Answer:
n = [tex]\frac{1}{3}[/tex] , n = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = [tex]\frac{1}{3}[/tex]
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = [tex]\frac{1}{2}[/tex]
PLS HELP I WILL GIVE BRAINLYEST
Use the number line to find the distance between −10 and −4.
Enter the answer into the box
When we use the number line, we need to count forward from -10.
-9,-8,-7,-6,-5,-4Conclusion:Therefore, the distance between -9 and -4 is 6 units.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
Question in the picture
Answer:
√85
Step-by-step explanation:
(9,11)(9,3) find the slope and explain
please
Answer:
0
Step-by-step explanation:
y2-y1/x2-x1
11-3/9-9
8/0
0
slope=0
Kaya is riding her dirt bike eastward on a dirt road. She spots a pothole ahead. Kaya slows her car from 18.0 m/s to 6.5 m/s in 6.5 s. What is her acceleration?
How do I factor this problem?
Answer:
[tex]7x(4x-1)[/tex]
Step-by-step explanation:
First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.
Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.
Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:
[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]
Another example of what I said above would be this:
Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.
[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]
How would you write "there were 3 times as many baby dinosaurs as adult dinosaurs" as an algebraic equation where x = baby dinosaurs and y = adult dinosaurs?
Step-by-step explanation:
x = 3y
or y = x/3
bottom line : there are three times as many x as there are y. or the number of y is 1/3 of x.
What is (0,1) and (4,2) in slope intercept form
Answer:
y = 0.25x+1
Step-by-step explanation:
Y= mx+b
m= 0.25
b= 1
hope this helps
It costs $10 to rent a canoe and $5.50 to use the canoe for an hour. You have $21. Write an equation that represents the number h of hours you can rent the canoe.
Answer:
21 = 10 + 5.5h
Step-by-step explanation:
Total cost = initial cost + hourly cost
21 = 10 + hourly cost
hourly cost = 5.5 per hour, or 5.5 * h as we add 5.5 for each hour
21 = 10 + 5.5h
Answer:
Step-by-step explanation:
$10 + $5.50h ≤ $21
Let h stand for the hours the canoe is rented.
Fixed cost = $10, regardless of h.
$5.50h for the cost of n hours of rental.
Total cost = $10 + $5.50h
The total cannot exceed $21, legally.
So we should write:
$10 + $5.50h ≤ $21
If $10 + $5.50h ≥ $21 then ║║║║║║║
HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!!
Answer:
x > -4
Step-by-step explanation:
- 16x < 64
Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)
x > -4
(When dividing or multiplying by a negative the inequality sign flips!)
Hope this helps and have a good day!
HELP ASAP PLEASEEEEEEEEEEE HELP MEEE
Answer:
5x 24 = 120 pulus degreece so that = a 120 digree angle
Step-by-step explanation:
a store is handing out scratch-off cards to its customers .for each card a customer wins either a coupon or a free t-shirt .the ratio of coupon cards to t-shrits is 9:2 .the total of 8,250 cards how many of the cards are t-shirts cards
Step-by-step explanation:
Ratio 9:2, therefore total number of shares is 11.
because 9+2 = 11
total cards = 8,250
8,250/11 = 750
This is the value for one of the shares.
As the ratio is 9:2 we can find:
9 X 750 : 2 X 750
To see what everyone has won.
T-shirts : 2 X 750 = 1,500.
Hope you understand how it's done, if not leave a comment and I'll try to be more thorough
Find the value of r in the isosceles triangle shown below.
8
8
6
Answer:
r = 6
.....................
please help and show work
x=
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
What can readers learn from ""A Flight Through the Sky""?
Readers can learn various information related to an airplane flight.
Fly through the sky is a children's song in which different aspects of an airplane flight are described in a simple and direct way. Some of the aspects that a person can learn by reading the lyrics of the song are:
Technical aspects of flight and aircraft. Its wheels are inflated with air. Its engine runs on fuel. Its wings are made of aluminum. All passengers must wear seat belts during take off.
Learn more about airplane in: https://brainly.com/question/15415980
Evaluate the expression 4(2x + 6) when x = 4.5 *
122
60
42
12
Answer:
The solution to the expression with x = 4.5 is 60.Step-by-step explanation:
Given:
x = 4.5Work:
4(2x + 6)=> 8x + 24=> 8(4.5) + 24=> 36 + 24=> 60Hence, the solution to the expression with x = 4.5 is 60.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
the EM wave emitted by the sun and responsible for heating the Earths atmosphere due to green house effect is
The art club in Northwestern middle school is selling candy bars as a fundraiser. each art club member....
how old are you android phone is not
Answer:
I am 14 years old
Step-by-step explanation:
36 ÷ ____ = 9 15 points
Answer:
36 ÷ __4__ = 9
Step-by-step explanation:
36/9 = 4, so
36 ÷ __4__ = 9
If the two legs of one right triangle are congruent to the two legs of another right triangle, then the two triangles are congruent.
a) True
b) False
Answer:
Step-by-step explanation:
This only happens with right triangles. You need only 2 legs. The reason is that the two legs given are the arms of the right angle so secretly you are using SAS. The right angle is enclosed by the two legs, and that must be stated among your givens.
So the answer to the question is true.
there are 47 students in the science club. all but 5 of them went on a field trip to the planetarium. what is the total cost if each student who went on the field trip paid $7?
Answer:
294
Step-by-step explanation:
40x7=280
2x7=14
280+14=294
Answer:
$294
Step-by-step explanation:
There is a total of 47 students in the science club.
5 did not go on the trip.
Number of students who went on the trip: 47 - 5 = 42
42 students wen on the trip.
Cost per person: $7
Total cost for 42 students: 42 × $7 = $294
Molly has biweekly gross earnings of $839. 52. By claiming 1 more withholding allowance, Molly would have $16 more in her take home pay. How many withholding allowances does Molly currently claim? a. 1 b. 2 c. 3 d. 4.
Molly currently claims 2 withholding allowances which can be determined by using rules of allowance.
Given that,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
We have to determine,How many withholding allowances does Molly currently claim?
According to the question,Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
The withholding allowance is used by a person to pay less amount of tax on his or her income to the government.
Molly has biweekly gross earnings of $839. 52.
By claiming 1 more withholding allowance,
Molly would have $16 more in her take-home pay.
Therefore,
It is given that Molly has taken 1 more withholding allowance to pay tax less by the amount of $16.
So he must have possessed at least 1 allowance previously and added 1 more.
So, the minimum number of allowance possessed by Molly = 2
Hence, Molly currently claims 2 withholding allowances.
For more details about Income Tax refer to the link given below.
https://brainly.com/question/1708567
Solve for x
1. x + 4x = 90
Answer:
First, you combine like terms.
Then, you divide both sides of the equation by the same term.
Next, you simplify.
Lastly, you have your solution, which is x= 18
Step-by-step explanation:
Hope this helps!
rút gọn (x-4) (x-3) -x(x+5) +82
Answer:
-12x + 94
Step-by-step explanation:
Simplify:
[tex]\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x\left(x+5\right)+82[/tex]
[tex]=x^2-7x+12-x^2-5x+82[/tex]
[tex]=x^2-x^2-7x-5x+12+82[/tex]
[tex]=-7x-5x+12+82[/tex]
[tex]=-7x-5x+94[/tex]
[tex]=-12x+94[/tex]
Why are scarcity and choice basic economic questions faced by every society?
1
A line has a slope of -2 and a y-intercept of -2.
What is the x-intercept of the line?
A -4
B -1
C 1
D 4
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 and c = - 2 , then
y = - 2x - 2 ← is the equation of the line
To find the x- intercept let y = 0 in the equation and solve for x , that is
- 2x - 2 = 0 ( add 2 to both sides )
- 2x = 2 ( divide both sides by - 2 )
x = - 1
The x- intercept is - 1 → B
Need help ASAP! Question in picture;)
Solve for x.
Step-by-step explanation:
[tex]30 + 4x + 2 = 80[/tex]
[tex]4x + 32 = 80[/tex]
[tex]4x = 48[/tex]
[tex]x = 12[/tex]
Therefore, the answer is x = 12.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
what is the approximate value of a local maximum for the polynomial
Answer:
D) 2.5
Aaliyah- ツ
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.