Answer: x + 3
Step-by-step explanation:
Given f(x) = 2x2 – x+ k, and the remainder when f(x) is divided by x – 1 is 3,
then what is the value of k?
Given :-
f(x) = 2x² - x + k .When f(x) is divided by (x-1) , the remainder is 3 .To Find :-
The value of k .Solution :-
Here we are given that ,
→ f(x) = 2x² - x + k
By Remainder Theorem , if f(x) is divided by x-a , then the remainder is f(a) .Hence here is f(x) is divided by x-1 , then the remainder will be f(1) . On substituting x = 1 , we have ,→ f(x) = 2x² - x + k
→ f(1) = 2(1)² - 1 + k
f(1) = 3 ,→ 3 = 2*1 -1 + k
→ 2 -1 + k = 3
→ k +1 = 3
→ k = 3-1
→ k = 2
Hence the value of k is 2 .
I hope this helps.
PLEASE HELP. I don’t get it at all and I’d really appreciate it. Thank you!
Answer:
was this the whole question cause it depends on what the plane is
Step-by-step explanation:
Josan and Adamas want to play a video game together. Their parents let them earn credits for video game time by reading books.
Josan's credits are each worth 5
5
minutes of play, and Adamas's credits are each worth 10
10
minutes of play. Josan also starts each day with 6
6
free credits, and she has already used 10
10
minutes of her video game time.
They each want to earn enough credits so that they will have the same number of minutes to play video games.
Which equation will solve for the number of credits,
z
, they must earn to have the same amount of play time?
Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.
EquationAn equation is an expression used to show the relationship between two or more numbers and variables.
Let z represent the number of credits they must earn to have the same amount of play time. Hence:
5z + 6(5) = 10z
5z = 30
z = 6
Both Josan and Adama must have to earn 6 credits for they to have the same amount of play time.
Find out more on Equation at: https://brainly.com/question/2972832
Answer:
5(z+6) − 10=10z
Step-by-step explanation:
whats the answer for this oneeeeeeeeeee
Answer:
1.35
Step-by-step explanation:
the explanation to the question is in the photo I sent
rounding off to the nearest tenth
then the final answer is 1.4
2. At a school shop, pens are sold at dallars each and ruler at y dollars each. Mr. James bought 4 pens and 5 rulers for $20. Mr. Pike bought 2 of the same pens and 4 of the same ruler for $16 a. Write two equations in and y to represent the information given above. b. Solve the equations
Help pleaseee :)
Answer:
x = 0, y = 4
Step-by-step explanation:
1 pen = x dollars
4 pen = 4x
1 ruler = y dollars
5 rulers = 5y
now,
a) = 5y + 4x = 20
2x + 4y = 16
Now,
2x + 4y = 16
or, 2x = 16 - 4y
or, x = (16 - 4y)/2
Now,
5y + 4x = 20
or, 5y + 4{(16 - 4y)/2} = 20
or, (10y + 64 - 16y) = 40
or, 64 - 6y = 40
or, 64 - 40 = 6y
or, 6y = 24
so, y = 4
now,
x = (16 - 4(4))/2
or, x =(16 - 16)/2
so, x = 0
Plot the image point P under the translation (x,y)→(x-4,y-6).
100 POINTS EASY QUESTION
Simplify the polynomial expression.
3x(-2x + 7) - 5(x - 1)(4x - 3)
Answer:
[tex]-26x^2+56x-15[/tex]
Step-by-step explanation:
[tex]3x(-2x + 7) - 5(x - 1)(4x - 3)[/tex]
Expand the brackets:
[tex]\implies -6x^2+21x-5(4x^2-7x+3)[/tex]
[tex]\implies -6x^2+21x-20x^2 +35x-15[/tex]
Collect like terms:
[tex]\implies -6x^2-20x^2+21x +35x-15[/tex]
Combine like terms:
[tex]\implies -26x^2+56x-15[/tex]
Answer:
Step-by-step explanation:
This is late reply. You can try searching online next time you need an answer in a hurry - most questions have been asked before: like here https://brainly.com/question/11412899
3x(-2x + 7) - 5(x - 1)(4x - 3)
= (-6x^2 + 21x) - 5(4x^2- 7x +3)
= -6x^2 + 21x - 20x^2 + 35x - 15
= -26x^2 + 56x -15
The equatin of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, -2)2
Answer:
Step-by-step explanation:
Parallel lines have the same slope, so if the slope of the given line is 2, the slope of the "new" line is also 2, and the slope-intercept equation becomes:
y = 2x + b.
