Answer:
a = 2
b = 0
c = 3
Step-by-step explanation:
if I understand correctly the problem should look like
2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)
let's calculate the right side
ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c
as there is only one term of x⁴, we know a = 2
as there is only one term without any x, we know c = 3
now we get
2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3
remember, that is equal to
2x⁴ + 2x³ + 5x² + 3x + 3
after subtracting 2x⁴ and 3 from both sides we get
2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x
we subtract 2x³ and 3x from both sides and get
5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx
we subtract 5x² from both sides and get
0 = bx³ + bx² + bx
=> b must be 0 to make this true for all values of x
Please help !!!!!!!!
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty
Answer:
263
Step-by-step explanation:
424+339=764
1000-764=236
A proportional relationship is shown in the table below: what is the slope and what numbers do i graph. ty besties
Answer:
The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].
Step-by-step explanation:
From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:
[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)
Where:
[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.
[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.
If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:
[tex]m = \frac{4.8-0}{8-0}[/tex]
[tex]m = \frac{3}{5}[/tex]
From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.
Will give brainliest if correct!!
Answer:
The smallest increment is 10 V and the uncertainty is 5 V.
which expressions have value between 1 and 2? choose all that apply.
Answer:
its the first, 3rd, and 5th option
Step-by-step explanation:
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answer:
2:45
Step-by-step explanation:
2:45
hi can somebody plz help me
Answer:Its the last one to the left up
Step-by-step explanation:
answer choices:
a. 66
b. 53
c. 87
d. 73
pls help me ill give brainliest and no links pls ty!:)
Given : GH bisects ∠FGI
It means : ∠FGH and ∠HGI are equal
Given :
∠FGH = (5x - 8)°
∠HGI = (6x - 15)°
⇒ 5x - 8 = 6x - 15
⇒ 6x - 5x = 15 - 8
⇒ x = 7°
Substituting the value of x, We get :
∠FGH = 5(7) - 8 = (35 - 8) = 27°
∠HGI = 6(7) - 15 = (42 - 15) = 27°
∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°
6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
A shirt originally $38.00 is on sale for 25% off. What is the discounted price?
Step-by-step explanation:
$ 28.50
minus $ 0.00
FINAL Price » $ 28.50
Note: Sales Tax Not Included
Savings » $ 9.50
Effective % Off » 25%
Answer:
$28.5
Step-by-step explanation:
100% - 25% = 75% (so you don't have to add or subtract anything)
38 * .75 = 28.5
=$28.5
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
Find the area of the polygon . :)
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
In right triangle ABC, sin M = cos 61. If 0
Note: Consider we need to find the value of M if [tex]0^\circ<M<90^\circ[/tex]
Given:
In a right triangle ABC,
[tex]\sin M=\cos 61^\circ[/tex]
To find:
The value of M.
Solution:
We have,
[tex]\sin M=\cos 61^\circ[/tex]
It can be rewritten as:
[tex]\sin M=\cos (90^\circ-29)^\circ[/tex]
[tex]\sin M=\sin 29^\circ[/tex] [tex][\because \sin (90^\circ-\theta)=\sin \theta][/tex]
On comparing both sides, we get
[tex]M=29^\circ[/tex]
Therefore, the value of M is 29 degrees.
can someone help me please with solution
The graph compares the scores earned by 100 students on a pre-test and a post-test.
Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.
About how many more students scored greater than 30% on the post-test than on the pre-test?
15
Answer:
25 more studentsStep-by-step explanation:
30% mark represents:
50% on pre-test and 25% on post test.So
50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.The difference is:
75 - 50 = 25 studentsAnswer:
25 students
Step-by-step explanation:
The LCM of three numbers is 360 and the GCD of the same numbers is 2.If one of the numbers is 40.Find the other 2 numbers
Answer
“The LCM of three numbers is 360“ The prime factors of 360 are 2³×3²×5¹. That means:
At least one of the numbers contains 2³ in its factorization list.
At least one of the numbers contains 3² in its factorization list.
At least one of the numbers contains 5 in its factorization list.
“One of the numbers is 40“ The factorization list of 40 is 2³×5, so 1) and 3) are satisfied.
“The GCD of the same numbers is 2“ This implies that all 3 numbers are even, and that at least one number only has one 2.
The candidates for the 2nd number, that has 3², are: 18, 12, 72 (3²×2³), 120, 180, or 360.
The candidates for the 3rd number depends on how many 2s the 2nd number has.
If more than one: 2, 6, 18, 10, 30, 90
If only 1, those plus 4, 8, 12, 36, 72, 20, 40, 120, 180, 360
Thank you everyone for helping me this year to get good grades I am giving points.
What do you get when you subtract-3xy from 5xy
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
Which statement has the same information that is given for the proof below
Answer:
D. TU is a midsegment
Step-by-step explanation:
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answer:
4 miles apart. the answer this question.
10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft
How do I do this trigonometry problem? or where do I even start.
Answer:
∅=6
Step-by-step explanation:
let ∅=x
[tex]\csc(3x+15)=\frac{1}{\sin(3x+15)}\\\sin(5x+3)*(\frac{1}{\sin(3x+15)})\\\frac{\sin(5x+3)}{\sin(3x+15)}=1\\\sin(5x+3)=\sin(3x+15)\\5x+3=3x+15\\2x=12\\x=6[/tex]
Please help me
The question is at what rate did rain fall
Answer:
4 cm per hour that's the answer
X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this
Step-by-step explanation:
Y=x
Y=x+2
Plot graph but not up to scale just for u to understand
How is this one done?
Determine whether the equation is a linear equation. If so, write the equation in standard form.
a) y = 2x – 3
b) + =
c) 4x = 2y
Step-by-step explanation:
The general form of a linear equation is given by :
y = mx +b
Where
m is the slope
b is the y-intercept
(a) y = 2x - 3
It is in the form of a linear equation.
Standard form, y =2x+(-3)
(b) The equation is 4x = 2y
or
2y = 4x
y = 2x + 0
It is in the form of a linear equation with slope of 2 and y-intercept of 0.
