Answer:
[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]
Step-by-step explanation:
Simplify each term.
The rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
To rationalize the denominator and simplify the expression (√a + 2√y) / (√a - 2√y), we can use a technique called rationalizing the denominator.
First, we multiply both the numerator and denominator by the conjugate of the denominator, which is (√a + 2√y). This is done to eliminate the square root in the denominator.
(√a + 2√y) / (√a - 2√y) * (√a + 2√y) / (√a + 2√y)
Expanding the numerator and denominator:
(√a * √a) + (√a * 2√y) + (2√y * √a) + (2√y * 2√y) / ((√a * √a) - (√a * 2√y) + (2√y * √a) - (2√y * 2√y))
Simplifying:
a + 2√ay + 2√ay + 4y / (a - 2√ay + 2√ay - 4y)
Combining like terms:
a + 4√ay + 4y / (a - 4y)
Therefore, the rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
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A factory inspector found 3 defective microchips out of a total of 750
microchips made. Which proportion can be used to predict the number of
defects, x, in a batch of 10,000 microchips?
Answer:
Option B
Step-by-step explanation:
Proportion of number of defective pieces to the number of microchips in a batch can be represented by the ratio = [tex]\frac{\text{Number of microchips not in good condition}}{\text{Total numbers of microchips}}[/tex]
If 3 microchips are defective in a batch of 750 microchips,
Proportion = [tex]\frac{3}{750}[/tex]
If 'x' chips are defective in a batch of 10000 microchips,
Proportion = [tex]\frac{x}{10000}[/tex]
If both the proportions are equal,
[tex]\frac{3}{750}=\frac{x}{10000}[/tex]
Therefore, Option B will be the answer.
How many ways are there to fill the four committee positions?
Answer:
3 ways
Step-by-step explanation:
since the lowest # of people interested in a position is 3, there can only be 3 different ways to fill an entire 4-person committee
The graph shows the proportional relationship between the side lengths of a square and its perimeter. Which equation shows the same relationship between the side length and the perimeter of a square? Perimeter of Square P. 32 28 24 P 15 Perimeter (inches) 20 16 12 P1 8 0 2 4 6 8 Side Length (inches) P 418
Answer:
y=4x
Step-by-step explanation:
Write the equation of linear function
Substitute:
Multiply the monomials:
Rearrange unknown terms to the left side of the equation:
Reduce the greatest common factor on both sides of the equation:
Rearrange unknown terms to the left side of the equation:
Divide both sides of the equation by the coefficient of variable:
Substitute one unknown quantity into the elimination:
Solve the equation: m=4
Write the solution set of the equations:
Substitute: y=4x
Answer: y=4x
The marked price of an article is Rs 400. If 5% discount is allowed, how much should
be paid for it?
Answer:
Rs.380
Step-by-step explanation:
Given data
Price= Rs 400.
Discount= 5%
Let us find the amount of the discount
=5/100*400
=0.05*400
=Rs. 20
Hence the amount that should be paid for it is
=400-20
=Rs.380
Write six hundred seventeen thousand two hundred five in scientific notation.
A. 6.1720x 10^4
B. 6.17205x 10^5
C. 6.17205x 10^-5
D. 6.17x 10^6
HELPP!! PLS PLS
can someone show me a graph of a line going through (-1,2) with a slope of -3/4
Answer:
We can start at the given point (-1, 2) and move down 3 units and right 4 units to plot the next point. Repeat this for however long you want the line to be.
Hope this helps!
Here is the diagram:
What is the vertex of the quadratic function y=-x²+6x+7?
Answer:
(3,16)
Step-by-step explanation:
Factor the equation to find out that the roots are 7 and -1. The vertex's x will be in the center of these two points, so the center point between 7 and -1 is 3. Continue to substitute the x in the equation with 3 to get the other coordinate for vertex.
14) When did the high temperature occur?
Please help
Answer:
D; 15
Step-by-step explanation:
Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).
find the value of x HELP PLS
Answer:
x= 36
Step-by-step explanation:
both angles together are supplementary and will form 180
Therefore, you know the missing angle can be found by substracting 108 from 180
180 - 108 = 72
72 = 2x
Answer:
36°
Step-by-step explanation:
2x+108°=180°
2x=72°
x=36°
Which algebraic expression below represents four multiplied by a number?
A. 4 – x
B. x + 4
C. 4x
D.
Answer:
Step-by-step explanation:
option c is correct
product of two numbers can be written as 4x
What is the simplified form of 4 X ? 3 + 7?
