Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
Answer:
4/1x plus 2
Step-by-step explanation:
Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2
Answer:
92,00=9.2*10^4
109,000=1.09*10^5
4,673=4.673*10^3
0.00087=8.7*10^-4
0.0235=2.35*10^-2
Step-by-step explanation:
What is the difference of 85.23 and 2.675?
Answer: 82.555
Step-by-step explanation: I used a calculator
What is 10 times as much as 0.06.
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
I need help I don't understand
Plzzzzzz help me with all 3 answers
Answer:
1) is arithmetic (because your adding 10)
2) is not arithmetic
3) is arithmetic ( because your adding 10)
Step-by-step explanation:
Nathan is using his grandmother's recipe to make pies
On Monday, he used 15 3/4 cups of sugar to make 9 pies
On Tuesday, he used 23 3/4 cups of sugar to make 13 pies
Which of the following must be true? (Select all that apply)
A) He used 1 cup of sugar for every 1 3/4 pies he made
B) He would use 14 cups of sugar to make 8 pies
C) The number of cups of sugar is proportional to the number of pies he made because he used the same number of cups of sugar for each pie
D) The number of cups of sugar is not porptional to the number of pies he made because the increase in the number of cups of sugar between Monday and Tuesday is greater than the increase in the number of pies
E) if Nathan uses 8 3/4 cups of sugar to make 5 pies on Wednesday and then graphs the points, for all the three days, to represent the relationship between the cups of sugar used and the number of pies made, the points would not fall on a straight line
Answer:
its a & c
Step-by-step explanation:
A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
What linear equation has a slope of -2 and y-intercept of 3?
Answer:
y=-2x+3
Step-by-step explanation:
equation is y=mx+c
HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
In the isosceles trapezoid LMNO, find the value of x.
5
9
15
45
Answer:
15 would be the correct answrr
Dierdre’s work to solve a math problem is shown below.
Problem: How many 1 and one-half-foot pieces can be cut from a 12-foot length of ribbon?
Step 1:
1 and one-half divided by 12 = n
Step 2:
Three-halves divided by 12 = n
Step 3:
Three-halves times StartFraction 1 Over 12 EndFraction = n
Step 4:
StartFraction 3 Over 24 EndFraction = n
Answer:
One-eighth = n
What was Dierdre’s first error?
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
She used an improper fraction in step 2 that is not equivalent to 1 and one-half.
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
She reduced the fraction in step 4 incorrectly.
Step-by-step explanation:
step 1
Answer:
Step 1)-She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
Step-by-step explanation:
I got it right on my unit test :>
PLEASE HELP IM TIMED
Jessica and Jonathan need to figure out how much to charge for their lemonade. First, they need to know how much they spent on ingredients! As seen in the table, they bought 6 containers of lemon juice, 2 packages of sugar, and 2 bottles of water.
What is the total amount of money they spent?
1) $12.90
2) $16.34
3) $18.75
4) $20.16
Answer:
20.16
Step-by-step explanation:
add
Answer:
20.16
Step-by-step explanation:
Got it on Freckle
Which piecewise function is shown in the graph?
Answer:
A
Step-by-step explanation:
why would i lie to you
ƒ2 + 8 if ƒ = 7? Please help, LOL.
Answer:
24
Step-by-step explanation:
If f is equal to 7, you'd multiply 7 by 2 (following pemdas/gemdas). When you multiply those two numbers, you get 14. If you add 8 to 14 you get 24.
SOMEONE PLEASE HELP ME WITH THIS!!!!
Answer:
D.
Step-by-step explanation:
115x + 170 = 630
Subtract 170 from each side of the equals,
115x = 460
Divide 460 by 115,
4
Thus, D is your correct answer.
Answered by:
matthewarvin06
Hey! Thanks for reading my answer. If this helped you in any way, please rate or say thanks! It's really appreciated. If you have any further questions, please let me know. Thanks!
Simplify the expression:
- square root of 96
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
Is y=1/2x-1 proportional
Answer: No
Step-by-step explanation: Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.
Brainiest!!!!!!! please help
The answer to this question is B, No solution
What is the distance between point (3,2) and line y=1/4x-9
Answer:
9.94
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] x - 9
y - 2 = - 4(x - 3)
y = - 4x + 14
- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9
16x - 56 = - x + 36
17x = 92
x = [tex]\frac{92}{17}[/tex]
y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]
(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )
d ≈ 9.94396
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
Write as an exponent with the base of b:
[tex]bb^{m}[/tex]
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[tex]b. {b}^{m} = {b}^{1 + m} [/tex]
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9/10 / -6/5 WHAT IS THE ANSWER?!?!?!?!?
Answer:
the answer is [tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
Answer:
102
400/4= 100 and 8/4 is 2 sooo 102
When you divide 408 by 4 You will get 102
408/4 =102
I need Airtime
+233559259636
Nothing small
If you want to help me then message me through
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I need help :( this is like super hard I dont know what the anser is
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
Find the slope of the line passing through the points (-5, 7) and (-7, 1).
Answer:
[tex]m=3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 7)
Point (-7, 1)
Step 2: Find slope m
Substitute: [tex]m=\frac{1-7}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-6}{-2}[/tex]Divide: [tex]m=3[/tex]And we have our final answer!
Mandy makes beaded bracelets and sells them for $5 each. If she sells the bracelets for 250% of the cost of her materials, how much does each bracelet cost to make?
Each bracelet costs $
to make.
Answer:
Each bracelet cost $2 to make.
Step-by-step explanation:
I did the assignment.
Answer:
$2
Step-by-step explanation:
(Brainliest plz) if im right
Which of the following numbers is not a perfect square?
a. 49
b. 121
c. 125
d. 144
Answer:
C. 125Step-by-step explanation:
49 = 7×7 ← a perfect square
121 = 11×11 ← a perfect square
144 = 12×12 ← a perfect square
but:
125 = 5×5×5 = 5√5×5√5 and 5√5 is not integer so 125 is not a perfect square
Answer:
C. 125
Step-by-step explanation:
source: trust me bro