Answer:
option A is the answer.......
The remainder is 40 if the polynomial function f(x) = x³-2x²+ax-8 has (x-2) value of a is 4 option (D) is correct.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial function:
[tex]\rm f(x)= x^3-2x^2+ax-8[/tex]
(x-2) is a factor of the above polynomial
To get the value of a put x = 2 in the polynomial and equate to zero.
[tex]\rm 2^3-2(2)^2+a(2)-8=0[/tex]
[tex]\rm a = 4[/tex]
[tex]\rm f(x)= x^3-2x^2+4x-8[/tex]
From the remainder theorem:
Put x = 4 in the polynomial to get the remainder
[tex]\rm R =f(4)= (4)^3-2(4)^2+4(4)-8[/tex]
[tex]\rm R = 64-32+16-8\\\\R = 40[/tex]
Thus, the remainder is 40 if the polynomial function f(x)=x³-2x²+ax-8 has(x-2) value of a is 4 option (D) is correct.
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please help me. did i get this question correct?
0.5 mg/mL = ___________ mcg/mL
Answer: 500 mcg/mL
Step-by-step explanation: 0.5 mg/mL = ___________ mcg/mL
0.5 mg/mL(1000)
500 mcg/mL
Answer:
500 mcg / mL
Step-by-step explanation:
this is the ansa when u do 0.5 mg/mL = ___________ mcg/mL
QUICK WHATS THE ANSWER!!!!
Answer:
It’s triangular prism
Step-by-step explanation:
what is the square root of 1625
Answer:
square root of 1625 is 40.311 or 40 as a whole number
Step-by-step explanation:
Answer:
40.3112887... simplify to 40.311, 40.31, or 40.3, depending on rounding.
If tan m =
and tan n = -6, what is the exact value of tan(m + n)?
Answer:
Look below:)
Step-by-step explanation:
you plug in -6 for tan m and tan n
put in your calacuator tan (-6+-6)
then you will get your answer
I need the answer fast pls
Answer:
The answer is F because the answer to the question featured in F does not vary.
Step-by-step explanation:
10 points The net shown below can be folded along the dotted lines to make a three-dimensional figure. What figure is best represented? *
O Rectangular Pyramid
O Triangular Pyramid
O Triangular Prism
O Rectangular Prism
Answer:
it's a triangular prism.
When adding
4 2/3 + 7 1/18
what is the least Common Denominator?
Answer:
Step-by-step explanation:
The least Common Denominator is 18
Find dy/dx if f(x) = x²+9²
Answer:
let y=x²+9²
dy/dx=dx²/dx+d9²/dx
=[tex]2 x^{2-1}+0[/tex]
=2x is a required answer.
Given f(x)= 3x+2, what is the Inverse Function?
Answer:
Step-by-step explanation:
For this case we must determine the inverse of the following function:
[tex]f(x)=3x-2[/tex]
Step 1:
We would write
[tex]y=f(x)[/tex] or [tex]y=3x-2[/tex]
Step 2:
We clear x:
[tex]y+2=3x[/tex]
[tex]\frac{y+2}{3}=x[/tex]
Step 3:
"x" and "y" are exchanged:
[tex]y=\frac{x+2}{3}[/tex]
The inverse is:
[tex]f^{-1}(x)=\frac{x+2}{3}[/tex]
I will give brainliest!
The histogram shows the number of
books read by four different age
groups over the summer. What is
The mode of the data?
Answer:
14-16
Step-by-step explanation:
It is the value that appears the most in the whole group.
Which is the correct classification of Square root of 18?
1 irrational number, non-repeating decimal
2 irrational number, terminating decimal
3 rational number, terminating decimal
3 rational number, non-repeating decimal
Answer:
50000000
Step-by-step explanation:
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer:
Last answer.
Step-by-step explanation:
What is the slope of the line and where do I place the segments
Answer:
The slope of the line I think is -4/2. I don't know what line segments you want me to place.
Step-by-step explanation:
I went up 4 and left 2 and ended one a spot and then i went down four and right 2 and ended up on a spot.
7. Which graph shows the solution set of 2 <0?
a
-5-4-3-2-1
12
3 4 5
b.
-3 -2 -1 0
123
4
5 *
C.
5 -4 -3 -2 -1 0 1 2 3 4 5
d.
-54-3-2-1 0 1
2 3 4
5
Step-by-step explanation:
à 5-4-3-2-1 that my answer please next question please
The graph C is correct, open holes at 1 and 3; shading in between.
What is an inequality?In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol.
Given is an inequality, x-1 / x-3 < 0, we need to find the graph of it,
Let p = x-1 and q = x-3
Now,
The problem we want to solve is in the form p/q < 0
Since p/q is negative, there are two cases we have to address ;
Case 1) p is positive and q is negative, or,
Case 2) p is negative and q is positive
The signs of p and q are opposite one another.
Case 1) If p is positive, then
p > 0
x-1 > 0
x > 1
If q is negative, then
q < 0
x-3 < 0
x < 3
Combine x > 1 with x < 3 and we get 1 < x < 3.
Case 2) If p is negative, then
p < 0
x-1 < 0
x < 1
If q is positive, then,
q > 0
x-3 > 0
x > 3
We get a contradiction.
Both "p is negative" and "q is positive" must be true at the same time. But if p is negative, then x < 1 which contradicts x > 3 (which happens when q is positive)
Put simply: case 2 is not possible. There's no way to have p be negative at the same time q is positive. This because we're wanting x to both be smaller than 1 AND also be greater than 3 at the same time.
We must rule out case 2 and side with case 1 instead.
The conclusion of case 1 was that 1 < x < 3
The graph of this has open holes at 1 and 3 on the number line. The shading is between the open holes to represent all values between 1 and 3, excluding the endpoints.
Hence, the graph is C.
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how many liters will a box 46cm ×85cm×42cm hold?1000cm3=1litre.
Answer:
164.22 liters
step explanation:
(46 cm) * (85 cm) * (42 cm) =
164.22 liters
Assistance please please please
Answer:
x = 12
Step-by-step explanation:
You can solve this problem by using ratios of corresponding sides.
Identify GCF 4x^2y-8x
Answer:
The GCF for the numerical part is 4 . The factors for x2
Step-by-step explanation:
Choose each angle measure that is one of the angles of these similar triangles. Select all that apply.
Answer:
b, c, e.
Step-by-step explanation:
pls brainlyest
HELP
I really need it
Answer:
The dimensions of the rectangle are:
2a^2b^2 and 3ab^2 + 5a + 7b
Step-by-step explanation:
The question is asking for the length and width of the rectangle, and gives you an equation that shows the area of the rectangle. It says to factor out the GCF to find these dimensions. In simpler terms, the question wants you to divide the equation for the area, 6^3b^4 + 14a^2b^3 + 10a^3b^2, into two different equations for the length and width, which can't be divided more.
We have three terms to find the greatest common factor (GCF) of. 6^3b^4, 14a^2b^3, and 10a^3b^2. First, let's factor out the 2. This leaves us with
2(3^3b^4 + 7a^2b^3 + 5a^3b^2)
It seems like we're done with factoring out coefficients, for 3, 5, and 7 are all prime. Now, variables. Each term has a factor of a^2b^2. (not more, for this is the limit of 14a^2b^2.)
2a^2b^2(3ab^2 + 7b + 5a) . (this is the same as the answer above, but I changed the order of 7b and 5a there because some online things are specific and don't like it if you don't put the equations in order.)
And that's it!
Write an
i explicit formula for an, the nth term of the sequence 200, 40, 8, ....
Answer:
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 200,40,8[/tex]
Required
The nth term
The given sequence is a geometric sequence.
So, first we identify the first term
[tex]a = 200[/tex]
Calculate common ration
[tex]r = \frac{40}{200}[/tex] or [tex]r = \frac{8}{40}[/tex]
[tex]r = \frac{1}{5}[/tex]
So, the nth term is:
[tex]T_n = ar^{n-1[/tex]
[tex]T_n = 200 * (\frac{1}{5})^{n-1[/tex]
PLEASE HURRY I HAVE 6 MINS LEFT
Which sentence can be represented by the equation
3/5m-15?
