Answer:
1. (a-c)[tex]\sqrt{x}[/tex] + b[tex]\sqrt{y}[/tex]
2. 9m + 2[tex]\sqrt{n}[/tex]
3. 6a
4. (5a - 3b)[tex]\sqrt{5y}[/tex]
Step-by-step explanation:
1. since a and c share the same squareroot x, you can combine these together.
2. First add like terms together. 4m - m + 6m = 9m. Then 5[tex]\sqrt{n}[/tex] and -3[tex]\sqrt{n}[/tex] combined equals 2[tex]\sqrt{n}[/tex]
3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a
4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:
5a[tex]\sqrt{5y}[/tex] - 3b[tex]\sqrt{5y}[/tex]
We can combine the two like terms and get the final answer above.
please give thanks by clicking the heart :)
Answer:
1. (a-c)√x + b√y
2. 9m + 2√n
3. 6a
4. (5a - 3b)√5y
Step-by-step explanation:
we only got 35 cus people only get half the points you give
10 = 5
20 = 10
30 = 15
40 = 20
*50 = 25*
The population of a town called Smallville grows by 3,000 people every year. After 7 years of the town's development, the population is 31,000 people. Find the equation for this situation, letting x represent time (in years) and y represent the town's population. Show your work below:
Diego compro un libro y tres cuadernos,pago por ellos 180 solo recuerda que el libre le costó el doble de lo que le costaron los tres cuadernos juntos
Answer: Cada cuaderno cuesta 20, y el libro 120.
Step-by-step explanation:
Vamos a definir:
L = precio de un libro
C = precio de un cuaderno.
Sabemos que Diego compro un libro y tres cuadernos por 180, entonces tenemos:
1*L + 3*C = 180
También sabemos que el libro costo el doble de lo que costaron los 3 cuadernos juntos, entonces:
L = 2*(3*C) = 6*C
Tenemos un sistema de ecuaciones:
1*L + 3*C = 180
L = 6*C
Para resolverlo, podemos reemplazar la segunda ecuación en la primera, para así obtener:
1*(6*C) + 3*C = 180
6*C + 3*C = 180
9*C = 180
C = 180/9 = 20
Cada cuaderno costo 20.
Y el precio del libro se puede obtener con la ecuación:
L = 6*C = 6*20 = 120
El libro costo 120
What are the answers here?
Answer:
1) =3
2)and 3) y-3x-2
Step-by-step explanation:
Hope that help!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Simplify the expression.
. [tex]$8x-5+2x$[/tex]
Answer:
[tex]10x - 5[/tex]
Step-by-step explanation:
Combine like terms
A water tank contains 19 gallons of water. Raymond begins to add water to the tank at a rate of 7 gallons per minute. Which equation can be used to find y, the gallons of water in the tank after x minutes?
A y = 19x + 7
B y = x + 26
C y = 7x + 19
D y = 19x + 7x
Answer:
C y = 7x +19
Step-by-step explanation:
There are 19 gallons in the water tank and 7 gallons are added when you take x amount of minutes, which gives you y.
An example is 1 minute.
Y = 7(1) + 19
y = 7 + 19
y = 26
You have to remember that there are 19 gallons already in the tank and that 1 minute has passed, which means 7 gallons have been added. Thus there are 26 gallons in the water tank.
Hope this helps. :)
Answer:
I think the answer is A hopefully this helps
Triangle A is rotated 270° counterclockwise with the origin as the center of
rotation to create a new figure. Which triangle shows the new location?
Answer:
B
Step-by-step explanation:
The triangle which shows the new location would be Triangle B.
What is the rotation used?From the coordinates of XYZ transformed to coordinates of triangle X'Y'Z', we can see that the transformation pattern is;
(x, y) -----> (-y, x)
Consider the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation, Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 2: If the point is in second quadrant:
Subcase: Clockwise rotation, Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
On origin, No effect as we assumed rotation is being with respect to origin.
Now, this pattern of transformation occurs when Triangle A is rotated 270° counterclockwise with the origin as the center of rotation to create a new figure.
However, the other rotation that can be used to achieve this is a 270° counterclockwise rotation. so the correct option triangle is B.
Read more about rotation at;
brainly.com/question/4289712
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help me please what is i really need help
Step-by-step explanation: -6.3 x 8 = -50.4
Solve the system by the method of your choice. Write your answer as a coordinate point (x,
y)
-6x + 5y = -27
- 3x + 3y = -115
A. Increasing
B. Constant
C. Decreasing
Answer:
A. Increasing
Step-by-step explanation:
According to the graph, we see that as the x-values increase, the y-values also increase. Therefore, the entire graph is increasing.
a model for the performance of a stock is P= -2.5d^2+50d where d represents the days of trading and P is the price per share. What is the maximum price per share of stock and after how many days of trading did this price occur?
Answer:
The maximum price per share is $250 and it happens after 10 days of trading.
Step-by-step explanation:
The performance of a stock is modeled by the function:
[tex]P(d)=-2.5d^2+50d[/tex]
Where d is the number of days of trading and P is the price per share.
To find the maximum price, we use the first derivative:
[tex]P'(d)=-5d+50[/tex]
Equating to zero:
-5d+50=0
Solving for d:
-5d = -50
d = -50/(-5) = 10
d = 10
The price for d=10 is:
[tex]P(10)=-2.5*10^2+50*10[/tex]
[tex]P(10)=-2.5*100+500= 250[/tex]
The maximum price per share is $250 and it happens after 10 days of trading.
You randomly sample 8 graduate students from an NYU event. 5 of the 8 exhibit higher IQ’s than the median of the general population. The probability of obtaining this result by chance (if those graduate students do not differ in IQ from the general population) is
Answer:
The probability that five of the eight students exhibit an higher IQ than the median of the general population is 0.21875
Step-by-step explanation:
The given parameters are;
The number of students in the sample, n = 8
The number of the students, x, that exhibit higher IQ's than the median = 5
The probability of obtaining the given result by chance is given as follows;
P(x) = n!/((n - x)!x!) × pˣ × qⁿ⁻ˣ
The probability that a student exhibit higher IQ's than the median = 0.5 = p
Similarly, we have, the probability that a student exhibit lower IQ's than the median = 0.5 = q
Substituting the known values, gives;
P(5) = (8!/((8 - 5)!×5!)) × 0.5^(5) × 0.5^(8 - 5) = 0.21875
Therefor, the probability that 5 of the 8 students exhibit an higher IQ than the median of the general population, P(5) = 0.21875.
15.
enuse AC
Find the
In the accompanying diagram of right triangle RST,
altitude TP is drawn to hypotenuse RS. If TP = 6
and RP is 5 less than PS, find the length of
hypotenuse RS. [Only an algebraic solution will
be accepted.]
Someone help me please
Answer:
13
Step-by-step explanation:
Let PS = x and RP = x-5
Using Pythagorean theorem on the two smaller rt triangles formed,
6^2 + x^2 = (ST)^2
6^2 + (x-5)^2 = (RT)^2
Now use Pythag on big triangle and sub in above values:
(2x-5)^2 = 6^2 + x^2 + 6^2 + (x-5)^2
Multiply out and simplify to
x^2 - 5x -36 = 0
Factor the quadratic: ((x-9)(x+4)=0 Therefore x=9 or x=-4. We may disregard the negative answer so x = 9. So PS is 9 and RP is 4.
Therefore entire hypotenuse is 4 + 9 or 13.
Drag the tiles to the correct boxes. Not all tiles will be used.
What are the domain and the range of function f?
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
How to determine the domain and the range
In this question we have a rational function and we must determine its domain and range, whose elements exist if and only if the denominator evaluated at respective point is distinct of zero. Graphically speaking, the domain of the function represents the set of x-values, whereas the range represents the set of y-values.
