What is the remainder when f(x) = x2 + 14x − 8 is divided by (x − 3)?
Answers
X^2 +14x -8 / x-3
= x + 17 with a remainder of 43
See attached picture for solution.
Answer:
43
Step-by-step explanation:
Insert 3 into the equation and solve to find your answer.
Just took the test.
Related Questions
Solve the following inequality in two ways and make a claim as to which
method is more efficient.
1/4 (8n - 12) < n + 2
Answers
Answer:
The solution of the given inequality n < 5
Step-by-step explanation:
Explanation:-
Given inequality
[tex]\frac{1}{4} (8 n -12 ) < n +2[/tex]
Step(i):-
Cross multiplication '4' we get
8 n - 12 < 4 ( n +2)
8 n - 12 < 4 n + 4×2
8 n - 12 < 4 n +8
Subtracting '4 n ' on both sides, we get
8 n - 4 n - 12 < 4 n - 4 n +8
4 n - 12 < 8
Step(ii):-
Adding ' 12 ' on both sides , we get
4 n -12 + 12 < 8 + 12
4 n < 20
Dividing "4' on both sides , we get
n < 5
The solution is n < 5
Conclusion:-
The solution of the given inequality n < 5
How do you find the area of a pizza with a diameter is 18 inches
Answers
Answer:
The area of the pizza with a diameter of 18 inches is 254.34 inches.
Step-by-step explanation:
The formula to find the area of a cirlce is A = pi x r^2 or pi times radius squared.
Second, we need to find our radius. To find the radius we need to divide the diameter by 2 to get the radius. In this case; 18 divided by 2 is 9.
Then, we need to plug the radius in the formula:
A = 3.14 x 9^2
9 squared or 9 times 9 equals 81
Next, multiply 81 by 3.14 and you get 254.34
Lastly, add the units of measurement, which would be inches.
Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi
Answers
Answer:
84.78 in
Step-by-step explanation:
in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78
{1, 5, 10, 15} {1, 3, 5, 7} Which of the following shows the union of the sets?
Answers
Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
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What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?
8, 32, 128, 512
8, 32, 64, 512
2, 8, 32, 128,
32, 128, 512, 2048
Answers
Answer: B, but technically, all of them are correct except C.
Step-by-step explanation:
First, you fill in 1 for n:
= 2 x 4(1)
= 2 x 4
= 8
Next, I filled in 4 for n:
= 2 x 4(4)
= 2 x 16
= 32
Then, I filled in 8 for n:
= 2 x 4(8)
= 2 x 32
= 64
You can already figure this one out, and the answer is B.
Answer:
all are correct except the third choice.
Mr. Knotts found the difference of the following expression. Which statement is true about Mr. Knotts’s work?
StartFraction x Over x squared minus 1 EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 1: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 Over x minus 1 EndFraction
Step 2: StartFraction x Over (x + 1) (x minus 1) EndFraction minus StartFraction 1 (x + 1) Over (x + 1) (x minus 1) EndFraction
Step 3: StartFraction x minus x + 1 Over (x + 1) (x minus 1) EndFraction
Step 4: StartFraction 1 Over (x + 1) (x minus 1) EndFraction
In step 1, he did not correctly factor the denominator.
In step 2, he did not use the correct common denominator.
In step 3, he did not distribute the negative sign when he subtracted.
In step 4, he did not correctly subtract the numerator.
Answers
Answer:
He did not distribute the negative sign when he subtracted.
Step-by-step explanation:
x-(x+1) is equal to a -1. He did not distribute the negative.
In third step, he did not distribute the negative sign when he subtracted. Then the correct option is C.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
Mr. Knotts found the difference of the following expression.
The expression is given below.
[tex]\rm \rightarrow \dfrac{x}{x^2-1} - \dfrac{1}{x -1}[/tex]
Then the first step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1}{x -1}[/tex]
The second step of the expression will be
[tex]\rm \rightarrow \dfrac{x}{(x+1)(x-1)} - \dfrac{1(x+1)}{(x+1)(x -1)}[/tex]
The third step of the expression will be
[tex]\rm \rightarrow \dfrac{x - (x +1)}{(x+1)(x-1)}\\\\\rm \rightarrow \dfrac{x - x -1}{(x+1)(x-1)}[/tex]
In third step, he did not distribute the negative sign when he subtracted.
Then the correct option is C.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Is (3, 2) a solution of -8x – 2y < 6?
Answers
Answer:
yes
Step-by-step explanation:
To determine if the point is a solution, substitute the coordinates into the left side of the inequality, evaluate and compare with right side.
