Answer:
Step-by-step explanation:
[tex]\displaystyle \ \Large \boldsymbol{} \frac{a-\sqrt{a} }{\sqrt{a}-1 } -\frac{\sqrt{a}+1 }{a+\sqrt{a} } :\frac{\sqrt{a}+1 }{a} = \\\\\\\frac{\sqrt{a}(\sqrt{a} -1 ) }{(\sqrt{a}-1) } -\frac{\sqrt{a}+1 }{\sqrt{a}(\sqrt{a}+1 )}\cdot \frac{\sqrt{a}\cdot \sqrt{a} }{\sqrt{a}+1 } = \\\\\\\sqrt{a} -\frac{\sqrt{a} }{1+\sqrt{a} } =\frac{a+\sqrt{a}-\sqrt{a} }{1+\sqrt{a} } = \\\\\\\frac{a}{\sqrt{a}+1 } \cdot \frac{\sqrt{a}-1 }{\sqrt{a}-1} } =\boxed{\frac{a\sqrt{a} -a}{a-1} }[/tex]
help please for functions
Answer:
A
Step-by-step explanation:
The domain of a graph is the set of number you can input for x that will give you a y value. From the looks of it, this graph has all x-values larger than zero.
We know it is not b since we see x-values of the graph go past x=10.
We know it is not c because there are no negative x-values.
We know it is not D because there are no negative x-values. Real number include negative numbers.
Write an algebraic expression for “three less than the sum of a number and a four”
Answer:
(x + 4) - 3
Step-by-step explanation:
Let the number be x
(x +4) - 3
simplify (4+√3)(4-√3)
Answer:
13
Step-by-step explanation:
(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13
Answer:
Step-by-step explanation:
(a + b)(a -b) =a² - b²
a = 4 and b = √3
(4 + √3)(4 - √3)= 4² - (√3)²
= 16 - √3*√3
= 16 - 3
= 13
what is the total time it will take the snowball to melt completely
Point-slope form
y -24 = -4/5(x -0)
Find x when y is 0 (X-intercept)
0 -24 = -4/5(x -0)
-24 = -4/5x
x = -120/-4
x = 30
Answer: A. 30 minutes
Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!
Answer:
54
Step-by-step explanation:
The perimeter is the sum of the outside
P = 8+4+5+10+( 4+10) +(8+5)
P = 54
1. When decimal currency came to Australia in 1966 (that's exactly
50 years ago!), there were 6 coins -- 1 cent, 2 cent, 5 cent,
10 cent, 20 cent and 50 cent coins. What is the SMALLEST
number of these coins you would need to make 89 cents?
Doing this, we get that the smallest number of coins is: 6
89 cents:
89 is more than 50 cents, but less than 50*2 = 100, so 1 50 cent coin is needed, which leaves 89 - 50 = 39 cents remaining.39 is more than 20 cents, but less than 20*2 = 40, so 1 20 cent coin is needed, which leaves 39 - 20 = 19 cents remaining.19 is more than 10 cents, but less than 10*2 = 20, so 1 10 cent coin is needed, which leaves 19 - 10 = 9 cents remaining.9 is more than 5 cents, but less than 5*2 = 10, so 1 5 cent coin is needed, which leaves 9 - 5 = 4 cents remaining.The remaining 4 cents are achieved with 2 2 cent coins.Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.
A similar question can be found at https://brainly.com/question/21776594
What is y if the ordered pair (25, y) is a solution of the equation shown?
Answer:
4
Step-by-step explanation:
y = 1/5x -1
Let x = 25
y = 1/5(25) -1
= 5-1
= 4
y =4
Answer:
I think that it is 4
Step-by-step explanation:
Write the equation of the graph shown below in factored form?
Answer:
1st option
Step-by-step explanation:
If x = a is a zero of f(x) then (x - a) is a factor of f(x)
Here the zeros ( where the graph crosses the x- axis ) are
x = - 2, x = 1, x = 3 , then the corresponding factors are
(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)
f(x) is then the product of the factors , that is
f(x) = (x + 2)(x - 1)(x - 3)
how can i work out the value of this?
Answer:
ap.ply the r.ule of expo.nents !
( 3^7 × 3^-2 ) / 3^3
=> ( 3 ) ^ 7-2-3
=> ( 3 ) ^ 2
=> 9
hope that helps ✌
29 A student has N425. He bought seven ex-
ercise books and he was given N5 as
change. What is the average cost of one
exercise book?
A N60.71 B N50 C N60
DN50.71 E
N75
3. A straight line passes through two points with
coordinates (6,8) and (0,5).
Work out the equation of the line.
