Find the value of A in the following expression
x³ + x² - 2Ax + A² has remainder 8 when divided by x - 2
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
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Use the information given to answer the question.
A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the sluh to meet the map
Answer:
Is it multiple choice?
Step-by-step explanation:
write an expression in the factored form that represents the area of the border?
Answer:
Step-by-step explanation:
( 3x+2*4) (12+ 2*4)=
(3x +8)( 12+8)
20(3x+8)
can somebody tell me the answer to this please
How would I show my work on this ? 25 points
Answer:
I would write out the two points and draw a big carrot sign connecting the x values, and then another one for the y values. then you put the x value of the midpoint at the end of the carrot sign and the y value of the midpoint at the end of the other carrot sign. then i would make another carrot sign connecting those two numbers and at the end of the carrot would be the answer. i dunno if that makes sense but thats what i would do to show your work on that.
Step-by-step explanation:
i hope this helped :))
Please help meeee !!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!
Answer:
it is 7 inches tall - pythagorean theorem
Step-by-step explanation:
i need help with number 4
Answer: (2) (-8,10]
Step-by-step explanation:
Answer:
(2) (-8, 10]
Step-by-step explanation:
First, note that a bracket (“[“ and “]”) is inclusive and a parentheses ( “(“ and ”)” ) are exclusive.
For -8< x <= 10, -8 is excluded in the interval because x must be GREATER THAN (since -8 isn’t greater than -8) and 10 is inclusive in the interval because x must LESS THAN OR EQUAL TO 10 (since 10 is greater than or equal to 10).
So, using what we know, we put it together into interval notation: (-8, 10]
I hope this helps! :)
If -2(x + 3) = -22,
what is 4x?
Explain.
Answer:
32
Step-by-step explanation:
Solve for x:
Apply the distributive property: -2x + -6 = -22Simplify: -2x - 6 = -22Add 6 to each side, so it now looks like this: -2x = -16Divide each side by -2 to cancel out the -2 next to x. It should now look like this: x = 8Apply the value of x to 4x:
4x = 4(8)4(8) = 4 × 84 × 8 = 32I hope this helps!
Jade types 40 words in 7 minutes. Andrew types 35 words in 6 minutes. Who is the faster typist?
Andrew types faster than Jade
40/7 = 5.7 words per minute (Jade)
35/6 = 5.8 words per minute (Andrew)
May I have brainliest please? :)
Solve the quadratic equation x2 - 12x + 23 =0 by completing the square.
A) x = 13 6
B) x = 13 - 6
C) x = -6 13
D) x= 6 13
Answer:
Completing the square is always confusing, but if you keep in mind it's just a way to write (A + B )^2 so that the problem is in some easier form it makes a bit better sense. A perfect square has some helpful properties.. anyway..
Step-by-step explanation:
Given: [tex]x^{2}[/tex] - 12x +23 = 0 ( not a perfect square , tough to work with )
take 1/2 of the second term coefficient 12/2 = 6 and square it
[tex]x^{2}[/tex] - 12x + ([tex]-6)^{2}[/tex] +23 = [tex](-6)^{2}[/tex]
[tex]x^{2}[/tex] -12x + [tex]6^{2}[/tex] +23 = [tex]6^{2}[/tex]
now there is a perfect square :)
(x - 6)^2 =36-23
(x - 6)^2 = 13
take the square root of both side now
x -6 = [tex]\sqrt{13}[/tex]
x = [tex]\sqrt{13}[/tex] +6
sooo what is supposed to happen in these problems is that square root of 13 is supposed to work out to something that is easy to find the root of ... maybe in your answers you left out the square roots? so maybe A is right :/
We want to solve a quadratic equation by completing squares.
