Please help.
I) Determine the remainder when f(x)= 2x³+bx²+2x+5 is divided by x+1.
If the remainder when f(x) is divided by (x-2) is equal to the remainder in I) calculate the value of b.
Answers
Here is the remainder for both. No the remainders are not equal.
Related Questions
Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank
Answers
Answer:
340 dimes and 232 quartersStep-by-step explanation:
Let the number of dimes be x and quarters be y.
Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 centsWe have equations:
x + y = 57210x + 25y = 9200Multiply the first equation by 10 and subtract from the second one:
10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232Find the value of x:
x + 232 = 572x = 572 - 232x = 340Convert -439° to radians
Answers
Answer:
-439° × π / 180°
= -2.4388888889π rad
= -7.6619954163 rad
Step-by-step explanation:
π rad = 180°
are 6y + 12 and 6 (y + 2) equal?
Answers
Two sides of a rhombus are represented by (3X-6)cm and (x+14)cm. Find the length of each side in the rhombus
Answers
Answer:
24 cm
Step-by-step explanation:
in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:
3x - 6 = x + 14
subtract x from both sides
2x - 6 = 14
add 6 to both sides
2x = 20
divide both sides by 2
x = 10.
to find the length of each side, plug this back into the original side length expressions:
3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm
the length is 24 cm.
3 pairs of $23.67 gloves. what is the unit price?
Answers
Answer:
7.89 dollars
Step-by-step explanation:
The unit price would be the price of one pair of gloves.
So divide the total cost by the number of pairs bought.
23.67/3= 7.89
what is the theoretical of flipping a coin and it lands on heads
Answers
Answer:
50/50
Step-by-step explanation:
Im not completly sure but when flipping a coin there is only two sides so theoretically if you are flipping a coin there is a 50/50 percent chance you will get heads
if p(q) = q^2 4q- 12 then what is p(-1)
Answers
(1): "q2" was replaced by "q^2".
Step by step solution :
STEP
1
:
Trying to factor by splitting the middle term
1.1 Factoring q2-4q-12
The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12
Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .
-12 + 1 = -11
-6 + 2 = -4 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12
Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization
Equation at the end of step
1
:
(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : q+2 = 0
Subtract 2 from both sides of the equation :
q = -2
Solving a Single Variable Equation:
2.3 Solve : q-6 = 0
Add 6 to both sides of the equation :
q = 6
Supplement : Solving Quadratic Equation Directly
Solving q2-4q-12 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = q2-4q-12
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Aq2+Bq+C,the q -coordinate of the vertex is given by -B/(2A) . In our case the q coordinate is 2.0000
Plugging into the parabola formula 2.0000 for q we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 12.0
or y = -16.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = q2-4q-12
Axis of Symmetry (dashed) {q}={ 2.00}
Vertex at {q,y} = { 2.00,-16.00}
q -Intercepts (Roots) :
Root 1 at {q,y} = {-2.00, 0.00}
Root 2 at {q,y} = { 6.00, 0.00}
What is the degree of polynomial?
With example!
Answers
Answer:
[tex]\boxed{\mathfrak{Question ~}}[/tex]
What is the degree of polynomial?
[tex]\large\boxed{\mathfrak{Answer}}[/tex]
The degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients.
Example:
[tex] {6x}^{4} + {2x}^{3} + 3[/tex]
4x The Degree is 1 (a variable without an
exponent actually has an exponent of 1)
More Examples:
4x^ − x + 3 The Degree is 3 (largest exponent of x)
x^2 + 2x^5 − x The Degree is 5 (largest exponent of x)
z^2 − z + 3 The Degree is 2 (largest exponent of z)
A constant polynomials (P(x) = c) has no variables. Since there is no exponent to a variable, therefore the degree is 0.
3 is a polynomial of degree 0.
Answer:
The degree of a monomial is the sum of the exponents of all its variables.
Example 1:
The degree of the monomial [tex]7y {}^{3} {z}^{2} [/tex] is 5(=3+2)5(=3+2) .
Example 2:
The degree of the monomial 7x is 11 (since the power of x is 11 ).
Example 3:
The degree of the monomial 66 is 0 (constants have degree 0 ).
The degree of a polynomial is the greatest of the degrees of its terms (after it has been simplified.)
-16+5w=-1
solve for w
Answers
Answer:
w=3
Step-by-step explanation:
-16+5w=-1 . add 16 to both sides
5w=15 . divide both sides by 5
w=3
5w= -1 + 16
5w = 15
5 x 5 x 5 = 15
Grocery Store A is selling bananas for $0.75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3.75.
Which store is offering the best unit rate? Show your work.
Answers
Step-by-step explanation:
3.75/5=0.75
75 cents per banana for B
0.75/12=0.0625
0.0625 per banana for A
grocery a has the best and lowest unit price.
HELP ME PLEASE GUYS! :)
Answers
First rearrange
5x-8y=-29
5x+29=8y
5/8x+29/8=y
Then sub in your x values
Step-by-step explanation:
5x-8y=-29
5(6)-8(5)
30-40
=-10
no
5(-9)-8(-2)
=-45+16
=-29
yes
5(-3)-8(1)
-15-8
=-23
no
5(0)-8(-4)
=0+32
=32
no
If it is given that log2 a= 5 , write the value of a as a power of 2
Answers
In other words, write it in exponential form.
To write a as a power of 2, your log form should be written this way: log_2 (5) = a.
We can then then write it in exponential form showing a as a power of 2.
Here it is:
2^(a) = 5
PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answers
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
Find the inverse function.
f(x) = -3x +1/2
f-1(x) =
Answers
Answer:
f^-1(x)= -x/3 +1/6
Step-by-step explanation:
So its negative x over 3, plus, 1 over 6
The high temperature is 15.7°F one day. That night, the temperature falls to −18.4°F. What is the change in temperature for the day?
Answers
Answer:
34.1°f
Step-by-step explanation:
just add 18.4 degrees and then that will get you to 0 and add 15.7 which will get you to the temperature in the day
The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the
image reflected across the y-axis?
A. P’(8,-5), Q'(-5, -8), and R'(-4,-3)
B. P'(-8,5), Q'(5,8), and R'(4,3)
C. P'(8,5), Q'(-5,8), and R'(-4,3)
D. P'(-8,-5), Q'(5, -8), and R'(4, -3)
Answers
Answer:
A
Step-by-step explanation:
Hi
What is the value of this expression? 4/15+3/5−2/3 Quick
Answers
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
WILL MARK BRAINLIST PLS ANSWER ITS VERY IMPORTANT
Answers
Answer:
Step-by-step explanation:
a) 4th
b) 300
c) 2nd and 5th
Given the scatter plot below, write the equation for the line of best
fit in slope-intercept form.
Answers
Answer:
y = 5x + 6
Step-by-step explanation:
lmk if you want an explanation
In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)
Answers
It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.
The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.
The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.
Lastly, the conclusion restates the thesis and then summarizes the arguments made.
Learn more about essays on:
https://brainly.com/question/24799048
Answer:
You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.
MARK ME BRAINLIST
A scale drawing of a house shows a closet with floor dimensions of 4.4 cm by 3.2cm. The scale from the drawing to the actual closet is 2cm for every 1m. WhT is the actual area of the closets floor
Answers
The actual area of the closet floor is 3.52m.
What is a rectangle?A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.
It has different lengths and widths.
We have,
Closet dimensions:
Length = 4.4 cm
Width = 3.2 cm
We need to convert the unit cm into meters.
We are given that,
2cm = 1m
Multiply 4.4/2 on both sides
4.4 cm = 4.4/2 x 1m
4.4 cm = 2.2 m
Length = 2.2m
Multiply 3.2/2 on both sides.
3.2 cm = 3.2/2 x 1m
3.2 cm = 1.6 m
Width = 1.6m
The actual area of the closet:
= length x width
= 2.2m x 1.6m
= 3.52m
Thus the actual area of the closet floor is 3.52m.
Learn more about rectangles here:
https://brainly.com/question/12019874
#SPJ5
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!
Answers
Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say
1 = 400 meters / 1 lap.
This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):
8 laps * 1 = 8 laps * 400 meters / 1 lap
Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:
8 laps = 3200 meters
Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?
Answers
Answer:
26%
Step-by-step explanation:
Well, we need to find what percent 3.25 is of 12.50.
12.50*x=3.25
3.25/12.50=.26
26% is saved.
solve: 3(2x+7) S 6(x-4)
Answers
Answer:
no solution
Step-by-step explanation:
3(2x + 7) ≤ 6(x - 4) ← divide both sides by 3
2x + 7 ≤ 2(x - 4)
2x + 7 ≤ 2x - 8 ( subtract 2x from both sides )
7 ≤ - 8 ← False statement
This means the inequality has no solution
If you were to pour marbles into a cup of water, you would make a __________.
A. heterogeneous
B. homogeneous
Answers
Answer:
heterogeneous is the answer
To make his energy drink, Jerome used 8 cups of water and 3 cups of drink mix. What is the ratio of water to drink mix?
Answers
Answer:
I believe the answer is 3:11.
my Christmas present to you
Answers
Answer:
TY
Step-by-step explanation:
Guys, I don't understand this problem, there is a screenshot below. Take a look, I will give you 10 points!
Answers
Answer:
<1 and <2 are remote interior angles of <6
<2 and <3 are remote interior angles of <4
what is the slope of the line?
Answers
Answer:
5/3
Step-by-step explanation:
Use rise over run
it goes up five and goes right three.
If it were to go to the left it would be negative
Same rules apply if it were to go down it would be negative
add 17 divied by 20 + 7 dived by 20 help
Answers
Answer:
1.2
Step-by-step explanation:
17 ÷ 20 + 7 ÷ 20
I hope this helps!