Answer:
Step-by-step explanation:
Find the slope of the line
(x₁ , y₁) = (6 , 8) & (x₂ , y₂) = (0 , 5)
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{5-8}{0-6}\\\\=\frac{-3}{-6}\\\\=\frac{1}{2}[/tex]
m = 1/2 ;(x₁ , y₁) = (6 , 8)
y - y₁ = m(x - x₁)
[tex]y - 8 = \frac{1}{2}(x - 6)\\\\y - 8 =\frac{1}{2}x -\frac{1}{2}*6\\\\y - 8 =\frac{1}{2}x- 3\\\\y = \frac{1}{2}x - 3 + 8\\\\y = \frac{1}{2}x + 5[/tex]
find the missing side lengths
Through (-1,2) parallel to the line x=5. Find an equation of a line that satisfies the given conditions.
Answer:
x= -1
Step-by-step explanation:
Since x= 5 is a vertical line, the unknown line would also be a vertical line with an equation of x=___ as they are parallel to each other.
Given that the line passes through (-1, 2), the equation of the line is x= -1.
Parallel lines have the same slope and will never meet.
2axy-4a^2xy^2+6a^3x^2
Answer:
2ax(y-2ay^2+3a^2x)
Step-by-step explanation:
2axy-4a^2xy^2+6a^3x^2
Given data
we have the following expression
2axy-4a^2xy^2+6a^3x^2
let us factor this expression
we have
2ax(y-2ay^2+3a^2x)
The common factor is 2ax
And the factorized expression is 2ax(y-2ay^2+3a^2x)
when three times a certain number is subtracted from 5 the result is more than 9 find the range of the values of the number.
Answer:
] 14/3 ; ♾ [
Step-by-step explanation:
3x-5>9
3x>9+5
3x>14
x>14/3
wich make it ] 14/3 ; ♾ [
when three times a certain number is subtracted from 5 the result is more than 9 find the number.
Solution :Let us assume :
The number be x
Data :
A number is 3 times = 3x
Subtracted from 5
The result = 9
Henceforth, the equation we got is :
3x - 5 = 9Transposing 9 to the other side
3x = 14 x = 14/3Hence, the value of x is 14/3 respectively
please help me please i will give brainliest
Answer:
I think It would be A
Step-by-step explanation:
Answer:
i think its A
Step-by-step explanation:
(if its not im sorry :( )
Find the missing term in the proportion:
1/y = 4/11
y=?
Answer:
2.75, or 2 3/4
Step-by-step explanation:
Cross multiply first to get:
4y = 11
Divide by 4 on both sides
y = 2.75
Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.
Hope this helps!
If there is something wrong, just let me know.
Answer:
2.75
Step-by-step explanation:
1/y = 4/11 cross multiply the expressions
4y = 11 divide both sides by 4
y = 2.75
Answer for this question?
Answer:
B
Step-by-step explanation:
Lie should factor out 3 from the expression
I do not understand this question can someone help me with good explanation will give Brainliest
Answer:
60 (E)
Step-by-step explanation:
He plants seeds -> plants grow to 12 times the original weight of the seeds -> he sells 50 tonnes from the harvest -> remainder is used as the next batch of seeds
He harvested 120 tonnes this year which means the original weight of the seeds planted was 120÷12 = 10 tonnes. This means that last years harvest would be the 10 tonnes used as seeds plus the 50 tonnes that would have been sold immediately, 10+50 = 60 tonnes
Its in the picture!!!1
Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.
Answer:
Step-by-step explanation:
Common difference is -9.
t_1 = 2
t_n = t_1 - (n-1)9
= t_1 - (9n - 9)
= 2 - (9n - 9)
= 11 - 9n
What is 6nx + 7p - 14p +2nx - 6x in simplified expression
Answer:
8nx- 7p-6x is your answer .
Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x - axis .
Answer:
(1, 2)
Step-by-step explanation:
Given the equation of the lines x + 2y = 5 and 2x - 3y = -4
First we need to make x the subject of the formulas
For x+2y = 5
x = 5 - 2y ... 1
For 2x - 3y = -4
2x = -4+3y
x = (-4+3y)/2 ... 2
Equate 1 and 2
5 - 2y = (-4+3y)/2
2(5-2y) = -4+3y
10 - 4y = -4+3y
-4 -3y = -4-10
-7y = -14
y = 14/7
y = 2
Substitute y = 2 into 1
x = 5 = 2y
x = 5 - 2(2)
x = 5 - 4
x = 1
Hence the point where the lines meet will be at (1, 2)
It cost 2.10 for a gourmet coffee shop to make a small latte.The price of a small latte is 2.94.What is the percent markup on the latte
Answer:
40%
Step-by-step explanation:
Given that :
Cost of production of small latte = 2.10
Sale price of small latte = 2.94
The Markup = Sale price of small latte - cost of production of small latte
The Markup = 2.94 - 2.10 = 0.84
Percentage Markup = (0.84 / 2.10) * 100%
Percentage Markup = 0.4 * 100% = 40%
PLZZ answer this in a simple method
Answer:
hope this help you
of my handwriting is bad then sorry.
