Given quadrant equation:
3x² + 9x + 6 = 0
Here we see that,
→ Product of coefficient of x² and constant term = 3 × 6 = 18
→ Sum of coefficient of x² ans constant term = 3 + 6 = 9
So the given equation can be written as,
⇛3x² + 6x + 3x + 6 = 0
On taking the common terms, we get
⇛3x(x + 2) + 3(x + 2) = 0
On grouping the common terms, we get
⇛(3x + 3)(x + 2) = 0
Here either (3x + 3) = 0 or (x + 2) = 0. So,
⇛3x + 3 = 0 or x + 2 = 0
⇛3x = -3 or x = -2
⇛x = -3/3 or x = -2
⇛x = -1 or x = -2
also read similar questions:- These are the two roots of the equation.
Julian used these steps to solve the equation 9x=?6+3(3x+2) 9 x = - 6 + 3 ( 3 x + 2 ) . Which choice describes the meaning of his result, 0=0 ?
https://brainly.com/question/11808722?referrer
What is the value of the digit in the millions place?
56,931,446
A. 9,000,000
B. 50,000,000
C. 6,000,000
D. 400,000
Answer:
C 6,000,000
Step-by-step explanation:
A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college. X > 0 and y > 0 0 < x ≤ 200 and y > 400 0 < x and y < 200 0 < x ≤ 200 and 0 < y ≤ 400.
The constraints to represent the incoming students at the college are [tex]0<x \leq 200[/tex] and [tex]0<y \leq 400[/tex] and this can be determined by using the given data.
Given :
College plans to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students.x is the number of out-of-state students and y is the number of in-state students.The following steps can be used in order to determine the constraints to represent the incoming students at the college:
Step 1 - The inequalities are formed in order to determine the constraints to represent the incoming students at the college.
Step 2 - The linear equation that represents the situation "two times as many in-state students as out-of-state" is:
[tex]y = 2x[/tex]
Step 3 - The inequality that represents the situation "college only have space to accept 200 out-of-state students" is:
[tex]0<x \leq 200[/tex]
Step 4 - So, the inequality that represents the maximum number of in-state students that college can take is:
[tex]0<y \leq 400[/tex]
Therefore, the correct option is D).
For more information, refer to the link given below:
https://brainly.com/question/19491153
Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars. Select all the statements that are true.
Answer: 125 hearts and 375 stars
Step-by-step explanation:
25% of 100 is 25. Take 100 and x it by 5. 100 x 5 is 500 making 25 x 5 125. That being said 125 hearts and 375 stars
Answer:
125 hearts and 375 stars
Step-by-step explanation:
what is the simple definition of standard form
Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.
Step-by-step explanation:
Help!
NO LINKS!!!
Choose the correct set of y-values for the function y = -2x when x = -2, 0, 2.
A. (-2, -4), (0, 0), (2, 4)
B. (-2, 4), (0, 0), (2, -4)
C. (-2, -4), (0, 0), (2, -4)
D. (-2, 4), (0, -2), (2, 4)
Answer:
hi this should be your answer (-2,4),(0,0),(2,-4)
Step-by-step explanation:
hope this helps!
Reduce the fraction and find the domain:
(c+2)^2 divided by 7c^2+14c
If one plane is flying 40 mph and another plane is flying 100 mph, and they
are 200 miles apart and flying directly toward each other, in how long will the planes
meet2
Answer:
i think 60 miles
Step-by-step explanation:
I just added the 100+40 then
200-140
Answer:
1 3/7 hours
Step-by-step explanation:
The planes are closing the 200 mile separation distance at a rate of (40 +100) = 140 miles per hour. The time it takes for that distance to be closed is ...
time = distance/speed
time = (200 mi)/(140 mi/h) = 200/140 h = 10/7 h = 1 3/7 h
The planes will meet after 1 3/7 hours, about 1 hour 25 minutes 43 seconds.
please help with this
Answer:
v = 32
Step-by step explanation:
Step-1: Subtract 15 both sides
⇒ v/4 + 15 = 23
⇒ v/4 + 15 - 15 = 23 - 15
⇒ v/4 = 8
Step-2: Use cross multiplication
⇒ v/4 = 8
⇒ v = 8 × 4 = 32
Find the perimeter of both ( they have the same perimeter)
Answer:
x=2
Step-by-step explanation:
6x+3+2x+1+4x=12x+4
5x+5x+3x+2=13x+2
12x+4=13x+2
4-2=13x-12x
2=x
2(x-3) < 3(2x+2)
How do I solve for x
Answer:
x < -3
Step-by-step explanation:
2(x-3) < 3(2x+2)
Use the distributive property.
(2× x)-(2×3) < (3 × 2x) + (3×2)
2x-6 < 6x+6
add 6 to both sides
2x < 6x+12
subtract 6x from both sides.
-4x < 12
divide both sides by -4
x < -3
Solve for the positive value of x: 2x² = 50
Answer:
x=5
Step-by-step explanation:
Problem 1
Jayden has $11 and begins saving $5 each week
towards buying a new phone. At the same time that
Jayden begins saving, Aditi has $60 and begins
spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of
money?