Here you seem to have a "misprint," as "(3, -2)2 is not a valid expresion.
Supposing that y ou meant (3, -2), then our equation becomes
-2 = 2(3) + b, or -8 = b.
The desired equation is then y = 2x - 8
If this is not what you expected, please focus on your (3, -2)2 and rewrite it properly.
Mrs. Nguyen thought that she had $40 in her wallet. She actually has $48. What is her percent error? (Round to the nearest percent.)
Explanation:
Her guess is off by 8 dollars (since 48-40 = 8) and this is out of the true value of 48
So 8/48 = 1/6 = 0.1667 = 16.67% approximately is the percent error
This rounds to 17%
Problem situation:
Janelle is at the movie theater and has $20
$
20
to spend.
She spends $8
$
8
on a ticket and wants to buy some snacks. Each snack costs $4.99
$
4.99
.
How many snacks,
x
, can Janelle buy?
Inequality that represents this situation:
20≥8+4.99
20
≥
8
+
4
.
99
x
Drag each number to show if it is a solution to both the inequality and the problem situation, to the inequality only, or if it is not a solution.
Answer:
Step-by-step explanation:
20 - 8 =
12
12 / 4.99 =
2.40
Janelle can buy 2 snacks
20≥8+4.99
-8
12≥4.99
-4.99
7.01≥4.99
-4.99
2.02≥4.99 - Not true
Find the distance between P (2,2) and Q (5.5, 6.25)
Answer:
distance between them is 5.51 units.
Explanation:
[tex]\boxed{distance =\sqrt{(x2 - x1)^2+(y2-y1)^2} }[/tex]
given coordinates: P (2,2) and Q (5.5, 6.25)
using the formula:
[tex]\boxed{distance =\sqrt{(5.5 - 2)^2+(6.25-2)^2} }[/tex]
[tex]\boxed{distance =\sqrt{12.25+18.0625} }[/tex]
[tex]\boxed{distance =\sqrt{30.3125} }[/tex]
[tex]\boxed{distance = 5.51 }[/tex]
what is the general rule for 2,3,5,7
Answer:
They are prime
Step-by-step explanation:
Prime numbers are numbers that are not divisible by anything other than 1 and themselves.
Ellen says that one and 2/5 equal 5÷7. Is she correct? Explain.
A plane can fly 312 miles with the wind in 3 hours, while it takes the same plane 4 hours to fly the same distance against the wind. Find the speed of the plane in still air, and the speed of the wind.
The speed on the plane is 104mph while that of the wind is 78mph
Speed and distancesThe formula for calculating distance is expressed as:
Speed = Distance/Time
If the plane is flying with the wind;
3(r+ w) = 312
r + w = 104 ................... 1
If against the wind
4(r - w )= 312
r- w = 78 .................. 2
Add both equations
2r = 104 + 78
2r = 182
r = 91
Since r + w = 104
w = 104 - 91
w = 13
Speed on the plane = r + w = 91 + 13 = 104mi/hr
Speed on the wind = 91 - 13 = 78mi/hr
Learn more on speed here: https://brainly.com/question/4931057
Pls help needed quickly
Answer:
x = 5.87 cm
Step-by-step explanation:
The triangle shown is a right triangle with congruent legs.
That makes it a 45-45-90 triangle.
The ratio of the lengths of the sides of a 45-45-90 triangle is
1 : 1 : √2
The length of either leg is hypotenuse/√2.
8.3 cm / √2 = 5.87 cm
Answer: x = 5.87 cm
Complete and submit the W4 form using the personal information provided for Addison.
Addison Marie Smith
2222 W. Pine
Anytown, USA 55555
Social Security Number: 222 22 2222
Addison will only have one job, and there is no need to have any additional taxes withheld from her
paycheck.
The steps for completing a W-4 form include the following:
You should provide your information such as name, address, Social Security Number (SSN).You should indicate that Addison has one job only.You should indicate whether or not Addison has dependents.You should state that there is no need to have any additional taxes withheld from Addison's paycheck.You should provide a signature and date.What is a W-4 form?A W-4 form can be defined as an internal revenue service (IRS) tax form which is used to indicate the correct federal income tax that should be withheld from an employee's paycheck in the United States of America.
After an employee fills a W-4 form, it must be submitted to the internal revenue service (IRS) by the employer.
How to complete a W-4 form.Basically, the steps for completing a W-4 form include the following:
Step 1: You should provide your information such as name, address, Social Security Number (SSN).
Name: Addison Marie Smith Address: 2222 W. Pine Anytown, USA.Social Security Number: 222 22 2222Step 2: You should indicate that Addison has one job only.
Step 3: You should indicate whether or not Addison has dependents.
Step 4: You should state that there is no need to have any additional taxes withheld from Addison's paycheck.
Step 5: You should provide a signature and date.
Read more on W-4 form here: https://brainly.com/question/15507745
Simplify (6x2 − 3 5x3) − (4x3 − 2x2 − 16). 2x3 − x2 21 −2x3 x2 − 21 x3 8x2 13 −x3 − 8x2 13.
Like term's coefficient are added in addition of algebraic terms. The simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]
What are like terms?Those terms which have same variables raised with same power.
For example, [tex]5t^3[/tex] and [tex]6t^3[/tex] are like terms since variable is same, and it is raised to same power 3.
For example [tex]x^3[/tex] and [tex]3x^4[/tex] are not like terms as the variables are same but powers aren't same.
What are coefficients?Constants who are in multiplication with variables are called coefficients of those variables.
When can we add or subtract terms of polynomial by their coefficient's addition or subtraction?Suppose we have
[tex]5x^2 + 6y[/tex]
Since those terms are not like terms, their coefficient won't be add and the expression we've got right now, is its simplest form and cannot be reduced more.
If we have, suppose,
[tex]4x + 5x^2 + 2x[/tex]
then we see that [tex]4x[/tex] and [tex]2x[/tex] are like terms, their coefficient can be added and thus, the simplified form would be
[tex](4+2)x + 5x^2 = 6x + 5x^2[/tex]
For the given case, the considered expression is simplified as:
[tex]= > (6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16)\\= 6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16\\ = 5x^3 - 4x^3 + 6x^2 + 2x^2 - 3 + 16\\= (5-4)x^3 + (6+2)x^2 + 13\\= 1.x^3 + 8x^2 + 13 \\= x^3 + 8x^2 + 13[/tex]
(variables with 1 as coefficient is not written explicitly as 1 is factor of all measurements).
Sign multiply by
[tex]-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]
where -ve, +ve are sign of operands and result.
Thus, the simplified form of the given expression is [tex]x^3 + 8x^2 + 13[/tex]
Learn more about simplification of expressions here:
https://brainly.com/question/26437497
solve for n 50 points
a=p(1+r/n)^rn
Answer:
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
Step-by-step explanation:
[tex]a=p(1+\frac{r}{n} )^{nt}[/tex]
[tex]\frac{a}{p} =(1+\frac{r}{n} )^{nt}[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )[/tex]
[tex]\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )[/tex]
[tex]n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }[/tex]
[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]
50 POINTS! HURRY! Look at the graph.
Which triangle is similar to triangle A?
Answer:
The 4th image you have
Step-by-step explanation:
It preserves angle measurements and each side it multiplied by 2
Answer:
C (see attached)
Step-by-step explanation:
Similar right triangles will have the same ratio of short side to long side as the original.
That ratio for the given triangle is ...
(3/2)/2 = 3/4
__
For the answer choices, (left-to-right) as supplied in this problem statement, the ratios are ...
a) 2/2 = 1 . . . . . both sides are the same length
b) 1/(3/2) = 2/3
c) 3/4 . . . . . this is the triangle you're looking for
d) 2/3
what is the circumference of a circular swimming pool with a diameter of 6 1/2 feet use 22 over 7 for pi
Answer:
20.428571
Step-by-step explanation:
C=(22/7)d
C=(22/7)6.5
C=20.428571
Answer:
20.4285714289
or ≈20.4
Step-by-step explanation:
2*pi*r
radius = diameter/2 = 6.5/2
r=3.25
22/7=3.1428571429
2*3.1428571429*3.25
Evaluate the expression below when x = -2.
x^2 − 8
x + 6
A.
-3
B.
-1
C.
1/2
D.
3/2
Answer:
-1
Step-by-step explanation:
(x^2 - 8) / ( x+6)
Let x = -2
(( -2)^2 -8)/ ( -2+6)
(4-8)/(-2+6)
-4/4
-1
Answer:
( -1 )
Step-by-step explanation:
Given that,
[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]
Also given that,
x = -2
So, to solve the above expression, you have to replace x with ( - 2 )
Let us solve.
[tex]\frac{(x^{2}-8) }{(x+6)}[/tex]
[tex]\frac{((-2^{2})-8) }{(-2+6)}[/tex]
[tex]\frac{4-8 }{(4)}[/tex]
[tex]\frac{-4 }{(4)}[/tex]
[tex]-1[/tex]
Hope this helps you :-)
Let me know if you have any other questions :-)
I need help anything can help idc honestly
Answer:
s=sqrt(60) => the second one is the correct answer.
Step-by-step explanation:
It’s given that A=60.
Formula: A=s^2.
=> s=sqrt(A)=sqrt(60)
Help me pleaseeeeeeeeeeeeeee
Answer:
WUJV
Step-by-step explanation:
============
hope this helps.
what is 5 less negative 6?
Answer:
Step-by-step explanation:
Answer:
[tex]5<-6=false[/tex]
Brainliest?!
Answer:
1
Step-by-step explanation:
PLEASE HELPP!!!URGENT!!!!!!
This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
x =
Answer:
2.25
Step-by-step explanation:
Because if you do 8/6 you get 1.33333333333 so you would need to do 3/1.33333333333 and you would get 2.25.
Answer:
x = 2.25
Step-by-step explanation:
Since this is simply a reduction of a figure, we can assume the ratio is constant. With this in mind, we can set up the following proportion to solve for x.
8 / 3 = 6 / x
8 * x / 3 = 6
8 * x = 6 * 3
x = 6 * 3 / 8
x = 18 / 8
x = 9 / 4 = 2.25
Cheers.
Please answer with clear instructions so that i can apply this to other questions.
Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
[tex]\frac{1}{2}[/tex] n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
I DONT GET THIS!!!!
QUESTION HERE : IN 140 CHARACTERS. OR LESS CREATE. A
TWEET. ABOUT WHAT INTELLIGENCEIS OR
MEANS TO YOU. THE GRID BELOW CAN BE USED TO MAKE SURE YOU DONT GO OVER 140 CHARACTERS.
Answer:
you just have to calm down and search it online it helps sometimes
Which is the graph of y = 3sin(x) - 1
Answer:
It should look like the graphs above.
Hope this helps!
The perimeter of the triangular park shown in the picture is 13x - 4. You have been given 2 of the 3
sides of the park. What is the missing side length?
Answer:
8x-3
Step-by-step explanation:
I hope it helps you
What is the result of 90.425 subtracted from 48.4?