Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
A 2-column table with 2 rows. The labels for the columns and rows are blank. First column entries are 5 x squared, 10 x. Second column entries are negative 2 x, negative 4. Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Select two options. (x + 1) (2x + 1) (x + 2) (5x + 1) (5x – 2)
Answer:
(5x – 2) and (x + 2)Step-by-step explanation:
In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;
[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]
The factors that can be multiplied together are (5x – 2) and (x + 2)
Answer:
The Answer On Edge Is C.) and E.), Have Fun Dreamers!
Step-by-step explanation:
use factoring to solve
x^2-2x-35=0
Answer:
I'm sorry I don't have an answer but for all future math work you should download photomath on your phone it's rly good
Answer:
The solution set of the quadratic equation is
x = {7, -5}
Step-by-step explanation:
Given the quadratic equation
[tex]$ x^2 - 2x -35 = 0 $[/tex]
We need to factor this equation
So you need two numbers such that
a + b = -2
and
a×b = -35
How about -7 and 5?
-7 + 5 = -2
-2 = -2
and
-7×5 = -35
-35 = -35
(x - 7)(x + 5) = 0
(x - 7) = 0
x = 7
and
(x + 5) = 0
x = -5
Therefore, the solution set of the quadratic equation is
x = {7, -5}
Verification:
Plug 7 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(7)^2 - 2(7) -35 = 0 \\\\49 - 14 - 35 = 0 \\\\49 - 49 = 0\\\\0 = 0[/tex]
Plug -5 into the quadratic equation
[tex]x^2 - 2x -35 = 0 \\\\(-5)^2 - 2(-5) -35 = 0 \\\\25 + 10 - 35 = 0 \\\\35 - 35 = 0\\\\0 = 0[/tex]
To cover a distance of 240 km has to increase a speed of 5 per hour to reach in time time. If the time Lost was 40 minutes during traffic find the original speed
Answer:
The initial speed is approximately 104.3 km
Step-by-step explanation:
Let Distance = 240 km
Time = ?
Speed =
Since
Speed = Distance/Time
Distance = Speed × Time
When arrival is late:
240 = S×T
When arrival is on time:
240 = (S+5)×T2
But 40minutes = 2/3 hours
So,
T2 = T - 2/3
240 = (S+5)×(T - 2/3)
240 = ST - 2S/3 + 5T - 10/3
ST - 2S/3 + 5T = 240 + 10/3
S(T - 2/3) + 5T = 730/3
S(T - 2/3) = 730/3 - 5T
S = (730/3 - 5T)/(T - 2/3)
But 240 = ST
S = 240/T
240/T = (730/3 - 5T)/(T - 2/3)
(T - 2/3)/T = (730/3 - 5T)/240
1 - 2/3T = 730/720 - 5T/240
1 + 73/72 = (2/3 + 5/24)T
145/72 = (7/8)T
T = 145/72 × 8/7
= 1160/504
T = 145/63
S = 240/S
= 240×63/145
= 3024/29
≈ 104.3km
If f(x) = 1 - X, which value is equivalent to [f(I)]?
О0
0 1
O v2
Ov-1
Answer:
0
Step-by-step explanation:
Here, given the function f(x), we want to calculate f(1)
Mathematically, this means we shall substitute 1 for the value of x in that function.
Thus, given F(x) = 1-x
Then F(1) would be = 1-1 = 0
WILL GIVE BRAINLIEST 5TH GRADE ASAP PLS HELP
what is 2sqrt(5)
Answer:
The answer is (rounded) 4.47213
Step-by-step explanation:
Have a nice day!
Answer:
The correct choice is 4.47213
Step-by-step explanation:
f(x) is a function true or false
Answer:
Depends on the x value
Step-by-step explanation:
f(x) can only be a function if the x values are not repeating.
find the value of each trigonometric ratio part 3
Answer:
hope this helps you
I need help please! I’m really confused about it
The answer is 1 and 3
what is the sum of a and b?
Answer:
a=13, b=7
Step-by-step explanation:
You can use the exponent rule
[tex]3x^{a-5}y^{9-b}=3x^{8}y^{2}[/tex]
so [tex]x^{a-5}=x^{8}[/tex] so
a-5=8
a=13
[tex]y^{9-b} =y^{2}[/tex] so
9-b=2
b=7
A box contains 20 different balls numbered from 1 to 20 (different balls have different numbers). At each step, we select a ball uniformly at random, record the number on it, and put it back in the box. This experiment is repeated 10 times. Find the probability that all the numbers recorded were distinct.
