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Related Questions
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
Answers
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)
2.1(0.2x−1.4)=1.3(0.4x−3.5)
Answers
Answer:
x=9.84375
Step-by-step explanation:
...
Answer:
16.1=x
Step-by-step explanation:
2.1(0.2x-1.4)=1.3(0.4x-3.5) Distribute
0.42x-2.94=0.52x-4.55 Combine like terms
+4.55 +4.55
0.42x+1.61=0.52x
-0.42x -0.42x
1.61=0.1x
0.1 0.1
16.1=x
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is the percent increase in the number of tickets sold?
Answers
Answer:
.909 (ROUNDED)
Step-by-step explanation:
In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.
1914-174=1740
1740 was the amount they got last year
Now you want to find the percent difference between the two.
1740/1914=.909090 (Repeats)
So the percent increase would be
.909090
.101010
This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
Answers
Answer:
4/1x plus 2
Step-by-step explanation:
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
Answers
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
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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
Answers
Answer:
its a & c
Step-by-step explanation:
What is 10 times as much as 0.06.
Answers
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
Which piecewise function is shown in the graph?
Answers
Answer:
A
Step-by-step explanation:
why would i lie to you
Can someone help me?
Answers
x will equal 30...set them equal to each other and solve from there
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.
Answers
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 :>
20 POINTS An electrician charges a set fee for every house call and then charges an hourly rate depending on how long the job takes. The total cost of the electrician's services can be determined using the equation C=65+60t, where t is the number of hours the electrician spends at the house working. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
[tex]the \: slope \: is \to \boxed{60}[/tex]
Step-by-step explanation:
[tex]if \to C=65+60t \\ C=60t + 65 \\ but \: the \: \boxed{ c - intercept} \: is \: in \: the \: form \to \\ c = mt + b \\ hence \to \\ 60t = mt \\ m = \frac{60t}{t} \\ m = 60 \\ the \: slope \: is \to \boxed{60}[/tex]
We want to analyze the given linear equation, we will find that the slope is 60, and it means that he charges 60 per hour.
Linear equations:
A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
In this case, we have the equation:
c(t) = 60*t + 65
Is easy to identify that the slope is equal to 60.
Given that we know that he charges per hour, and that t represents the number of hours that the electrician worked, we can assume that the slope represents how much the electrician charges per hour.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/14323743
(3x-4)(x+7)-1/4x^2 as a trinomial in standard form. If you can pls provided step by step explanation
Answers
The trinomial in standard form is 11/4x² + 17x - 28
How to rewrite the expression?The expression is given as:
(3x-4)(x+7)-1/4x^2
Rewrite properly as:
(3x - 4)(x + 7) - 1/4x²
Expand the expression
3x² - 4x + 21x - 28 - 1/4x²
Collect like terms
- 1/4x² + 3x² - 4x + 21x - 28
Evaluate the like terms
11/4x² + 17x - 28
Hence, the trinomial in standard form is 11/4x² + 17x - 28
Read more about trinomial at:
https://brainly.com/question/1538726
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What is the distance between point (3,2) and line y=1/4x-9
Answers
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
is 6.7 rational or irrational
Answers
Answer:
Rational
Step-by-step explanation:
Rational numbers can be expressed, while irrational numbers (such as pi) go on forever.
Hope I helped!
HELP I NEED TO PASS OR ELSE I WILL GET A WHOOPING
Answers
Answer: XD You have Among Us
Step-by-step explanation:
$1972.00 is what I got
Mark me as brainliest, Among Us User
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.
Answers
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
please help me out on this
Answers
Answer:
4 months and 13 stamps
Step-by-step explanation:
Use a char, add two stamps each month for Joy and subtract 3 for Ronald.
blank 2: 13 stamps
explanation : for Joy add 2 stamps each month ( 2 times 4 equals 8 stamps) add 8 stamps to original 5 stamps ( 8+5=13)
for Ronald subtract 3 stamps each month (3 times 4 equals 12 stamps) subtract 12 stamps from original 25 stamps ( 25-12=13)
both end up with 13 stamps left over a time period of 4 months.
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?
Answers
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.
What is the domain of this function?
Answers
Answer:
option A because rule of domains
Rearrange to make x the subject: 3x+8= has x+6y
Answers
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
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.
Answers
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.
Simplify the expression:
- square root of 96
Answers
Answer:
Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.
Step-by-step explanation:
Determine the domain of f(p)= 4(p) +1000. Justify your answer with an explanation for the domain.
Answers
Answer:
Domain: (-∞, ∞)
General Formulas and Concepts:
Alg I
Domain is the set of x-values that can be inputted into function f(x).Step-by-step explanation:
Step 1: Define function
f(p) = 4p + 1000
Step 2: Analyze
We note down that we are not given a restriction or an interval with the function. We also note down that we can plug in any number x and it would give us an output.
Therefore, our domain is All Real Numbers or (-∞, ∞)
Which algebraic expression represents “the class was divided into six equal groups”?
6 + w
6w
StartFraction 6 Over w EndFraction
StartFraction w Over 6 EndFraction
Answers
Answer:
Option D StartFraction w Over 6 EndFraction is correct option.
Step-by-step explanation:
We need to find algebraic expression that represents “the class was divided into six equal groups”
Let complete class strength is w
Dividing into six equal groups we get w/6
The algebraic expression that represents “the class was divided into six equal groups” is w/6
So, Option D StartFraction w Over 6 EndFraction is correct option.
Answer:
d
Step-by-step explanation:
i got it right
I need help I don't understand
Answers
Solve this equation.
75 – 3.5y – 4y = 4y + 6
Answers
Answer:
y=6
Step-by-step explanation:
75-3.5y-4y=4y+6
combine like terms)
75+(-3.5y-4y)=4y+6
75-7.5y=4y+6
add 4y to each side to combine the terms) 75+(-7.5y-4y)=6
75-11.5y=6
subtract 75 from each side to isolate the variable) -11.5y=-69
divide by -11.5 to isolate the variable) -11.5y/-11.5=-69/-11.5
y=6
In the isosceles trapezoid LMNO, find the value of x.
5
9
15
45
Answers
Answer:
15 would be the correct answrr
Solve the following problem: 892 ÷ 4 = ? *
\
Answers
Answer:
223
Step-by-step explanation:
hope it helps!!!!......
Answer:
223
Step-by-step explanation:
892 ÷ 4 = 223
Can i get brainliest? plz!
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answers
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
how do I get on the leaderboard
I have 1900 something points way more than these people. Is it about how many questions you ask?
Answers
Answer:
No its about how many you get PER DAY
Step-by-step explanation: