3. f(x) = – 2 x + 1
101
od
-10-0
6
8 10
8
-10
x-intercept:
y-intercept:
zero:
slope:
Answers
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.
y-intercepted: 0 and 1
zero: not sure
slope: 1
Related Questions
For field trips, Stewart Middle School has parents chaperone groups of students. They always keep the same ratio of parents to students. There were 15 parents and 75 students on the aquarium field trip. Only 25 students are going on the museum field trip.
How many parents will go on the museum field trip?
Answers
Answer:
5 parents are going.
Step-by-step explanation:
We can think of this easily. Let's say it starts off with 25 students going only. 25 x what = 75 25 x 3 = 75 15/3= 5 5 parents.
Answer:
5 parents
Step-by-step explanation:
You owe four people $7 each. Yesterday you paid off your debt. Write two equations to show how much money you paid yesterday
Answers
7x4= 28
If you are learning multiplication you can use those
Find x
8x + 14
9x + 2
A) 8
C) 11
B) 7
D) 12
Answers
8x +14=9x+12
8x+12=9x
12=1x
x=12
how do you tell if the triangles are similar.
Answers
Answer: see below
Step-by-step explanation:
1. Same shape, size may vary
2. Has corresponding angles congruent (equal)
3. Has corresponding sides in the same ratio
For detailed, step-by-step explanations you can visit my fiverr account: kesja_
I provide detailed explanations for math questions for as little as $1!
In exceed codes 11-14 solve the system of nonlinear equations using the graph (picture attached)
Answers
Answer:Graph 12
Step-by-step explanation:
It would make sense for the lines not to be intersecting.
-3e − 6f = -36
-3e + f = -15
Answers
Answer:
Step-by-step explanation:
e= 6
f= 3
Answer:
f= 3
& e= 6
Step-by-step explanation:
hope it's helpful to you
The measures of the angles of a triangle are shown in the figure below. Solve for X.
75°
(7X+14)
49°
Answers
Answer;
x=6
Step-by-step explanation:
Step-by-step explanation:
Angle in a triangle is 180
75+ (7x+14) +49 =180
75+ 49+ (7x+14)= 180
124+ (7x+ 14) = 180
124+ 14 +7x= 180
138+7x = 180
7x =180- 138
7x=42
x= 6
Which set of ordered pairs does not represent a function?
O{(-2,5), (0, -9), (8,-2), (7,4)}
O{(-3,4), (-5,4), (7, -3), (2, -9)}
O {(2, -9), (-5, -1), (-6, -3), (-5,7)}
O {(1, -8), (-9,-2), (-4,0), (4, -8)}
Answers
Step-by-step explanation:
{(2, -9), (-5, -1), (-6, -3), (-5,7)}
-5 appears twice ( this is not allowed for the function)
There were 56 runners to start a race. In the first half of the race, h of them dropped out. In the second half of the race, z of the remaining runners dropped
out. How many runners finished the race?
Answers
Answer:
56-h-z runners
Step-by-step explanation:
The only number we're given is 56, so the only thing that we can do is create an expression
Answer:
56 - h - z
Step-by-step explanation:
-h - z is the number of people who dropped out at any time in the race.
56 is the total amount, and you put -h - z behind it.
Therefore, you get 56 - h - z.
guys pls help me!!!!!!
Answers
Answer:
104 degrees
Step-by-step explanation:
Answer:
if i am right the answer should be x=104 degrees, apoligies if wrong
If you want to enlarge
a photograph that
has a ratio of 3:5 by
a scale factor of 3,
what size photograph
would
you have?
Answers
Answer:
9:15
Step-by-step explanation:
3 x 3 = 9
5 x 3 = 15
This, your new ratio is 9:15 because you need to multiply each side by the scale factor.
Simplify -7 1/9 - (-9 1/2)
Answers
Answer:
Here: 2 7/18
Step-by-step explanation:
Hope this helped and brainlest please!
19/8 or 2 3/8 you choose :)
pls answer this. I need it badly. PLS. I beg u. HELP ME.....................
Answers
B= x+5/3x+2
Please mark brainelist
Answer:
a) 3x^2+ 13x-10
3x^2+15x-2x-10
3x(X+5)-2(X+5)
(3x-2)(X+5)
A line segment has a midpoint with coordinates (-3, 2). Given that one endpoint is located at (1, -1), determine which of the following is the other endpoint?
Answers
Answer:
2
Step-by-step explanation:
because two is at the end so it's basically 2
help me pls ASAP I need it in 5mins
Answers
First option, empty set
Select the correct answer.
What is this expression in simplest form?
Answers
Answer:
your answer is no. c
Your answer is no. c
A 96- ounce container of orange juice cost $4.80 at what price should a 128- ounce container be sold in order for the unit rate for both containers to be the same? Explain your reasoning.
Answers
Take $0.05 x 128 oz and you’ll get $64.00.
Hope that was right! Good luck!
Help ASAP due tomorrow! Will mark brainliest!
Answers
#1
You solved already
#2
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{p}{b}[/tex]
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{10}{7}[/tex]
Noah is correct#3
[tex]\\ \sf\longmapsto tan\Theta=\dfrac{9}{7}[/tex]
[tex]\\ \sf\longmapsto tan\Theta=1.2[/tex]
[tex]\\ \sf\longmapsto \Theta=tan^{-1}(1.2)[/tex]
[tex]\\ \sf\longmapsto \Theta=50.1°[/tex]
PLEASE HELPPP
Make it true
5 23 18 8 4 = 100
You can use parentheses, +, -, x, and division PLEASE HELP PLEASEE
Answers
Answer:
5+23+18+8+4,=100
Step-by-step explanation:
plus
The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
5 + 23 + 18 x (8 - 4) = 100
Simplify the expression, then we have
5 + 23 + 18 x (8 - 4) = 100
5 + 23 + 18 x 4 = 100
28 + 72 = 100
100 = 100
The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
BRAINLIEST ASAP! Please someone help
Answers
Answer:
B. Distributive Property
Step-by-step explanation:
You are distributing the 2 to the x and 3.
Hopefully this helped!
Brainliest please?
i need answer asap pls help
Answers
Answer:
As the value of x increases, the value of y decreases.
Step-by-step explanation:
The bigger the x-value, the lower the y gets (also known as decreasing).
Hopefully this helped!
Brainliest please?
10 can someone please explain this
Answers
Answer:
B
Step-by-step explanation:
Since the 2 legs are congruent then the triangle is isosceles with the 2 base angles congruent , then
x = [tex]\frac{180-70}{2}[/tex] = [tex]\frac{110}{2}[/tex] = 55° → B
SOMEONE PLEASE I NEED HELL AND I WANT TO GO TO SLEEP, but there’s more than one answer btw
Answers
Answer:
The second one, third one and the fifth one should be correct. (7 to the 18th power divided 7 to the 9th power, 7 to the 3rd power to the 3rd power, and 7 to the 4th power times 7 to the 5th power)
Step-by-step explanation:
7 to the 8th power times 7 equal 40353607 so if you do all the equations shown you can rule out which ones equal 40353607 and which ones don't. Have a nice sleep!
Answer:
[tex]\frac{7^{18}}{7^{9}}[/tex], (7³)³ and [tex]7^{4}*7^{5}[/tex]
Step-by-step explanation:
[tex]7^{8}*7[/tex] = [tex]7^{9}[/tex] is equivalent to the following exponential expressions:
[tex]\frac{7^{18}}{7^{9}}[/tex], as it applies to the Quotient Rule of Exponents: [tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]. Therefore, you're essentially subtracting the exponents, resulting into [tex]7^{9}[/tex].
(7³)³: The Power-to-Power Rule of Exponents apply in this situation:[tex](a^{m})^{n} = a^{mn}[/tex]. Multiplying the exponent inside the parenthesis by the exponent outside the parenthesis results in an exponent of 9.
[tex]7^{4}*7^{5}[/tex]: the Product Rule of Exponents apply in this situation: [tex]a^{m}*a^{n} = a^{m+n}[/tex]. Adding the exponents of 4 to 5 results in an exponent of 9.
Please mark my answers as the Brainliest, if you find this helpful :)
a theater has 418 seats put in rows of 19 seats each. how many rows are in the theater
Answers
Answer:
22
Step-by-step explanation:
418 divided by 19 is 22.
Expanding Expressions: Expand the following expressions.
5 (r +2)
6b (b-2a)
8cd (c-2 +40)
Answers
Answer:
[tex]1) \: \: \: \: \: 5(r + 2) \\ \: \: \: \: \: \: \: \: 5r + 10 \\ \\ 2) \: \: \: \: \: 6b(b - 2a) \\ \: \: \: \: \: \: {6b}^{2} - 12ab \\ \\ 3) \: \: \: \: \: 8cd(c - 2 + 40) \\ \: \: {8c}^{2}d - 16cd + 320cd \\ {8c}^{2}d - 304cd[/tex]
Answer:
Expand the following expressions.
1. 5 (r +2)
= (5×r) + (5×2)
= 5r + 10
2. 6b (b-2a)
= (6b×b) - (6b×2a)
= 6b²-12ba
3. 8cd (c-2 +40)
= (8cd×c) - (8cd×2) + (8cd×40)
= 8c²d - 16cd + 320cd
= 8c²+ 304cd
An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takesThe total cost of the electrician's services can be determined using the equation C = 65t + 85 , where t is the number of hours the electrician spends at the house working . What is the slope of the equation and what is its interpretation in the context of the problem ?
Answers
Answer:
wheres the problem and question
Cai left his house for work and was gone 4 2/3 hours. he spent a total of 5/6 hours driving to and from work and didnt go anywhere else. How long was he at work?
A.5 1/2 hours
b. 3 5/6 hours
c. 3 1/6 hours
d. 4 1/6 hours
Answers
Answer:
[tex]4\frac{1}{6}[/tex] hours
Step-by-step explanation:
Substract total hours from hours Cai spent driving to find how long he was at work.
[tex]4\frac{2}{3}[/tex] - [tex]\frac{5}{6}[/tex] = ?
Substract the second expression [tex]\frac{2}{3} - \frac{5}{6}[/tex] by the first expression 4.
[tex]\frac{25}{6}[/tex]
Convert to a mixed number.
[tex]4\frac{1}{6}[/tex]
Therefore, the answer is [tex]4\frac{1}{6}[/tex] hours.
Someone help me with this please
Answers
Answer: in dababy tho i dk in the poyyyu
Step-by-step explanation: im a big kid now!
Two rays that share a common vertex?
Lines
Angles
Midpoint
Endpoint
Answers
Answer:
angles
Step-by-step explanation:
when two lines/rays intersect, they form angles
56.05 g divided by 13.3^3 cm = ?