Answer:
3
Step-by-step explanation:
step1 Isolate the square root on the left hand side
Original equation
√2x-5-4 = -x
Isolate
√2x-5 = 4-x
step2 eliminate the radical on the left hand side
Raise both sides to the second power
(√2x-5)2 = (4-x)2
After squaring
2x-5 = x2-8x+16
step3 Solve the quadratic equation
Rearranged equation
x2 - 10x + 21 = 0
This equation has two rational roots:
{x1, x2}={7, 3}
step4 Check that the first solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 7 for x
√2•(7)-5 = 4-(7)
Simplify
√9 = -3
Solution does not check
3 ≠ -3
step5 Check that the second solution is correct
Original equation, root isolated
√2x-5 = 4-x
Plug in 3 for x
√2•(3)-5 = 4-(3)
Simplify
√1 = 1
Solution checks !!
Solution is:
x = 3
Answer:
-3
Step-by-step explanation: i got it right on my test
IT IS 2AM AND ITS DUE IN LIKE AN HOUR PLEASE HELP
Simplify: [5×(25)^n+1 - 25 × (5)^2n]/[5×(5)^2n+3 - (25)^n+1]
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
50 pts
A cube has a volume of 73 cubic centimeters. What is its surface area in
square centimeters?
Just type the number of the answer.
find the value of :[5x+y+z][5x+y+z][5x+y+z]
Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
hjjhhhhhhjjjjjjjjhjjhhhhh hhhhhj h
Answer:
YASSSSSSSS
Step-by-step explanation:
Answer:
dnbdjdndh hdhdhbdjf
xnxnxnnxnxnfnf
ndndndndjf
Graph the following features:
Y-intercept = -2
Slope = 1
Answer:
Follow the steps below!
Step-by-step explanation:
If you're provided with a graph then use that, but if not, draw it with a scale of 1 unit per 1 tick and all four quadrants.
Start at -2 on your y-axis (two ticks down from the origin the vertical line) and draw a dot or cross. Then, go to the right one tick and up one tick and draw another dot or cross. If you do this again, you should have made a mark on the x-axis (horizontal line). All you need to do is draw a straight line connecting the points you plotted with arrows on the end. You can use a ruler or other straight edge if straight lines are a challenge to draw.
Which of the following best describes the line passing through (0, 1) with a slope of
-1/2?
Answer:
I would say A,B, or D
Step-by-step explanation:
8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20. Find the cost of 1 kg of each item.
also give the explanation.
Answer:
Step-by-step explanation:
Cost of 1 kg of Potatoes = $ 2
Cost of 1 kg of Carrots = $ 2.40
Let the cost of 1 kg of Potatoes = x
Let the cost of 1 kg of Carrots = y
ATQ , 8x + 5y = 28 - 1)
2x + 3y = 11.20 - 2)
Multiplying 2) by 4
8x + 12y = 44.80 - 3)
Applying Elimination method in 1) and 3)
8x + 5y = 28.00
8x + 12y = 44.80
0 + -7y = - 16.80
y = 16.8/7
y = 2.4
Putting the value of "y" in 1)
8x + 5(2.4) = 28
8x + 12 = 28
8x = 16
x = 16/8
x = 2
plz help....................
[tex]x + 18 = 54 \\ = > x = 54 - 18 \\ = > x = 36[/tex]
Answer:Option A. x = 36
Hope it helps
ray4918 here to help.
_____________
[tex] \: [/tex]
Step by step :x + 18 = 54
x = 54 - 18
x = 36✔ (A.)
Where did we get one?
Answer:
The -1 came from factoring.
The equation is multiplied by 8 because 8 could be pulled from 16x-8.
16 can be divided by 8 2 times and 8 can only divided by 8 once.
so factoring it makes the equation 8(2x-1)
50 POINT QUESTION!!!!
f(x)=12x^(2)+4x-5
find the zeroes of the function...
Answer is in picture below
:)
Real answers and explanations ONLY! I’ll name you brainiest if correct
Answer:
1/10⁶ or 0.000001Step-by-step explanation:
For every time you have a probability of getting 1 is:
P(1) = 1/10For all 6, the probability of outcome of 1 is:
P(1x6) = (1/10)⁶ = 0.000001Probability of 1
P(1)=1/10Probability of 6
P(1×6)
(1/10⁶)10^{-6}20 × 4¹² / 4⁷ × 4⁹
please answerrrrrrr
Answer:
The answer is 5,368,709,120
find the 10th and 21st terms of -3,1,5,9
Answer:
33, 77
Step-by-step explanation:
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
Answer:
The 10th Term is; 33.
The 21st Term is; 77
Step-by-step explanation:
You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.
-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77
Which expression(s) are equivalent to -12.48 Show me how to do it pls
-416 x 0.3.
-3 x 41.6.
-4.16 x 3
All of the above
Answer:
C. -4.16 x 3Step-by-step explanation:
Find the values of expressions and compare with -12.48:
-416 * 0.3 = -124.8 ≠ -12.48, No-3 * 41.6 = -124.8 ≠ -12.48, No-4.16 * 3 = - 12.48, Yes#1
-416(0.3)-12.48Yes
#2
-3(41.6)-124.8No
#3
-4.16(3)-12.48Yes
Twelve boys collected 16 aluminum cans each. Fifteen girls collected 14 aluminum cans each. How many more cans did the girls collect than the boys
Answer:
18
Step-by-step explanation:
The boys collected:
12 · 16 = 192
The girls collected:
15 · 14 = 210
So the girls collected 18 more cans more than the boys.
(Integers calculation)
An oil tanker can be emptied by the main pump in 5 hours. An auxiliary pump can empty the tanker in 7 hours. If the main pump is started at 7 PM, when should the auxiliary pump be started so that the tanker is emptied by PM?
Suppose you have entered 103 -mile biathlon that consists of a run and a bicycle race. During your run, your average velocity is 5 miles per hour, and during your bicycle race, your average velocity is26 miles per hour. You finish the race in 8 hours. What is the distance of the run? What is the distance of the bicycle race?
Answer:
so the answer will be 1
Step-by-step explanation:
An oil tanker can be emptied by the main pump in 5 hours.
An auxilary pump can empty the tanker in 14 hours.
If the main pump is started at 7pm, when should the auxilary pump be started
so that the tanker is emptied by 11pm?
:
Let t = no. of hrs to run the Aux pump
:
The main pump will run 4 hr (7 - 11 pm)
:
Let the completed job = 1; (an empty Tanker)
:
The shared work equation
4%2F5 + t%2F14 = 1
Multiply equation by 70 to get rid of the equation, results:
14(4) + 5t = 70
56 + 5t = 70
5t = 70 - 56
5t = 14
t = 14%2F5
t = 2.8 hrs to run the aux pump
:
2.8 hr = 2 + .8(60) = 2 hrs 48 min
:
Subtract 2:48 from 11:00 = 8:12 PM start the aux pump
;
;
Check solution
4/5 + 2.8/14 =
.8 + .2 = 1
99999999999999999+99999999999999
Answer:
1.001e+17
Step-by-step explanation:
I don’t get this question at all
Answer:
-12
Step-by-step explanation:
Answer:
-8(-4+x)
Step-by-step explanation:
This is because the value of all the numbers never changes. Because
"-8(x-4)= -8x+32" and "-8(-4+x)= 32-8x" are equal, this would be the only correct answer.
Hope this helps! :)
The difference between 13 and a number is 4 more than twice the number
Answer: 3
Step-by-step explanation:
Let the number be 'a'.
Since the difference between 13 and a number is 4 more than twice the number, then 13 - a = 2a + 4
⇒ 13 - a = 2a + 4
2a + a = 13 - 4
3 a = 9
a = 3
∴ the number is 3The function f(x)= 3x + x2 + 2x rises as x grows very small. As x goes to negative
infinity, f(x) goes to infinity.
True
False
Answer:
.
Step-by-step explanation:
3x + x^2 + 2x
= x^2 + 5x
As x goes to negative infinity,
x^2 is always positive and will be higher than 5x as x increases so
f(x) goes to infinity
How many people have to buy tickets for the two companies to have the same price?
y=22x+10
y=25x+4
4.
Is the relationship shown by the data linear? If so, model the data with an equation.
A. The relationship is linear; y + 2= -5/4(x + 9).
B. The relationship is not linear.
C. The relationship is linear; y + 2= 4/5(x + 9).
D. The relationship is linear; y + 9= -4/5(x + 2).
Answer:
D. The relationship is linear; y + 9= -4/5(x + 2).
Step-by-step explanation:
yes its linear because the x values increase by a constant value 4 and the y values by a constant value -5.
one general form for a linear equation is
y - y1 = m(x - x1) m = slope and (x1,y1) is a point on the line
from the data the slope iis (-7-(-2)) / (-5-(-9) = -5 / 4
so using the point (3, -17):-
y - (-17) = (-5/4) ( x - 3)
y + 17 = -5x/4 + 15/4
4y + 68 = -5x + 15
4y = -5x - 53
thats the equation of the line
A caterer will provide the meal for the football banquet. The caterer charges a base fee of $400 plus $6 per plate.
A. Write an equation for the function where y represents the total cost and x represents the number of guests.
B. What does the slope mean in this situation?
C. What does the y-intercept mean?
Answer: y = 6x + 400
slope = the increase in cost per extra plate
y-intercept = total cost
help plssssssssssssssssssssssssssssssssssssz
Answer:
2x+y=-10
Step-by-step explanation:
Can someone tell me the answer to this?
Answer choice B is incorrect
Answer:
B) or C)
Step-by-step explanation:
what is the sum of the interior angles of an equilateral triangle?
Answer:
180°is the sum of the interior angles of an equilateral triangle
How can data be represented?
Data can be represented in tables, charts, and graphs.
May I please receive help?
Answer:
Line 1 and 2 are neither
Line 1 and 3 are parallel
Line 2 and 3 are neither
Step-by-step explanation:
y = ⅗x -6
10x-6y=6
5y=3x+6
-6y= -10x + 6
y= -10/-6x +6
y= 5/3x+6
5y= 3x+6
y=⅗x+6
The slope of a line is 0, and the y-intercept is 6. What is the equation of the line written in slope-intercept form?
A. Y = x + 6
B. Y = 6x
C. Y= 6
Answer:
C
Step-by-step explanation:
slope('m") = 0 y-intersect ("b") = 6
y= mx + b
y = 0x + 6
y = 6