Answer: x = 7, x = -1
Step-by-step explanation: Move the term to the left side
x^2 + 2x - 7 = 8x
x^2 + 2x - 7 - 8x = 0
Combine like terms
x^2 + 2x - 7 - 8x = 0
x^2 - 6x - 7 = 0
x^2 - 6x - 7 = 0
a = 1
b = -6
c = -7
x = -(-6) + (-6)^2 - 4 x 1(-7)/ 2 x 1
Evaulate the Exponent
Multiply the numbers
Add the numbers
Evaluate the square root
Multiply the numbers x = 6 ± 8/2
To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.
x = 6 + 8/2
x = 6 - 8/2
Rearrange and isolate the variable to find each solution
x = 7
x = -1
suppose+the+population+of+a+small+town+is+16000+and+growing+exponentially+at+2.2+%.+how+many+years+until+the+population+reaches+25000?
Answer:
20.5 years
Step-by-step explanation:
The population is given by the exponential function ...
p = 16000·(1 +0.022)^t
When p = 25000, we can find the value of t by taking logarithms.
log(25000/16000) = t·log(1.022) . . . . . divide by 16000, take the log
t = log(25/16)/log(1.022) ≈ 20.5 . . . . . . divide by the coefficient of t
It will take about 20.5 years for the population to reach 25000.
Sara bought a pair of jeans for $75. If the jeans were on sale for $25 off, calculate the discount.
Answer:
33.3333% decrease
Step-by-step explanation:
Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100
75 - 25 = 50
the price went from $75 to $50.
75 - 50 = 25
25 ÷ 75 = 0.3333333333333
0.3333333333333 x 100
= 33.3333%
Answer:
the discount was 33.3% off
Step-by-step explanation:
((New - Old) / |Old|) x 100
((50 - 75) / |75|) × 100
(-25 / 75) = -0.333
-0.333 x 100 = 33.3%
18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176
What is the common ratio between successive terms in the sequence?
Answer:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
Step-by-step explanation:
The common ratio of a geometric progression is calculated by dividing two consecutive terms and simplifying it to the simplest form. In the sequence, the ratio 1/3 is the same and is called the common ratio
pls help due soon i’ll mark brainliest
I can't see anything dude, you on something?
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
7) There are 5 white balls, 8 red balls, 7 yellow balls and 4 green
balls in a container. A ball is chosen at random.
What is the probability of choosing red?
8)What is the probability of choosing green?
9) What is the probability of choosing either red or white?
10) What is the probability of choosing neither white nor green?
11) What is the probability of choosing other than yellow?
12) What is the probability of choosing black?
Answer:
7. 1/3
8. 1/6
9. 13/24
10. 5/8
11. 17/24
12. 0
Step-by-step explanation:
First find the total number balls by summing the indiviudal number of balls:
Total = 5 + 8 + 7 + 4 = 24
Then, the find any probability divide the number of ways your selected situation can happen from the total:
[tex]probability = \frac{number.of.possible.ways}{total.number.of.ways}[/tex]
A final step if you want is to reduce the fraction to its simplest value. For example,
[tex]\frac{2}{4} =\frac{1}{2}[/tex]
7) 8/24 = 1/3
8) 4/24 = 1/6
9) (8+5)/24 = 13/24
10) (24 - 5 -4)/24 = 15/24 = 5/8
11) (24 - 7)/24 = 17/24
12) (0)/24 = 0
---
Hey, hope this helped! If you want to say thank you, click the "Thanks" button and select the answer "The Brainliest!" - I appreciate it!
Question Is In The Picture
Answer:
30
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2
this theorem only works on triangles with an angle of 90 degrees or a right triangle.
18^2 + 24^2 = 900
the square root of 900 is 30
I did the square root of 900 because the square root is the 'opposite' of squaring which is what you need to do in order to find 'c' is the Pythagorean theorem. 'a' is 18, and 'b' is 24
Answer is 30
Pls help me
With the hard math problem
Answer:
A) For the first 10 minutes, the train travels 4 miles.B) The train stops at two stations before it arrives at Springfield. The first station is 4 miles from Metro center. The second station is 8 miles from Metro center.C) The longest time the train travels without stopping is 10 minutes.D) It takes 20 minutes to get from Metro center to SpringfieldHoped this helped.
[tex]BrainiacUser[/tex]
Comparing Theater Sales
I need help A.S.A.P!!!
Step-by-step explanation:
oh come on ! you can see that with common sense : it is 2)
while the data itself is the same, but in figure B it is kind of suggested that "Super Cinema" had twice the sales of "Bud's Movies". which is not the case at all.
and that is one of the problems, when you don't show the whole data range (which happens when you don't start the data range at the actual beginning - like 0 in this case).
as I keep saying : never trust a statistic you have not falsified yourself ...
1. Calculate the mean, median, and mode of the following set of data. Round to the nearest tenth.
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
ANSWERS
A.
mean=6.7, median =7,mode=8
B.
mean=7.3, median =8,mode=1
C.
mean=7.3, median =7,mode=1
D.
mean=6.7,median =7,mode=1
Answer:
C.
Step-by-step explanation:
7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15
Write them in ascending order:
1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.
The mean = sum of the numbers / 11
= 80/77
= 7.3.
The median = the middle number
= 7.
The mode = the number which occurs most
= 1.
What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?
Answer:
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Calculate the slope of line m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line
m = [tex]\frac{-3-2}{0-(-2)}[/tex] = [tex]\frac{-5}{0+2}[/tex] = - [tex]\frac{5}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{2} }[/tex] = [tex]\frac{2}{5}[/tex] , then
y = [tex]\frac{2}{5}[/tex] x + c ← is the partial equation in slope- intercept form
To find c substitute (3, 2 ) into the partial equation
2 = [tex]\frac{6}{5}[/tex] + c ⇒ c = 2 - [tex]\frac{6}{5}[/tex] = [tex]\frac{4}{5}[/tex]
y = [tex]\frac{2}{5}[/tex] x + [tex]\frac{4}{5}[/tex] ← equation of perpendicular line
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
Answer:
162Step-by-step explanation:
There are 81 calories in a 0.75 cup serving of chicken noodle soup. How many calories are in a 2 cup serving?
0.75*2=2 cups
81*2=162
Answer:
x = 216
Step-by-step explanation:
[tex]\frac{81}{0.75}[/tex] = [tex]\frac{?}{2}[/tex]
I hope this helps!!
what are Two numbers that can add to 7 but multiply to -30
[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]
[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]
1. The last time Lola played
basketball, she made 84% of the free
throws she shot. Based on this
information, how many free throws
will Lola make if she shoots 50 free
throws this season?
A: 42
B: 34
C: 26
D: 17
Answer:
A) 42 is the correct answer, I just did .84 times 50 and that equals 42.
Step-by-step explanation:
If the cost of 6 sandwiches and 4 drinks is $53 how much is one drink
Answer: The cost of one drink is $5.30.
Explanation: 6 + 4 = 10, and 53/10 = 5.3, therefore the cost of one drink is $5.30.
Answer:
$5.30
Step-by-step explanation:
6 + 4 = 10
53 / 10 = 5.3
:)
Vasudevan invested rupees 60000 at an interest rate of 12% per annum compounded half yearly what amount would he get after 6 months?
Answer:
Fv = Pv(1 + i/m ) n×m
=60 000(1 + 0.12/2) 1×2
=60 000(1.06) ²
=60 000×1.1236
=67 416
hi please help, I can't understand.
If the sides of a rectangle with area 12cm² are (3x-2) and (x+1)
a)X-? b)P-?
[tex](3x - 2)(x + 1) = 12 \\ = > {3x}^{2} - 2x + 3x - 2 = 12 \\ = > {3x}^{2} + x - 2 = 12 \\ = > {3x}^{2} + x - 12 - 2 = 0 \\ = > {3x}^{2} + x - 14 = 0 \\ = > {3x}^{2} + 7x - 6x - 14 = 0 \\ = > x(3x + 7) - 2(3x + 7) = 0 \\ = > (x - 2)(3x + 7) = 0 \\ = > x = 2 \: \: \: or \: \: \: \frac{ - 7}{3} \\ [/tex]
But a negative number cannot be the side of a rectangle.So, x = 2 cmNow, length = (3x - 2) = (3 × 2 - 2) cm = (6 - 2) cm = 4 cmBreadth = (x + 1) = (2 + 1) cm = 3 cm.We know, perimeter of a rectangle = 2( length + breadth)Therefore, the perimeter of the rectangle[tex] = 2(4 + 3)cm \\ = 2 \times 7cm \\ = 14cm[/tex]
Answer:
The value of x is 2 cm and the perimeter of the rectangle is 14 cm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Solve the proportion
x/10=9/5
Answer:
X = 10*9/5
= 2*9
= 18
Answer = 18
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
First way (equivalent fractions):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]\frac{x}{10}=\frac{18}{10}[/tex]
[tex]x=18[/tex]
Second way (cross multiplication):
[tex]\frac{x}{10}=\frac{9}{5}[/tex]
[tex]5x=90[/tex]
[tex]x=18[/tex]
1,508 rounded to the nearest hundred
Answer:
1,500
Step-by-step explanation:
hope this helped!
Answer:
1500.
Step-by-step explanation:
The hundreds digit is the 5.
A the next digit ( the tens) is 0 ( < 5) it remains as 0 and the 8 becomes 0.
The number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011. The number of international tourist arrivals in Russia was k million more in 2012 than in 2011. What is the value of k to the nearest integer
The value of k to the nearest integer is 21
Let the number of international tourist arrivals in Russia in 2011 be kIf the number of international tourist arrivals in Russia in 2012 was 13.5% greater than in 2011 will be expressed as:
k = 24.7 - (13% of 24.7)
k = 24.7 - (0.135 * 24.7)
k = 24.7 - 3.3345
k = 21.3655
Hence the value of k to the nearest integer is 21
Learn more on decrement here: https://brainly.com/question/24304697
SOLVE FOR ASA
-GEOMETRY
Step-by-step explanation:
Hope It Helps You
Here You Answer
Please help! I highly appreciate it! :D
[tex]\huge \bf༆ Answer ༄[/tex]
Total surface Area of the cuboid is ~
[tex] \sf2(lb + bh + lh)[/tex][tex] \sf2[(12 \times 4) + (4 \times 5) + (12 \times 5)][/tex][tex] \sf2[48 + 20 + 60][/tex][tex] \sf2(128)[/tex][tex] \sf256 \: \: ft {}^{2} [/tex]Surface area = 256 ft^2
Surface area (SA) = Total area on the Surface only
SA of cuboid = Area of rectangle (2 sides) + Area of square (2 sides) + Area of other rectangle (2 sides)
SA = 2(12x5) + 2(4x5) + 2(12x4)
SA = 120 + 40 + 96
SA = 256 ft^2
WILL MARK BRAINLIST
What is the solution to this system of equations?
(I suggest using the elimination method by multiplying the first equation by 3.)
2x + y = 20
6x - 5y = -4
Points earned for putting your solution as an ordered pair. If work is shown, partial credit can be earned.
[tex]2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}[/tex]
Answer:
(x,y) = (6, 8); please give Brainliest if this helped you
Step-by-step explanation:
-453 divided by 15 = (simplest form)
Answer:
-453/15 = -30.2
Answer:
-30.2 or -30 1/5
Step-by-step explanation:
what is the 5th multiple of 6
Answer:
30
Step-by-step explanation:
What is 6, 5 five times?
Or 5x6?
What is 5 1/4 ➗ -2 1/2 equal to?
Answer:
-2.1
Step-by-step explanation:
Answer:
Hi, I hope i'll help you.
Step-by-step explanation:
The answer is 2.1, hope it helps!
simplify
answer it
b)
Answer:
a) 8x + 5x = 13x
b) 9f + 10f - 12f = 7f
Step-by-step explanation:
For part b, just solve from left to right normally, since adding and subtracting are inverse operations. (Inverse operation; meaning they are opposites of each other.)
So 9 + 10 = 19, and 19 - 12 = 7.
Hope this helps you :)
Step-by-step explanation:
(a) 8x + 5x = 13x....simplified
(b) 9f + 10f - 12f = 7f.....simplified
Hope it helps you!Find the value of x. (3 points each)
(2x + 1)
(x - 43)
A) 81
C) 80
B) 74
D) 86
Answer:
x+43[tex]1\frac{x}{y} 2[/tex]
Step-by-step explanation:
*FIRST PERSON TO GET IT RIGHT AND ANSWER FIRST GETS BRAINLIEST*
In an aquarium, there are starfish and octopi in a tank. The total number of animals in the tank is 30. The total number of legs in the tank is 171. Assuming that all animals have all their legs, find the number of each type of animal in the tank. (Starfish have 5 legs and Octopus have 8 legs)
(solve this using Elimination Method, MUST SHOW WORK)
Answer:
23 starfish, 7 octopi
Step-by-step explanation:
x=starfish
y=octopi
x+y=30
5x+8y=171
-5(x+y=30)
5x+8y=171
-5x-5y=-150
5x+8y=171
3y= 21
y=7
x+7=30
x=23
23 starfish, 7 octopi