Find k if (x+1) is a factor of 2x³ + kx² + 1
Answer:
k = 1
Step-by-step explanation:The factor of a polynomial F(x) is another polynomial that divides evenly into F(x). For example, x + 3 is a factor of the polynomial x² - 9.
This is because;
i. x² - 9 can be written as (x - 3)(x + 3) which shows that both (x - 3) and (x + 3) are factors.
ii. If x = -3 is substituted into the polynomial x² - 9, the result gives zero. i.e
=> (-3)² - 9
=> (9) - 9 = 0
Therefore, if (x + a) is a factor of a polynomial, substituting x = -a into the polynomial should result to zero. This also means that, if x - a is a factor of a polynomial, substituting x = a into the polynomial should give zero.
From the question
Given polynomial: 2x³ + kx² + 1
Given factor: x + 1.
Since x + 1 is a factor of the polynomial, substituting x = -1 into the polynomial should give zero and from there we can calculate the value of k. i.e
2(-1)³ + k(-1)² + 1 = 0
2(-1) + k(1) + 1 = 0
-2 + k + 1 = 0
k - 1 = 0
k = 1
Therefore the value of k is 1.
PLEASE HELP! WAYYY OVERDUE!!!
Look at the box plots and decide whether each team's distribution is symmetric or skewed negatively or positively.
Answers:
Red = negative skewYellow = symmetricBlue = positive skew================================================
Explanation:
A symmetric distribution is where we have the left half be a mirror copy of the right half. In other words, we have symmetry going on.
For the yellow team, note the distance between Q1 and the median is 1 unit (47-46 = 1), and so is the distance from the median to Q3 (48-47 = 1). So the box portion has perfect symmetry. You should find that the whiskers are also perfectly symmetric as well using a similar technique of finding the distances and comparing them.
Overall, the entire box-and-whisker plot for the yellow team is perfectly symmetric.
---------------
If a distribution isn't symmetric, then it's skewed in some way. If the right side is pulled longer than the left, then we consider it "skewed to the right" aka "positively skewed". So that applies to the blue team. The red team has negative skew because its left tail is longer than the right tail.
In 2009, a school population was 1,700. By 2017 the population had grown to 2,500. Assume the population is changing linearly.
Find an equation for the population, P, of the school t years after 2009.
Answer:
P(t) = 100t + 1900
Step-by-step explanation:
∆P = 2500 - 1700 = 800
∆t = 2017 - 2009 = 8
m = ∆p/∆t = 800/8 = 100
b = initial pop = 1900
using slope intercept form
P(t) = 100t + 1900
Help pleaseeeeeeeeeeeeeeeeeeeeee ASAP
no files just type it in thank you.
Answer:
True
Step-by-step explanation:
[tex]3[/tex] · 10 = 30
30 = (3 · 5) + (3 · 5)
30 = (15) + (15)
30 = 30
True
Given the function g(x) = 3x² - 5, find the values of t such that g(x) = -7/2t.
Answer:
Step-by-step explanation:
-7/2t = 3x^2 - 5
t = -2(3x^2 - 5)/7
The value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function:
g(x) = 3x² - 5
To find the value of such that g(x) = -(7/2)t
Equate both the equations:
3x² - 5 = -(7/2)t
After simplification:
t = [2/7](5 - 3x²)
The above equation represents the value of t.
Thus, the value of t is given by the equation t = [2/7](5 - 3x²) if the function g(x) = 3x² - 5.
Learn more about the function here:
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What are the numbers between the lower quartile and the upper quartile called in a box-and-whisker plot?
Open ended quistion
Answer:
lower quartile would be Q1 and the upper quartile would be Q3
find the volume of the cone. the radius is 5 and the height is 3
Answer:
V= 78.54
Step-by-step explanation:
A package of cups contain exactly 6 blue cups.The probability of choosing a blue cup from the package is 3/5.How many of the cups in the package are not blue?
Answer:
There are 4.
Step-by-step explanation:
If there are 6 blue cups, and the blue cups make up 3/5th of the total cups, you can divide 6 by 3/5 to find the total amount of cups, which is 10. Then, you do 10-6 to find how many cups in the package are not blue.
Helpppppppppppp..!!!!!’nnnnmmmm
Step-by-step explanation:
heyYYYYYYYY I HAVE AGREAT APP FOE U. it's called algebrator use that and it'll help ya
Question 2 : Two lines meet at a point that is also the endpoint of a ray. Set up and solve an equation to find the value of a.
Answer:
you should draw it in your graph sis
give me some points i have question two
Step-by-step explanation:
Which number could represent point Z
What is the value of u?
Answer:
you on the games
Step-by-step explanation:
Answer:
I think its 58
Step-by-step explanation:
[(4096)⁰]⁻⁴ =
a)1/(4096)⁴
b)-4
c)4096
d)1
[(4096)⁰]⁻⁴ = (4096)⁰ = 1
OPTION D
what is the answer pleaseee
Answer:
7
Step-by-step explanation:
In most cases the first step is to create an equation to solve for the missing variable
But in this case we are already given the equation
(7.25h + 5 = 6.5h + 10.25)
All we have to do is solve for h
7.25h + 5 = 6.5h + 10.25
Step 1 subtract 5 from both sides
7.25h = 6.5h + 5.25
Step 2 subtract 6.5h from both sides
0.75h = 5.25
Step 3 divide both sides by .75
h = 7
So at 7 hours the cost will be the same for both instructors
can someone help me find the function please
PLZ HELP IF RIGHT THEN YOU'LL GET BRAINLIEST
One year, the population of a city was 346,000. Several years later it was 339,080. Find the percent decrease.
Answer:
2% decrease
Step-by-step explanation:
Steps to find percent decrease:
- Subtract starting value minus final value
- Divide that amount by the absolute value of the starting value
- Multiply by 100 to get percent decrease
30) Find the sine, cosine, and tangent of
Answer:
sin < C = c/a
cos < C = b/a
tan < C = c/b
solve the proportion : 4/7=52/x
If charlie bikes at an average speed of 7miles per hour how many hours will take to ride 28 miles
Answer:
It will take him 4 hours.
Step-by-step explanation:
7x4= 28 miles
what is 0.8 divided by 62 as a decimal please help this is a finals
0.8 divided by 62 equals 0.80 or 80 percent (%)
Answer:
0.0129032258
Step-by-step explanation:
I simply did long division.
0.8 divided by 62 = 0.0129032258
Brainliest question!
What’s the digit you need to input in the space with the question mark to complete the code for the safe? Here’s a hint to save you some stress: The “Safe A08” text on the bottom is meaningless, so don’t waste time trying to figure out if that will help you get the answer!
Answer:
4 will replace?
Step-by-step explanation:
as 3-2=1
6-4=2
4-1=3
8-2=6
again
3-2=1
so
6-x=2
6-2=x
4
plz mark it as brainliest answer
Complete the square of the quadratic equation x^2 - 2x - 35 = 0. What is the vertex of the equation?
( )( )
Answer:
Step-by-step explanation:
x^2 - 2x - 35 = 0
Solve for x over the real numbers:
x^2 - 2 x - 35 = 0
Add 35 to both sides:
x^2 - 2 x = 35
Add 1 to both sides:
x^2 - 2 x + 1 = 36
Write the left hand side as a square:
(x - 1)^2 = 36
Take the square root of both sides:
x - 1 = 6 or x - 1 = -6
Add 1 to both sides:
x = 7 or x - 1 = -6
Add 1 to both sides:
Answer: x = 7 or x = -5 as for the vertex plane curve | Cartesian equation x^2 - 2 x - 35 = 0 | vertex (not a possible affine variety)
If a test consists of ten multiple choice questions with each permitting a possible answers. How many ways are there in which a student give his answer?
The question isn't correctly given, a possible format is in the comment below, however, the explanation will cover then concept which can be applied to different but similar
Answer:
10048576 ways
Step-by-step explanation:
We are given a question, from which we can choose aby of 4 options, this gives ua 4 possible choices for 1.
This will also apply if we have more than 1 question with the same number of options.
This can be called the product rule, as each possibility is the same of each question given :
Therefore, given 10 questions:
. We have
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 4^10 = 10048576 ways
Solve for X.
please help
Answer:
x = 10
Step-by-step explanation:
We can use ratios to solve
Side over bottom
5 5+3
---- = --------
x 16
Using cross products
5 * 16 = (5+3)*x
80 = 8x
Divide by 8
10 = x
x = 10. This is a dilation. To find x, you must first find what you are dilating and by how much. 8 is the starting value, and 5 is the newer value. 5 divided by 8 is .625. Then multiply.625 by 16, to get 10, or x
Find the slope of a line through (4, 5) and (4, -5). Determine if the line is vertical, horizontal, or neither.
Answer:
Its a straight line
Step-by-step explanation:
4. Convert the following fractions to decimals
1. 23/100
Answer:
0.23
Step-by-step explanation:
Using either long division or a calculator, divide 23 by 100; you will get the result 0.23.
Answer:
0.23 hope tbis helps :)
Step-by-step explanation:
This negative when developed will produce a 4” by 6” photograph. What is the length of each negative, if the width is 24 millimeters
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation:
Helppp me pleaseee ASAP
Answer:
$856.91 after 7 years
Step-by-step explanation:
Initial investment, P = 500
Interest rate, i = 8% (compounded once a year, i.e. annually)
Number of years, t = 7
Substitute in compound interest formula
Future value,
A = P (1 + 0.08/1) ^(1*7)
= 500 (1.08)^7
= 856.91 (to the nearest cent)
The solution to the system below is (1, -3).
2y + x = -5 and y - 3x = -6
Which graph correctly represents this?
The graph correctly represents this system is attached below.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We are given system of equation as;
2y + x = -5
y - 3x = -6
The solution to the system of equations is given as (x, y) = (1, -3).
The solution to the system of equations ploted on the graph is the point where the lines intersect.
The coordinates of the point of where the lines cross are (1, 3).
Learn more about equations here;
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