Answer:
have a great day
may god bless you a lot
juan analyzes the amount of radioactive material remaining in a medical waste container over time. He writes the function f(x)=10(0.98)x to represent the amount of radioactive material that will remain after x hours in the container.
Rounded to the nearest tenth, how much radioactive material will remain after 10 hours?
0.8 units
1.3 units
8.2 units
9.8 units
Answer:
8.2 units
Step-by-step explanation:
For radioactive decay, the amount should decrease over time. Given the function:
f(x) = 10(0.98[tex])^{x}[/tex]
We substitute the time of x = 10 hours:
f(10) = 10(0.98[tex])^{10}[/tex]
f(10) = 8.17
Round 8.17 to 8.2.
Therefore 8.2 units will remain after 10 hours.
According to the rules of Major League Baseball, the infield must be 30 feet by 30 feet in a diamond shape with perpendicular (90°) corners. Answer the following questions regarding the shape of the infield.
Answer:
No Major League ballparks are exactly alike, but certain aspects of the field of play must be uniform across baseball.
The infield must be a square that is 90 feet on each side, and the outfield is the area between the two foul lines formed by extending two sides of said square (though the dirt portion of the field that runs well past the 90-foot basepaths in all Major League parks is also commonly referred to as the infield). The field must be constructed so that the bases are the same level as home plate.
The rulebook states that parks constructed by professional teams after June 1, 1958, must have a minimum distance of 325 feet between home plate and the nearest fence, stand or other obstruction on the right- and left-field foul lines, and 400 feet between home plate and the nearest fence, stand or other obstruction in center field. However, some clubs have been permitted to construct parks after that date with dimensions shorter than those specified.
The pitcher's plate must be a 24-inch by 6-inch slab of whitened rubber that is 10 inches above the level of home plate and 60 feet, 6 inches away from the back point of home plate. It is placed 18 inches behind the center of the mound -- which is erected within an 18-foot diameter circle -- and surrounded by a level area that is 5 feet by 34 inches. The slope of the pitcher's mound begins 6 inches in front of the pitcher's plate and must gradually decrease by 1 inch every foot for 6 feet in the direction of home plate.
Home plate is a 17-inch square of whitened rubber with two of the corners removed so that one edge is 17 inches long, two adjacent sides are 8 1/2 inches each and the remaining two sides are 12 inches each and set at an angle to make a point. The 17-inch side faces the pitcher's plate, and the two 12-inch edges coincide with the first- and third-base lines. The back tip of home plate must be 127 feet, 3 and 3/8 inches away from second base.
The other bases must be 15-inch squares that are between 3 and 5 inches thick, covered by white canvas or rubber and filled with soft material.
Step-by-step explanation:
Tell answer
find in exponenial form
a) 27³x9²x3 options
1) 3³
2) 3 to power 14
answer in detail
Answer:
[tex]{ \tt{ {27}^{3} \times {9}^{2} \times 3 }} \\ = { \tt{ {3}^{3} \times {3}^{2} \times {3}^{1} }} \\ = { \tt{ {3}^{(3 + 2 + 1)} }} \\ { \tt{ = {3}^{6} }}[/tex]
Several customers order small fruit baskets filled with apples, bananas, and oranges. Let a represent the price per pound of apples, b represent the price per pound of bananas, and c represent the price per pound of oranges. The system represents the number of pounds of each type of fruit and the total price of each fruit basket. How much per pound does each type of fruit cost
The missing equations are;
a + 2b + 3c = 12
3a + 2b + 5c = 22
2a + 4b + 4c = 18
Answer:
a = 2
b = 0.5
c = 3
Step-by-step explanation:
We are told that;
a represent the price per pound of apples
b represent the price per pound of bananas
c represent the price per pound of oranges
The equations system is;
a + 2b + 3c = 12 - - - (eq 1)
3a + 2b + 5c = 22 - - - (eq 2)
2a + 4b + 4c = 18 - - - (eq 3)
Divide through equation 3 by 2 to get
a + 2b + 2c = 9 - - - (eq 4)
Subtract eq 4 from eq 1 to get;
3c - 2c = 12 - 9
c = 3
Put 3 for c in eq(2) and eq 4;
3a + 2b + 5c = 22
3a + 2b + 5(3) = 22
3a + 2b + 15 = 22
3a + 2b = 7 - - - (5)
a + 2b + 2(3) = 9
a + 2b + 6 = 9
a + 2b = 3 - - - (eq 6)
Subtract eq 6 from eq 5 to get;
2a = 7 - 3
2a = 4
a = 2
Put 2 for a in eq 6;
2 + 2b = 3
2b = 3 - 2
2b = 1
b = 1/2
b = 0.5
Answer:
It's A
Step-by-step explanation:
edge 2021
What is the slope-intercept equation of the line below?
-5
A. y = 3x + 4
B. y=-3x + 4
C. y=-3x-4
D. y = 3x - 4
Answer:
The answer is B. y=-3x+4
Step-by-step explanation:
Have a great day :)
