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]
A teacher asked her students to divide a large number by 50.
• Aslan divided the number by 50.
• Lucy divided the number by 5 and then divided the answer she got by 10.
• Jack divided the number by 10 and then divided the answer he got by 40.
Who among these got the correct answer assuming they did NOT make mistakes in division?
Answer:
Step-by-step explanation:
Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.
Aslan of course would get the right answer. It's direct and it does give the right answer.
Lucy also did it correctly.
Jack is the only one who will not get it right.
please help me figureout 4y+x=8
RS= 6x-8
UV= 4x+2
write and solve an equation to find the value of x (show work)
What is the length of RS
What is the length of UV
Answer:
The length of RS is 22
The length of UV is 22
Step-by-step explanation:
6x-8. ---------- equation (i)
4x+2 ------------ equation (ii)
Now,
equating equation i and ii, we get
6x-8 = 4x+2
or, 6x-4x = 2+8
or, 2x = 10
or, x = 10/2
.°. x = 5
Then,
length of RS = 6x-8
= 6×5-8
= 30-8
= 22
Again
length of UV = 4x+2
= 4×5+2
= 20+2
= 22
45 + 30 = 100 - w
Answer correctly luvs
Answer:
the answer is 25
Step-by-step explanation:
45+30=100-w
then your going to subtract 45 on both sides. So 100-45 is 55.
so now your equation looks like this
30 = 55 - w
subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25
i hope thus helps
Today 60 students rode their bicycles to Coast Middle School. If this is 75% of the students at the school, how many students attend Coast middle School?
Answer:
i think students attend Coast middle School 80 students
Step-by-step explanation:
students attend Coast middle School x students
75%x = 60
x = 60×100/75
x = 80
Answer:
80 students attend
Step-by-step explanation:
75% is the same as 3/4 so you divide 60 by 3 to get 20 then you can multiply that by 4 to get 80
Someone please answer this and not one of those bot links answer it someone an actual person please answer it I’ll give you brainliest…
Answer:
1) y = 13.5x + 12) y = 12x + 43) Sam won the raceStep-by-step explanation:
Part 1Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
The distance after x seconds is:
y = 13.5x + 1Part 2Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
The distance after x seconds is:
y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4Part 3After 15 seconds the distance from the start line is:
Sam ⇒ y = 13.5*15 + 1 = 203.5 ftAlice ⇒ y = 12*15 + 4 = 184 ftAs we see Sam is further from the start line than Alice
Helpp with number 23 pls
Answer : Susan is correct
Susan is correct because if you get that chart and turn all the numbers to decimals and divide the chart in half you will get the answer to 1.4/0.2 because the chart has 14 slots and if you divide that by 2 you will get 7 just think of 1.4/0.2 as 14/2.
I want help its urgent!!!
(iv), (v), (vi) Questions
Solution:
iv) Given equation: [tex]x^{2} - y^{2} - 4x - 2y + 3[/tex]
Since we are given two variables, we need to split the original expression into two quadratic expressions as
[tex]x^{2} - 4x + 4 - y^{2} - 2y - 1[/tex]
Factoring x first:
[tex]x^{2} - 4x + 4 =[/tex] [tex]x^{2} - 2x - 2x + 4[/tex]
= [tex]x (x - 2) - 2 (x-2)[/tex]
= [tex](x-2)(x-2)[/tex]
[tex]= (x-2)^{2}[/tex]
Factoring y now:
[tex]-y^{2} - 2y - 1 = -1(y^{2} + 2y + 1)[/tex]
= [tex]-1(y^{2} + y + y + 1)[/tex]
= [tex]-1[ y(y+1) + 1(y+1)][/tex]
= [tex]-1 [(y+1)(y+1)][/tex]
= [tex](y+1)(-y-1)[/tex]
Therefore, the original expression becomes
[tex](x-2)^{2}+(y+1)(-y-1)\\or \\(x-2)(x-2) + (y+1)(-y-1)[/tex]
solve similar triangles (advanced)
Answer:
1
Step-by-step explanation:
They are similar triangles and ED and AD are 9 so CB and AB must be 1.
which is equivalent to 2^-3/2^2
Answer:
[tex]1/32[/tex]
Step-by-step explanation:
To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.
Example I would like to find out [tex]2^{-2}[/tex],
You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]
Which would be 0.25 or 1/4
Lets apply this knowledge to the following question:
1. [tex]2^{-3} / 2^{2}[/tex]
2. [tex]\frac{1}{8} / 4[/tex]
3. [tex]1/32[/tex]
How many inflection point(s) do you see ?
Answer:
7
Step-by-step explanation:
There is a point of inflection at each point where the graph crosses the line y=2. There are 7 points of inflection shown.
__
A point of inflection is where the graph changes from being concave downward to concave upward, or vice versa. For a sine function, that is everywhere the function crosses its midline.
Answer:
7 inflection points
Step-by-step explanation:
The given function [tex]f(x)=sinx+2[/tex] has a midline of y=2 where each point of the function that intersects the line is an inflection point. Inflection points are where the concavity changes, defined by when the second derivative is equal to 0 or undefined.
[tex]f(x)=sin(x)+2[/tex]
[tex]f'(x)=cos(x)[/tex]
[tex]f''(x)=-sin(x)[/tex]
[tex]0=-sin(x)[/tex]
[tex]x=\pi n[/tex] for any integer [tex]n[/tex]
From [tex][-10,10][/tex], there are 7 inflection points, which are[tex]x=-3\pi,-2\pi,-\pi,0,\pi,2\pi,3\pi[/tex]
Find the perimeter of the figure shown to the right.
Step-by-step explanation:
that is very simple. you do understand the word "perimeter" ? it just means the distance when walking around the whole shape once.
and that clearly means to just add all side lengths.
that's it.
so, 25 + 18 + 18 + 20 + 17 = 98 ft
was there any other problem with this you did not understand ?
What is the LCD of 8/9 and 2/3
I need 3 more brainiest can anyone help a girl out plz
Answer:
:/
Step-by-step explanation:
Answer:
Sure
Step-by-step explanation:
At the movies, tickets cost $12 for adults and $7 for kids under 12. How many total
tickets would someone get if they purchased 2 adult tickets and 16 kids tickets? How
many total tickets would someone get if they purchased a adult tickets and k kids
tickets?
Total tickets, 2 adult tickets and 16 kids tickets:
Total tickets, a adult tickets and k kids tickets:
Answer:
18a+kStep-by-step explanation:
The total number of tickets is the sum of the number of adult tickets and the number of kid tickets.
Total tickets, 2 adult tickets and 16 kids tickets: 2 +16 = 18
Total tickets, a adult tickets and k kids tickets: a +k
_____
Additional comment
The total price is a different matter:
$12(2) +$7(16) = $136 . . . for 2 adult and 16 kids
12a +7k . . . for 'a' adults and 'k' kids
You want to know the number of games you can play at the carnival with $45. It costs $10 to get into the carnival and $7 for one game. Write and solve an equation to find out how many games you can play.
Question 1 (1 point)
When a transversal passes through two lines and the corresponding angles are
congruent, then the lines are parallel.
True
False
Answer:
True
Step-by-step explanation:
If corresponding angles are congruent, the lines are parallel
Simplify.
46‾√+26‾√−6‾√
56‾√
518‾‾‾√
618‾‾‾√
66‾√
618 hope this helps you have an amazing week
I honestly don’t know
Answer:
x=-3h
x=-12
Step-by-step explanation:
[tex]\frac{x}{h} +1=-2[/tex]
[tex]\frac{x}{h} =-3[/tex]
[tex]x=-3h[/tex]
[tex]x=-3(4)[/tex]
[tex]x=-12[/tex]
A candy company used 8 pints of chocolate to
make 2 boxes of candy. How much chocolate would
they need to make 6 boxes of candy?
Answer:
They would need 24 pints of chocolate to make 6 boxes of candy
consider each table. does the table represent a proportional relationship? Select yes or no for tables A-C
Answer:
A. No, it does not represent a proportional relationship.
B. Yes, it represents a proportional relationship.
C. No, it does not represent a proportional relationship.
Step-by-step explanation:
think of the increase for X and Y, if they increase at the same rate for both and and for X to Y, they have a proportional relationship.
1 thor 10 HOW DOSE MY DOG LOOK
So cute!!!!!!!!!!!!!!!!!!
Can someone plz help Me? :(
the greatest common factor of 48 and 60 is D.) 12
Answer:
Answer: D or 12
Step-by-step explanation:
This one is fairly simple.
The Greatest Common Factor is the largest number that can go into both 48 and 60...
What I did is simply took the largest number from the answer choices: which is 12 and then divided 48 and 60 by 12 each. 12 can go into both of these number whole so 12 is your greatest common factor.
What is the answer please give i really help and no links
Answer:
[tex]9\frac{57}{63}[/tex]
Step-by-step explanation:
First, we need to turn them into improper fractions:
[tex]2\frac{4}{7}[/tex] + [tex]7\frac{3}{9}[/tex]
7 x 2 + 4
7 x 9 + 3
[tex]\frac{18}{7}[/tex] + [tex]\frac{66}{9}[/tex]
Next, we need to find a common multiple of both 7 and 9
7, 14, 21, 28, 35, 42, 49, 56, 63
9, 18, 27, 36, 45, 54, 63
So the denomonator turns into 63.
We've multiplied the denomonater 9 times for the first fraction and 7 times for the second fraction, we therefore have to do the same to the numerator.
18 x 9 = 162
66 x 7 = 462
[tex]\frac{162}{63}[/tex] + [tex]\frac{462}{63}[/tex] = [tex]\frac{624}{63}[/tex]
Next, we have to turn it back into a mixed number.
To work it out: 624 / 63 = 9 (1 s.f) <--- Mixed number.
9 x 63 = 567
624 - 567 = 57 (Working out the remainder.)
Combining them, the answer is therefore [tex]9\frac{57}{63}[/tex]
Hope this helps and have a good day!
Peter has 100$. The price of a watch is 60$. If Peter gets 25% discount,can he buy 2 watches?
yes.
25 percent discount means that the price of one watch is 45 dollars.
45 plus 45 is less than 100.
Answer:
The answer is yes.
Step-by-step explanation:
25% = divide by 4
25% of 60$ = 60$ divided by 4 = 25$
So then we need to do 60$ - 25$ which equals to 45$.
45$ + 45$ = $90.
Hope that helps. x
What is the value of x in the polygon below?
Answer:
x=141
Step-by-step explanation:
The measure of all the angles in a septagon (7 sided shape) add up to 900°. The current sum of the known angles 131°+122°+125°+148°+107°+126°=759°.
900° total sum minus known sum 759° equals 141°.
f(x)=-x^2-7x+9 find 7f(x)
Answer:
do it got a picture
on the edge
Step-by-step explanation:
What is the LCD of 1/5 and 9/7
Emma pays 10$ to join a gym. For the first 5 months she pays a monthly 15$ membership fee. For problems 6-7 use the explicit rule f(n)=15n+10
6. Complete the table, then use the table to create ordered pairs.
7. Graph the sequence using the ordered pairs.
Answer: For the first 5 months she pays a monthly$15 membership fee. Use the explicit rule f(n) = 15n + 10
Step-by-step explanation:
The table of the ordered pairs and the graph is plotted.
What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have Emma who pays $10 to join a gym. For the first 5 months she pays a monthly $15 membership fee. The explicit rule that represents the situation above is f(n) = 15n+10.
We have the function as -
f(n) = 15n+10.
We can create a table as follows -
[n] f[n]
1 25
2 40
3 55
4 70
5 85
Refer to the graph of the function f(n) = 15n+10 attached.
Therefore, the table of the ordered pairs and the graph is plotted.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ2
If AB is parallel to CD and the slope of AB is -3, what is the slope of CD
Answer:
-3
Step-by-step explanation:
The slopes of parallel lines are equal.
If two lines are parallel (that means they are at the same angle, they are always the same distance apart and they never cross), then they have the same slope. Both lines have slope -3
Answer:
-3
Step-by-step explanation:
There is a rule in math that if two slopes are parallel, they must have the same slope. Let's answer the question with this first.
So AB is parallel to CD, meaning they must have the same slope. If AB's slope is -3, then so must CD's. That's the answer to the question.
Coming back to the parallel slope rule, why does this work? Well, if two lines are parallel, it means they never will touch each other, meaning they rise, fall, bend, curve, etc... at the same rate. The slope is the change in how much the line rises divided by the change in how much it runs (moves horizontally). That proves the rule.
Please consider a brainliest, thank you!