best deal. After the sales tax, the second deal is the better deal. I hope this helps!!
Answer:
978678
Step-by-step explanation:
kjgh
Jan is using toothpicks to create patterns as shown below.
A
Figure 1
Figure 2
Figure 3
Based on this pattern, how many toothpicks will Jan use in Figure 16?
Answer:
63
Step-by-step explanation:
I did the CFU.
What is 35% of 80? use the if/of formula
Answer:28
Step-by-step explanation:
10%= 8
35%/10%= 3.5
8 x 3.5 = 28
Answer:
28
Step-by-step explanation:
80/x=100/35
(80/x)*x=(100/35)*x - we multiply both sides of the equation by x
80=2.85714285714*x - we divide both sides of the equation by (2.85714285714) to get x
80/2.85714285714=x
28=x
x=28
now we have:
35% of 80=28
A baker uses 1,232 ounces of flour daily. The baker's recipe for a loaf of bread calls for 12 ounces of flour. How many full loaves can he bake in one day?
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
Answer:
102 loafs of bread
Step-by-step explanation:
1232 ÷ 12 = 102.6666666666
102 is the answer
PLEASE HELP ME
SOLVE FOR X
Answer:
x=21.4
Step-by-step explanation:
helpp simplify thissss
Answer:
2c^2
Step-by-step explanation:
8c^3d^2/4cd^2
divide the 8 by 4 to get 2
You subtract the powers so c^3-c=c^2 the d^2 cancel each other out
that leaves 2c^2
Please help!
4. Which line represents a proportional relationship?
a. y1
b. Y2
C. Y3
d. Y4
Glados goes to the store and buys a pet giraffe for $20. The store has
a sales tax rate of 6%. How much tax will Glados have to pay?
Jabel required
It takes Mark 45 minutes to ride his bike 5 miles. At this rate, how long will it take him to ride 8 miles?
Answer:
1 hour and 12 mins
Step-by-step explanation:
help will be helpful thank you
Answer:
a. 9+15+12=34ft
b.10×2+40×2=100cm
Step-by-step explanation:
For A add all the numbers and for B add 10 twice and 40 twice because there arent any numbers there.
2. Choose the expanded form for: 5.673 *
(5 x 1) + (6 x 1/10) + (3 x 1/100) + (7 x 1/1000)
O five and six hundred seventy three thousandths
O (5 x 10) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)
O (5 x 1) + (6 x 1/10) + (7 x 1/100) + (3 x 1/1000)
Choose the graph for the inequality.
Answer:
B
Step-by-step explanation:
Which table made this graph ?
Answer:
Step-by-step explanation:
The answer is 3. There is a (-1,1) and a (0,0) that is on the graph.
Answer:
Step-by-step explanation:
(c). III
simplifying products and quotients 2^5/4=2^5/2^a=2^b=c
please help
Answer:
8=16a=2b=c
Step-by-step explanation:
2^5/4=2^5/2^a=2^b=c
32/4=2^5/2^a=2^b=c
8=2^5/2^a=2^b=c
8=32/2^a=2^b=c
8=32/2a=2^b=c
8=16a=2^b=c
8=16a=2b=c
What is the solution?
Answer:
y=60 x=16
Step-by-step explanation:
the triangles are identical so 92+y=3y-28 so solve that for y:
-y +28
120=2y . /2 /2
60 = y so y=60
and 6x+2=3x+50 and solve that for x: which gets x = 16
Then are you supposed to plug it in to the numerical equvilant to the angles and sides becuase if so: B and E is 152, AC and DF are 98
Hope this helps and brainliest would be greatly appreciated! Thanks!
Simplify the expression.
3x3 - 2x2
Answer:
3x^3 - 2x^2
Step-by-step explanation:
This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.
the phones continue to be made with the correct working part, so the percentage continues to increase. what percent is reached if (round answers to the nearest tenth of a percent):
- the next 50 phones are working?
- the next 100 phones are working?
- the next 500 phones are working?
Answer:
The next 50 phones are working? ---> 88.3%
The next 100 phones are working? ---> 93.6%
The next 500 phones are working? ---> 98.6%
Step-by-step explanation:
Just answered it on edge :)
Answer:
88.3
93.6
98.6
Step-by-step explanation:
Edge2021
the function of f (x) is defined by f (x)=4x+7. the inverse of f (x) is g (x). what is g (15)?
Answer:
g(15) = 2
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Function inversesStep-by-step explanation:
Step 1: Define
f(x) = 4x + 7
g(x) = f⁻¹(x)
g(15) is x = 15
Step 2: Find inverse
Rewrite: y = 4x + 7Swap: x = 4y + 7Isolate y term: x - 7 = 4yIsolate y: (x - 7)/4 = yRewrite: y = (x - 7)/4Back-substitute: g(x) = (x - 7)/4Step 3: Evaluate
Substitute: g(15) = (15 - 7)/4Subtract: g(15) = 8/4Divide: g(15) = 2
The Franks family ordered 7 pizzas for their son's birthday party on Saturday.
They purchased pizzas and gave the delivery man a $15 tip. The totalamount
paid including the tip was $78.
Answer:
Question?
Step-by-step explanation:
I can't see it am sorry
Answer:
If your looking for the amount per pizza then it’s $9
Step-by-step explanation:
1. 78-15=63
2. 63/7=9
3. 9 dollars per pizza
using ratio plz help im stuck i need #5 for one side 1-5 for the other