Answer:
24
Step-by-step explanation:
The remainder obtained when x⁴ +15x³ +6x² - 12x + 3 is divided by (x+2) is____.
Answer:
-53
Step-by-step explanation:
(x+2)
x^4 = -2^4 = 16
15x^3 = 15* (-2)^3 = -120
6x^2 = 6(-2^2) = 24
12x = 12*(-2) = -24
substitute into equation:
x^4 + 15x^3 + 6x^2 - 12x + 3 = 16+ (-120) + 24 - (-24) + 3 = -53
Given Polynomial is x^4 +15x^3 +6x^2 - 12x +3
Divisor = x+2
We know that
Remainder Theorem:
Let P(x) be a polynomial of the degree is greater than or equal to 1 and (x-a) is another linear polynomial,If P(x) is divided by (x-a) then remainder is P(a).
So, P(x) is divided by (x+2) then the remainder is P(-2).
P(-2) =
⇛(-2)^4+15(-2)^3+6(-2)^2-12(-6)+3
⇛ 16+15(-8)+6(4)+72+3
⇛16-120+24+72+3
⇛ 67-120
⇛ -53
P(-2) = -53
Answer:- The remainder is -53.
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The remainder obtained when x^4 + 3x^2 - 2x + 2 is divided by (x + b) is the square of the remainder obtained when x^2 – 3 is divided by (x + b...
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sorry here is the question!! please help and Thank you!!
Answer:
B. 4
Step-by-step explanation:
[tex] \dfrac{\sqrt{32}}{\sqrt{2}} = [/tex]
[tex] = \dfrac{\sqrt{16 \times 2}}{\sqrt{2}} [/tex]
[tex] = \dfrac{\sqrt{16} \times \sqrt{2}}{\sqrt{2}} [/tex]
[tex] = \dfrac{4\sqrt{2}}{\sqrt{2}} [/tex]
[tex] = 4[/tex]
A recent survey of 8,000 high school students found that the mean price of a prom dress was $195. 00 with a standard deviation of $12. 0. Alyssa thinks that her school is more fashion conscious and spent more than $195. 0. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208. 0. Which of the following is the correct z-statistic for this situation? 0. 24 4. 84 7. 51 96. 90.
Answer:4.84
Step-by-step explanation:
Answer: Check attached :) Right on ED22
Step-by-step explanation:
Find the equation of a line that passes through the point (3,4) and has a gradient of 4.
Leave your answer in the form
y=mx+c
Answer:
The equation of a line in the slope-intercept form is:
y = 5x - 18
The slope-intercept form of the line equation
where
m is the slope
b is the y-intercept
In our case, we are given
m = 5
Point (4, 2)
now substituting m = 5 and (4, 2) in the slope-intercept form of the line equation to determine the y-intercept
y = mx + b
2 = 5(4) + b
20 + b = 2
subtract 20 from both side
20 + b - 20 = 2 - 20
b = -18
now substituting b = -18 and m = 5 in the slope-intercept form of the line equation
y = mx + b
y = 5x + (-18)
y = 5x - 18
Therefore, the equation of a line in the slope-intercept form is:
y = 5x - 18
Pls mark me as brainliest thank you
Answer:
Step-by-step explanation:
m = 4
y = mx +c
y= 4x + c
Plugin x = 3 and y= 4 in the above equation
4 = 4*3 + c
4 = 12 +c
4 - 12 = c
c = -8
Equation of the line :
y = 4x - 8
Keiko measures the circumference of three fruits.
Complete the table to show Keiko's measurements, the actual measurements, the
difference between the measurement and the actual, and the percent error.
CLEAR
CHECK
6 cm
81 cm
10%
50%
20%
10 cm
Apple
Grapefruit
Watermelon
15 cm
24 cm
Keiko's measurement
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
30 cm
Actual measurement
90 cm
5 cm
Absolute difference
DRAG AND DROP
AN ITEM HERE
9 cm
Percent error
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
no
The absolute measurement specifies the magnitude of the difference
which may be positive or negative.
