Answer:
x ∈ 〈-∞,-5/2]∪[3,+∞〉
Step-by-step explanation:
2x²-x-15 ≥ 0
2x²+5x-6x-15 ≥ 0
x(2x+5)-3(2x+5) ≥ 0
(2x+5)(x-3) ≥ 0
so
2x+5 ≥ 0
x-3 ≥ 0
2x+5 ≤ 0
x-3 ≤ 0
solve the equation
x ≥ -5/2
x ≥ 3
x ≤ -5/2
x ≤ 3
x ∈ [3,+∞〉
x ∈ 〈-∞,-5/2]
so x ∈ 〈-∞,-5/2]∪[3,+∞〉
Find the 75th term of the arithmetic sequence
16, 15, 14,
Answer:
[tex]a_{75}=-58[/tex]
Step-by-step explanation:
This is an arithmetic sequence:
[tex]a_n=a_1+(n-1)d[/tex]
where d is the common difference and n is the index of any given term.
For the given sequence, the common difference is -1:
[tex]15-16=-1\\14-15=-1[/tex]
Knowing both the common difference and the first term, you can write the equation for this sequence:
[tex]a_n=16+(n-1)(-1)[/tex]
Then you can use that equation to find the 75th term:
[tex]a_{75}=16+(75-1)(-1)\\a_{75}=16+(74)(-1)\\a_{75}=16-74\\a_{75}=-58[/tex]
16 and -10 are the solutions to which one of the fol-
lowing equations?
A. |x-2|= 14
B. |x-2|= 8
C. |x+2|= 12
D. |x-3|= 13
E. |x+3|=13
Find the area of the shaded rectangle by multiplying its length and width. Fill in the equation.
Answer:
5
Step-by-step explanation:
6/7 x 5/7 = 35/7
35/7 = 5
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
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.
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]
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
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]
SR1-2
Paula is standing on a bridge that is 110 above the water below. She throws a
pebble over the edge of the bridge, and it hits the top of a 24 foot high bridge
guard. The quadratic equation that models the path of the pebble is:
p(t) = –16t2 + 48t + 110
such that t is the time in seconds and p is the height of the pebble.
The time it will take the pebble to reach the maximum height is 1.5secs
Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110
We can calculate the time taken by the pebble to reach the maximum height.
At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0
p'(t) = -32t + 48
0 = -32t + 48
32t = 48
t = 48/32
t = 1.5secs
Hence the time it will take the pebble to reach the maximum height is 1.5secs
Learn more on velocity function here:https://brainly.com/question/25749514
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]
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.
f(x)=-x^2-7x+9 find 7f(x)
Answer:
do it got a picture
on the edge
Step-by-step explanation:
x+2=-14x
do anyone know this need it for hw
Answer:
if you was asking for *solve for X* it is -2/15
Step-by-step explanation:
sorry if this dose not help
The sum of three times a number and 5 is 32
Answer:
The number is 9.
Hope you could get an idea from here.
Doubt clarification - use comment section.
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
Let the no. be x.
[tex]:\implies\tt{3x + 5 = 32} \\ \\ \\ :\implies\tt{3x = 32 - 5} \\ \\ \\ :\implies\tt{3x = 27} \\ \\ \\ :\implies\tt{x = \frac{27}{3} } \\ \\ \\ :\implies\tt{x = 9}[/tex]
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°.
1 thor 10 HOW DOSE MY DOG LOOK
So cute!!!!!!!!!!!!!!!!!!
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]
The assessed value of a certain house is Rs.15 000. If the the relevant council institutions charges 5℅ of the value of the house as rates,calculate the rates that have to paid for year.
Answer:
15000×5/100=100/100x
150×5=x
750=x
Assessed value that you have to pay for a year is Rs.750.00
Step-by-step explanation:
Have a great day!
What is 6 percent of 200 plz show your work
Answer: 12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
200 * 0.06 = 12
A regular hexagon is rotated 360° about its center. How many times does the image of the hexagon coincide with the pre image during the rotation?