What we need to use is the general relation:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
We will see that the solutions are:
[tex]x = 6 \pm \sqrt{13}[/tex]
We start with the equation:
[tex]x^2 - 12x + 23 = 0\\[/tex]
We can rewrite the middle term as:
[tex]x^2 - 2*6*x + 23 = 0\\[/tex]
Now remember that 6*6 = 36
Then we can add 13 and subtract 13 to get:
[tex]x^2 - 2*6*x + 23 + 13 - 13 = 0\\x^2 - 2*6*x + 36 - 13 = 0\\x^2 - 2*6*x + (-6)^2 - 13 = 0\\(x - 6)^2 - 13 = 0[/tex]
Then the solutions are:
[tex](x - 6) = \pm \sqrt{13} \\\\x = 6 \pm \sqrt{13}[/tex]
If you want to learn more, you can read:
https://brainly.com/question/17177510
PLEASE HELP ASAP!
what is the slope represented in the table?
Answer:
it increases by 5 basically if you graph it you will see the increase of the slope by 5 and its 10x,9y
Brainliest answer pls
PLEASE HELP!!!
Solve the inequality:
5 (2x-3) - 6x > -2 (x - 6) +3
Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
Answer:
x>5 have a great day
Step-by-step explanation:
Hiliary made cake to celebrate her mom birthday each person in the family got 1/4 of the cake if she would cut in to 8 slice how much of the cake did she person get?
Given that,
Each person in the family got 1/4 of the cake.
Cake is cut in 8 slices.
To find,
How much of the cake did the person get?
Solution,
To find the cake the person get can be calculated by finding 1/4th of 8 slices. Let the result is x.
x = (1/4) 8
= 2 slices
Hence, the person will get 2 slices.
Solve for x.
2x + 3 >=7
OR 2x +9 > 11
help
the >= is great or equal too btw
Step-by-step explanation:
2x + 3 >= 7
2x >= 4
x >= 2
2x + 9 > 11
2x > 2
x > 1
Can someone please help with this question?
Answer:
2,4,1
Step-by-step explanation:
since mode means the number that occurs most often in the data set. The numbers 1,2, and 4 all occur three times meaning they occur most often
can someone please help me, will give brainliest
Answer:
(d) 1 mile = 10 blocks
Step-by-step explanation:
The ballpark is 8 blocks west and 15 blocks north of Jeff's home. The Pythagorean theorem tells us the straight-line distance is ...
d² = 8² +15² = 64 +225 = 289
d = √289 = 17 . . . blocks
The problem tells us this represents 1.7 miles, so the proportion is ...
blocks/miles = 17 blocks/(1.7 miles) = 10 blocks/mile
The map scale is 1 mile = 10 blocks.
The graph below represents one function, and the table represents a different function. How are the functions similar? How are they different?
Answer:
Step-by-step explanation:
they both go thur the point (0,-4) so they both have the same b in the slope intercept from of y =mx +b
but.. they have a different slope... m , the graph has a slope m of 4/3 while the table has a slope of 1 , both positive.. :)
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
From the graph, using the point (3, 0) and (0, -4):
y - 0 = [(-4 - 0)/ (0 - 3)](x - 3)
y = (4/3)x - 4
From the table using (0, -4) and (2, -2):
y - (-4) = [(-2-(-4))/(2-0)](x - 0)
y = x - 4
The equation given by the graph is y = (4/3)x - 4 while the table is y = x - 4. Both equation have a y intercept of -4.
Find out more on equation at: https://brainly.com/question/2972832
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In the accompanying diagram of rectangle ABCD, AD = 12 and
AB = 5. What is the length of diagonal AC ?
А
12
D
5
B
C
1 point
x=13
Answer:
hyp=✓5*5+12*12
hyp=✓25+144
hyp=✓169
hyp=13cm
Hence, the length of diagonal bd=ac=13cm
Solve the equation.
8n -(5n+6)= 9
n =
(Simplify your answer.)
Answer:
n = 5
Step-by-step explanation:
8n -(5n+6) = 9
8n -5n - 6 = 9
combine like terms
3n - 6 = 9
+6 +6
3n = 15
divide both sides by 3
n = 5
Hope this helps!!!
What is the rate of change of the following equation? y = -5/3x
Answer: -5/3
Step-by-step explanation:
In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.
