Select all the correct answers.
Consider this polynomial.
p(x)=3x^3+11x^2-4x-6
Which statements are true?
Answers
Answer:
C, D
Step-by-step explanation:
1.)
the best way to figure this out is just plug in -2 for x
3(-2^3)+11(-2^2)-4(-2)-6
I put this into a calculator and get 22
2/3.) see attachment below for work
but C is correct
4.) in number one we determined that p(-2) =22 so yes
5.) we determined in 2/3 that it is in fact not, so no
The correct option for the polynomial is p(x) = 3x³ + 11x² - 4x - 6 are option 3 and option 4.
What is polynomial?ax² + bx + c, where a, b, and c are real numbers with a 0, is the formula for a quadratic polynomial in 'x' with real coefficients.
Degree: The degree of a polynomial is the highest exponent of the variable in the polynomial.
Calculation for the values of polynomial:
Step 1: Calculation for p(-2)To get the value of p(-2), at the place of 'x' put (-2) in the polynomial p(x).
p(x) = 3x³ + 11x² - 4x - 6
p(-2) = 3(-2)³ + 11(-2)² - 4(-2) - 6
p(-2) = 22
Thus, option 4 is correct and option 1 is incorrect.
Step 2: Calculate the quotient of p(x)To calculate the quotient divide the polynomial p(x) by (x +2)
The solution of this is attached in the file.
Therefore, option 3 is correct and option 2 is incorrect.
As, we can see from the division of polynomial p(x) by (x + 2) , the p(x) polynomial is not completely divisible by (x +2). Therefore, option 5 is also incorrect.
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Related Questions
Which of the following states the conditions that the graph meets?
OX2
Ox22
Oys2
Oy22
Answers
I just took it
Solve m+7=8
What dose m =
Answers
Mr. White is renting a small truck for one week and a few additional days d. He does not have to pay a per mile fee. Evaluate the expression 280+80d to find how much he will pay for a 9-day rental.
Answers
The amount of money paid for the 9-day rental will be $1000.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mr White is renting a small truck for one week and a few additional days d. He does not have to pay a per-mile fee. The expression is 280+80d.
The amount of money for a 9-day rental will be calculated as,
A = 280+80d
A = 280+(80 x 9)
A = $1000
Therefore, the amount of money paid for the 9-day rental will be $1000.
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A sel contains eleven elements.
a) How many subsets does it have?
b) How many proper subsets does it have?
Answers
Answers:
a) 2048b) 2047=============================================================
Explanation:
If a set has n elements inside it, then it has 2^n different subsets.
Consider a set like {a,b,c}. It has n = 3 elements.
It has 2^n = 2^3 = 8 subsets
Those 8 subsets are...
{a,b,c} ..... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } .... the empty setAs you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.
In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol [tex]\varnothing[/tex] or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.
--------------
Note how I included {a,b,c} as a subset. Any set is a subset of itself.
A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.
So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write [tex]2^{n} - 1[/tex]
--------------
For this problem, n = 11
This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.
The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
Here,
A set containing 11 elements.
We have to find number of Subsets and number of Proper subsets.
What is Proper subset of a set?
Set A is considered to be a proper subset of Set B if Set B contains at least one element that is not present in Set A.
Now,
Let a set containing n elements.
then, Number of subsets = [tex]2^{n}[/tex]
And, Number of proper subsets = [tex]2^{n} -1[/tex]
Hence,
A set containing 11 elements.
Number of subsets = [tex]2^{11} = 2,048[/tex]
And, Number of proper subsets = [tex]2^{11} -1 = 2,048 - 1 = 2,047[/tex]
Hence, The number of subset of a set containing 11 elements is 2,048
And, number of proper subset of a set containing 11 element is 2,047.
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Find the x-amd y-intercepts of the equation x-y=1
Answers
Answer:
x=9
y=8
Step-by-step explanation:
x-y=1
x=9
y=8
9-8=1
I need help with this
Answers
Answer:
5√2
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 5
hypotenuse (h) = x
sin 45 ° = p / h
1/√2 = 5 / x
x = 5√2
An electronics hobbyist has three electronic parts cabinets with two drawers each.
One cabinet has NPN transistors in each drawer, while a second cabinet has PNP transistors in each drawer. The third cabinet has NPN transistors in one drawer and PNP transistors in the other drawer. The hobbyist selects one cabinet at random and withdraws a transistor from one of the drawers.
a) What is the probability that an NPN transistor will be selected?
b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
Answers
Answer:
a) 0.5 = 50% probability that an NPN transistor will be selected.
b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types
c) 66.67% probability that it comes from the cabinet that contains only NPN transistors
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that an NPN transistor will be selected?
1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.
1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.
So
[tex]p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5[/tex]
0.5 = 50% probability that an NPN transistor will be selected.
b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?
Here we use the conditional probability formula.
Event A: NPN transistor
Event B: From the third cabinet.
50% probability that an NPN transistor will be selected, so [tex]P(A) = 0.5[/tex].
1/6 probability that it is from the third cabinet and NPN, so [tex]P(A \cap B) = \frac{1}{6}[/tex]
The desired probability is:
[tex]P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333[/tex]
0.3333 = 33.33% probability that it came from the cabinet that contains both types.
c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?
Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So
x + 33.33 = 100
x = 66.67
66.67% probability that it comes from the cabinet that contains only NPN transistors
Mohan has starts his Shop,during the first month following events that take place.
I. Mohan start business with cash Rs. 50,000, goods Rs. 10,000 and furniture Rs. 1,000.
II. Purchased goods for cash Rs. 30,000
III. Purchased goods on credit Rs. 20,000
IV. Sold goods (cost Rs. 10,000) for Rs. 12,000
V. Bought furniture on credit Rs. 2,000
VI. Paid cash to a creditor Rs. 15,000
VII. Sold goods to Sohan costing Rs. 1,500 for Rs. 1,800
VIII. Purchased household goods for Rs. 15,000, giving Rs. 5,000 in cash and balance through
a loan.
Required:
a) Analyze the transactions
a) Show the effect on accounting equation.
b) Record the transactions in journal entries
c) Post the journal entries
d) Prepares unadjusted trial balance.
Answers
Answer:
Step-by-step explanation:
He will finally have an amount of 3,500 Rupees
3. An exponential expression is point
considered in its simplest form
when the following are met
EXCEPT one, which is it? *
O A. No parentheses appear.
B. No powers are raised to powers.
O c No positive exponents appear
.
O D. Each base occurs only once.
Answers
Answer: C Powers doesn't have to be negative for it to be simplified example 3^5 is simplified we don't need it to be (1/3)^(-5), its simply unnecessary.
(8x²-1) (3x²-4x+5) standard form
Answers
Answer:
24x⁴ - 32x³ + 37x² + 4x - 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Step-by-step explanation:
Step 1: Define
(8x² - 1)(3x² - 4x + 5)
Step 2: Expand
Distribute/FOIL: 24x⁴ - 32x³ + 40x² - 3x² + 4x - 5Combine like terms: 24x⁴ - 32x³ + 37x² + 4x - 5need help with geometry
Answers
Answer:
A 38
Step-by-step explanation:
Since all the angles make up a circle which is 360 degrees, we can subtract all of the angle measurements we know from 360, in this case
360-298-24=38
a science class has two times as many girls as it has boys. a. Describe possible numbers of boys and girls in the science class.
Answers
Nora is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Nora need to invest, to the nearest dollar, for the value of the account to reach $7,600 in 20 years?
Answers
Answer:
P≈3216
3216
Step-by-step explanation:
Solve the following inequality.
(x-2)(x– 7)<0
Answers
pls help this is an ixl question and it really is hard
Answers
Answer:
It would be the first one... 10:25
Step-by-step explanation:
10/4=2.5
2.5*10=25
2.5*4=10
The angles of a triangle add up to 180 degrees.
The second angle is 20 degrees larger than the smallest angle.
The third angle is 3 times as big as the smallest angle.
Find the measure of the smallest angle (in degrees)
Answers
Answer: 32 degrees
Step-by-step explanation:
small angle : x
middle angle: x + 20
large angle: 3x
Form an equation: 5x + 20 = 180
5x = 180 - 20
5x = 160
x = 160/5
x = 32
Here is a circle and a scaled copy of the circle with a scale factor of `2`.
How does the circumference of the scaled copy compare to the circumference of the original circle?
Answers
Scale factor of 2 means green circle is twice the size of blue circle.
If C= πd and 2(d1) = d2, Then the circumference of the image (scaled copy) should be twice the circumference of the object (original circle).
PLEASE HELP SOLVE THIS WUESTION SOLVE FOR y
Answers
Answer:
y = 5
Step-by-step explanation:
12^2 + y = 13^ 2
144 + y = 169
169 - 144 = 25
sqrt of 25 = 5
y = 5
Answer:
A, y=5
Step-by-step explanation:
I just did it right now
Write an expression for the sequence of operations described below. Add 10 to 2, multiply r by the result, then raise what you have to the 8th power
Answers
Answer:
10+2×r^8 I hope this helps
Paisley has an action figure collection. She keeps 72 of the action figures on her wall,
which is 45% of her entire collection. What is the total number of action figures in
Paisley's collection?
Answer pls I will mark brainliest
Answers
Answer:
160
Step-by-step explanation:
Fill in the missing values:
a) 17 out of 85 = ? %
b) ? out of 90 = 17%
c) 1026 out of ? = 54%
d) 8.1% of 90 = ?
e) ? % of 50 = 90
f) 88% of ? = 154
Answers
a. 20%
b. 15.3
c. 1900
d. 7.29
e. 180
f. 175
Way to doa. 17 out of 85 how many percentage?
17/85 × 100 = 20%b. what is 17% of 90?
? /90 × 100 = 17? /90 = 17 : 100? /90 = 0.17? = 90 × 0.17 ? = 15.3c. 1026 out of ? = 54%
1026/? × 100 = 541026/? = 0.54? = 1026 : 0.54? = 1900d. 8.1% of 90 = ?
90 × 8.1/100 = 7.29e. ?% of 50 = 90
50 × ?/100 = 90?/100 = 90:50?/100 = 9/5? = 9/5 × 100? = 180f. 88% of ? = 154
? × 88/100 = 154? = 154 : 88/100? = 175For moderators who see this#Moderators please don't be mean, dont delete my answers just for approval from your senior or just to get the biggest moderation daily rank. This answer is long, how can you just instanly delete it? :(
Help need to do this in 10 min
List the integers that satisfy both these inequalities.
2x + 5 < 0
x>-8
Answers
Answer:
no satisfied
Step-by-step explanation:
because of the rules
Write the word sentences as an equation. Then solve the equation.
13 subtract from a number w is 15
An equation that represent this word sentences is ?
The solution is w = ?
Answers
w=28
Camille has already baked 1 cake, and she can bake 2 cakes with each additional stick of butter she buys. Write an equation that shows the relationship between the number of additional sticks of butter and the number of cakes y
Answers
Answer:
1+2x=y
Step-by-step explanation:
X: Number of sticks
Y= number of cakes
There is already one cake, so you must add one to the equation. You multiply x by two since 1 stick of butter (x) makes two cakes.
an electric wire which is 0.12 m long is cut into 3 pieces of the same length.How long is each pieces?
Answers
Answer:
0.04m
Step-by-step explanation:
0.12/3=0.04
Answer:
Step-by-step explanation:
Total length of a wire = 0.12 m
If the wire is divided into 3 equal pieces then
Length of each piece
= 0.12 / 3
= 0.04 m
hope it helps :)
What is 46% of 22? Use a fraction and express your answer in simplest form.
10
8
11
10
Answers
Hope this helps!!!
Answer:
10.12 as a fraction equals 1012/100
Step-by-step explanation:
To write 10.12 as a fraction you have to write 10.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
10.12 = 10.12/1 = 101.2/10 = 1012/100
What is the value of y when x = 7?
y=4x+32
Enter your answer in the box.
Answers
Answer:
y=60
Step-by-step explanation:
plug in the 7
y=4(7)+32
4x7=28
y=28+32
=60
pls give brainliest
please look at the photo below or above
Answers
Answer:
[tex]Opposite =- \frac{4}{5}[/tex]
Step-by-step explanation:
Given
[tex]Number = \frac{4}{5}[/tex]
Required
Determine its opposite
To get the opposite of a number, we simply subtract it from 0.
So, we have:
[tex]Opposite =0 - \frac{4}{5}[/tex]
[tex]Opposite =- \frac{4}{5}[/tex]
Hence, the opposite is -4/5
All I want to know is the formula and I will do the rest...pls someone help me with the formula...
Answers
Hey in this type of questions there's no formula, you need to use your logic.
#Note that the full degree or a triangle is 180°
#The L in triangle is 90°
I see that you want to try to do it by yourself, i will give you the tips. to get the <BAD
#since <DAC is 90°, The ADB is 90° (180°-90°)
<BAD = 180° - 90° - 25° = 65°
Now, try to find <BCA yourself.
Tell me if you give up, i will tell you lol.
Hello pls help me with two of these questions;)
Answers
Answer:
1-A-15
2-C
Step-by-step explanation:
7-21 is an increase by 3 times, so 5*3=15
The second is kinda blurry, so it's a little hard to explain.