A. 1 time
B. 3 times
C. 12 times
D. 6 times
The image of the regular hexagon coincides with the pre-image 6 times during rotation.
A regular hexagon is a polygon that has six equal sides and six equal angles.
In a single rotation which is usually the rotation of an object at 360°, the number of times in which the regular hexagon coincides with its pre-image is 6 times, this is because it has 6 equal sides and 6 equal angles.
Learn more about regular polygon here:
https://brainly.com/question/1592456
Answer:
6
Step-by-step explanation:
I just took the test
X=-2y,x-y=9 solve by substitution SHOW ALL WORK
Answer:
x = 6, y = -3
Step-by-step explanation:
x = -2y
x-y = 9
Substitute x = -2y into the equation.
;(-2y)-y = 9
-3y = 9
y = 9/-3
y = -3
Substitute y = -3 into the equation.
x = -2y
x = -2(-3)
x = 6
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.
Answer:
$1
Step-by-step explanation:
Sorry the first x is blank
The second x:
$5.06-$2.06=$3
3/3=$1
Find the explicit formula for the nth term of the following sequence where the first term is a1
{-6/7, 7/9, -8/11, 9/13, -10/15, ...}
Pls no links, I actually need help
The numerators in each term are consecutive integers ≥ 6. If n = 1 refers to the first term, then the numerator of the n-th term would be n + 5.
The denominators are consecutive odd integers ≥ 7. Odd numbers take the form 2k - 1, where k is any integer, and 2k - 1 = 7 when k = 4. But we want our sequence to start at n = 1, so we replace k here with n + 3. Then the denominator of the n-th term would be 2 (n + 3) - 1, or 2n + 5.
The odd-indexed terms are negative, while the even-indexed terms are positive. We can account for the sign of the term by multiplying by (-1)ⁿ.
Taking everything together, it follows that the n-th term in the sequence is
[tex]a_n = (-1)^n \dfrac{n + 5}{2n+5}[/tex]
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!
1/2 of a bowl of cereal is divided equally between 4 bowls. how much cereal is in each bowl
Answer:
1/16 of the cereal is in each bowl
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
1/2 / 4
= 1/2 * 1/4
= 1/8.
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
thirty tickets were sold for a concert, some at 60 cent and the rest is at $1. If the total was raised to $22, how many had the cheaper tickets.
Answer:
20
Step-by-step explanation:
To solve this question we can use a system of linear equations. The 2 equations should represent- 1) the number of total tickets sold and 2) the total amount raised. So, the two equations look like this (in this situation, let x stand for the cheaper tickets and y for the more expensive ones).
x+y=300.6x+1y=22Then, there are multiple ways to solve this including graphing, elimination, and substitution. In my opinion, substitution is the best for this situation.
Firstly, isolate the y variable in the first equation
y=30-xNext, plug in this value for y in the second equation
0.6x+(30-x)=22Then, solve this equation algebraically
x=20Since x stands for the cheaper tickets, we know that 20 people bought the cheaper tickets.
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
0. CHARITY Cain collects money on the weekends for his favorite charity. The
past four weekends he collected $105, $170, $132, and $165. How much
does he have to collect on the fifth weekend to average at least $150 for
the five weekends?
Answer:
He needs to get $178 to average at least $150.
Step-by-step explanation:
105, 132, 165, 170, and 178 has an average of 150.
a
Two taxi companies have different pricing systems. Company A charges a flat fee of $8 plus $0.10
per mile driven. Company B does not charge a flat fee, but charges $0.60 per mile driven. At what
distance do both companies charge the same amount?
Answer:
16 miles
Step-by-step explanation:
let the number of miles driven be = x
Company A = Company B
8 + 0.10x = 0.60x
8 = 0.50x
x = 16
Hi ~ just a quick note:
I just started uploading videos to yt that contains steps to solving a problem. I sometimes share an unlisted video link so you can view it.
https://youtu.be/XhqLj_YOLBM
-Chetan K