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]
HELP!!
Select the correct answer.
Scientists studying biodiversity of amphibians in a rain forest have discovered that the number of species is decreasing by 2% per year. There are currently 74 species of amphibians in the rain forest. Which logarithmic function models the time, , in years, it will take the number of species to decrease to a value of n?
Answer:
Option A: f(x) = log_0.98 (n/74)
Step-by-step explanation:
We are told that that the number of species is decreasing by 2% per year.
Thus, number of species each year is 98% or 0.98 of number of species the previous year. .
We are told that there are currently 74 species of amphibians in the rain forest.
Thus, n/74 will represent a fraction of the current number of species.
Thus, the logarithmic function that models the time can be written as;
f(x) = log_0.98 (n/74)
Answer:
A. f(n) = log0.98(n/74)
(got it right on edmentum)
for your assurance please look at the picture below↓Find the slope of the line passing through the two points.
(12, 1), (36, 42)
Answer:
m=41/24
Step-by-step explanation:
The slope of the line passing through the points (12, 1), (36, 42) is m=41/24.
To find slope, we need to use the slope formula*.
42 - 1/36 -12 = 41/24
m = 41/24
What is the binary number for 15
Answer:
111
Step-by-step explanation:
notice that 1000 in binary is 16, as 1000 in binary would be 2^4 = 16. If you subtract 1 from 1000 in binary, you get 111.
If this helped please give brainliest.
who good with graphs
what is this?? i’ve been stuck on this for so long.
Answer:
i say ACD
Step-by-step explanation:
quadrilaterals are shapes with 4 sides.
parallelograms are shapes that have parallel sides.
Answer:
the answer is rhombus and rectangles
Step-by-step explanation:
Need a step by step explanation please,very confused!
First, you would subtract the x from both sides to get -4y=8-x. Then you divide by -4 to get y=-2+1/4x. You rearrange your answer to get y=1/4x-2. Then you would graph starting at negative two on the y-axis, or the vertical line, and then go up 1 and over 4 to draw the next dot. Hope this helps!
Answer:
this is it
Step-by-step explanation:
i hope it doesn't crop out and that it helps
Shawna is saving money to buy a new laptop. She starts her savings with $64. Each week, she adds another $17 to her savings. Graph the relationship that models the amount of money Shawna is saving. If her laptop costs $589, after how many weeks will she be able to afford the laptop?
Answer:
4 weeks
Step-by-step explanation:
x²-7=0 extracting square roots
Answer:
x = ± [tex]\sqrt{7}[/tex]
Step-by-step explanation:
Given
x² - 7 = 0 ( add 7 to both sides )
x² = 7 ( take the square root of both sides )
x = ± [tex]\sqrt{7}[/tex]
PLEASE ITS ALREADY LATE AND I NEED TO TURN IT TODAY
Example 1 Fatima works as an intern at a construction company earning $10 per hour. Her office is open 8
hours per day, 5 days a week. Analyze Fatima's potential earnings for the 12 weeks she interns at the
company this summer.
A. Write a function rule to model
the situation
B. Identify the independent
variable
C. Identify the dependent
variable
f(x) =
Answer:
4800
Step-by-step explanation:
I attached a picture of the work.
We need to made a function that will help us solve this
f(x)=dx; d = $ per hour, x = # of hours
step 1) identify d (in this case, the money made per hour) which = 10
f(x)=10x
step 2) identify x (# of hours total) which = 480
f(x)=10(480)
step 3) solve the equation
f(x)=4800
independent variable:
the number of hours
dependant variable:
the amount of money made after 12 weeks
Can somebody please help me solve problem 16 .
Answer:
i think it`s $35
Step-by-step explanation:
Because 80 divided by 2 = 40 and the problem says to subtract 5 so I believe the answer is $35.
Write an
equation for the line in the given form.
slope is -3 and (6,8) is on the line; standard form
Yo
Answer:
Step-by-step explanation:
Negative3 is6,8
Answer:
Negative3 is6,8
Step-by-step explanation:
i know it
Felicia ran a 4-mile race in 28 minutes. Complete the table to represent Felicia’s average rate of speed during the race.
Answer:
she runs an average 1mile every 7 minutes
Step-by-step explanation:
sorry if this does not help if this is not what u r looking for maybe clarify
hope this helps also i don't see where the chart is for the question
Mr. Ash owns a tree, which is 42 feet tall. He estimates that this tree is 75% as tall now as it will be when fully grown. How tall will the tree be when it is fully grown?
Answer:
73.5 feet
Step-by-step explanation:
The length of a tree =42 feet
Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.
We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :
[tex]T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft[/tex]
So, the tree will be 73.5 feet tall when it is fully grown.
Help me out pleaseeeeee
Answer:
A
Step-by-step explanation:
LCM of 5 and 3 is 15
thus, denominator is 15
2/5 = 2x3/5x3 = 6/15
1/3 = 1x5/3x5 = 5/15
Is 7.165 a rational number?
Answer:
yes it is rational
Which of the following relations has a domain of {-4, -2, 1}?
Group of answer choices
{(1, 2), (-2, 3), (4, 6)}
{(1, 2), (-2, 2), (-2, 4), (-4, 4)}
None of the other answers are correct
{(-1, 2), (4, 3), (-2, 6), (-2, 3)}
{(1, 2), (-2, 2), (-2, 4), (4, -4)}
Answer:
{(1, 2), (-2, 2), (-2, 4), (-4, 4)}
Step-by-step explanation:
Plz mark as Brainliest!