The completed table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Reasons:
The formulas for the inputs in the table are;
Absolute difference = Keiko's measurement - Actual measurement
The difference between Keiko's measurement and the actual measurement can be positive or negative while the absolute difference is always positive
[tex]\displaystyle Percent \ error = \mathbf{\frac{Keiko's \ measurement - Actual \ measurement}{Actual \ measurement} \times 100}[/tex]
Therefore;
[tex]\displaystyle Percent \ error = \frac{ \mathbf{Absolute \ difference}}{Actual \ measurement} \times 100[/tex]
Which gives for Apple;
The actual measurement for Apple = 15 cm - 5 cm = 10 cm
[tex]\displaystyle Percent \ error \ for \ Apple = \frac{5 \, cm}{10 \, cm} \times 100 = \mathbf{50\%}[/tex]
Grapefruit column of the table;
Absolute difference for Grapefruit = |24 cm - 30 cm| = |-6 cm| = 6 cm
The absolute difference for Grapefruit = 6 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit = \mathbf{\frac{6 \, cm}{30 \, cm} \times 100} = 20\%[/tex]
Percent error for Grapefruit = 20%
Watermelon column of the table;
Keiko's measurement = Absolute difference + Actual measurement
Using the given options, we have, 90 - 9 = 81
Therefore, the difference = -9, while the absolute difference = 9
Keiko's measurement for Watermelon = 90 cm - 9 cm = 81 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit= \frac{9 \, cm}{90 \, cm} \times 100 = 10\%[/tex]
The completed table is as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Learn more about percentage error here:
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1/2 (x + 8) - 15 = - 3
Answer:
x=16
Step-by-step explanation:
Heres the work below
Hope this Helps
3.) Find the mean for each data set. ROUND FINAL ANSWERS TO THE TENTHS PLACE.
Answer:
6.4
Step-by-step explanation:
5+7+7+5+7+7+6+7+7 = 58
There are 9 numbers
58 ÷ 9 = 6.444444
To the tenth = 6.4
Use the vertical-line test to determine whether each graph represents a function.
Answer:
14) Not a function 15) Function 16) Function
Step-by-step explanation:
The vertical line test is when you draw a line on the graph to see if it passes the function. The rule is that you can only have one intersection per line
for number 14, if you draw a line, it intersects the function twice each time
for 15, no matter what kind of vertical line you draw, each line will only intersect the function once and the same for 16 (except 16 is more of a linear function)
Answer:
Well a function can’t be on the same one as each other so thats why the vertical line test is used.
For number 14 if you’d draw a vertical line, you’d see there would be 2 answers So that can’t be a function.
For number 15, if you draw a vertical line, none of the given have 2 questions so number 15 is a function.
Whilst in number 16 if you’d draw a vertical line, there wouldn’t be anything that have 2 answers of that overlap. So it is a function
A 2-lb block of cheese us cut into 8 pieces of equal mass. What is the mass of each piece? (In oz)
Answer:
4 ounces each
Step-by-step explanation:
16 ounces = 1 pound
16x2=32
32/8=4
A family reunion has 184 people together at a local hotel. They travel in groups of 13 from the airport by van. How many vans will be needed to take the people to the hotel?
184 people
groups of 13
to find:How many vans needed to take the people to the hotel.
solution:[tex] \frac{184}{13} [/tex]
[tex] = 14.1538461538[/tex]
[tex]nearest \: whole \: number = 14[/tex]
therefore, they'll need 14 vans to take the people to the hotel.
answer= option B
help me please i am struggling to the very top
Answer:
x = 21 and both sides are 53 units long
Step-by-step explanation:
They are congruent, so they are equal, so
3x-10=x+32 then solve for x
2x=42
x=21
then plug x into each side to get its length
3x-10=3(21)-10=53
x+32=21+32=53
You would expect them to be the same since they are congruent
The data set represents the number of hours that fifteen students walked during a two-week period.
6 6 7 8 8 8 9 10 10 12 13 14 15 16 30
The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data? Explain or show your reasoning.
please help
Answer:
Yes, 30 would be your outlier.
Step-by-step explanation:
The rest of the numbers are closer and 30 is far away from the rest.