Which expressions are equivalent to -6+3(2+(-4t))−6+3(2+(−4t))minus, 6, plus, 3, left parenthesis, 2, plus, left parenthesis, minus, 4, t, right parenthesis, right parenthesis ?
Choose all answers that apply:
Choose all answers that apply:
(Choice A)
A
-12t−12tminus, 12, t
(Choice B)
B
12t-1212t−1212, t, minus, 12
(Choice C)
C
None of the above
Answer: a -12t
Step-by-step explanation:
khan Academy trust me I did it
Evaluate the expression.
(30 = 6) + 53 + 10
Your answer
Answer:
30=69
Step-by-step explanation:
Answer:
30= 69
Step-by-step explanation:
30= 69
This much only
The school cafeteria sold 283 slices of pizza and 66 apples what is the ratio of the number of slices of pizza sold to the number of apples sold?
A.283:66
B.283:195
C.283:129
D.283:261
PLEASE HELPPPP I will give brainly try your hardest
Answer:
283:66 (A)
(Can I get brainliest please)
Answer:
Answer
Aaaaaaaa it had to be at least 20 characters
Answer I know the answer I’m just making sure if I’m correct, thanks. Plug in -5 for every x.
.................................
I am working on an assignment about simple Harmonic Motion and I need help seriously.
Answer:
I don't know let me know what it is plez
sorry I can't be help now
Ms. Albero decided to make juice to serve along with the pizza at the Student Government party. The directions said to mix 3 scoops of powdered drink mix with 1 gallon of water to make each pitcher of juice. One of Ms. Albero's students said she will mix 12 scoops with 3 gallons of water to make 4 pitchers. How can you use the concept of proportional relationships to decide whether the student is correct?
Answer: ok
Step-by-step explanation:
Type the correct answer in the box use numerals instead of words
Answer:
Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14
Step-by-step explanation:
The question given is:
Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is?
First we will Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex]
[tex]7x^2+x+9-(3x^2+4x-5)\\=7x^2+x+9-3x^2-4x+5\\Combining\:like\:terms\\=7x^2-3x^2+x-4x+9+5\\=4x^2-3x+14[/tex]
So, the polynomial we get is: [tex]4x^2-3x+14[/tex]
Now, subtracting [tex]4x^2-3x\: from\: 4x^2-3x+14[/tex]
[tex]4x^2-3x+14-(4x^2-3x) \\=4x^2-3x+14-4x^2+3x\\Combining\:like\:terms\\=4x^2-4x^2-3x+3x+14\\=14[/tex]
The difference is 14
So, Subtracting [tex]3x^2+4x-5[/tex] from [tex]7x^2+x+9[/tex] results in a polynomial. After subtracting [tex]4x^2-3x[/tex] from this polynomial the difference is 14
find the value of X in each of the given triangles.
Answer:
x = 24
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
3x + 2x + 60° = 180°
Step 2: Solve for x
Combine like terms: 5x + 60 = 180Isolate x term: 5x = 120Isolate x: x = 24please answer someone!! I need this asap!!!This is in similarity! I need to find the lengths marked by the letter
Answer:
[tex]H = 59.4[/tex]
Step-by-step explanation:
The question is an illustration of dilation.
From the small shape, we have:
[tex]Body = 3[/tex]
[tex]Height = 2.2[/tex]
From the big shape, we have:
[tex]Body = 81[/tex]
Height = ??
Because it is a dilation, the ratio of the bodies must be equal to the ratio of the heights
i.e.
[tex]Body_{Small} : Body_{Big} = Height_{Small} : Height_{Big}[/tex]
Substitute the right values
[tex]3 : 81 = 2.2 : H[/tex]
Express as fraction
[tex]\frac{3}{81} = \frac{2.2}{H}[/tex]
[tex]\frac{1}{27} = \frac{2.2}{H}[/tex]
Make H the subject
[tex]H = 2.2 * 27[/tex]
[tex]H = 59.4[/tex]
Hence, the height of the big shape is 59.4 units
Please help!!!!! Select the interval
Step-by-step explanation:
When f(x) > 0, the graph is above the x-axis.
Only -2 < x < -1 is above the x-axis. (A)