Answer:
Step-by-step explanatio
may not be real numbers. Our final theorem in the section gives us an upper bound on the number
of real zeros.
Theorem 3.7. Suppose f is a polynomial of degree n ≥ 1. Then f has at most n real zeros,
counting multiplicities.
Theorem 3.7 is a consequence of the Factor Theorem and polynomial multiplication. Every zero c
of f gives us a factor of the form (x − c) for f (x). Since f has degree n, there can be at most n of
these factors. The next section provides us some tools which not only help us determine where the
real zeros are to be found, but which real numbers they may be.
We close this section with a summary of several concepts previously presented. You should take
the time to look back through the text to see where each concept was first introduced and where
each connection to the other concepts was made.
Connections Between Zeros, Factors and Graphs of Polynomial Functions
Suppose p is a polynomial function of degree n ≥ 1. The following statements are equivalent:
• The real number c is a zero of p
• p(c) = 0
• x = c is a solution to the polynomial equation p(x) = 0
• (x − c) is a factor of p(x)
• The point (c, 0) is an x-intercept of the graph of y = p(x)
3.2 The Factor Theorem and The Remainder Theorem 265
3.2.1 Exercises
In Exercises 1 - 6, use polynomial long division to perform the indicated
PLEASE HELP!
BRAINLIEST ANSWER!!!!!!!!
Answer:
1) 1. 3/5
2. 6/10 which simplifies to 3/5
3. 9/15 which simplifies to 3/5
Step-by-step explanation:
let me know if there are specific questions you want me to answer. I did the first one, but I don't have time to answer them all right now. hopefully this gives you a good start
[tex]b:8:10=3:4:5\\ 9:12:15=3:4:5\ \left\{Calculation\right.[/tex]
[tex](3\times4):(4\times4):(5\times4)=12:16:20[/tex]
[tex]so\ the\ ratio\ will\ be\ the\ same[/tex] ← Answer
6 cm
5 cm
13 cm
Area of figure
Answer:
option A by symmetry of figure.and then using formula of triangle and rectangle.
Step-by-step explanation:
The sum of two
numbers is 152 and
their difference is 40.
Find the two numbers.
Answer: The numbers are 96 and 56
Step-by-step explanation:
x+y=152
x-y=40
If you subtract the equations from one another, you will get
x+y=152
-(x-y)=40
So, 2y=112, making y=56
If you plug y=56 into x+y=152, you will get x=96
Timothy invested a total of $7,500 in two accounts. One account pays 3% interest annually; the other pays 2% interest annually. At the end of the year, Timothy earned a total of $175 in interest. Write and solve a system of equations' to find how much money Timothy invested in each account.
Timothy invested ___in 3% account and ______in the 2% account
Answer:
Timothy invested $2500 in 3% account and $5000 in the 2% accountStep-by-step explanation:
Let the investments be x and y.
Required equations are:
x + y = 75000.03x + 0.02y = 175Solve the system by elimination, multiply the second equation by 50 and subtract the first one:
50(0.03x) + 50(0.02y) - x - y = 50(175) - 75001.5x - x = 12500.5x = 1250x = 2500Find the value of y:
2500 + y = 7500y = 5000Providing brainliest
Answer:
Question 1:
Perfect square trinomial
A trinomial has three terms
Question 2:
Neither
The polynomial only has one term that is being squared.
what is the value of a
Anyone know the answer?
Math isn't my strong suit I need some help.
What is the slope of the line shown in the graph? A) Undefined B) Zero C) Slope = 3 D) Slope = −3
square root of 15, 2 times the square root of 3, 3 times the square root of 3, square root of 17 least to greastes get it right and u win 100 dollars
Answer: 9
Step-by-step explanation: Im guessing right now
Given that x =6 and Y = -4 evaluate each of the following expressions
2x^2 - y^3
Answer:
136
Step-by-step explanation:
2(6)^2-(-4)^3
2(36)+64
72+64
-Hope it helps :)
perform the following operation and express the answer in scientific notation 5.450x10^-4x3.550x10^-7
Answer: 5.450 x 10^-4 x 3.550 x 10^-7
19.3475 x 10^-11
1.935 x 10^10
Answer:
1.93475 x 10^-10
Step-by-step explanation:
5.450X10^-4 * 3.550X10-7
= 1.93475 x 10^-10
A.) what are the slope and y-intercept for the linear function represented in the table
B.) write the equation in Y=MX+B form
The circumference of a circle is 69.08 meters. What is the circle's radius? Use 3.14 for .
Answer:
Circumference = 2πr
69.08 = 2× 3.14 × r
69.08 ÷ 6.28 = r
11m = r
Answer: 22
Step-by-step explanation: Divide the total by pi or 3.14 and the diameter is 22 and the radius is 11
Functions need 4,5 and 6!!! With work please!!
Step-by-step explanation:
You plug in the number that needs to be plugged in and then you solve like a normal equation.
Can someone please answer this for me
Answer:
x=18
Step-by-step explanation:
We'll assume that the shorter sides are AB and CD. Then 7x-6=5x+30. You add 6 to both sides. 7x=5x+36. Isolate x. 2x=36. Divide, and x=18.
Which answer choice shows the decimals in order from greatest to least ?
A. 1. 234,1. 237,1. 2,1. 48,2. 01
B. 1. 2,1. 234,1. 237,1. 48,2. 01
C. 2. 01,1. 48,1. 237,1. 234,1. 2
D. 1. 2,1. 48,2. 01,1. 234,1. 237
100 POINTS. ILL GIVE BRAINLIEST TO THE FIRST PERSON WHO GETS IT RIGHT.
Answer:
a
Step-by-step explanation:
Total for Likes Burritos: 70
Does not like burritos: 81
Total for does not like hamburgers: 95
I don't fully know if it's right because I got help from someone else
Geometric series:
Please help quick!
Answer:
The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.
Neuron Function: Food Preservation
Fertilizer Meaning: Exocrine Glands
Food Chain Examples: Cell Biology
There is 1/6 of an extra large pizza left over. If three friends share the pizza equally, what fraction of a whole pizza will each friend get?
Answer:
1/18
Step-by-step explanation:
Based on the given conditions, formulate: 1/6 divided by 3
Calculate the product or quotient: 1/18
Convert to fraction: 1/18
Solve 2x^2 - 4x - 3 = 0
Using the Quadratic formula
(Show step by step how to get the answer because I gotta show my work)
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Answer:
C
Step-by-step explanation:
the measure of an inscribed angle is half the measure of its intercepted arc, so
arc DE = 2 × ∠ DFE = 2 × 18° = 36°
DF is a diameter of the circle , then
arc DEF = 180° , then
arc EF = 180° - 36° = 144°
Now
mEF and m DE lies in one line hence supplementary
mEF:-
180-36144°if 1 pound=Rs.135 and dollar 1=Rs105 then convert pound 63 into dollar
Answer:
81
Step-by-step explanation:
63×135=8505
8505÷105=81#
In 63 pounds, there are equivalent 81 dollars.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement.
For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given is that -
1 pound = Rs.135
1 dollar = Rs. 105
Now, we can write that 1 rupee as -
Rs. 1 = 1/105 dollar
So, in 1 pound we can write -
1 pound = 135 x 1/105 dollars
63 pounds = 63 x 135 x 1/105 = 81 dollars
Therefore, in 63 pounds, there are equivalent 81 dollars.
To solve more questions on triangles, visit the link-
https://brainly.com/question/2773823
#SPJ2
Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y = a b ln(x) to model the data. A = b =.
The value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
What is logarithmic regression?Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.
The data of the table for the day and height of the stalk of corn is listed below.
Day (x) 9 12 22 40
Height (y) in 5 17 45 60
Mean of x values,
[tex]m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581[/tex]
Mean of y values,
[tex]m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75[/tex]
For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,
[tex]y = -76.2038+37.6735\ln(x)[/tex]
Compare it with the following logarithmic regression equation, we get
[tex]y = a+b\ln(x)[/tex]
[tex]a=-76.2038\\b=37.6735[/tex]
Hence, the value of a and b for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.
Learn more about the logarithmic regression here;
https://brainly.com/question/25226042
Answer: a= -76.204
b= 37.673
51 days
Step-by-step explanation:
What was the Enlightenment, and how did it change they way people viewed government? Write your answer in complete sentences.
Answer:
The Enlightenment was a seventeenth- and eighteenth-century intellectual movement that aimed to better society via fact-based reasoning and investigation. The Enlightenment introduced secular ideas to Europe, changing people's perceptions of problems like liberty, equality, and individual rights. Today, such ideas are the bedrock of the world's most powerful democracies.
Step-by-step explanation:
two ideas that emerged from the Enlightenment:
Intellectuals like Jean-Jacques Rousseau and John Locke introduced the idea that no monarch should have absolute authority. Both claimed that leaders' authority came from the people, not from God. And, according to Locke, if people disagreed with their leader, they had the right to have their government replaced with one that honored their rights.
Pre-Enlightenment Equality Powerful individuals known as the nobility had exclusive privileges to buy land, avoid taxes, and hold privileged jobs across Europe, while the lowest elements of society battled to make ends meet. The Enlightenment questioned this system, with intellectuals such as John Locke arguing that all men are created equal and that no one should be born with more power than another.
Joey is saving up enough money to purchase a game that costs $76. 75. He has $15. 50 saved and is going to save an additional $12. 25 per week. Solve the equation that represents this situation to determine how many weeks it will take Joey have enough money for his game
Answer:
It would take Joey 5 weeks
Step-by-step explanation:
76.75-15.50 = 61.25
61.25/12.25=5
Write an equation for the translation of y = 4/x that has the given asymptotes x = 2, y = 2
Show work
According to the given asymptotes, the equation for the translation of the function is:
[tex]y = \frac{4}{x - 2} + 2[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the function is:
[tex]y = \frac{4}{x}[/tex]
The vertical and horizontal asymptotes are, respectively, given by: x = 0, y = 0.
To have the desired asymptotes, the function has to be shifted 2 units to the right and 2 units up, hence it is given by:
[tex]y = \frac{4}{x - 2} + 2[/tex]
More can be learned about translations at https://brainly.com/question/4521517
Maggie recorded her summer reading in the table below.
Problem
What is the constant of proportionality that relates number of pages read, y, to the number of hours she read, x?
Answer:
can I see the table so I can see where your x and y is
Help Please I Need It Please
Step-by-step explanation:
just think calm and logically.
what are the parts of the surface area ?
rest assured, there is no such thing like a general equation for the surface area of a prism.
well sure, there could be, but there are so many different variations, to describe them would be more complicated than the formula. so, we only have a general approach for the volume of such regular prisms (ground area × height).
but for the surface area we just have to break this problem into smaller problems we can easily solve and then add the results together.
so,
we see, there are 5 sides of this special prism.
top, bottom, left, right and front.
so, we need to calculate these 5 areas and simply add them up.
left and right are rectangles. one is
11×18 = 198 in²,
the other is
12×18 = 216 in², together they are 414 in².
the front is a rectangle
8×18 = 144 in²
top and bottom are equal triangles. each is
8 × height / 2
or per Heron's formula
A = sqrt(s(s -a)(s - b)(s -c)) where s = (a + b + c)/2
our s here is
s = (8 + 11 + 12)/2 = 15.5
A = sqrt(15.5×7.5×4.5×3.5) = sqrt(1830.9375) =
= 42.78945548... in²
both together are 85.57891095... in²
so, the total surface area is
414 + 144 + 85.57891095... = 643.578911... in²
if we need to round to e.g. whole square inches, this would be
644 in²
Help I need help with this problem 100 points 100^5+10^2 equal what.
Answer:
10000000100
Step-by-step explanation:
brainliest please or 100 points
Can -2/x be equal to x^-1? Why?
[tex]\mathbb{FINAL\;ANSWER:}[/tex]
[tex]\huge\boxed{\sf{Nope}}[/tex]
[tex]\mathbb{SOLUTION:}[/tex]
Hi! Hope you are having a nice day!
Recall the Properties of Exponents:
[tex]\rm{a^{-b}=\displaystyle\frac{1}{a^b}[/tex]
Let's use this property to solve:
[tex]\rm{x^{-1}[/tex]
According to the property, we should flop the number over:
[tex]\rm{\displaystyle\frac{1}{x^1}[/tex]
Is that equal to [tex]\displaystyle\frac{-2}{x}[/tex]?
No.
Hope you could comprehend everything.
#CarryOnLearning