Answer:
The function is
The remainder when f(x) is divided by x−2 is 23
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get
Put x=2, to find the value of f(2)
Using (i) and (ii), we get
Therefore, the value of k is 8.
Step-by-step explanation:
hope this helps
f(x) - 2x³ + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then k is 15.
What is Remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)
f(x)=2x³ + kx - 4
x+2=0
x=-2
By the remainder theorem, the remainder when dividing by x-a is f(a)
f(-2)=2(-2)³+k(-2)-4
=-2(-8)-2k-4
=16-2k-4
The remainder is -18.
So, 16-2k-4=-18
12-2k=-18
-2k=-18-12
-2k=-30
k=15
Hence the value of k is 15.
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which piece wise function is graphed below
Answer:
Option A
Step-by-step explanation:
Here is how to approach the problem:
We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.
At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.
Now we have two choices left.
For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.
Vertext form is f(x) = a(x-h)^2 + k.
h being the x-coordinate of the vertex and k being the y-coordinate.
We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.
Please help me asap if can!!!
Answer:
Step-by-step explanation:
2m in height : 11m in length
300m in length: 1650m in length
This is because you multiply each side by 150.
The horizontal length will be 1650m.
b) I'm so sorry. I'm in year 9 so I don't think I've learnt this. I think it might be tan. :)
Can someone help with this question I’m having a problem I will give 25 points
Answer:
3
Step-by-step explanation:
The term quotient mean division so that would be 24/8, which equals 3
Jan and Col club together a book of raffle tickets. They agree to share any prize they win in the ratio 2:3. When they win Jan gets £10 how much does Col get?
Answer:
£15Step-by-step explanation:
For every £2 Jan gets, Cole gets £3.
10 ÷ 2 (Jan) × 3 (Cole) = 15
On Saturday Suzie's Pretzel Stand sold a total of 12 items. Suzie charges $3 for a pretzel and $2 for a milkshake. If she took in $32 on Saturday, how many milkshakes and pretzels were sold?
Answer:
Eight pretzels and four milkshakes.
Hi, Could anyone help me with my homework
What is
[tex]\mathrm{(x+4)^6}[/tex]
Please help A.S.A.P.!!
Answer:
[tex]\hookrightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]
solving steps:
[tex]\rightarrow \sf (x + 4)^6[/tex]
[tex]\bold{rewrite \ the \ following}[/tex]
[tex]\rightarrow \sf (x + 4)^2 (x + 4)^2 (x + 4)^2[/tex]
[tex]\bold {formula \ used : \sf (x+a)^2 = (x^2 + 2xa + a^2)}[/tex]
[tex]\rightarrow \sf (x^2 + 8x+16) (x^2 + 8x+16) (x^2 + 8x+16)[/tex]
[tex]\bold{simplify \ by \ removing \ parenthesis}[/tex]
[tex]\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)[/tex]
[tex]\bold{basic \ addition \ of \ integers }[/tex]
[tex]\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)[/tex]
[tex]\bold{remove \ parenthesis}[/tex]
[tex]\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)[/tex]
[tex]\bold {final \ answer:}[/tex]
[tex]\rightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]
Point s is between points R and T on RT. RS=7 and ST = 11. What is the length of RT?
Answer:
18
Step-by-step explanation:
Because you have to add 11 to 7 and the equals 18. I hope that helped! :)
Akira sells 217 homemade candles. She charges $29 for each candle. How much money does Akira make on these candles in all?
Please help.
Find the area of each shape. Use 3.14 for π.
Answer:
square:48
triangle:16
circle:6.28
Step-by-step explanation:
square: b x h = base * height
triangle: 1/2 x bh = 1/2 x base x height
circle: 3.14 x r square = 3.14 x 4 x 1/2
4 because is radius square = 2 x 2 = 4
evaluate the following expression
(a+b)^0
Please help work this out
Answer:
m<1 = 69˚
Step-by-step explanation:
m<1 = 1/2(138˚)
I'm unsure of what the answer to this is, I need help.
Answer:
I think it would be A
Step-by-step explanation:
Because 9/6 is 1.5 and when you do 3/2 it is also 1.5.
I hope this helps
I need the awnser for number 16 I will brainlist who ever can provide the awnser
Answer:
Not rounded: 1602.342
Rounded: 1602.3
Step-by-step explanation:
Volume of cone : 3.14(r^2)h/3
3.14(9^2) 19/3
3.14(81)19/3
(254.34)19/3
(254.34)6.3
1602.342
Have an amazing day!!!
Please rate and mark brainliest!!
Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm
Answer:
144cm^2
Step-by-step explanation:
0.5x8x6x2=48cm^2
8x4=32cm^2
10x4=40cm^2
6x4=24cm^2
=(48+32+40+24)cm^2
=144cm^2
how do I solve for x here??
I just need help with finding x
Answer:
x = 15
Step-by-step explanation:
The solution to any problem is found by making use of the relations you know between the parts of the problem. Here, values of x relate to the arc measures around a circle. The relation you know is the sum of the arcs around a circle is 360°. Using this relation, you can write the equation ...
7x° +4x° +6x° +7x° = 360°
The equation can be solved for x by making use of the rules of algebra.
24x = 360 . . . . . . . . . . . . . . divide by °, collect terms
x = 15 . . . . . . . . . . . . . . . . divide by 24
Which one is the right answer?
PLEASE HELP ME
find the common factor in the given algebraic factor
x(a‐b), y(b-a)
Answer:
I think that the common factor in the given algebraic is a-b
Which of the following represents the fastest speed in miles per hour?
a. 8 miles in ⅙ hour b. 10 miles in ⅕ hour c. 6 miles in ⅐ hour
Answer:
b,
Step-by-step explanation:
8 miles in 1/6 hour 8*6=48 mph
10 miles in 1/5 hour 10*5=50 mph
6 miles in 1/7 hour 6*7 = 42 mph
True or false 49 is a irratinal number
Answer:
false
Step-by-step explanation:
49 is a rational no
brainliest pleazzzz......
what is the area of hals patio walkway and garden?
Answer:
3 ft
Step-by-step explanation:
10 - 7 = 3
hope this helps you!
If I have $6600 after investing $6000 for 5 years, what was the rate? (Write as a percent.)
Answer:
10%
Step-by-step explanation:
6600-6000=600
You've earned $600
600/6000 = 1/10 or 10%
Answer:
1.925%
Step-by-step explanation:
to check, use the equation [tex]6000(1+.01925)^5[/tex]
this gives us the value of 6600.16.
please rate 5 stars and mark as brainlest.
Rewrite in simplest term: 3(-7h-4)+4(h-6)
Answer:
-17h-36
Step-by-step explanation:
mutiply 3 by each terms inside the parenteses
you will get:
-21h-12+4h-24
-17h-36
Sunny earns $12 per hour delivering cakes. She worked for x hour this week. Unfortunately, she was charged $15 for late delivery on Tuesday. How much money did sunny earn this week? Write your answer as an expression.
The expression that can be used to represent the total money earned is $12x - $15.
What expression represents the total amount earned?
The first step is to determine the total amount earned this wek. This can be determined by multiplying the earnings per hour by the total hours/
Total earnings = $12 ×x = $12x
Now subtract the late delivry charge = $12x - $15
To learn more about mathematical expressions, please check: https://brainly.com/question/11980704
Answer:
12x-15
Step-by-step explanation:
khan
x-y=1 solve by substitution
Answer:
2-1
Step-by-step explanation:
Price is $20.00 Sales Tax is 4% What is the total cost?
Answer:
your answer is correct
Step-by-step explanation:
i don't know why i it didn't work
If the price of an item is $20.00 with a sales tax of 4%, the total cost of the item is $20.80.
How the total cost is determined using the sales tax:The total cost involves adding the price and the sales tax amount.
We can compute the total cost by determining the sales tax factor using the sales tax rate as follows:
The price of the item = $20.00
Sales tax = 4% = 0.04 (4/100)
The sales tax factor = 1.04 (1 + 0.04)
Thus, the total cost, including the price and the sales tax, is $20.80 ($20 x 1.04).
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Which of the numbers below could be terms in the sequence an=7n +4?
24
46
32
36
Answer:
46
Step-by-step explanation:
46 - 4 = 42
42/7 = 6
Answer:46 and 32 just did the quiz
Step-by-step explanation:
BRAINALEST!!!!!!!!!! 1/2 + 2/9 + 1/6
Answer:
8/9
Step-by-step explanation:
Solving
Step 1: Find the LCM of the denominators 2, 9, and 6:
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60As you can see, the LCM of these denominators is 18Step 2: Convert each fraction into an equivalent decimal with denominator as 18.
[tex]\frac{1}{2} = \frac{x}{18}[/tex], [tex]\frac{1*9}{2*9}= \frac{9}{18}[/tex] [tex]\frac{2}{9} = \frac{x}{18} , \frac{2*2}{9*2} = \frac{4}{18}[/tex] [tex]\frac{1}{6} =\frac{x}{18} , \frac{1*3}{6*3} =\frac{3}{18}[/tex]Step 3: Add the fractions.
9/18 + 4/18 + 3/1813/18 + 3/1816/18 (GCF of 16 and 18 is 2)16/2 = 8, 18/2 = 98/9Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answer:
8/9
Step-by-step explanation:
Take LCM of denominators 2, 9 & 6 = 18
1/2
[ 18/2 = 9 ]
Multiply 9 to both numerator and denominator,
1/2 * 9/9
= ( 1*9 )/( 2*9 )
= 9/18
2/9
[ 18/9 = 2 ]
Multiply 2 to both numerator and denominator,
2/9 * 2/2
= ( 2*2 )/( 9*2 )
= 4/18
1/6
[ 18/6 = 3 ]
Multiply 3 to both numerator and denominator,
1/6 * 3/3
= ( 1*3 )/( 6*3 )
= 3/18
( The denominator need to be same in order to add the fractions )
1/2 + 2/9 + 1/6
= 9/18 + 4/18 + 3/18
= ( 9 + 4 + 3 )/18
= 16/18
16 = 2*8
18 = 2*9
16/18
= ( 2*8 )/( 2*9 )
= 8/9
what is the relationship between corresponding terms in the two sequences 2 1 4 2 6 3 8 4 10 5
Answer:
what the answer
Step-by-step explanation:
The beginning balance in a checking account is $64.98.
After a deposit of $73.87 and two withdrawals of $51.00 and $23.50, what is the balance?
O $189.85
O $138.85
O $87.85
O $64.35
Answer:
D) 64.35
Step-by-step explanation:
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Question 10
Jordan is trying to graph the following inequality: y < 2x – 10
He plugs in (0, 0) like this: 0 < -10
He decides that this is true, so he shades the side with (0, 0).
What did Jordan do wrong?
Answer:
Step-by-step explanation:
"0 < -10" is actually false, so Jordan has shaded the wrong side.