Answer:
P = 0.0655
Step-by-step explanation:
First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:
[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]
Because we have 20 different balls every time and the experiment is repeated 10 times.
Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:
[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]
Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.
Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:
[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]
Let f(x) = -3x^2 + 6x. Find f(2).
Answer:
0
Step-by-step explanation:
Substitute x for 2
-3(2)^2 + 6(2)
Order of operations says that exponents are next, so square the 2
-3(4) + 6(2)
multiply
-12 + 12
add
0
Answer:
The correct answer is 0
Hope it helps
Step-by-step explanation:
F(x) is given
So to find f2 we substitute all the variables (x) with the number 2 so it becomes..
f(2)=
-3(2)^2 + 6(2)
= -3(4)+ 6(2)
= -12+12
= 0
Getaway Travel Agency surveyed a random sample of 454545 of their clients about their vacation plans. Of the clients surveyed, 212121 expected that they would go on 333 vacations in the next year. There are 516516516 Getaway Travel Agency clients.
Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 333 vacations in the next year?
Answer:
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
Step-by-step explanation:
The best estimate for the proportion of clients who expect to go on 3 vacations is the same proportion of the sample.
Sample:
45 clients.
Of those, 21 expected to go on 3 vacations in the next year.
21/45 = 0.4667
Out of the 516 clients:
0.4667*516 = 240.8
Rounding up
The most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year is 241.
you are emailing your cousin a care package in a box shaped like a cube. Each side of the box is 6 inches long. You mist cover the box with brown wrapping paper in order for the post office to accept it. What is the minimum amount of brown wrapping paper you will need in order to completely cover the box
==========================================================
Work Shown:
x = side length of cube = 6 inches
SA = surface area of cube
SA = 6x^2
SA = 6*6^2
SA = 6*36
SA = 216 square inches
------------
side note: if you have a rectangular box that isn't a cube (ie the length, width, and/or height aren't all the same), then you would use this formula to get the surface area
SA = 2*(L*W+L*H+W*H)
where L,W,H are the length, width and height respectively.
Factorize x squared - 1x +10 =0
Answer:
no solution exists:
Step-by-step explanation:
x²−1x+10=0
Step 1: Simplify both sides of the equation.
x²−x+10=0
Step 2: Subtract 10 from both sides.
x²−x+10−10=0−10
x²−x=−10
Step 3: The coefficient of -x is -1. Let b=-1.
Then we need to add (b/2)^2=1/4 to both sides to complete the square.
Add 1/4 to both sides.
x²−x+ 1/4=−10+ 1/4
x²−x+ 1/4=−39 /4
Step 4: Factor left side.
(x -1/2)² = −39 /4
Step 5: Take square root.
x −1 /2 =±√ −39 /4
Step 6: Add 1/2 to both sides.
x =−1/2 + 1/2 = 1/2 ±√ -39/4
x = 1/2 ±√ -39/4
No real solutions.
Complete the statements about series A and B. Series A: 10+4+ 8/5 + 16/25 + 32/125 + ... Series B: 1/5+ 3/5 + 9/5 + 27/5 + 81/5 + ... Series ____ has an r value of ___ where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is ___.
Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
Step-by-step explanation:
To find the r (rate) of each series, we can divide one term by the term before:
Series A: 4 / 10 = 2/5
Series B: (3/5) / (1/5) = 3
So the series A has an r value between 0 and 1, so we can find the sum of the series.
The sum is given by the formula:
Sum = a1 / (1 - r)
Where a1 is the first term. So we have that:
Sum = 10 / (1 - (2/5))
Sum = 10 / (3/5)
Sum = 10 * (5/3) = 50/3
Answer:
Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".
The point-slope from of a line that has a slope of -2 and passes through the point (5,-2)
Step-by-step explanation:
y + 2. = -2(x - 5)
y + 2 = -2x + 10.
y = -2x + 8
A rectangular frame has a diagonal with a length of 20 inches and a longer side with a length of 15 inches
Which of the following is closest to the length of its shorter side?
