Answer:
Yes.
Step-by-step explanation:
We want to determine if (x + 1) is a factor of the polynomial:
[tex]x^4 + 2x^3 + 2x^2 - 2x -3[/tex]
According to the Factor Theorem, if a binomial in the form (x - a) is a factor of a polynomial P(x), then P(a) must equal zero.
Our binomial factor is (x + 1) or (x - (-1)). Hence, a = -1.
Let our polynomial be P(x). Find P(-1):
[tex]\displaystyle\begin{aligned} P(-1) &= (-1)^4 + 2(-1)^3 +2(-1)^2 -2(-1) -3 \\&=0\end{aligned}[/tex]
Therefore, since the resulting value is indeed zero, (x + 1) is indeed a factor of the given polynomial.
In conclusion: yes.
multiply 3a and (2a+6b
Step-by-step explanation:
3a(2a+6b)
3a×2a+3a×6b
6a²+18ab
what is the answer for baby eleaphants
Answer:
3?
Step-by-step explanation:
im not sure tho
(-2xy + 3 )(xy-1) e cần câu trả lời gấp ạ
HELP PLEASEEEEEE PLEASEEEEE PLEASEEEEEE
Hey there! I'm happy to help!
When evaluating the value of an expression, we need to follow the order of operations which is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction).
First, we will evaluate the exponent. 3² is 3×3 which is 9.
[tex]\frac{9+2*8}{16-11}[/tex]
Now we have to do multiplication. Since the multiplication sign is between the 2 and the 8, that is what we multiply.
[tex]\frac{9+16}{16-11}[/tex]
Then we will do our addition and subtraction.
[tex]\frac{25}{5}[/tex]
Since all fractions are just division problems, we can do 25÷5.
25÷5=5
So, the value of this expression is 5.
Have a wonderful day and keep on learning! :D
You invest $2700 in an account at 1.5% per year simple interest. The equation that represents this scenario is:
A(n) = 2700 + (n – 1)(0.015 • 2700)
How much will you have in the account in year 5? Round your answer to the nearest dollar.
Answer:
put n = 5
A(5)= 2700+(5-1)*0.015*2700=
Barbara requires 2 gallons of paint to cover an area of 800 square feet. Identify the graph for the relationship from quantity to the area covered, and the parent function that best describes it. Then use the graph to estimate how many gallons of paint Barbara requires to paint an area of 2,400 square feet.
Answer:
6
Step-by-step explanation:
x = area to be painted
y = gallons of paint needed
we know already one point of that function/graph :
x = 800
y = 2
so, for a simple relationship between the 2 variables we can assume
y = ax
2 = a×800
a = 2/800 = 1/400
so, we get
y = (1/400) x
for 2400 ft²
y = 1/400 × 2400 = 1/4 × 24 = 24/4 = 6
she needs 6 gallons of paint for 2400 ft².
6 gallons of paint are required to cover 2400 ft² area.
Graph options aren't given ; however, we could still obtain the required solution using the information given :
2 gallons covers 800 ft²
Let the number of gallons to cover 2400 feets = x
Using cross multiplication :
2 gallons = 800 feets
x gallons = 2400 feets
Cross multiply :
800 × x = 2400 × 2
800x = 4800
Divide both sides by 800
x = 4800 / 8
x = 6
Hence, 6 gallons of paint are required to cover 2400 ft².
Learn more : https://brainly.com/question/18109354
Solve using any method. All work must be shown and handwritten.
3x-y=-10
x+y=-2
show how it is solved please <3
Answer:
[tex]x = - 3[/tex]
[tex]y = 1[/tex]
Step-by-step explanation:
Write the system
[tex]3x - y = - 10[/tex]
[tex]x + y = - 2[/tex]
Solve by Elimination.
multiply the second equation by -3.
[tex]3x - y = - 10[/tex]
[tex] -3x - 3y = 6[/tex]
Add the Equations.
[tex] - 4y = - 4[/tex]
[tex]y = 1[/tex]
Plug this back in one of the equations.
[tex]x + 1 = - 2[/tex]
[tex]x = - 3[/tex]
Answer:
x = -3
y = 1
Step-by-step explanation:
3x - y = -10
x + y = - 2
x + y = - 2
x = -y - 2
replacing in other equation
3(-y - 2) - y = -10
-3y - 6 - y = - 10
rearranging the equation
-3y - y = = -10 + 6
-4y = -4
y = 1
putting this value in first eqn we get
x - y = -2
x - (1) = -2
x = -2-1
x = -3
8,760 divided by 96 with a perfect explanation that is perfectly clear step by step
Answer:
91,25
Step-by-step explanation:
the step by step is on the picture! :)
2(4x+5)−3x=9−(7−3x)
SHOW WORK
Let A = 0, 1 , B = 2, 3, 4 and C = 3, 5 verity that A x (BUC) = (AXB) U (AXC)
A = {0, 1}
B = {2, 3, 4}
C = {3, 5}
Then we have
A × (B U C)
= {0, 1} × {2, 3, 4, 5}
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and
(A × B) U (A × C)
= {{0, 2}, {0, 3}, {0, 4}, {1, 2}, {1, 3}, {1, 4}} U {{0, 3}, {0, 5}, {1, 3}, {1, 5}}
(underlined pairs are duplicates and common to both A × B and A × C)
= {{0, 2}, {0, 3}, {0, 4}, {0, 5}, {1, 2}, {1, 3}, {1, 4}, {1, 5}}
and these two sets are clearly identical.
Simplify: (3) + (-4)
Answer:
it should -1 because you have to evaluate the number
Write an Algebraic expression for the following phrases. K. The sum of a number m and 15 L. 6 more than a number x M. 8 less than N. 27 of a number N. The sum of three consecutive integers 0. The sum two consecutive even integers
1:-
[tex]\\ \sf\longmapsto m+15[/tex]
2:-
[tex]\\ \sf\longmapsto x+6[/tex]
3:-
[tex]\\ \sf\longmapsto r-8[/tex]
4:-
[tex]\\ \sf\longmapsto \dfrac{3}{4}x=\dfrac{3x}{4}[/tex]
5:-
[tex]\\ \sf\longmapsto n(n-1)(n-2)=n![/tex]
6:-
[tex]\\ \sf\longmapsto n+(n+2)=2n+2[/tex]
What is s²t-10 if s=-8 and t=[tex]\frac{3}{4}[/tex]
Hi ;-)
[tex]\text{s}=-8 \ \text{and} \ \text{t}=\frac{3}{4}\\\\\text{s}^2\text{t}-10=(-8)^2\cdot\frac{3}{4}-10=\\\\=64\cdot\frac{3}{4}-10=16\cdot3-10=48-10=\boxed{38}[/tex]
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
A. cannot be determined
B. 1
C. 2
D. 0
One
Is it 2x-3x+8=0,right?
Answer:
D. 0
Step-by-step explanation:
the answer to the equation is 0
3.
Find the number of real number solutions for the equation. x2 – 3x + 8 = 0
cannot be determined
1
2
0
Helppppp
The area of a rectangular parking lot is 6364 m². If the width of the parking lot is 74 m, what is its length?
Length of the parking lot:
Answer:
86m
Step-by-step explanation:
Area of rectangle = length x breadth
Area of rectangle = 6364m²
Breadth of rectangle = 74m
6364 = length x 74
length x 74 = 6364
length = 6364/74 = 86m
4 - 2(x-4)/ 3= 3(2x+5)/2
pls answer fast
Answer:
-21/22
Step-by-step explanation:
1.Apply fraction cross multiply
2. Simplify
3.Expand
4.Subtract 24 from both sides
5.simplify
6. Subtract 18x form both sides
7.Simpiify, then divide both sides by -22to get answer.
l find it difficult to solve this problem. Please help.
Answer:
27 square are there in the given figure
i want to ask a question
Answer:
D
Step-by-step explanation:
Please help by September 7th
Answer:
Q1: 14
Q2:Yes
Step-by-step explanation:
Q1: 172.5-25.5=147
147/10.5=14
Q2: 22.50+10%=24.75
24.75-20%=19.8
what is the probability i will roll a 4 or multiple of 3 on a standard # cube
Answer:
probability is 1/2
Step-by-step explanation:
multiples of 3 that will occur in standard dice = 3,6
hence, theres 3 occasions that u will roll a 4 or multiple of 3 on a standard # cube:
3/6 = 1/2
i need help please
Which of the following values are solutions to the inequality —8 – 4x > 1?
1. -10
2.-1
3. 6
Answer:
option 1. -10
Step-by-step explanation:
—8 – 4x > 1
adding 8 on both sides,we get
-8-4x+8>1+8
-4x>9
by dividing both sides by -4, we get
-4x/-4<9/-4
x<-2.25
Hence, from the above option only -10 is smaller than -2.25. Therefore your answer is option 1.
I hope it helped U
stay safe stay happy
A carpenter had a piece of wood 10 feet long. She cut the wood into pieces 1 1/4 feet In length. How many pieces of wood did she cut
Answer:
8
Step-by-step explanation:
10/(5/4) = 8
1 1/4 = 5/4
12 1/4 + 11.14 =
[tex]12 \frac{1}{4} + 11.14[/tex]
Answer:
166.25
Step-by-step explanation:
12 1 /4 + 154
166 1/4
665/4 , 166.25
Hey there!
12 1/4 + 11.14
= 49/4 + 11.14
= 12.25 + 11.14
= 23.39 or 23 39/100
Answer: 23.39 or 23 39/100
Good luck on your assignment and enjoy your enjoy your day!
~Amphitrite1040:)
The value of tan1°tan2ºtan3⁰ (a) 0 (b)-1 (c) 1 (d) 2 tan890 is equal to
Step-by-step explanation:
Answer-
b) 1
A man is37years old and his child is eight.how many years ago was the product of their ages 96
Answer:
WHEN X =5 LHS = 32*3 => 96 IS EQUAL TO RHS. therefore five years ago their product of ages is equal to 96.
hope this helps!
PLEASEE HELP I WILL GIVE A BRAINLY
Answer:
a) 7x words
b) 1000/x days
c) 15000 + 10x words
Step-by-step explanation:
The best way to do this would be to plug in real numbers to see how each situation would play out. For example, for part a, let's say he learns 20 new words each day. One week has seven days, so that would be 20 x 7, which is 140 words. You multiply the # of days by the # of words, which is x.
For part b, if he tried to reach 1000 new words by doing 20 new words a day, you would find how long that would take by doing 1000 / 20, which would give you 500 days. You divide the # of new words he's trying to reach by the # of words a day.
For part c, he already has a set # of new words that he's learned, and now he's just continuing the progress, so you start out with 15000, then add that to 10 new words a day multiplied by # of days (x).
The H.C.F. of m²-n² and (m-n)² is ...
Answer:
(m-n)
Step-by-step explanation:
1st expression=
[tex] = {m}^{2} - {n}^{2} \: \: \: \: \: \: \: \: \: \: [/tex]
=(m-n) (m+n)
2nd expression=
[tex] ({m - n})^{2} [/tex]
=(m-n)(m-n)
therefore H.C.F=(m-n)
taking common (m-n)
Please help its due in 30 minutes will mark braniliest
Answer:
coplanar
Step-by-step explanation:
coplanar means that they lie on the same plane.
Answer:
I think the answer is coplaner
Find the mean, median, mode, and range of the data set.
5, 10, 17, 12, 9, 15, 10
If necessary, round your answers to the nearest tenth.
Answer:
mean 11.14
Median 10
mode 10.
Explanation
Mean is sum of data divide by number of data.
Mode is the most appearing number.
How did it get 683.8?
9514 1404 393
Explanation:
638.8 is the result of evaluating the expression ...
[tex]\dfrac{400}{\dfrac{1}{\tan^2{57^\circ}}+\dfrac{1}{\tan^2{68^\circ}}}\approx\dfrac{400}{\dfrac{1}{1.53986^2}+\dfrac{1}{2.47509^2}}=\dfrac{400}{0.42173+0.163237}\\\\\\=\dfrac{400}{0.584967}=683.799\approx\boxed{683.8}[/tex]
Any scientific or graphing calculator or spreadsheet can compute this for you. (You may need to be careful to set Degrees mode for the angles.)