Trigonometry ( help a girl out)
Resolving Vectors
Find the components of a car’s displacement if it travels 250 miles at an angle of 45 degrees north of west.
Answer:
4.587
Step-by-step explanation:
∆CDE is an isosceles triangle with CD ≅ DE . If CD = 9x – 25, DE = 6x + 8, and CE = 10x – 73, find x
Answer:Answer: The value of x is 11 and the measure of each sides are, 74 cm,74 cm and 37 cm. Explanation: It is given that in triangle CDE is an isosceles triangle with CD congruent to DE. If CD equals 9x - 25, DE equals 6X + 8, CE equals 10 x - 73.
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
The rectangle below has an area of 12y^2+21y^512y 2 +21y 5 12, y, squared, plus, 21, y, start superscript, 5, end superscript. The width of the rectangle is equal to the greatest common monomial factor of 12y^212y 2 12, y, squared and 21y^521y 5 21, y, start superscript, 5, end superscript. What is the length and width of the rectangle? \text{Width} =Width=start text, W, i, d, t, h, end text, equals
Answer:
This means that the width = 3y²
The length = 4y+7y³
Step-by-step explanation:
Given
Area of the rectangle = 12y^2+21y^5
Width of the rectangle is the greatest common monomial of 12y^2 and 21y^5
First let us get the greatest common monomial of 12y^2 and 1^5
12y^2 = (3 * y * y) * 4
21y^5 = (3 * y*y)*y*y*y* 7
Hence the greatest common monomial is 3 * y * y = 3y²
Factor out 3y² from the area function;
12y^2+21y^5
3y² (4y+7y³) = Area of the rectangle
Length * Width = 3y² (4y+7y³)
On comparing both sides of the equation
This means that the width = 3y²
The length = 4y+7y³
Answer:
4y^2
Step-by-step explanation:
Monica weighed 135 pounds before she started a 3 week diet for her cruise. She lost 18 pounds in the first 2 weeks then gained 5 pounds back the last week. Choose the answer below that correctly identifies how much Monica weighed when she left for her cruise.
A.
112 pounds
B.
104 pounds
C.
140 pounds
D.
122 pounds
Answer:
D.
Step-by-step explanation:
135 - 18 = 117 + 5 = 122
Answer:
D. 122 pounds
Step-by-step explanation:
135-18=117
117+5=122
Which subtraction expression
has the difference 1 + 4i?
O (-2+ 6i) - (1 - 2i)
O (-2+ 6i) - (1 - 2i)
O (3 + 5i) - (2 - i)
O (3 + 5i) - (2 + i)
Answer: d, (3+5i)-(2+i)
Step-by-step explanation:
i’m smart
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Option D is the correct answer.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We can find the difference 1 + 4i by subtracting the complex numbers in each expression and checking which one gives us the result of 1 + 4i.
Let's start with option (a):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
This is not equal to 1 + 4i, so option (a) is not the correct answer.
Let's move on to option (b):
(-2 + 6i) - (1 - 2i) = -2 + 6i - 1 + 2i = -3 + 8i
We have already seen this expression and it is not equal to 1 + 4i. Therefore, option (b) is also not the correct answer.
Let's move on to option (c):
(3 + 5i) - (2 - i) = 3 + 5i - 2 + i = 1 + 6i
This is not equal to 1 + 4i, so option (c) is not the correct answer.
Finally, we have the option (d):
(3 + 5i) - (2 + i) = 3 + 5i - 2 - i = 1 + 4i
This is equal to 1 + 4i.
Thus,
The subtraction expression that has the difference 1 + 4i is (3 + 5i) - (2 + i).
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ7
WILL GIVE 75 POINTS & SEND $10 ON CASHAPP!
What is the constant of proportionality for each situation below and what does it mean?
First y = 1.5x
Second:
y
= 7/4x
оа
Ob
First: 1.5 cups of flour per cup of sugar Second: 7/4 cups of flour per cup of sugar
First: 5 cups of flour per cup of sugar Second: 4 cups of flour per cup of sugar
First: 1 cups of flour per cup of sugar Second: 7.4 cups of flour per cup of sugar
Question 5 (2 points)
Answer:
What is the question tell me clearly.
Step-by-step explanation:
Witch graph represents the equation
-3x+4y=-12
Answer:
Of the ones you are showing us, C is the only answer with -4 being the y-int
Answer:
C is the correct graph
Step-by-step explanation:
The slope is 3/4
x l y
0 l -3
4 l 0
Help plz:))) I’ll mark u brainliest
P(-2, -3) and Q(2, 7)
Answer:
The slope is 10/4
Step-by-step explanation:
the product of two consecutive integers is 72. find the integers
Answer:
the integers are 8 and 9
Step-by-step explanation:
consecutive means one right after the other. 9 is right after 8. and its product is 72, well 8x9 is 72.
Solve this problem 48-2(8+2)
If x + 12 = 40,
what is the value of x + 7
please help
Please help i need submit it in 10 mins! show work! i will mark brainliest!
Answer:
C and D is the answer.
Step-by-step explanation:
If m∠5 = x°, according to the Corresponding Angle Theorem, m∠9 will equal the same, and because 9 and 12 are vertical angles, both of these will be the same measure.
- 9j + -11 = 61
What is this?
Answer:
j= - 8Step-by-step explanation:
- 9j + -11 = 61
-9j = 61 + 11
-9j = 72
j = - 8