Write an equation that represents the line. Use exact numbers
Answer: [tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Step-by-step explanation:
take 2 points and use slope formula to find slope
[tex]\frac{4-2}{4-1}[/tex][tex]=\frac{2}{3}[/tex]
take the slope and a point on the graph and use point slope formula to get equation in point slope intercept form
[tex]y-2=\frac{2}{3}( x-1)[/tex]
[tex]y-2=\frac{2}{3}x-\frac{2}{3}[/tex]
[tex]y=\frac{2}{3}x-\frac{2}{3} + 2[/tex]
[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Cooldown
Tyana swims at a constant speed, 4 meters every 5 seconds. How long does it take her to swim 20
meters? Solve using two different methods
Answer:
25 seconds
Step-by-step explanation:
Two methods:
1) Calculate Tyana's speed in m/sec: 4m/5sec = 0.8 m/sec. Now find the number of seconds, x, needed to travel 20 meters:
x*(0.8 m/sec) = 20 m
x = 20 m/(0.8 m/sec)
x = 25 seconds
2) Do a proportion. If Tyana can swim 4 meters in 5 sec, then she can do 8 meters in 10 seconds. That also then means 16 meters in 20 seconds. Another 5 seconds adds another 4 meters, for a total of 20 meters in 25 seconds.
Write a real-life word problem that can be solved using the system of inequalities below. Be sure to define the variables. x + 4y < 400 x + 6y > 400 Scoring Rubric Scoring Rubric Sample Responses: Two customers each bought the same table and some of the same chairs from a furniture store. The first customer bought 1 table and 4 chairs and spent less than $400. The second customer bought 1 table and 6 chairs and spent more than $400. What could be the price of each chair (y)? Kyle and Jasmine each bought tickets for a concert. Kyle bought 1 student ticket and 4 adult tickets and spent less than $400. Jasmine purchased 1 student ticket and 6 adult tickets and spent more than $400. What could be the price of the adult ticket (y)? Two head coaches bought shirts for their coaching staff. The first coach bought 1 head coach shirt and 4 assistant coach shirts and spent less than $400. The second coach bought 1 head coach shirt and 6 assistant coach shirts and spent more than $400. What could be the price of each assistant coach shirt (y)? Two customers each bought a surround sound system and new movies from an electronic store. The first customer bought the surround sound system and 4 new movies and spent less than $400. The second customer bought the surround sound system and 6 new movies and spent more than $400. What could be the price of each movie (y)? 2 Points The response indicates proficiency in creating real-life word problems that can be represented by given systems of inequalities. The response includes the definition of each variable. The student correctly completes the task. 1 Point The response indicates partial proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point. Answers that give a real-life word problem but do not include the definition of each variable receive 1 point. 0 Points The response indicates no proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student shows no understanding of the concept or task. Answers that simply solve the system but do not give a word problem receive 0 points.
Greg and George bought shoes at a local store. Greg bought one dress shoe and 4 sneakers and spent less than $400.
George bought one dress shoe and 6 sneakers and spent more than $400.
Inequality signs < and > denote less than and greater than respectively.
To solve the above inequalities in order to find x and y prices, a pair of solutions will be the result since linear inequalities with two variables will have a range of solutions
In other words, to find x and y for the inequalities we find a point (x,y) that satisfies the inequality.
Example: if the price of a dress shoe is $80 and the price of a sneaker is $60, it satisfies the system of inequalities for Greg and George since their shoe expenses stay below and above $400 respectively.
We could then say that the point (80,60) is one of the solutions to the inequalities.
We could graph the inequalities in order to find points on the graph that satisfy the inequalities. To graph the inequality we make the equation a linear equation x+4y=400 and plot a straight line in accordance to the inequality. All points above the line satisfy George's inequality and vice versa.
Read more here: https://brainly.com/question/14399777
I need help :( I forgot how to do this
Answer:
[tex]A=\frac{1}{2}h(b_{1}+b_{2} ) | *2\\2A=h(b_{1}+b_{2} ) | : (b_{1}+b_{2} )\\\frac{2A}{(b_{1}+b_{2} )} = h[/tex]
I hope it's good.
Take care !
What is Osmosis? brainliest to anybody who can answer this correctly
Answer:
Osmosis is the diffusion of water to an area of high water concentration to an area of low water concentration.
Step-by-step explanation:
Answer:
the spontaneous passage or diffusion of water or other solvents through a semipermeable membrane
Step-by-step explanation:
a process by which molecules of a solvent tend to pass through a semipermeable membrane from a less concentrated solution into a more concentrated one, thus equalizing the concentrations on each side of the membrane.
The ratio of the number of baskets made by Salem to the number of baskets made by Khaled is 3 to 4. Salem made 12 baskets. How many baskets did Khaled make?
Answer:
Khaled made 16 baskets.
Step-by-step explanation:
3 12
-- = ---
4 x
12 / 3 = 4
4 x 4 = 16
x = 16
GIVING BRAINLIEST!!!!!!!!
[tex]\red{\bold{Answer:}}[/tex]
The Inverse variation of the total stopping distance and the force of the pavement to determine the speed the car travelling.
#BrainlyFast
#CarryOnLearning
(≡^∇^≡)
Jerome hikes down a mountain for 3 hours. During this time, he hikes a total distance of 2 ½ miles. How long does it take Jerome to walk 1 mile?
Answer:
5/6
Step-by-step explanation:
3 hours= 2 1/2 miles
1 hour= 2 1/2 divided by 3
It would take him 5/6 of an hour
Hop this helps!
Find an equation of the line passing through the point (2, 7) with slope m= 6.
Answer:
y - 7 = 6(x - 2)
Step-by-step explanation:
1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]
m = slopey_1 = first y-coordinatex_1 = first x-coordinate2. (Plugging in values)
[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]Therefore, one equation of the line is y - 7 = 6(x - 2).
Sorry for the spam, I just really need help.
Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water?
Answer:2 1/2
Step-by-step explanation:
can you answer number four please
Answer:
l = 104/3
w = 40/3
Step-by-step explanation:
l = 2*w + 8
P = 2(l + w) = 96
48 = l + w
2w + 8 + w = 48
3w = 40
w = 40/3
l = 2*40/3 + 8
= 80/3 + 8
= 80 + 24 / 3
= 104/3
Jeffrey purchased a car for $180 that gives him 20 visits to a new gym and includes a one time fee for unlimited use of the sauna. After five visits, Jeff has $123.75 left on the card, and after 11 visits, he has $74.25 left on the card. Write an equation in point slope form, then determine the cost of each visit in the fee for the sauna use.
I desperately need this answer. Thank You so much and have a great day
Answer: D.25
Step-by-step explanation:
Since they gave you P(10) You'll have to substitue 10 wherever you see the variable 10.
2(10)+5
2(10)=20
20+5+25
Answer:
25
Step-by-step explanation:
Since they're asking you to find the value of p(10) when t is 10, you would substitute t out for 10 in the function and then solve.
p(10)=2(10)+5
p(10)=20+5
p(10)=25
A house is sold for 8% above its original price. If it was sold for £378000 then calculate its original price
Answer:
$350,000
Step-by-step explanation:
lets say the original price is x, then 378000=1.08x, divide by 1.08 to get 350000
Which could be the lengths of three sides of a triangle?
a. 10 ft, 10 ft, 21 ft
b. 19 ft, 11 ft, 3 ft
c. 18 ft, 8 ft, 10 ft
d. 12 ft, 25 ft, 35 ft
e. 4 ft, 4 ft, 8.4 ft
Answer:
I believe it is d
Step-by-step explanation:
it is the only option where every combination of two sides is larger than the third
Answer:
d
Step-by-step explanation:
if you add up 2 sides it is larger than the third, which is what we are looking for :))
What is the answer? I have looked and there is no question that is close to mine.
Answer:
Since there is a right angle, this is a right-angled triangle and we can solve for x using Pythagoras Theorem that goes [tex]a^2+b^2=c^2[/tex], where c is the hypotenuse (longest side of the triangle).
In this case, x would be the c.
Substitute in values of a and b:
[tex]10^2+10^2=c^2[/tex]
[tex]c^2=200[/tex]
[tex]c=\sqrt{200}[/tex]
[tex]c=10\sqrt{2}[/tex] (Option A)
Help please please urgently
Answer:
I think the answer to the question is 3/10?