(1) 9.7 inches
(3) 13.2 inches
(2) 11.9 inches
(4) 14.8 inches
Answer:
(3)13.2
Step-by-step explanation:
c²=a²+b²
20²=15²+b²
20²-15²=b²
400-225=b²
175=b²
b=√175
b=13.2inches
Pls ANSWER LOOK AT THE PHOTO ANSWER ASAP
Answer:
Answer number one, x < 7/12
Answer:
A
Step-by-step explanation:
If you make he denominators equal to each other (in this case 12) the new fractions would be 3/12 and 10/12. Then you would subtract 3/12 from both sides making 7/12 on the right side. The inequality remains facing the same direction, making the answer A or x<7/12.
A bag has the following 10 colored stones in it. There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. What is the probability of a green stone?
Answer:
3/10
Step-by-step explanation:
There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10
P( green) = number of green / total
= 3/10
angles M and N are supplementary find angle M if angle N=27
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
Solve the equation.
-9x + 1 = -x + 17
Answer:
The value of [tex]x[/tex]:
[tex]x = -2[/tex]
Step-by-step explanation:
Find the value of [tex]x[/tex]:
[tex]-9x + 1 = -x + 17[/tex]
-Add both sides by [tex]x[/tex]:
[tex]-9x + 1 + x = -x + x + 17[/tex]
[tex]-8x + 1 = 17[/tex]
-Subtract both sides by [tex]1[/tex]:
[tex]-8x + 1 - 1 = 17 - 1[/tex]
[tex]-8x = 16[/tex]
Divide both sides by [tex]-8[/tex]:
[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]
[tex]x = -2[/tex]
So, the final answer would be [tex]x = -2[/tex] .
Answer:
x=−2
Step-by-step explanation:
−9x+1=−x+17
Add x to both sides.
−9x+1+x=−x+17+x
−8x+1=17
Subtract 1 from both sides.
−8x+1−1=17−1
−8x=16
Divide both sides by -8.
−8x/-8 = 16/-8
Answer:
x=−2
The expression (3x2 + 2xy + 7) − (6x2 − 4xy + 3) is Equivalent to −3x2 − 2xy + 4 3x2 − 2xy + 4 −3x2 + 6xy + 4 3x2 − 6xy − 4
Answer:
[tex]-3x^2+6xy+4[/tex]
Step-by-step explanation:
[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]
Hope this helps!
Answer:
3x2-6xy
Step-by-step explanation:
I think i dont know
Find the equation of a line parallel to y = 2x + 4 that goes through the point (2,5)
Answer:
y= 2x+1
Step-by-step explanation:
Line parallel to y = 2x + 4
And that goes through the point (2,5)
-----------
Parallel lines have equal slope, so it will be in the form of y= 2x+b
Let's find the value of y-intercept (b) by using the given point:
5= 2*2+bb= 5-4b= 1So the line is: y= 2x+1
2 prime factorization of 44
Answer:
2*2*11
Step-by-step explanation:
44 = 4*11
But 4 isn't prime
= 2*2*11
All of these are prime
37 POINTS pls help time limit 13 minute left...
Answer:
first 3
Step-by-step explanation:
Answer:
A B C and D are all true not the last one!
Step-by-step explanation:
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase
Answer:
Let x be the value of the house before increase
Since it's increases add 7% to the overall 100%
107/100x = 749000
x = 700000
The value of the house before increase is £700000.
Hope this helps.
In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?
Answer:
The difference between games won and games lost is 15.
Step-by-step explanation:
Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:
[tex]win + draws = 28[/tex]
Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:
[tex]3*win + draws = 70\\[/tex]
We now have a system of equations, which we can solve.
[tex]win + draws = 28\\3*win + draws = 70\\[/tex]
Multiplying the first equation by -1:
[tex]-win- draws = -28\\3*win + draws = 70[/tex]
Adding both equations:
[tex]2*win = 42\\win = 21[/tex]
Since the team won 21 games and lost 6, the difference is 15.
The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
Answer:
{y: y = –7, –2, 3, 8}
Step-by-step explanation:
what is the value of 7²-3³
Answer:
22
Step-by-step explanation:
7^2 - 3^3
Exponents first
49 -27
Then subtract
22
Answer: 22
Step-by-step explanation:
Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.
PLSS HELP ME FIND THE SURFACE AREA OF THE TRIANGULAR PRISM
THXXSSSS AND HURRY PLS
Answer:
108m^2
Step-by-step explanation:
surface area of any shape: sum of the area of its sides.
area of cross section x 2 = 4 x 3 12 m^2
area of slope: 5m x 8m = 40m^2
area of base: 8 X 3 = 24 m^2
area of back: 8m x 4m = 32m^2
sum = surface area = 108m^2
Please mark brainiest