Answer:
y = x³ +2x² -x -2
Step-by-step explanation:
A polynomial with root q has a factor (x -q). The factored form of the polynomial is ...
y = (x -1)(x +1)(x +2)
y = (x² -1)(x +2) . . . . . . partial simplification
y = x³ +2x² -x -2
Please help, super hard question for me!
Give two systems of equations, each containing two equations, that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.
I will give brainliest to best answer
AND DON’T ANSWER THEN DELETE FOR POINTS
Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
1. No, because a system of linear equations in two variables may have, zero, or infinietley solutions.
2. true because the answer of a system is the intersect, not where the lines cross a grid.
3.a. y=2x+4
y=3x+2
2x+4=3x+2
4-2=3x-2
2=x
b.y=2x+4
y=2*2+4=8
c. 2.2.5-2y=8
5-8=2y
=3=2y
-3/2=y
y=1.5
Step-by-step explanation:
answers for teh complete assigment
A cell phone company charges a 20$ flat fee plus $0.05 for every minute used for calls
Answer:
In both the cases, the given total amount is given as:
T = 10 + 0.05 m (when minutes talked m < 600)
T = 40 + 0.15 k (when minutes talked k > 600)
Step-by-step explanation:
What is m<6
A.80
B. 100
C.70
D.110
Step-by-step explanation:
to fully answer we would need to see at least one specific size (segment lengths, angle sizes).
but there is not one in the whole visible picture. so, everything just stays relative.
just be the presentation in the picture, angle 6 is larger than 90 degrees. so, B or D would be right.
if it helps you, it is clear that 6 = 1 = 9 = 14 = 180-2 = 180-5 = 180-10 = 180-13.
Calculate the slope of the following points. (0, 4) and (5, 9). Show all work.
Answer:
1
Step-by-step explanation:
Subtract the y values and put them in the numerator (top of fraction). 9-4=5.
Subtract the x values and put them in the denominator (bottom) 5-0=5.
Put the numbers in the fraction and simplify. 5/5 = 1.
The radius of a circle is 4.2 m. Find the circumference to the nearest tenth.
PLEASE HELP ASAP
Simple interest:
The length of time for £5000 to earn £1000 if invested at 10 percent per annum
Answer:
2 years
Step-by-step explanation:
1) principle:$5000
Rate : 10%
S.I = $1000
Therefore length of time =
S.I x 100 divided by Principle x rate
= 1000 x 100 divided by 5000 x 10
Answer= 2 years.
If correct please give brainliest
Stay safe and healthy
Thank You
Can someone plz help Me?
the answer to your question is B. A 5-minute reduction in the time to run a race
Answer: B
Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness
HAVE A WONDERFUL DAY!
What three consecutive numbers add up to 75?
Answer:
24,25,26
Step-by-step explanation:
Answer:24, 25, 26
Step-by-step explanation:
Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.
What is the solution of VX+ 12 = x?
O x=-3
O x = 4
O x= -3 or x = 4
O no solution
Answer: No solution
Step-by-step explanation:
VX+12-12=x-12
VX=x-12
VX/x=x/x-12/x= X≠0
Can someone help me understand this pls? (Provide an explanation)
Question:
Is triangle AFD congruent to triangle BEC?
Answer: is not congruent
To be congruent, it has to be same size and shape. It can face in any directions. Both the shapes have to be equal in all side lengths and equal angles.
Looking at the triangle you can understand that it is not congruent as the triangles have a size difference of being big and small. But if you still desire detailed explanation then here:
There is four rules for a triangle to be congruent. If one of these rule matches then you can say the triangle is congruent.
1. The three sides are equal
2. Two angles are the same and a corresponding side is the same
3. Two sides are equal and the angle between the two sides is equal
4. Two angles are equal and the side between them is equal
There are no angles, so find if all the three sides are equal. Even if one side is not equal, you can say it is not congruent. So if you just measure any side length of the smaller and big triangle, the length is not equal. None of the side lengths in either of the triangle is equal.
write 9^3 x 27^2 as a single power of 3
Answer:
3^12
Step-by-step explanation:
9³=(3²)³=3^6
27²=(3³)²=3^6
So together, it is 3^12
Answer:
3^12
Step-by-step explanation:
9^3 x 27^2
Rewrite 9 as 3^2 and 27 as 3^3
3^2^3 * 3^3^2
We know that a^b^c = a^(b*c)
3^(2*3) * 3^(3*2)
3^6 * 3^6
We know that a^b * a^c = a^(b+c)
3^(6+6)
3^12
simplify: 2x^2+15x-30
A= 2x^2
B= 15x
C= -30
(x-5)(x-6)
I dunno, its my question, just answering it for fun
will mark brainleist
Answer:
atoc40 /atob40/ctob20
i hope i help
Answer:
67
Step-by-step explanation:
angle c = angle b = 5x + 4
angle a = 46
A + B + C = 180
46 + 10x + 8 = 180
10x = 180 - 54
10x = 126
x = 12.6
5x + 4 = 12.6 x 5 + 4
= 67
PLZ HELP
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles?
Answer:
39
Step-by-step explanation:
There is a possibility that this triangle is isosceles. Angles in triangles add up to 180. 102-180=78. Since we are assuming this triangle is isosceles, we can just divide 78 by 2 and get 39 which might be the other two angles. They might both be 39 degrees.
Since triangle angles must add up to 180 degrees, the other angles must add up to 78 degrees. One possible pair could be if you divided 78 in half, which is 39. There could also be tons of more I can provide a list of below:
39,39
40,38
35,43
What is the value of x? Leave your answer in simplest radical form.
Answer:
sqrt 52
Step-by-step explanation:
use the pythagorean thereom
side a - 4
side b - 6
to find the hypotenuse, simply square both sides.
4² + 6²
4 x 4 = 16
6 x 6 = 36
add these two together
you should get 52.
After finding the combined side length, find the inverse operation of squared.
The inverse operation is the square root.
So find the square root of 52.
√52 = 7.21110255
round to the nearest tenth.
the answer should be 7.2
But to keep it in radical form the answer is sqrt 52
The value of x is 2√13.
Step-by-step explanation:With the help of Pythagoras theorem, we will find the value of x.
=> x² = 6² + 4²=> x² = 36 + 16=> x² = 52=> √x² = √52=> x = √52=> x = √2 x 26=> x = √2 x 2 x 13=> x = 2√13Conclusion:Therefore, the value of x is 2√13.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2
Answer:
• y = -6x-5
Step-by-step explanation:
Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
The angles formed by the angle bisector BF are ∠FBA and ∠FBC.
The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.
Reasons:
The steps to draw an angle bisector are;
Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E
Place the compass at point D and draw an interior arc to the given angle
Place the compass at point E and draw a second interior arc intersecting the previous arc
The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection
Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector
Learn more about an angle bisector here:
https://brainly.com/question/10130247
Answer:
Step three
Step-by-step explanation:
she placed the point on C when it was supposed to be on E
Is this triangle a right triangle? Explain.
Answer:
hmm
Step-by-step explanation:
I can't see any triangle there..a right angled triangle is meant to look like this
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarged left-brace 1st Row 1st column 300 t 125 , 2nd column 0 less-than-or-equal-to t less-than 2. 5 2nd Row 1st column 880, 2nd column 2. 5 less-than-or-equal-to t less-than-or-equal-to 3. 5 3rd Row 1st column 75 t 612. 5, 2nd column 3. 5 less-than t less-than-or-equal-to 6 EndLayout Which times and distances are represented by the function? Select three options. The starting distance, at 0 hours, is 300 miles. At 2 hours, the traveler is 725 miles from home. At 2. 5 hours, the traveler is 875 miles from home. At 3 hours, the distance is constant, at 880 miles. The total distance from home after 6 hours is 1,062. 5 miles.
The distance in given time t is determined by substituting the value of time and solving the equation.
At 2 hours, the traveler is 725 miles from home.
At 3 hours, the distance is constant, at 880 miles.
The total distance from home after 6 hours is 1,062.5 miles.
Given that,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 125
We have to determine,
Which times and distances are represented by the function?
According to the question,
The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.
D(t) = 300t + 1251. The starting distance at 0 hours is ;
At [tex]0 \leq t < 2.5[/tex]
Then,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]
The starting distance, at 0 hours, is 125 miles.
2. The distance at 2 hours is,
[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]
At 2 hours, the traveler is 725 miles from home.
3. The distance at t = 2.5 hours is,
At 2.5 ≤ t ≤ 3.5
D(2.5) = 880 miles (Fixed)
At 2.5 hours, the traveler is 880 miles from home.
4. The distance at t = 3 hours is,
2.5 ≤ t ≤ 2.5
D(3) = 880 miles
At 3 hours, the distance is constant, at 880 miles.
5. The distance at t = 6 hours is,
3.5 < t ≤ 6
[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]
The total distance from home after 6 hours is 1,062.5 miles.
For more details about Average distance refer to the link given below.
https://brainly.com/question/25969947
Which congruence criteria is met in the following scenario?
SAS
SSS
None, because SSA is not a triangle congruence criteria.
ASA
AAS
None, because SSA is not a triangle congruence theorem.
additive inverse of −9x+3
Answer:
(3x−4) −(x−5)
Step-by-step explanation:
Answer:
The additive inverse of −9x + 3 is 9x - 3Step-by-step explanation:
All we need to do is multiply −9x + 3 by -1.=> -1(−9x + 3)=> 9x - 3Therefore, the additive inverse of −9x+3 is 9x - 3.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
Joseph invests money in an account paying a simple interest of 2.9% per year. If he invests $60 and no money will be added or removed from the investment, how much will he have in one year, in dollars and cents?
Pls help peeps would be appreciated
Answer:
A.
Because it has it two sides equal
what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding
How do you write 750% as a fraction or mixed number
Answer:
750/100 or 7 1/2 whichever way u need
Step-by-step explanation:
At what point(s) does the parabola,
y
=
x
2
−
2
, intersect the line,
y
=
−
x
Answer:
Please check the formatting when posting. I'm assuming these are the equations:
y=x^2 - 2
y=−x
Step-by-step explanation:
We can either graph the equations or solve them. I use graphing - see the attachment. The lines intersect at (-2, 2) and (1,-1)
1. Graphing
See attached graph
(-2, 2) and (1,-1) are the intersection points
2. Solving
y=x^2 - 2 Use y=−x in this equation:
-x = x^2 - 2
0 = x^2 + x - 2
0 = (x+2)(x-1)
x = -2 and +1
(-2, 2) and (1,-1) are the intersection points
Find the perimeter of the figure below, in centimeters.
Answer
64.8
Step-by-step explanation:
brainliest pls
Answer:
64.8 cm.
Step-by-step explanation:
Add up the sides:
Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)
= 17.4 + 11 + 11 + 21.6 + 3.8
= 64.8 cm.
please help me asappp :D
ty :)
Answer:
5x + 8y = 24
Step-by-step explanation:
Multiply the equation 8
8 ( y = -5x/8 + 3 )
8y = -5x + 24
5x + 8y = 24
Which statement about f ( x ) = x 2 + 5 x − 84 is true?
Answer:
It is False
Step-by-step explanation:
Evaluate -1 - [-z] where z = -2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{-1 - [-z]}\\\\\huge\textsf{= -1 - [- -2]}\\\\\huge\textsf{= -1 - - 2}\\\\\huge\textsf{= -1 + (-2)}\\\\\huge\textsf{= -1 - 2}\\\\\huge\textsf{= -3}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
-3
Step-by-step explanation:
Evaluate - 1 - ( - z ) where z = -2
you can find this out because when there are two minuses by each other it equals a positive but then z = -2 so that adds another minus so it narrows it down to -1+-2 which equals 3