The sum of 3/5 and a number is 15.
Three-fifths more that a number is 15.
Three-fifths times a number is 15.
The quotient of 3/5 and is a number is 15.
Answer:
c
Step-by-step explanation:
3/5m - 15
3/5m - 15 = 0
Make 15 the subject of the formula
3/5m = 15
the above equation can be interpreted as
3/5 times m is equal to 15
The sum of 3/5 and a number is 15 would be represented as 3/5 + m = 15
Three-fifths more that a number is 15 would be represented as 3/5m + m = 15
Please help me I will give brainliest to whoever answers
Answer: B
Step-by-step explanation:
#[tex]GameOn[/tex]
Answer:
yea the awsered is b
Step-by-step explanation:
Help I am trying to understand this!!!!
Answer:D!
Step-by-step explanation: Okay my bad u was trying to understand.Soooo 6:1.75 is a ratio of 6 to 1.75.Basically a different saying of 6/1.75.Well if u divide the fraction you will get about 3.42.Now we just take all of the answers and just divide all of them.boom 12/3.5 is also 3.42!Therefore D is your answer!
If you found this useful please give it a like
Answer:
The answer is D
Step-by-step explanation:
PLS HELP MEEE. Suppose you save $1 the first day of a month, $4 the second day, $16 the third day, and so on. That is, each day you save four times as much as you did the day before. What will you put aside for savings on the seventh day of the month? pls do not send a bit as the answer i cant open it. thank u pls help!
Answer:
4096
Step-by-step explanation:
A researcher collected data on years spent in college and yearly income. He found that the longer someone is in college, the lower his/her income is. Which of the following is true based on this research? Select all that apply.
The line of best fit for this data would be increasing from left to right on the scatter plot.
The slope of the line of best fit for this data would be negative.
The -intercept for the line of best fit for this data would be zero.
The line of best fit for this data is horizontal because the variables are not related.
If you divided the data into two groups and found the average years of college and average yearly income from each of the two groups, you could find the estimated slope of the line of best fit by using the slope formula on those representative points.
Answer:
A
Cdfvvbghnjmk,l.;/‘Step-by-step explanation:
[tex]\tt\red{See \; attachment!}[/tex]
NO LINKS!!!!!!
If it takes 1/3 of a can of frosting to cover a small cake, how many cakes can you frost with 4 cans of frosting?
a. Solve the problem. Show your work.
b. Write the equation to represent the problem and the answer.
Answer:
Hello answer: 1 1/3
work: 1/3 × 4 = 1 1/3
equation: 1/3 × 4 = 1 1/3
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{1}{3}[/tex] can → 1 cake
Number of thirds in 1 can = 3, then
Number of thirds in 4 cans = 3 × 4 = 12
Thus 12 cakes can be frosted with 4 cans
(b)
number of cakes = 4 ÷ [tex]\frac{1}{3}[/tex] = 4 × [tex]\frac{3}{1}[/tex] = 12
A system of equations is shown.
`4x + 3y = 8`
`4x` `–` `3y =` `-16`
Question:
What is the value of
x
?
Answer:
x = -1
y = 4
Step-by-step explanation:
Why are there so many ''' in your question? Do they have any signifigance?
The value of [tex]x[/tex] of the system of equations will be [tex]-1[/tex].
What is system of equations?System of equations is a finite set of equations for which common solutions are sought.
We have,
[tex]4x + 3y = 8[/tex]
[tex]4x-3y = -16[/tex]
So,
Using the linear combination method,
i.e. adding the given equations,
[tex]4x + 3y = 8[/tex]
[tex]4x-3y = -16[/tex]
We get,
[tex]8x=-8[/tex]
⇒
[tex]x=-1[/tex]
So, value of [tex]x[/tex] is [tex]-1[/tex] .
Hence, we can say that the value of [tex]x[/tex] of the system of equations will be [tex]-1[/tex].
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What is the total volume of this composite shape? Round your answer to the nearest tenth.
Please answer correctly! I need this to be correct otherwise I will fail the semester!
Answer:
i=35
Step-by-step explanation: