Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?
Answers
[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]
[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]
Here, the common solution is -2.
Answer:
x = -2.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Related Questions
What is 87 x (495 - 475) + 1084 - 864
Answers
Answer:
1960
Step-by-step explanation:
First, carry out the operation inside the parentheses: 495-475= 20. Next, follow the order of operations and do 87*20= 1740. Then, go from left to right, adding 1740 + 1084= 2824. Now, subtract all of that by 864. 2824-864= 1960.
It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?
Answers
Answer:
Part A. 4x
Part B. Mr. Jefferson could ride 3 miles in 12 minutes
Step-by-step explanation:
Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.
Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.
__________________________________________________________
Hope this helps!!!
If I am incorrect, please tell me; I enjoy learning form my mistakes:)
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answers
Answer:
Option A, - 6
Step-by-step explanation:
The zero of a function is the value on the x-axis when y is 0
Answer:
the answer is -9
Step-by-step explanation:
the answer is -9 becaise
Question
Water is added or drained from a tank each day. The first day, 910 of a gallon is added to the empty tank. The second day, 710 of a gallon is drained from the tank. The third day, 810 of a gallon is added to the tank. The fourth day, 610 of a gallon is drained from the tank. The amount of water in the tank after 15 days is given by
910+(−710)+810+(−610)+⋯+310+(−110)+210.
How much water is in the tank after 15 days? Write your answer as a decimal.
Answers
Answer:
ililil
Step-by-step explanation:
P = x y . Find P when: x = 8 and y = − 11
Answers
Answer:
P= -88
Step-by-step explanation:
Since P=xy (Or x times y)
We can solve it since we know that x and y is: 8 and -11
So 8 times -11
Which is -88
Thus P= -88
Hope this helps!
The cost of 2.25
pounds of grapes is
$6.75. The cost of 5
pounds of grapes is
$15. Find the slope in
dollars per pound.
Answers
Answer:
Hope this helps! <3
Step-by-step explanation:
The slope or increase in cost per pound is 3. (1 pound of grapes costs $3)
in what step did audrey make her mistake in
Answers
Answer:
step A
Step-by-step explanation:
she should have added x to both sides.
Answer:
-x+6=5x+30
6=6x+30
6x=-24
x=4
if you want to get rid of the -x you have to add x not take away x
Hope This Helps!!!
Don’t answer just for points please !! I really need help~
Answers
This is going to take a while: get ready...
I like two-columns, so...
Statements_______________|_____Reasons___
l||m Given
angle 1 congruent angle 7 Given
angle 3 congruent angle 5 corresponding alternate angles
a||b CPCTC
I usually do proofs for triangles, not parallel lines, but I hope this helped!
A man left 1⁄2 of his property to his wife 1/3 of the remainder to his eldest
son and the rest to be divided equally among his five younger children,
each of whom got p60,000. How much did his wife get?
Answers
Answer: p800,000
Step-by-step explanation:
1/2 to wife
1/3 to eldest son, and
Rest(x) to 5 youngest children
(1/2) + (1/3) + x = 1 [The sum of the shares will equal 1 estate]
(3/6) + (2/6) + x = 1
(5/6) + x = 1
x = (1/6); to be divided among the 5 youngest children
We find that each young child receives p60,000. That group of five received 5*(60,000) = p300,000, which represents (1/6) of the total estate (Estate).
We can write: (1/6)*(Estate) = p300,000
Estate = p1,800,000
The wife hauled in 1/2 of this, so she received p800,000.
7/11 x 7/15 x 3 multiply and write your answer as a fraction in the simplest form.
Answers
Answer: 49/55
7/11 x 7/15 x 3
49/165 * 3
147/165
49/55
Change one digit from the number 238882 so that it is divisible by 3 not not divisible by 2
Answers
Answer:
238882 -> 238881
Step-by-step explanation:
To make it not divisable by 2, you have to change the rightmost digit.
Simply divide the number by 3, round it, then multiply it by 3 again.
Identify the horizontal asymptote of f(x) = 4 x over 7. Y = 0 y = 4 over 7 y = 7 over 4 No horizontal asymptote.
Answers
The horizontal asymptote of the function [tex]g(x) = \frac{4x}{7}[/tex] is 4
Given the function, [tex]g(x) = \frac{4x}{7}[/tex], the horizontal asymptote is the coefficient of the variable of the function at the numerator.
From the given function, the expression at the numerator is 4x.
h(x) = 4xFor instance, if we have a function y = ax, the variables of the function are x and y and the coefficient is "a"Similarly for the expression h(x) = 4x, the coefficient of the expression is 4
Learn more on horizontal asymptote here: https://brainly.com/question/21678319
Answer: C
Step-by-step explanation: because if you use substutuion you get it from proccess of elimaniation
1. x^2 + 6x + 8 = 0
2. x^2 + 10x + 21 + 0
3. X^2 + 9x + 18 = 0
Answers
Answer:
545256
Step-by-step explanation:
The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The total cost for 5 people to enter the amusement park and each rent a locker is $180.How much does it cost for one person to rent a locker
Answers
Answer: 1040
Step-by-step explanation: 180+28=208
208 times 5 = 1040
A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.
Answers
The cost to employ the contractors is $11250
The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.
Moreover, to determine the cost to employ the contractors, we need to determine their total wage:
Contractor A: $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM, 3 Xerox, and 2 Canon machines.Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.Now, for all the machines to be repaired you will need to pay a total of $9000
$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).Finally, let's find out the cost using the minimum rate.
$9000 x 1.25 = $11,250
Learn more about general cost in: https://brainly.com/question/3902215
Answer:
$8800
Step-by-step explanation:
Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by
C(x,y)=800x+1000y
The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.
2x+y≥12
The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.
x+3y≥18
The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.
2x+2y≥20
The fact that x and y must be positive numbers is represented by the following two constraints:
x≥0,y≥0
Using all of this information, our problem is as follows.
Minimize: C(x,y)=800x+1000y
Subject to: 2x+y≥12
x+3y≥18
2x+2y≥20
x≥0
y≥0
The corner points are:
(0,12),(18,0),(2,8),(6,4)
The point (6,4) gives lowest cost: $8800
Visualise the representation of 5.37(Bar over 7).
Using number line.
Answers
[tex] \: \: \: [/tex]
[tex] \pink{ 5.37}[/tex]
To visualize 5.37 more accurately, divide line segment between 5.37 and 5.38 in ten equal parts. 5.37 lies between 5.377 and 5.378.Again use divide above portion between 5.377 and 5.378 into 10 equal parts, which shows 5.37 is located closer to 5.3778 than to 5.3777 so we can get the answerhope it helpsPlease answer fast this is due soon
Answers
Step-by-step explanation:
multiply the first equation by 1, the second by -1 and add.
x + 2y = -16
-x - 6y = 28
--------------------
0 - 4y = 12
-4y = 12
y = -3
x + 2×-3 = -16
x - 6 = -16
x = -10
X=-2y,x-y=6 solve by substitution show all work
Answers
Answer:
y=-3
x=3
Step-by-step explanation:
x=-2y
x-y=9
substitute -2y for x in the second equation
you get:
-2y-y=9
combine like terms
-3y=9
divide by -3 on both sides
y=-3
Solve for r.
√2/3r + 1 = 23
Answers
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{\sqrt{2} }{3}[/tex] r + 1 = 23 ( subtract 1 from both sides )
[tex]\frac{\sqrt{2} }{3}[/tex] r = 22 ( multiply both sides by 3 to clear the fraction )
[tex]\sqrt{2}[/tex] r = 66 ( divide both sides by [tex]\sqrt{2}[/tex] )
r = [tex]\frac{66}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] ( rationalising the denominator )
r = [tex]\frac{66\sqrt{2} }{2}[/tex] = 33[tex]\sqrt{2}[/tex]
Answer:
B) r=33*sqrt(2)
Step-by-step explanation:
sqrt(2)/3r+1=23
sqrt(2)/3r=23-1
sqrt(2)/3r=22
sqrt(2)r=22*3
sqrt(2)r=66
r=66/sqrt(2)
r=66*sqrt(2)/(sqrt(2)*sqrt(2))
r=(66*sqrt(2)/2
r=33*sqrt(2)
HELP! Rechal can play 8 instruments and Sarina can play 1/4 LESS than that. How many instruments can Sarina play?
Answers
8*1/4=2
sarina can play 2 instruments
Answer:
2
Step-by-step explanation:
8 divided by 4 is 2
1/4 of 8 is 2
7-3x=2x-8, How do you solved for x?
Answers
Answer:
x = 3
Step-by-step explanation:
7- 3x = 2x - 8
7 = 5x - 8 Add 3x on both sides
15 = 5x Add 8 on both sides
3 = x Divide both sides by 5
HELP!! Scaler multiplication of vectors in component form
Answers
Answers:
<-6,8> <-3,3> <12,12> <21,4> <18,22> <17,30> <-36,-38> <16,20>===========================================================
Work Shown:
Problem 1
u = <-3,4>
2u = 2*<-3,4>
2u = <2(-3), 2(4)>
2u = <-6,8>
Effectively, we multiplied each coordinate by 2.
-----------------
Problem 2
g = <-1,1>
3g = 3*<-1,1>
3g = <3(-1),3(1)>
3g = <-3,3>
Same idea as problem 1, but we tripled each coordinate.
-----------------
Problem 3
z = <-3,-3>
-4z = -4*<-3,-3>
-4z = <-4(-3),-4(-3)>
-4z = <12,12>
-----------------
Problem 4
v = <6,8>
2v = <12,16> .... double both coordinates
u = <-3,4>
3u = <-9,12> .... triple both coordinates
2v-3u = <12,16>-<-9,12>
2v-3u = <12-(-9),16-12>
2v-3u = <12+9,16-12>
2v-3u = <21,4>
I subtracted the corresponding coordinates.
The general rule is <a,b>-<c,d> = <a-c,b-d>
-----------------
Problem 5
y = <1,1>
6y = <6,6> .... multiply each coordinate by 6
v = <6,8>
2v = <12,16>
6y+2v = <6,6>+<12,16> = <6+12,6+16> = <18,22>
This time we add the corresponding coordinates after scaling up the given vectors.
The general rule is <a,b>+<c,d> = <a+c,b+d>
-----------------
Problem 6
u = <-3,4>
v = <6,8>
3v = <18,24>
y = <1,1>
2y = <2,2>
u+3v+2y = <-3,4>+<18,24>+<2,2>
u+3v+2y = <-3+18+2,4+24+2>
u+3v+2y = <17,30>
-----------------
Problem 7
g = <-1,1>
4g = <-4,4>
y = <1,1>
A = 4g+y = <-4,4>+<1,1> = <-4+1,4+1> = <-3,5>
z = <-3,-3>
v = <6,8>
5v = <30,40>
B = z-5v = <-3,-3> - <30,40> = <-3-30,-3-40> = <-33,-43>
A+B = <-3,5>+<-33,-43> = <-36,-38>
-----------------
Problem 8
u = <-3,4>
v = <6,8>
2v = <12,16>
A = u+2v = <-3,4>+<12,16> = <-3+12,4+16> = <9,20>
w = <8,-1>
g = <-1,1>
B = w+g = <8,-1>+<-1,1> = <8+(-1),-1+1> = <7,0>
A+B = <9,20>+<7,0> = <9+7,20+0> = <16,20>
A swim team with 41 members decided to buy T-shirts that cost $15.75 each. 3. ___
What was the cost of the 41 T-shirts?
Answers
The total cost would be $645.75
Explanation:
Multiply $15.75 by 3
41
James has $7.60 in nickels and quarters. He has 4 fewer nickels than quarters. How many of each coin does he have?
Answers
How i can answer this question
Answers
60m
How?
5m × 3m × 4m
5m × 3m = 15m
15m × 4m = 60m
Therefore
the answer is 60
Complete the proof(using sas congruence)! Use to sas congruence to prove that two angles are congruent
Answers
1. (Statement) AC is the perpendicular bisector of BD.
3. (Statement) BC is congruent to DC. (Reason) Definition of Congruence.
4. (Reason) Definition of a perpendicular bisector.
5. (Reason) Right Angles are Congruent.
6. (Statement) AC is congruent to AC.
7. (Statement) Triangle ABC is congruent to Triangle ADC. (Reason) SAS Congruence Theorem
Hope this helps!
Three cubes each of side 3 cm each are joined end to end. Find the surface area of the resultant solid.
Answers
Answer:
126 cm^2
Step-by-step explanation:
The surface area of one cube face is (3 cm)^2 = 9 cm^2.
Each cube has 6 faces, but joining them together hides 4 of the faces. The surface area of the resultant solid is ...
(6·3 -4)·(9 cm^2) = 126 cm^2
Write the equation 5x + 2y = -6 in general form.
Answers
Answer:
[tex]5x+2y+6=0[/tex]
Step-by-step explanation:
General equations are in the form [tex]Ax + By + C = 0[/tex]
So you can add 6 to both sides to make:
[tex]5x+2y+6=0[/tex]
Can you please factorise 7-x²
Answers
Answer:
Can't factorize with rational numbers
Step-by-step explanation:
The best you could do is [tex](\sqrt{7}+x)(\sqrt{7}-x)[/tex] but [tex]\sqrt{7}[/tex] is irrational.
Answer:
Step-by-step explanation:
7-x²
If we treat this as the difference of 2 squares we get
(√7 - x)(√7 + x)
Which congruence criteria is met in the following scenario
HL
AAS
SAS
ASA
SSS
Answers
Answer: SAS
Because there is a mark showing that one pair of sides are congruent, the stars showing that one pair of angles are congruent, then the triangles are sharing a line (which means that they are congruent)