- 8(3) - 2(2) = - 24 - 4 = - 28 < 6
Thus (3, 2) is a solution
Answer:
Yes.
Step-by-step explanation:
Let's substitute x = 3 and y = 2 into the inequality:
-8(3) - 2(2) = -28 which is less than 6 so it is a solution.
What is the slope of a line PARALLEL to the graph?
b. 0
C. 3
d.
31
2
-2
0
6
В
D
Answers
Answer:
Step-by-step explanation:
hello :
this line passes trough A(1,1) and B(2,4)
the slope is : (YB - YA)/(XB -XA)
(4-1)/(2-1) = 3/1
the slope is : 3.....answer : C (parallal means : same slope)
Mr. Sanders teaches a painting class. He makes the histogram below to summarize the
number of paintings each student has completed since the class began. Mr. Sanders says
that the histogram shows that of the students have finished 12 or more paintings.
Number of Paintings
Finished by Students
Number of Students
N
0-2 3-5 6-8 9-11 12-14 15-17
Number of Finished Paintings
What error did Mr. Sanders likely make, and what is the actual fraction of students who have
completed 12 or more paintings? Use the drop-down menus to explain his reasoning and correct
his mistake.
Mr. Sanders likely found that of the students have completed 12 or more paintings because
there are Choose... bars on the histogram, and choose... of the bars represent
students with 12 or more completed paintings. The actual fraction of the students who have
completed 12 or more paintings is Choose...
Answers
Answer:
Answer: (1st box) = 6 (2nd box) = 2 (3rd box) = 2/3
Step-by-step explanation:
I got this question too and I got it right. ❤️
Mr. Sanders most certainly discovered that one-third of pupils have done 12 or more paintings because the histogram has six bars, two of which reflect students who have completed 12 or more paintings. The actual percentage of pupils who have completed 12 or more paintings is [tex]\frac{4}{19}[/tex].
Mr. Sanders' class has 19 students. That histogram has six bars. He most likely assumed it because [tex]\frac{2}{6} = \frac{1}{3}, \frac{1}{3}[/tex] of his pupils finished 12 or more paintings. That is not the case. 2 different isn't even a whole number. The other dates are[tex] \frac{2}{3}, \frac{4}{19}, \ and \ \frac{4}{17}[/tex]. Two-thirds and 4 are not whole figures either. That leaves [tex]\frac{4}{19}[/tex]. Four-nineteenths equal a complete number four. Since there are no such things as partial pupils, we must enter [tex]\frac{4}{19}[/tex].Therefore, the answer is "[tex]\to (1^{st}\ box) = 6 (2^{nd}\ box) = 2 (3^{rd}\ box) = \frac{2}{3}[/tex]"
Learn more:
brainly.com/question/20427581
The probability that a student guesses the correct answer to a five-choice multiple choice question is
P(correct) = 0.2. How many correct answers should a student expect to guess on a test with 95
five-choice multiple choice questions?
A student should expect to guess correct answers.
Answers
Answer:
19?
Step-by-step explanation:
Hope this helps
The possible outcomes are 0, 1, 2, …, 95 correct answers.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
P(correct) = 0.2
N=95
Now,
In this case, the random variable is the number of correct answers on a test with 95 five-choice multiple choice questions. Each question has a probability of 0.2 to be guessed correctly and a value of 1 point for each correct answer.
To find the expected value, we need to multiply the probability and the value for each possible outcome and then add them up.
Therefore, by probability the answer will be 0, 1, 2, …, 95 correct answers.
Learn more about probability here;
https://brainly.com/question/9326835
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Surface area of a cone in terms of pi
Answers
HELP ASAP 30 POINTS!~!!!
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Answers
Math question down below
Answers
Answer:
E
E is the only one that ends with 70 and is also all multiples of 6.
What is the completely factored form of f(x) = x^3 – 2x^2 – 5x + 6?
Answers
Answer:
D
Step-by-step explanation:
Answer:d
Step-by-step explanation:
can some one answer this for me plz
Answers
Answer:
The range for the 6th graders is 30-90 and the range for the 7th graders is 50-90
Step-by-step explanation:
Each one of the dots represents a individual test score from a student look at the two dots on each side and the number it falls on that shows you the range for each individual dot plot
abc2 at a = 4, b = 1/4, c = 5
x + y + z/3 at x = 1, y = 3, z = 5
(p + q)2 at p = 8, q = –5
Answers
Look at the attached picture
Hope it will be helpful to you...
In that school, what is the ratio of the number of students who like math to the number of students who like science? (see picture)
Answers
Answer: 1/2:1/3
I hope this helps
Step-by-step explanation:
In the problem it says 1/2 of the students in the school like math, and it also says in the problem that 1/3 of the students in the school like science. The question is asking for a ratio of students who like math to students who like science, so now the only thing you need to do is input those 2 numbers in the order that they want it in. Which is 1/2:1/3. And don't forget that the colon : is what you always put in between the two numbers.
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Need help asappp
Find the surface area of a triangular prisms, base measures 10 cm, height measures 12 cm, sides measure 13 cm
Answers
Answer:
552
Step-by-step explanation:
24% of what number 30
Answers
Answer:
125
Step-by-step explanation:
30*.24=125
Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
How do you find the x- and y-intercepts of an equation?
A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.
B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.
C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.
D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.
Answers
Answer:
To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.
Answer:
C
Step-by-step explanation:
A, B, and D don't make sense
The radius of a sphere is 8 centimeters. Which formula can be used to find the volume of the sphere?
Answers
Hey there! I'm happy to help you!
The formula for the volume of a sphere is [tex]V=\frac{4}{3} \pi r^{3}[/tex], which is the the radius cubed multiplied by pi and 4/3. There are a lot of interesting proof videos out there about how this formula is derived and it is super cool and you would love it!
If our radius is 8 centimeters, we can plug it in like this:
[tex]V=\frac{4}{3} \pi (8)^{3}[/tex]
I hope that this helps! Have a wonderful day!
Graph the equation below by plotting the
y-intercept and a second point on the
line. When you click Done, your line will
appear.
Answers
Answer:
Step-by-step explanation:
Answer: Second point is (0.833,0)
Step-by-step explanation:
1. To determine slope you must use this formula Y= Mx + B
- M is the slope (positive or negative)
- B is the y-intercept
2. To find y-intercept you use (0, B)
3. M = -6/1
- 6 units down and 1 unit to the right since the slope is negative.
A jeweler sells gems at a cost in dollars per centigram that is 4 more than 6 times the weight of the gem in centigrams.
Thus, a gem that weighs w centigrams will be sold at a price of 6w + 4 dollars per centigram - meaning that a larger,
heavier gem will cost more per centigram than a smaller gem. If the jeweler sold a single gem for about $2500, what
did the gem weigh to the nearest centigram?
Answers
Answer:
416 centigrams
Step-by-step explanation:
2500 = 6w + 4
2496 = 6w
416 = w
Find the measure of angle U
Answers
Answer:
30 degrees
Step-by-step explanation:
first you have to find angle TSU which is 70 degrees
you get this my doing 180 - 110
then you add up all the angles in the triangle
so, 80 plus 70
you get 150
then you do 180 - 150 and get 30 degrees
What is the solution to log Subscript 5 Baseline (x + 30) = 3
x= -95
x= -5
x= 5
x=95
Answers
Answer:
95
Step-by-step explanation:
Which statement must be true?
Answers
Answer:
A
the two are parallel
Step-by-step explanation:
I hope its right
good luck!
X is at least 2" can be represented by x > 2.
True
False
Answers
Answer:
True
Step-by-step explanation:
Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign
hope this helped! :)
7. The distance between point (–4, 5) and another point is 10. What are the possible
coordinates of the other point?
A (2, 2)
B (2, 3)
C (2, –3)
D (–2, –3)
Answers
Answer:
D (-2, -3)
Step-by-step explanation: The distance is 10 units, so you take -4 (x) and go over 2 spaces so your at x = -2, and 2 units are down, 8 more to go. Then for (y) you do 5-8 and get -3 so now y = -3 . Now you have moved 10 spaces because 2 + 8 = 10 spaces, and are left at D (-2, -3).
The Distance Between -4 And 2 Is 6 (6^2=36)
The Distance Between 5 And -3 Is 8 (8^2=64)
36+64 =100 Sq Root Of 100 Is 10
Edward has $8000 in a savings account, has $2500 invested in the stock
market, owns home worth $30,000, has $20,000 left on his student loan
payment, and he has a $600 outstanding credit card debt. What is Edward's
total net worth?
A.19,900
B. 30,000
C. 20,600
D. 40,500
Answers
Answer:A 19900
Step-by-step explanation:
Answer:
A.19,900
Step-by-step explanation:
hope this helps!!
Solve this system of linear equations. Separate
the x- and y-values with a comma.
6x + 3y = -21
12x + 8y = -52
Enter the correct answer.
Answers
Answer:6.71
Step-by-step explanation:
