Don’t pay attention to number 6 I just need help with number 5.
State if the given binomial is a factor of the given polynomial.
(2x^3+16x^2+22x-40) + (x+4)
Answers
Answer: Yes, (x+4) is a factor of the given polynomial.
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Explanation:
We can use the remainder theorem here.
Consider any polynomial p(x). The binomial x-k will be a factor of p(x) if and only if p(k) = 0. I'm using the special case of the remainder theorem, where we look for a remainder of 0.
The binomial x+4 is the same as x-(-4). Compare this to x-k to see that k = -4.
Then plug this k value into the p(x) polynomial given
p(x) = 2x^3 + 16x^2 + 22x - 40
p(-4) = 2(-4)^3 + 16(-4)^2 + 22(-4) - 40
p(-4) = 2(-64) + 16(16) + 22(-4) - 40
p(-4) = -128 + 256 - 88 - 40
p(-4) = 0
This shows that dividing p(x) = 2x^3 + 16x^2 + 22x - 40 over x+4 leads to a remainder of 0. Therefore, (x+4) is a factor of p(x).
Related Questions
Based on the graph, is there an association between
eating a mint and getting a correct guess?
Does eating a mint affect a person's taste buds? To
answer this question, students were randomly placed
into two groups. One group had to eat a mint, and the
other did not. Then all the students were given a cup
that had one of two brands of ice tea. Students were
asked to guess which brand of ice tea they had. The
results are displayed below.
There is an association because the distribution of
correct guesses differs among the mint groups.
There is an association because the distribution of
correct guesses is the same among the mint groups
O There is no association because the distribution of
correct guesses differs among the mint groups.
O There is no association because the distribution of
correct guesses is the same among the mint groups.
Effect of Mints on Taste
100
Incorrect
Relative Frequency
50
Correct
Mark this and return
Save and Exit
Net
Submit
Answers
Answer: There is an association because the distribution of correct guesses is the same among the mint groups.
Step-by-step explanation:
We would have to see the graph but I know it's either B or C because the other answer choices don't make sense. I chose B because it seems like the most logical choice of the two.
Solve x2 = 144.
O 72
O 12
+12
O-12
Answers
Answer:
x = ±12
Step-by-step explanation:
x^2 = 144
Take the square root of each side
sqrt(x^2) = sqrt(144)
x = ±12
Answer:
Choice 3
Step-by-step explanation:
[tex]\sqrt{144}[/tex] is the selected answer on the image since a squared can end up as regardlessly positive, whether it is negative or positive.
Is f(x)=x^4-x^2 even or odd
Answers
Explanation:
Since the exponent are both even and even number - even number = even number.
Ex: 2^4 - 2^2 = 16 - 4 = 12 which is an even number
How do i solve this?
Answers
Answer:
1.-4
2.7
3.-11
4.18
5.13
Step-by-step explanation:
0-4=-4
-2+9=7
-2-9=-11
5+13=18
-10+23=13
What is the area of BCD?
A. 36 square units
B. 32 square units
C. 16 square units
D. 72 square units
Answers
Answer:
in this figure B: 32 square units
Find the volume of this figure.
[?] = cubic units
Answers
36 cubic units
Step-by-step explanation:
V = l • w • h
V = 5 • 2 • 3
V = 30
V = l • w • h
V = 3 • 2 • 1
V = 6
30 + 6 = 36 cubic units
The volume of the given figure us = 36 cubic units
Volume of a rectangular prismThe formula for calculating the volume of rectangular prism is expressed as:
V =lwh
where
l is the length
w is the width
h is the height
T of the given figure is expressed as:
V = 2(3)(5) + 2(3)(1)
V = 30 + 6
V = 36 cubic units
Hence the volume of the given figure is 36 cubic units
Learn more on volume of prism here: https://brainly.com/question/23963432
#SPJ6
once second I'm ggettin the question
Answers
Answer:
0.51
Step-by-step explanation:
-32÷(-61)
in this case the subtraction have to cancel themselves
so it'll remain
32÷61
=0.508
approximately ~=0.51
Length of path for the above example
Answers
Answer:
D. 25.5 m
Step-by-step explanation:
5.5m+5.5m=11m
4.5m-1m= 3.5m
3.5m+3.5m=7m
The middle vertical path is 3.5m
the middle horizontal path is 5.5m-1.5m=4m
The sum of all is 25.5m
Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13
Answers
Answer:
4/13 very identifies what Jaxson did wrong.
Step-by-step explanation:
The addition of the whole number part of the fraction was well done that is (8+7)
What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.
Urgent help please please please❤️Urgent
Answers
Answer:
Step-by-step explanation:
Remember:
[tex]cos(2A)=cos(A+A)=cos^2(A)-sin^2(A)=2cos^2(A)-1\\\\cos^2(A)=\dfrac{cos(2A)+1}{2} \\\\cos(A)=\pm\sqrt{\dfrac{cos(2A)+1}{2}} \\\\[/tex]
[tex]cos (\dfrac{A}{2} )=\pm\sqrt{\dfrac{1+cos(A)}{2} } \ with \left\{\begin{array}{c} \ +:\ if \frac{A}{2} \ is\ in\ I\ or\ IV\ quadran\\\ -:\ if \frac{A}{2} \ is\ in\ II\ or\ III\ quadran\\\end{array}\right.[/tex]
[tex]cos(\pi)=-1\\\\cos(\dfrac{\pi}{2} )=+\sqrt{\dfrac{1+(-1)}{2}} =0\\\\cos(\dfrac{\pi}{4} )=+\sqrt{\dfrac{1+0)}{2}} =\dfrac{\sqrt{2} }{2} \\[/tex]
[tex]cos(\dfrac{\pi}{8} )=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2})}{2}} =\sqrt{\dfrac{1}{2} +\dfrac{\sqrt{2} }{4} }=\dfrac{1}{2} \sqrt{2+\sqrt{2} } \\\\\\cos(\dfrac{\pi}{16} )=\sqrt{\dfrac{1+\dfrac{1}{2}*\sqrt{2+\sqrt{2} } }{2}}\\\\\\=\sqrt{\frac{1}{2} +\frac{1}{4}*\sqrt{2+\sqrt{2} } } \\\\\\=\dfrac{1}{2}*\sqrt{2+\sqrt{2+\sqrt{2} } } \\\\[/tex]
Simplify the given expression. Assume x = 0
-2
20r-3
10x-1
2
4
Answers
Answer:
x⁴/4
Step-by-step explanation:
(20x‐³/10x‐1)‐²
= > 20/10 = 2
so = (2x-³/x-¹)-²
= (2/x²)-²....................(a/b)-²=(b/a)²
= (x²/2)²
= x⁴/2
y+5=3/2(x-7) write in y=mx+b form
Answers
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
Marsha earns $3.40 an hour plus $.20 for each unit produced. One week
she worked 40 hours and produced 280 units. What was her weekly wage?
a. $192
b. $56
c. $136
d. $144
Answers
Answer:
$192
Step-by-step explanation:
→ Set up equation
3.40h + 0.20u
→ Substitute in the numbers
( 3.40 × 40 ) + ( 0.20 × 280 )
→ Simplify
192
Answer:
192
Step-by-step explanation:
Make a formula, multiply the hourly wage by the number of hours she worked and add that to the number unit price multiplied by the number of units assembled. Then you 192
1x
Identify the domain of the function.
A)
(-2,4)
B)
(-3,3)
[-2.4)
Answers
The domain is a description of the x-values used in the graph. It's the "how far left and right does the graph go?" description.
In the attached graph, you'll see this highlighted against the x-axis.
How far left does the graph go? How far right? Does it include the endpoints?
Find the smallest value of k such that 525k is a perfect cube
Answers
Answer:
If u decompose in prime factors,u get 175=52•7 so the smallest perfect cube is the number that we must multiply by 5 and by 7 so to create the smallest perfect cube,i.e. 53•73. This number is K=5•72=245
if a and b are zeros of the polynomial f(x) = 5x^2+4x-9 then evaluate the following :a^3-b^3.
Answers
Answer:
Results will be out: 854/ 125 (Please note that the result is a decimal number)
Step-by-step explanation:
If you need me to explain the steps clearly, please let me know.
I'm not sure but hope it helps.
order pair for x-3y=6
Answers
Answer:
X=6+3y
y=x-6/3
Step-by-step explanation:
1)x-3y+3y=6+3y
x=6+3y
2)3y+6=x
3y=x-6
y=x-6/3
In a shipment of 600 parts, 30 are found to be defective. How many defective parts should be expected in a shipment of 1000?
50
200
40
150
Answers
so 1000 * 0.05 = 50 parts defective
Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )
Answers
Answer:
mid point is (1, 8)
Step-by-step explanation:
[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]
x1 is 2
x2 is 0
y1 is 8
y2 is 8
[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]
even numbers are closed under addition? true or false
Answers
Even numbers are closed under addition.
Answer: True
Answer:
Even numbers are closed under addition.
Answer: True
Step-by-step explanation:
express
[tex](4 - x) {}^{ \frac{1}{2} } [/tex]
in ascending power of x up to term x²
Answers
Answer:
Step-by-step explanation:
Remember:
[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]
Identify the terms and coefficients in each expression.
X square 2 - 9y square 2 + 3k
Answers
[tex]\\ \rm\longmapsto x^2-9y^2+3k[/tex]
Terms[tex]\\ \rm\longmapsto x^2,-9y^2,3k[/tex]
Coefficients
[tex]\\ \rm\longmapsto x^2=1[/tex]
[tex]\\ \rm\longmapsto -9y^2=-9[/tex]
[tex]\\ \rm\longmapsto 3k=3[/tex]
brainliest to correct answer
Answers
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
Please someone help me.
Answers
Answer:
I will help
Step-by-step explanation:
Mr. Thompson's sixth grade class is competing
Answers
Simplify: a(3+5a)-4(a2+5)
Answers
Answer:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Step-by-step explanation:
We want to simplify the expression:
[tex]a( 3 + 5a) - 4(a^2 +5)[/tex]
Distribute:
[tex]\displaystyle = (3a + 5a^2) + ( -4a^2 - 20)[/tex]
Rearrange:
[tex]\displaystyle = (5a^2 - 4a^2) + (3a) + (-20)[/tex]
Combine like terms:
[tex]\displaystyle = a^2 + 3a -20[/tex]
In conclusion:
[tex]\displaystyle a( 3 + 5a) - 4(a^2 +5) = a^2 + 3a - 20[/tex]
Simplify an expression for the perimeter of the rectangle.
W = 24.6x - 10.4
L = 7x + 3.1
Answers
The expression for the perimeter of the rectangle is 63.2x - 14.6.
Given that,
Width = W = 24.6x - 10.4Length = L = 7x + 3.1We Know that
Perimeter of the rectangle is
[tex]= 2(l+w)\\\\= 2 (7x + 3.1 + 24.6x - 10.4)\\\\= 2(31.6x - 7.3)[/tex]
= 63.2x - 14.6
Here the above formula should be applied for measuring the perimeter of the rectangle.
Therefore we can conclude that The expression for the perimeter of the rectangle is 63.2x - 14.6.
Learn more about the rectangle here: brainly.com/question/16167300
Answer:
24.3
Step-by-step explanation:
First you solve the sides:
24.6-10.4 =14.2
7+3.1=10.1
After that ,you will add because perimeter is adding up the side lengths of various shapes.
14.2+10.1=24.3
I need the answer, please help!!!
Answers
Step-by-step explanation:
0.5 goes first
0.44 goes second
2/5 goes third
3/8 goes fourth
Three tiles of thickness 20 mm, 17 mm and 8 mm are piled on the top of each other. What is the total thickness of pile in cm?
Answers
Answer:
4.5 cmStep-by-step explanation:
Givens: 20 mm, 17 mm and 8 mmOperations: Addition and DivisionSolutions: 20 + 17 + 8 = 45 mm45 mm ÷ 10 = 4.5 cmAnswer: 4.5 cm[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Instructions
Solve the following problem and choose the best answer.
Question
Which of the following points (x,y) lies on the graph of 8x + 2y = 24?
0 (-1, 8)
O (2,8)
O (6.-12)
O (8, 2)
Answers
Answer:
O (6, -12)
Step-by-step explanation:
For 8x + 2y = 24, the point (6, -12) lies in the graph.