Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry
After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis
Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?
Answer:
a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.
Step-by-step explanation:
a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:
[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]
[tex]x = \frac{5}{6}\,L[/tex]
A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) En primer lugar calculamos la fracción correspondiente a cuatro personas:
[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]
[tex]x = \frac{5}{8}\,L[/tex]
Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:
[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]
[tex]\Delta x = \frac{40-30}{48} \,L[/tex]
[tex]\Delta x = \frac{10}{48}\,L[/tex]
[tex]\Delta x = \frac{5}{24}\,L[/tex]
Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.
can someone help me with thiss?
Answer:
Step-by-step explanation:
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
i need help!!!!!!!!!!!
Answer:
Step-by-step explanation:
g-(3,3)
h-(-5,3)
j- (5,-5)
Plz name me brainliest
a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width of the actual park in yards
Answer:
I think the width would be 150 yd
Step-by-step explanation:
just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Answer:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Step-by-step explanation:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Question 2 (Multiple Choice Worth 4 points)
In which expression should the exponents be multiplied?
6
0 0
o
99
94
073.78
O (26)-5
Answer:
No pic or question.
Step-by-step explanation:
Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(
Answer:
ummm well that hard let me solve it real quick
Step-by-step explanation:
:/
Triangles ABC and DEF are similar. Find e.
A.) 11
B.) 12
C.) 10
D.) 9
Answer:
C) 10
Step-by-step explanation:
The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.
Hope this helps you :)
y=−2x+9 write in standard form
Answer:
2 x − y = − 9
Step-by-step explanation:
I am not 100% sure but I think this is right.
Answer:
Step-by-step explanation:
2x+y=9
plz help I'll give brainest
Answer:
B
Step-by-step explanation:
absolute value is 2½
hope it helped
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.
Answer: Let n be the number of nickel
s, d be the number of dimes, and p be the number of pennies.
Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
I need the answer can someone please help me!!
Answer:
13.5 units^2
27/2 units^2
Step-by-step explanation:
multiply 27/5 and 5/2
the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2
Please help !!! I don't understand
Answer:
P=160+6x
Q=x+40
H=4x-5
P+Q+H=180...P=61.82
Please help look at the picture
Answer:
The correct answer would be D
What is the answer to each problem? Please hurry :)
I will give Brainlest to whoever answers correctly, thank you.
Answer:
Step-by-step explanation:
Clue #6 is -5/4 (first option)
Clue #7 is 1/8 (second option)
Clue #8 is -7/6 (first option)
Clue #9 is -10/7 (last option)
Clue #10 is 10 (last option)
Help me with the geometry work
Answer:
Step-by-step explanation:
The thing you have to realize is that the diagonals of a parallelogram bisect each other. So DF = BF. With that fact, you get
4y + 19 = 10y - 11 Add 11 to both sides
4y+19+11 = 10y-11+11 Combine
4y + 30 = 10y Subtract 4y
4y-4y +30 = 10y - 4y Combine
30 = 6y Divide by 6
y = 30/6
y = 5
if
[tex]f(x) = \sqrt{x} + 12[/tex]
and
[tex]g(x) = 2 \sqrt{x} [/tex]
what is the value of
[tex](f - g)(144)[/tex]
?
Answer:
0
Step-by-step explanation:
We have the two functions:
[tex]f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}[/tex]
And we want to find (f-g)(144).
This is the same thing to f(144)-g(144).
So, let’s determine the value of f(144) and g(144) first:
[tex]\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}[/tex]
And:
[tex]\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}[/tex]
Hence:
[tex]\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}[/tex]
Our final answer is 0.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex](f - g)(x) = \sqrt{x} + 12 - 2 \sqrt{x} \\ [/tex]
[tex](f - g)(x) = - \sqrt{x} + 12[/tex]
[tex](f - g)(144) = - \sqrt{144} + 12[/tex]
[tex](f - g)(144) = - \sqrt{ {12}^{2} } + 12 [/tex]
[tex](f - g)(144) = - (12) + 12[/tex]
[tex](f - g)(144) = - 12 + 12[/tex]
[tex](f - g)(144) = 0[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the solution of the equation modeled below?
Answer:
3x+4=7x-8
Step-by-step explanation:
hoped it helped..
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
what is the slope of the line that passes through the points (2,1) and (17,-17)
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
don't guess!! pls help!!
THERE'S 4 IMAGES.
Answer:
pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2
Step-by-step explanation:
What is the square root of 40000 step by step
Thx for everything that answers
The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer
What is the slope of the line?
Answer:
1
Step-by-step explanation:
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
what is the x variable and y variable?
Answer:
x is the hours worked and y is the money earned
Step-by-step explanation:
Usually the x variable is the independent variable
The independent variable is the variable that does not rely on anything
The y variable is the dependent variable
The dependent variable is the variable that relies on the independent variable
In this case the money earned depends on how many hours you work for
I hope this helps :)
Answer:
I believe that it would be x is hours worked and y is dollars earned but I could be wrong I skipped a year of math because I completed it so quickly now I cant remember some stuff