By a graphing tool (i.e. Desmos) we construct the rational function and derive the following conclusions:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
By undestanding the theory behind rational functions and functional theory, we conclude that the function have:
Domain: (- ∞, - 3) ∪ (- 3, + ∞)
Range: (- ∞, 0) ∪ (0, + ∞)
To learn more on rational functions: https://brainly.com/question/27914791
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Answer:
Range: (negative infinity, 0) U (0, 1/9) U (1/9, infinity)
Domain: (negative infinity, -3) U (-3, 6) U (6, infinity)
Step-by-step explanation:
100% on the test
A cylinder has a volume of 360 cubic centimeters. Find the volume of a cone with the same height and diameter as
the cylinder.
Formula for the cylinder = V=πr2h
Formula for the cone = 1/3πr²H
Description:
So if the cone and a cylinder have the same radius and the same height then it will be greater. So plug in these formula.
Formula:
Vcone = 3Vcone
Vcylinder = 360cm³
Vcone = 1/3 360cm³ = 120cm³
Answer: 120cm³
Hope this helps.
I need help solving
Answer:
well if you're looking for angles then
angle ADB = 30°
angle CBD = 80°
angle CDB = 120°
but they asked to classify triangle ADC ,whose measurements are 90° , 40° and 50° ...so of they're asking what type of triangle then it is a right angled triangle.
Answer:
Triangle ADC is a right triangle.
Step-by-step explanation:
Triangles Classification
An acute triangle is a triangle with three acute angles or with less than 90° each.
An obtuse triangle has one obtuse angle or more than 90°.
A right triangle has one right angle of 90°
From the figure, we can see angle D is marked as a right angle (90°), thus triangle ADC is a right triangle.
To complete the answer, triangle ADB is obtuse (has an angle of 100°), and triangle ABD is acute.
PLEASE SOMEONE DO THIS FOR ME: Determine the x - and y - intercepts of the following linear function: 4x + 8y =16
4x+8y=16
4x/4+8y/8=16÷4/8
x+y=16×8/4
x+y=16×2
x+y=32
Which fraction represents the product of -7/8 and -9/11 in simplest form?
Answer:
63/88
any more help just ask
Answer:
c
Step-by-step explanation:
bc it is
6. 5x + 3x + 38+5x-10 180
Answer:
38
Step-by-step explanation:
Simplifying
6 + -5x + -3x = 38
Combine like terms: -5x + -3x = -8x
6 + -8x = 38
Solving
6 + -8x = 38
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6' to each side of the equation.
6 + -6 + -8x = 38 + -6
Combine like terms: 6 + -6 = 0
0 + -8x = 38 + -6
-8x = 38 + -6
Combine like terms: 38 + -6 = 32
-8x = 32
Divide each side by '-8'.
x = -4
Simplifying
x = -4
Answer:
I think the answer is 14.5x-132
Step-by-step explanation:
6.5x+3x+5x=14.5x
38+10-180=-132
=14.5x-132
What is an equation of the line that passes through the points (-6,-3) and (-3,-5)
Answer:
y = - [tex]\frac{2}{3}[/tex] x - 7
Step-by-step explanation:
A( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) , B( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
~~~~~~~~~~~~~
( - 6, - 3 )
( - 3, - 5 )
m = [tex]\frac{-5+3}{-3+6}[/tex] = - [tex]\frac{2}{3}[/tex]
y + 5 = - [tex]\frac{2}{3}[/tex] ( x + 3)
y + 5 = - [tex]\frac{2}{3}[/tex] x - 2
y = - [tex]\frac{2}{3}[/tex] x - 7
Find the coefficient of correlation between and X and Y if covariance between X and Y is 15 and the variance of X and Y are respectively 10 and 25
Answer:
0.95
Step-by-step explanation:
[tex]Correlation \ coefficient \ (r) = \dfrac{covaraince \ between \ X \ and \ Y }{SD_X \times SD_Y }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{10^{1/2} \times 25^{1/2} }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{3.162 \times 5 }[/tex]
[tex]Correlation \ coefficient \ (r) = \dfrac{15 }{15.81 }[/tex]
[tex]Correlation \ coefficient \ (r) \simeq 0.95[/tex]
please help. i have 20 minutes left
Answer:
You need to insert different x values and plot the point. So let's say x=1 the answer would be 10 and for 2 it would be 17
You had $24 to spend on eight
raffle tickets. After buying them
you had $8. How much did each
raffle ticket cost?
Answer:
$2 each ticket is 2 dollars
PLS HELP !!
A computer normally sells for $520. During a sale, the computer is
discounted 15% off. How much will it cost to buy the computer during the
sale? (Sale Price)
Answer:
$442
Step-by-step explanation:
Multiply the sales price by the discount percentage. This is the total discount that was taken off.
$520 x 15% = $78.
Subtract the discount amount from the sales price. This gives you the amount that the computer costs after the discount.
$520 - $78 = $442
The computer costs $442.
whats is 10000000000000000+00+0000000++000000+0000000010000000000001010101010102010202010200100202020202020.
jk, here is a gift from me Merry Christmas :)
Answer:
aww I find this so cutee
Step-by-step explanation:
Merry Christmas :) :) ^ ^
Answer:
its past t but it never too late to celebrate christmas happy christmas past and future
Step-by-step explanation:
Which number line shows the solution set for [n]< or equal to 2
no number line is shown so this answer is improvible
Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?
A.
x= -9
B.
x= -6
C. y=-9
D. y=-4
Answer:
I’m guessing D
Step-by-step explanation:
As the perpendicular would be -4 the negative reciprocal. I just worked out the whole equation including the point it passes.
Answer:
-6
Step-by-step explanation:
The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
symmetry of the transformed graph?
Answer:
x = -1
Step-by-step explanation:
The axis of symmetry of the graph [tex]y=(x-3)^2[/tex] is x=3 but,
If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:
[tex]x=3-4\\x=-1[/tex]
-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is
(-1 , -2) I attached an image so you can visualize clearly
I don't get this... someone explain this plum thing please...... Before a plum is dried to become a prune, it is 92% water. A pruneis just 20% water. If only water is evaporated in the drying process, how many pounds of prunes can be made with 100 pounds of plums?
Answer:
21.74 But if it tells you to round I would round to 21 lbs
Step-by-step explanation:
its basically just a ratio of 92 to 20
92/20=4.6
92-20=72% the amount that is lost
so given that the plum is 100 lbs we know that 72% is depleted
(72/92 = .78)X100= 78 lbs depleted
Lastly 100-78 =22 for the remaining weight of the prunes.
The sum of the firstnith term of series
is given by Sn = n2+ 5 n-6. Find the
general term (tn) and (+20)
Answer:
Tn = 2n+4
T20 = 44
Step-by-step explanation:
Given Sn = n²+ 5 n-6
Tn = Sn - Sn-1
Sn-1 = (n-1)² + 5(n-1) - 6
Tn = n²+ 5n-6 - ((n-1)² + 5(n-1) - 6))
Tn = n²+ 5n-6-(n²-2n+1+5n-5-6)
Tn = n²+ 5n-6-n²+2n-1-5n+5+6
Tn = 2n-7+11
Tn = 2n+4
Get the general term is 2n+4
To get the 20th term;
T20 = 2(20) + 4
T20 = 40+4
T20 = 44
Hence the 20th term of the sequence is 44
The value of x is -14. Order these expressions from least to greatest:
x1−xx−1-1÷x
Answer:
-197
Step-by-step explanation:
x1-xx-1-1÷x
-14(1)+14(-14)-1-1÷-14
-14-196-1(-1÷-14)
-211+14
-197
Answer:
x-1, x, 1-x, -1/x
Step-by-step explanation: