Answers
Answer:
x = - 3, x = - 2, x = 0
Step-by-step explanation:
Given
x³ + 5x² + 6x ← factor out x from each term
= x(x² + 5x +6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 2 and + 3 , since
2 × 3 = + 6 and 2 + 3 = + 5 , thus
x² + 5x + 6 = (x + 2)(x + 3) , and
f(x) = x³ + 5x² + 6x = x(x + 2)(x + 3)
To find the zeros equate f(x) to zero, that is
x(x + 2)(x + 3) = 0
Equate each factor to zero and solve for x
x = 0
x + 2 = 0 ⇒ x = - 2
x + 3 = 0 ⇒ x = - 3
Zeros from least to greatest are x = - 3, x = - 2, x = 0
Related Questions
Write an equation in y = mx + b given the slope of 2 and goes through the point (4, 9).
Answers
Answer:
slope=2 ie m=2
y=2x+b
and to solve b, we put in 4 and 9 into the equation
9=2*4+b, so b=9-8=1
hence y=2x+1
Step-by-step explanation:
Answer:
Student your question is not too clear, please complete the question
Which equation matches the story: Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
3(x+5)=17
3x+5=17
5(x+3)=17
5x+3=17
Answers
Answer:
$2.80
Step-by-step explanation:
17-3=14
14 divided by 5=
2.8
Add 0 since it's about money.
$2.80
(y - 6) = -4(x + 3) in slope intercept form
Answers
Answer:
y=-4x-6
Step-by-step explanation:
use the formula y=mx+b
oh btw i just posted a question so please maybe help with it???
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y - 6 = - 4(x + 3)[/tex]
[tex]y - 6 = - 4x - 12[/tex]
Add sides 6
[tex]y - 6 + 6 = - 4x - 12 + 6[/tex]
[tex]y = - 4x - 6[/tex]
This is the slope-intercept form.
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Wesley subscribes to a telecommunication company’s movie package.The plan includes a basic monthly charge of $40 and an additional charge of $1.50 for every movie ordered. 2a) Write an equation for the total charge for a month, C, in terms of the number of movies, m, Wesley orders per month. This is a required question 2b) If Wesley ordered 4 movies one month, what was his total charge for the month?
Answers
Answer:
46
Step-by-step explanation:
So, the plan
monthly =40 + 1.50x
and he orders 4 movies in a month your problem to solve now looks like this
1 month = 40+1.50x4
Then, 1 month= 40 + 6
1 month= 46
Find the values of x and y by writing two equations and solving the system of equations.
Answers
Answer:
y=2 x=5
Step-by-step explanation:
3x-2y=11
2x-3y=4
you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3
6x-4y=22
+ -6x-9y=12
--------------------------
0x+5y=10
y=2
you plug that in either equation
3x-2(2)=11
3x-4=11
3x=15
x=5
Simplify.
Look at the picture
Answers
Answer:
1397.970007
Step-by-step explanation:
Which of the following is equivalent to 7a^4+3a^4
Answers
2,401a+81a
is equivalent
Answer:
Step-by-step explanation:
7a^4 + 3a^4 is 10a^4
Eukaryotes have a nucleus, and prokaryotes have a nucleoid. (4 points) True False
Answers
Answer:
false
Step-by-step explanation:
prokaryotes dont have any nucleous or nuclieiod
Answer:
TRUE
Step-by-step explanation: Prokaryotic cells dont have a nucleus that contains their genetic material as eukaryotic cells do, instead they have a nucleoid region, which is an irregular-shaped region that contains the cell’s DNA.
can anyone help i will give brainlist!! also you have to solve the equations using elimination
Answers
Step-by-step explanation:
5x+2y=29
5x-2y=41
add the equations
10x=70
divide both sides by ten
x=7
substitute 7 in the first equation
5(7)+2y=29
simplify
35+2y=29
subtract 35 from both sides
2y=-6
simplify
y=-3 x=7
3x+2y=9
5x+2y=12
subtract the equations
-2x=-3
simplify
x=1.5
substitute
3(1.5)+2y=9
simplify
4.5+2y=9
subtract 4.5 from both sides
2y=4.5
simplify
y=2.25 x=1.5
5x+2y=-9
2x-3y=4
multiply first equation by three and second by two
15x+6y=-27
4x-6y=8
add equations
19x=-19
simplify
x=-1
substitute
15(-1)+6y=-27
simplify
-15+6y=-27
add 15 to both sides
6y=-12
simplify
y=-2 x=-1
-5x + y = -3 and –x - 5y = - 11 by substitution
Answers
Answer:
x = 1, y = 2
Step-by-step explanation:
-5x + y = -3, we get y = 5x - 3.
Then plugs into the second equation, we get
-x - 5 (5x-3) = -11.
-x - 25x + 15 = -11,
-26x = -26
x = 1,
plugs x = 1 to y = 5x - 3, we get y = 2.
Answer:
Required Answer:--5x+y=-3---------------(1)-x-5y=-11----------------(2)From eq (1)
[tex]{:}\longrightarrow[/tex][tex]\sf -5x+y=-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=-3+5x [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3\dots\dots (3) [/tex]
Substitute the value in eq (2)[tex]{:}\longrightarrow[/tex][tex]\sf -x-5 (5x-3)=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -x-25x+15=-11 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-11-15 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf -26x=-26 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {-26}{-26}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=1[/tex]
Substitute the value in eq (3)[tex]{:}\longrightarrow[/tex][tex]\sf y=5x-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y =5 (1)-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=5-3 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf y=2 [/tex]
[tex]\therefore[/tex](x,y)=(1,2)
Here's a fun question:
Pewdiepie has 4 heart attacks from G-fuel in October and 6 heart attacks from G-fuel in November. How many heart attacks did Pewdiepie have in total?
Answers
Answer:
10. I feel bad for him.
Step-by-step explanation:
solve the equation pls and ty
Answers
Answer: No real solutions.
3. Which property of multiplication is shown by the equation
14.y.1 = 14y?
A. Associative
C. Commutative
B. Distributive
D. Identity
Answers
Answer:
identity
Step-by-step explanation:
it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.
Answer:
identity
Step-by-step explanation:
How do I solve 8x+5y=-20 ?
Answers
Answer: y=-8/5x-4
Step-by-step explanation:
8x+5y=-20
-8x -8x
5y=-8x-20
/5 /5
y=-8/5x-4
The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?
Answers
Answer:
-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
3(x + 7)
plz heeelp
who ever helps gets 5 points
Answers
Answer:
3x + 21
Step-by-step explanation:
3(x+7)
3 * x + 3 * 7
3x + 21
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
3x + 21
Step-by-step explanation:
3(x + 7)
3(x + 21)
3x + 21
Solving equations with like terms -8 -3y + 2y =32
Answers
Answer:
y= -40
Step-by-step explanation:
HELPPPPPPPPP ASAPPP!!!!!!!!
Answers
Answer:
A is correct
3.75x 1^5 is also written as 375000
Divide 375000 by 75 and u get 5, 000
5 times 10^3 is also 5000
therefore A is correct
Step-by-step explanation:
Answer:
5000 or A. 5 x [tex]10^{3}[/tex]
Step-by-step explanation:
3.75 x [tex]10^{5}[/tex] = 375000
375000/75 = 5000
What type of correlation is the graph below?
a
No correlation
b
Negative
c
Quadratic correlation
d
Positive
Answers
Answer:
C I think
Step-by-step explanation:
What are the slope and the y-intercept of the line that represents plant A's height in inches in terms of the number of weeks? (Hint: The formula
for slope is slope = rise/run, and the y-intercept is the y-coordinate when x = 0.)
Answers
Answer:
Plant A is y=2x+6
Step-by-step explanation:
Slope: 2
Y-intercept: 6
Which expression is equivalent to (x^2/3)^3/2?
Answers
Answer:
x
Step-by-step explanation:
[tex] \frac{2}{ x3} \times \frac{3}{2} \\ \frac{1}{3} \times 3 \\ \frac{1}{ x3 } \times 3 \\ {x}^{1} \\ x[/tex]
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram.
Angles Segments Triangles Statements Reasons
ZBCA
DAC
A
Statements
Reasons
00
D
с
Assemble the proof by dragging tiles to
the Statements and Reasons columns.
Answers
Answer:
AD ≅ BC | Given
AD ║ BC | Given
AC ≅ AC | Reflexive Property
∠DAC ≅ ∠ACB | If 2 || lines are cut by a trans., the | alternate interior ∠s are congruent.
ΔADC ≅ ΔBCA | S.A.S Postulate
BA ≅ DC | Corresponding sides of congruent Δs
So, quad. ABCD is a ║gm | If a quad. has its opposite sides
| congruent, the quad. is a parallelogram.
Step-by-step explanation:
Step-by-step explanation:
Sorry I'm late I hope that helps:)
Will mark brainlist if the correct answer.
Simplify 6√-20
Answers
Answer:
12i √5
Step-by-step explanation:
12i √5 is the answer. You have a negative square root so the answer must have the i, for imaginary number, in it.
Answer:
The correct answer is 26.8328157
Step-by-step explanation:
All you have to do to get this answer is you have to...
Let sqrt (x) - sqrt(y) be the square root.
6 - sqrt(20) = x + y - 2 * sqrt(xy)
So x+y = 6. And x * y = 5.
Clearly x = 5 and y = 1, as we want positive square root.
Answer = sqrt 26.8328157
help asap! ill give the best to person who explains it clearly
Answers
Answer:
The answer is D.
Step-by-step explanation:
First, you have to find the area of circle using the formula :
A = π × r²
A = π × 3²
A = 9π
Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :
A = (θ/360) × π × r²
A = (60/360) × π × 3²
A = 1.5π
Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :
A = (9π × 2) - (1.5π × 2)
A = 18π - 3π
A = 15π
Write a quadratic function whose graph has the given characteristics.
x-intercepts: (4, –1)
point: (1, –2)
Answers
Answer:
here you go
Step-by-step explanation:
Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.
Answers
Answer:
20x^2 - 107x - 10.
Step-by-step explanation:
8x - 108x - 10 - (9x^2 + 7x -29x^2)
simplifying:
-100x - 10 - (7x - 20x^2)
20x^2-100x - 7x - 10
20x^2 - 107x - 10
Answer:
−9x
2
+x−8
Step-by-step explanation:
To find the inverse of f(x) = 2x – 1, Patel begins by replacing f(x) with y. He then switches x and y. What is the next step?
A.Solve the equation for x.
B.Subtract 1 from both sides of the equation.
C.Solve the equation for y.
D.Replace y with f–1(x).
it a
Answers
Answer:
Step-by-step explanation:
C. Solve for y
A 40-degree angle is translated 5 inches along a vector
Answers
Answer :need the options you choose frome
Step-by-step explanation:
I really need help!!!
if f(x)=x^2+4x-5, find f(-4)
Answers
Answer:
−5
Step-by-step explanation:
By substituting the value of x in f(x) with -4,
(-4)^2+4(-4)-5
=16+(−16)−5
=0−5
=-5
Your welcome :D
Choose the slope and y-intercept that
correspond with the graph.
Answers
y-intercept: 4