√(112) - √(80) / √(20) - √(28) = ?
[tex]\large\underline{\sf{Solution-}}[/tex]
We need to solve,
[tex]\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}[/tex]
We can write the above mentioned expression as,
[tex]\sf\longmapsto\dfrac{\sqrt{2\times2\times2\times2\times7}-\sqrt{2\times2\times2\times5}}{\sqrt{2\times2\times5}-\sqrt{2\times2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4\times4\times7}-\sqrt{4\times4\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
So,
[tex]\sf\longmapsto\dfrac{\sqrt{4^2\times7}-\sqrt{4^2\times5}}{\sqrt{2^2\times5}-\sqrt{2^2\times7}}[/tex]
Hence,
[tex]\sf\longmapsto\dfrac{4\sqrt{7}-4\sqrt{5}}{2\sqrt{5}-2\sqrt{7}}[/tex]
Taking common in respective terms,
[tex]\sf\longmapsto\dfrac{4(\sqrt{7}-\sqrt{5})}{2(\sqrt{5}-\sqrt{7})}[/tex]
On cancelling 4 with 2,
[tex]\sf\longmapsto\dfrac{4\!\!\!/^{\:2}(\sqrt{7}-\sqrt{5})}{2\!\!\!/(\sqrt{5}-\sqrt{7})}[/tex]
[tex]\sf\longmapsto\dfrac{2(\sqrt{7}-\sqrt{5})}{(\sqrt{5}-\sqrt{7})}[/tex]
Taking (-) common,
[tex]\sf\longmapsto\dfrac{-2(\sqrt{5}-\sqrt{7})}{(\sqrt{5}-\sqrt{7})}[/tex]
So, (√5 - √7) gets cut,
Hence,
[tex]\longmapsto\bf\dfrac{\sqrt{112}-\sqrt{80}}{\sqrt{20}-\sqrt{28}}=-2[/tex]
A bag has 4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball randomly
1-100%. You'll never know until you try it yourself.
I need answers fast plsss
Answer:
1/6
Step-by-step explanation:
the form you're using is slope-intercept. That is
y=mx+b
where y= y coordinate
m=slope
x= x coordinate
and b= y intercept
so, m in that equation is 1/6, so the slope is 1/6
Hope this helps!
What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?
A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.
Two-thirds
StartFraction 5 Over 6 EndFraction
1 and one-fifth
3 and one-third
Answer:
B
Step-by-step explanation:
Answer:
b?
Step-by-step explanation:
i think thats it sorry if wrong!
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
Answer:
A
Step-by-step explanation:
The answer is A
The roots of the given quadratic equation are -
x = 2 and x = 1.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is a quadratic function f(x) defined as -
f(x) = x³ - 3x² + 2
The given quadratic function f(x) is -
f(x) = x³ - 3x² + 2
We can write the roots of the equation as -
x = {3 ± √(9 - 8)}/2
x = {3 + √(9 - 8)}/2 and {3 - √(9 - 8)}/2
x = (3 + 1)/2 and x = (3 - 1)/2
x = 2 and x = 1
Therefore, the roots of the given quadratic equation are -
x = 2 and x = 1.
To solve more questions on functions, visit the link below-
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can someone do this? <3
here!
and here’s a link if you want to understand how to do it!
https://www.khanacademy.org/math/algebra-home/alg-intro-to-algebra/alg-manipulating-expressions/a/combining-like-terms-reminder
Answer:
[tex]-4b^3 - 4a^3 + 5a^3 b^2[/tex]
Step-by-step explanation:
Hope it helps!!
A bowling alley charges a flat fee to rent shoes. There is an additional fee for each game played. The function y=2.5x+3
represents the cost y of bowling x games. Interpret the parameters of the function.
represents the shoe rental charge.
represents the price per game.
The number that represents the shoe rental charge is 3.
The number that represents the price per game is 2.5.
The equation provided is a linear equation. A linear equation is made up of one varaible that has a power of one.
y= 2.5x + 3
In the given equation, 2.5 represent the additional fee for each game played. This number increases with each game played.
When:
1 game is played, the additional fee is 2.5 x 1 = 2.50.10 games are played, the additional fee is 2.5 x 10 = 25.3 is the flat fee to rent the shoes. It is a constant cost that does not change with the total games played.
A similar question was answered here: https://brainly.com/question/14276466?referrer=searchResults
HELP PLEASEEEE!!!
Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7
Answer:
45
Step-by-step explanation:
The graph given is of inequality x ≤ -7.
What is an inequality?In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.
Given is a graph of an inequality, we need to determine the inequality,
So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,
so the inequality will be x ≤ -7
Hence, the graph given is of inequality x ≤ -7.
Learn more about inequality, click;
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i’ll mark brainliest!! i will give a lot of points
Answer:
Step-by-step explanation:
You have 2 points given. Take them seriously. They represent actual numbers that don't need to be rounded.
The two points are (2,-2) and (-3,-6)
Now construct a line in point intercept form from these two points.
y2 = -2y1 = -6x2 = 2x1 = -3m = (y2 - y1)/(x2 - x1)
m = (-2 - - 6)/(2 - - 3)
m = 4/5
So far what you know is
y = 0.8 x + b
Use either one of the two points to get b (the y intercept)
x = 2
y = - 2
-2 = 0.8*2 + b
-2 = 1.6 + b Subtract 1.6 from both sides
-3.6 = b
y = 0.8x - 3.6
3
I need help with this assignment. Help please
The answer came as 2257 as listed above
Help me.