Yes
No
Answer:
I'm thinking its a no because the money is odd every time Jayden adds $5
Step-by-step explanation:
Jayden has [tex]\$11[/tex] and begins saving [tex]\$5[/tex] per week.
Aditi has [tex]\$60[/tex] and begins spending [tex]\$2[/tex] per week.
Have x denote the number of weeks and y indicate the quantity each person has. Therefore, according to the stated conditions, the maximum amount Jayden will have after x weeks will be,
[tex]\to y = 11+5x[/tex]
Aditi will have [tex]y= 60-2x[/tex] after x weeks. Therefore, the number of weeks in which they will each have the same amount will be calculated as,
[tex]11+5x=60-2x\\\\5x+2x=60-11\\\\7x=49\\\\x=\frac{49}{7}\\\\x=7[/tex]
As a result, after 7 weeks, Lin and Diego will have the same amount, which is [tex]\$46[/tex].
Learn more:
brainly.com/question/11925965
if you multiply a number by 3 an then subtract 5,you will get 40.what is the number?
Answer:
The answer is 15
Step-by-step explanation:
15*3=45-5=40
E Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options. 6 feet by 2 feet by 3 feet 6 feet by 5 feet by 4 feet 7 feet by 6 feet by 4 feet 8 feet by 3 feet by 7 feet 8 feet by 4 feet by 3 feet
Answer:
6feet by 5feet by 4feet
7feet by 6feet by 4feet
8feet by 3feet by 7feet
Which of the following functions is graphed below
In isosceles triangle the length of a leg is 17 cm, and the base is 16 cm. Find the length of the altitude to the base.
Answer:
altitude = 15 cm
Step-by-step explanation:
you can use the Pythagorean Theorem where you have a right triangle with a base of 8 (half of 16), a hypotenue of 17, and the altitude is 'a'
a² + 8² = 17²
a² + 64 = 289
a² = 225
a = [tex]\sqrt{225}[/tex]
a = 15
Find the inverse of
Answer:
1/-0.5x
Step-by-step explanation:
1/2 = 0.5
-0.5x = -1/2x
Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x
Hope that helps
Jimmy takes a loan of 10,000$ at 12% per year as rate of interest . Find the amount, he will be required to pay after 1 year to settle the loan .
kindly stay out if u don't know the answer :)
spams , plagiarism = reported
Thanks for answering...
Answer:
1200 I THINK
Step-by-step explanation:
Answer :-
11200Step by step explanation :-
Here,
Principal = 10,000Time = 1 year rate = 12 %The intrest payable on 100$ for 1 year = 12 $
The interest payable on 10,000$ borrowed for 1 year
[tex]( \frac{12}{100} \times 10000)[/tex][tex]1200[/tex]so, at the eand of the year , he has to give an amount of $ ( 10,000 + 1200 )
11200 $C.J can shoot 36 shots in 3 minutes enter the number of shots C.J can shoot in 1 minute
Answer:
he can shoot 12 shots in 1minute
Step-by-step explanation:
3minutes = 36 shots
1 minute= 36 divided by 3 which is equal to 12
noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?
Answer:
112
Step-by-step explanation:
CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
Point A=(7,9) is dilated from the origin by scale factor of r=11. what are the coordinates of point A
Answer:
42 and 54
Step-by-step explanation:
what are some expressions that are equivalent to 3(7x–6).
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]
[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
please help and show work I'll mark you brainliest if I can
Answer: If your talking about the angle degree it is 45°
Step-by-step explanation:
The areas of two similar
squares are 16 m2 and 49 m2.
What is the scale factor of
their side lengths?
[?]:[ ]
Answer:
4:7
Step-by-step explanation:
We know that
Area of square = s²
For square 1
16 = s²
√16 = s
4 = s
For square 2
49 = s²
√49 = s
7 = s
Scale factor = 4:7
2b-3(1+b)=-3(b+7) help
Hence, 'b = -9' is the answer.
Hoped this helped
[tex]BrainiacUser1357[/tex]
As shown in the illustration, Alexa had a negative balance in her checkdng account before depositing a $47.00 check. What is the new balance of Alexa's checking account?
Answer:jjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjj
jjjjjjjjjjjj
jjjjjjjj
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Darren got 45 out of the 60 questions correct on a test. What percent of the questions did he get correct?
Answer: To to find the percentage, you simply need to divide 45 by 60:
Step-by-step explanation:
45/60= .75
Move the decimal from the .75 over 2 times which would get you 75% on his test. So he got a 75%
Answer:
75%
Step-by-step explanation:
To find the percentage of questions Darren got correct, first create a fraction.
question's correct/total question's so 45/60
Then, convert the fraction to a percent.
45/60 = 0.75 =75%
So, Darren got 75% of the questions correct.
hope i helped
A two-digit integer is randomly selected. What is the probability that its digits are
different? Express your answer as a common fraction.
Answer:
9/10
Step-by-step explanation:
There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.
Whatever the first digit is, there are 9 ways to make the 2nd digit different.
Someone please help meh
Answer:
1100
Step-by-step explanation:
Answer:
A = 55.15
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos A = adj side / hypotenuse
cos A = 4/7
Taking the inverse cos of each side
cos ^-1 ( cos A) = cos ^-1( 4/7)
A =55.15009542
To the nearest hundredth
A = 55.15