Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)
Answer:
(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Step-by-step explanation:
To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)
You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price
Answer: Look below
Step-by-step explanation:
10% = $120.90
1% = $12.09
11% = $132.99
$1,209 + $132.99 = $1,341.99
She made a $132.99 profit or $1,341.99
—————————————————————
8% = 96.72
$1,341.99 - $96.72 = $1245.27
————————————————
Or if it is $96.72 off the price she bought it then it would be
$1,209 - $96.72 = $1,112.28
describe the transformation
Answer: f(x)= Vertical stretch by a factor of 3, vertical translation down 1.
g(x)= Vertical compression by a factor of 1/3, vertical translation down 1.
Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 15 hours at the grocery store and 6 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?
Answer:
In total she works 21 hours and for the equation its gn=g+n
Step-by-step explanation:
got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works
PLEASE HELP THIS IS A FINAL AND IM SO CONFUSED!!!!
Answer:
C
Step-by-step explanation:
yeah-ya............... right?
find the slope of the line that contains each pair of points -9,-5 and 6,-5
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
help, please!! please have a small explanation
Answer:
18
Step-by-step explanation:
63/7 = 9
Reduction factor is 9
2x9 = 18
x = 18
Hope that helps
Answer:
x = 18
Step-by-step explanation:
63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too
2 times 9 is 18
x=18
HELP ME PLEASE GUYS! :)
y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).
y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).
The correct graph is Graph A.
Hope this helps! :)
In the equation, 6x - 2y = 11, what is the slope?
1 – 2x + 3y for when X = – 2 and y = – 5
Answer:
-12
Step-by-step explanation:
1-2x+3y
1-2(-2)+ 3(-5)
1-4-9
= -12
Can u help me with these plss
Answer: 40BC and 766AD
Step-by-step explanation:
please help brainliest if correct and best explanation
Answer: 120
Step-by-step explanation:
first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis
An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices
a 3[sin (130 + 15)] t
b 3[sin (45 + 45)] t
c 3[sin (180 - 45)] t
d 3[sin (90 + 60)] t
The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Since the alternating current i in amperes after t seconds is i = 3(sin150)t.
We want to write 150 as the sum of two angles measures.
So, 150 = 90 + 60.
So, the current i = 3(sin150)t
i = 3[sin(90 + 60)]t
So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t
Learn more about sum of two angles here:
https://brainly.com/question/16560125
Find the solution
Y = -3x - 5
If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.
The value of ab^2 in simplified form is -1
Given the following expressions:
a = 4xb = 5iWe are to evaluate the expression [tex]ab^2[/tex]
Substitute the given parameters into the formula to have:
[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]
Hence the value of ab^2 in simplified form is -100x
Learn more on exponential functions here: https://brainly.com/question/12940982
12x(8x-20)÷4(2x-5) please solve it
Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x
hopes this helps
PLEASE HELP ME!!! GIVING BRAINLIEST
Answer:
The correct answer is A
Step-by-step explanation:
hope it will help you
y = 5x + 1
Table down below
Help!
Answer:
Answers below
Step-by-step explanation:
-32 -> -7.4
0 -> 1
20 -> 5
#1
Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197
Please help will mark as brainliest
Will report if any links
Answer:
= 188, x = 7.89, s = 2.23
Step-by-step explanation:
= 188, x = 7.89, s = 2.23
guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points
Answer:
find the perpendicular of the angle of pole
(50 x 40 / 4 + 20) + (50 / 2 + 25) =
Answer:
= 570
Step-by-step explanation:
Priority in order:
BracketX and /+ and -(50 x 40 / 4 + 20) + (50 / 2 + 25)
= (2000 / 4 + 20) + ( 25 + 25)
= ( 500 + 20) + ( 50 )
= ( 520 ) + 50
= 520 + 50
= 570
On the most recent math test, Ashley
answered 23 of the questions
correctly. If she scored 92%, how
many questions were on the test?
Answer:
25 questions total
Step-by-step explanation:
I hope this helps!
Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)
Answer:
y= 2/3x+8
Step-by-step explanation:
you add 10 to both sides then combine -2 with 10 to get 8
then 1x times 2/3 is 2/3x and -3 times 2/3 is -2
what’s the distance between 4 and 20
Answer:
16
Step-by-step explanation:
The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)
pls help meeeeeeeeeeee
Answer:
b=22/15 or 1.46 repeating
Step-by-step explanation:
i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it
Answer:
96.52 cm
Step-by-step explanation:
Your teacher is incorrect, probably telling you this to avoid you wasting time
Answer:
96.52 cm
Step-by-step explanation:
1 inch is 2.54 cm
so 38 inch will be 2.54*38
96.52 cm
please someone help me quickkkkk
Answer: B
Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.
The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.
HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.
Now, let's insert our values into the equation y = mx + b. That would be:
y = -2x + 3 which is B and therefore our answer
Help me..What is the length of the missing leg? If necessary, round to the nearest tenth.
Answer:
27
Step-by-step explanation:
The triangle shown is a right triangle, indicated by the little square at the bottom right. When trying to find the length of a missing leg of a right triangle we can use the Pythagorean theorem.
Pythagorean theorem : a² + b² = c²
Where a and b = legs and c = hypotenuse ( longest side )
We are given the length of the hypotenuse as well as a leg and we need to find the other leg.
Hypotenuse (c) = 45
Leg (a) = 36
To find the length of the other leg we can plug in the given values of the hypotenuse and the leg into the Pythagorean theorem and solve for b
Recall the Pythagorean theorem : a² + b² = c²
a = 36 and c = 45
(36)² + b² = (45)²
simplify exponents : 36² = 1296 and 45² = 2025
1296 + b² = 2025
subtract 1296 from both sides: 1296 - 1296 cancels out and 2025 - 1296 = 729
b² = 729
take the square root of both sides: √(b)² = b and √729 = 27
We're left with b = 27 meaning that the length of the other leg ( or missing side ) is 27
find the measure of each variable
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°