Fraction questions
Answer:
a)
2 sections
b)
9 sections
Step-by-step explanation:
a) there are total 8 boxes
so, for fraction 1/4
1/4 × 2/2 = 2/8
therefore shade 2 sections.
b) there are total 15 sections so to shade 3/5 of this shape
3/5×3/3 = 9/15
therefore , shade 9 sections.
hope this answer helps you dear...take care!
A circular flowerbed is surrounded by a path 2.5m wide .The diameter of the flower bed is 40m. Find the area of the path .
Answer:
The answer is in the photo
Step-by-step explanation:
Expand the following
Answer:
A) 3x +15
B) 8x -2
C) 20x + 10
D) 4x - 8y
Step-by-step explanation:
A) 3x+3 x 5 = 3x + 15
B) 2 x 4x -2 = 8x -2
C) 5 x 4x +5 x 2 = 20x + 10
D) 4x -4 x 2y = 4x - 8y
(Hope this helps can I pls have brainlist (crown)☺️)
Find the next three terms of the arithmetic sequence.
10, 13, 16, 19
Answer:
22, 25, 28
Step-by-step explanation:
10 + 3 = 13
13 + 3 = 16
16 + 3 = 19
19 + 3 = 22
22 + 3 = 25
25 + 3 = 28.
all numbers go up by three points
PLZ Hurry!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!The sum of two numbers is 19 and their difference is 7, What are the two numbers?
Answer:
13 and 6
Step-by-step explanation:
-6 divided by 8? How do you turn it into a fraction problem?
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
just put the number on top and what divides it on the bottom
Molly has 3 pounds of blueberries. She is freezing the berries into 1 half pound portions. How many smaller portions of blueberries will Molly make
Answer:
6 smaller portions
Step-by-step explanation:
1 pound (lb) = 16 ounces (oz)
3 lbs = 48 oz
1/2lb = 8oz
48oz (total)/8oz (amount in each portion) = 6 portions
Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.
6h + 5 = 4h + 10
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answer: The answer is B.
Step-by-step explanation: I took the test (:
Answer:
b
Step-by-step explanation:
3 in
3 in
Perimeter:
Area:
Step-by-step explanation:
The area = 3 × 3 = 9
The perimeter = 2(3 +3) = 12
please give me a brainliest answer
Answer:
A= a^2, which is 9.
P= 4a, which is 12.
(a) A square has a perimeter of 8 cm. What is the length of each side?
Answer: 2
Step-by-step explanation:
Perimeter is all the sides added up together so a square has 4 sides. 8/4= 2
Definition: To solve a problem, we often______
the given information into algebraic expressions and
Example: The phrase "4 more than twice a number' becomes 2n + 4'.
To solve a problem, we often Translate the given information into algebraic expressions and equations.
Step-by-step explanation:
Consider the provided statement.
In order to solve a mathematical problem, we often translate the given information into algebraic expressions and equations.
For example: “6 less than twice a number"
We first need to translate it.
This can be translated as: 2n-6
Where n represents the number.
Hence, the complete statement is To solve a problem, we often Translate the given information into algebraic expressions and equations.
What is the value of Y when X=-3 ?
Answer:
2
Step-by-step explanation:
the line is at 2 for Y
----
an
- 11 + 5(n-1)
Answer:
-3.2
Step-by-step explanation:
consider the following simplified algebraic expression 10x²y+6x²-7y²-6 which could be the original expression
Answer:
You technically can't do anything with it since it the algebraic expression doesn't factor.
Step-by-step explanation:
What is -1/2(-4/5) multiplied then in simplest form?
.what is the answer please
its C the only one that makes a angle
[50 pts] Zeke is a cook at Maxine’s Café after school and earns $12.75 per hour. Zeke worked a lot hours this week and charged $17.90 in meals. After paying for meals, Zeke’s earnings were less than $240. Which inequalities can be used to find h, the maximum number of hours that Zeke could have worked this week? (choose 2)
A 240 > 12.75h + 17.90
B 240 > 12.75h – 17.90
C 12.75h – 17.90 < 240
D 12.75h – 17.90 < 240
E 17.90 – 12.75h < 240
Answer:
240 > 12.75h – 17.9012.75h – 17.90 < 240Step-by-step explanation:
Zeke's earnings are:
12.75h - 17.90This amount is less than 240.
This can be shown as:
12.75h - 17.90 < 240 or240 > 12.75h - 17.90The matching choices are B, C and D (note C and D are given same, must be a typo)
Answer:
C 12.75h – 17.90 < 240
Step-by-step explanation:
Jessica is stacking items on a shelf she has large books that weigh 5 pounds each and medium books that weigh 3 pounds each. The shelf should hold at most 50 pounds.
Let x represent the number of large books.
Let y represent the number of medium books.
Which inequality represents the situation?
a.) 5x + 3y < 50 b.) 5x +3y ≤ 50 c.) 5x + 3y ≥ 50 d.) 5x + 3y > 50
Answer:
b) 5x +3y ≤ 50
Step-by-step explanation:
A market sells chicken for $2.99 a pound
How do you shift exponential functions?
Answer:
Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.