Answer:
4x(10)
Step-by-step explanation:
add 3+7=10
4x is multiplying 3+7=10
4x(10)
1 2/3 -2/9st step by step
Answer:
stay safe healthy and happy...Which of these numbers is composite? Choose 1 answer: Choose 1 answer: (Choice A) A 3 (Choice B) B 23 (Choice C) C 29 (Choice D) D 41 (Choice E) E 87
Answer:
e) 87
Step-by-step explanation:
Required
Select the composite number
A composite number is such that: they have more than 2 factors
Factorizing each of the given numbers, we have:
[tex](a)\ 3 = 1 * 3[/tex]
[tex](b)\ 23 = 1 * 23[/tex]
[tex](c)\ 29 = 1 * 29[/tex]
[tex](d)\ 41 = 1 * 41\\[/tex]
[tex](e)\ 87 = 1 * 3 * 29[/tex]
Only (e) has more than 2 factors. Hence (e) is composite
SOMEONE PLEASE HELP ME ASAP WITH THIS AND SHOW WORK
Instructions: Find the missing angle measures in the given rhombus.
A company determined it could use equation y = -25/3x + 250,000 to predict its total number of customers, y, based on the number of days x. What is the meaning of the slop of this function
Answer:
The slope is meant to show the relationship between the x(number of days) variable and the y (total number of customers) variable.
When the number is positive, it means that both x and y move in the same direction which means that as x increases, so does y.
When this number is negative, it means that hen x increases, y decreases.
In this scenario therefore, as the number of days increases, the total number of customers decreases.
Need helppp........!!!!!!!!!!
What is the slope of (5,10)and (7,18)
Step-by-step explanation:
slope = 4
[tex] \frac{18 - 10}{7 - 5} [/tex]
which is
[tex] \frac{8}{2} [/tex]
which is 4
look at the photo and solve what goes in the boxes that say choose.
Answer:
120
Step-by-step explanation:
Split up the boxes to help you achieve the answer.
What is the perimeter?
PLEASE HELPP !!
Mona can walk from home to school following the roads, or she can cut across a
footpath as shown in the diagram below. Along the roads she walks 600 meters
east and 800 meters south.
how many meters less does she walk by cutting across the foot path?
Answer:
Step-by-step explanation:
are about 2.5 meters above
Christopher rides his bike to and from school every day. The total distance he
rides each day is I mile.
What is the total number of miles that Christopher rides his bike over the 5-day
school week?
PLEASE HELP ME RNNN
Answer
5 miles
Step-by-step explanation:
If he rides his bike one mile each day school to home each day its going to be 1 mile per day so if its 5 days it is 5 miles
Which is grater and I don’t need any links please and thank you
-4 is greater since its negative then what you would call a smaller number is always greater
Answer:
-4
Step-by-step explanation:
i would pick ice cream though
The bottom part I need help on
Answer:
the y is 4
and the x is -8
(x,y)
(8,4-)
I need help on this problem
Answer:
c= 15 mi
Step-by-step explanation:
Pythagorean theorem. a^+b^=c^
Square root of that
answer 15
Answer:
15
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2 + 12 ^2 = c^2
81+144= c^2
225 = c^2
Take the square root of each side
sqrt(225) = sqrt(c^2)
15 =c
Distributiv property of 4x(5+5)
Answer:
40
Step-by-step explanation:
first you would solve this in the order of operations
parenthesis first so, (5 + 5) is equal to ten
after the parenthesis you multiply so, 4 × 10 = 40
40 is your answer
Answer:
Expanding the bracket using the distributive Property
We have
4(5) + 4(5)
=20 + 20
=40
largest possible number that equals 5000 when rounded to one significant figure
Answer:
four significant digits
Step-by-step explanation:
The given Histogram shows the salaries of the employees of Acme Corporation. What is the total number of employees in Acme Corporation?
A. 210
B. 300
C. 140
D. 100
Answer:
A. 210
Step-by-step explanation:
If you add the number of employees on the bar graph you will obtain your answer of 210 employees at Acme Corporation/Apple InfoTech.
What is the k’s meaning in k over 5 = 5
Answer:
25
Step-by-step explanation
5 times 5 is 25
(To make problems like this easier just multiply the denominator by the result, take this problem for example, the denominator is 5 and the result is 5 so just multiply those and you get 25)
help me with C please
Answer:
your answer is going to be b Find the product of A and B
Step-by-step explanation: