simplify x(2x+1)-(4x-5)
WAIT I THINK X = 3±i√31/4
Answer:
2x*-3x-5
* = squared
Step-by-step explanation:
step 1: distribute “x” to “2x+1”
-you now have the equation: 2x*+1x-4x-5
step 2: combine like terms (combine “1x” and “-4x”. that gets you “-3x”.)
-you now have the equation: 2x*-3x-5
step 3: you have no more like terms, your equation is solved.
final equation: 2x*-3x-5
If your original network address with prefix is 172.16.0.0/16, what should your new network address with prefix be if you need 16 subnets?
172.16.0.0/20 is the required network address with a prefix if you need 16 subnets.
Given that,
If you require 16 subnets, your new network address with a prefix should be something different from the old one, which is 172.16.0.0/16. To determine the prefix corresponding to the 16 subnets.
Here,
Original network address with a prefix = 172.16.0.0/16,
After 16 subnets the address would become,
New network address with the prefix with 16 subnets = 172.16.0.0/20.
172.16.0.0/20 is the required new address with prefix be if you need 16 subnets.
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PLEASE HELPPP MEEEEEEEEE
The value of the variable x and y are 12 and 31 respectively.
How to find the value of a variable?Line a and b are parallel lines.
These parallel lines are cut by a transversal.
The traversal forms angle relationship as follows:
5x - 7 = 3x + 17 (alternate angles)
The variable x and y can be found as follows
5x - 7 = 3x + 17
5x - 3x = 17 + 7
2x = 24
x = 24 / 2
x = 12
Therefore,
4y + 3 + 3x + 17 = 180
4y + 3 + 3(12) + 17 = 180
4y + 3 + 36 + 17 = 180
4y = 124
y = 124 / 4
y = 31
Therefore, the value of the variable x and y are 12 and 31 respectively.
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Simplify each expression.
49¹/₂
The question is testing on indices. Write 49 in its prime factors. By power rule (a^m)^(1/n)=a^(m/n). By factors, 49 = 7×7
49^(1/2)
(7^2)^(1/2) = 7^(2×1/2) = 7
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How many groups
of 2 are in 3/8?
Answer:
There are 3/16 groups of 2
Step-by-step explanation:
3/8 / 2 = 3/16
2. What is the VOLUME of the rectangular prism? Consider the rectangle on the top/bottom as the base.
I need Area of Base
height and
Volume
Area of base = 52
height = 5
Volume = 260
To find the volume of a rectangular prism all you need to do is multiply the length * width * height.
the area of base is the length * width = 13 * 4 = 52
then you multiply that by the height = 52 * 5 = 260
Simplify each expression. x¹/₂ y⁻¹/₃ / x³/₄ y¹/₂
The expression can be simplified through division of the exponential (power).
In the given expression, if the powers have the same base, we can actually divide the power. In order to carry out the division of the exponential (power), we can subtract their exponential.
In the general form, a-m=1/am
As there are two different base terms x and y in the numerator and denominator, we will subtract the powers of x terms and powers of y terms.
Let us simplify the x terms,
x¹/₂÷x³/₄=x(1/2)-(3/4)
Solving the powers,(½)–(¾)=(2/4)–(¾)=(2-3)/4=-1/4
x¹/₂÷ x³/₄=x(1/2)-(3/4)= x-1/4
Let us simplify the y terms,
y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)
Solving the powers, (-1/3)-(1/2)=(-2/6)-(3/6)=-5/6
y⁻¹/₃÷y¹/₂= y(⁻¹/₃)-(¹/₂)=y-5/6
Putting the terms together gives us,
x-1/4 *y-5/6
It can be expressed as a fraction as a-m=1/am
x-1/4 *y-5/6=1/x1/4y5/6
Hence, x¹/₂ y⁻¹/₃ / x³/₄ y¹/₂= x-1/4 *y-5/6=1/x1/4y5/6
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Given the linear function f(x) = −4x 8, what is the value of x if f(x) = 24? x = 104 x = −4 x = −8 x = −88
The value of x = -4
The given linear function is f(x) = -4x+8
We have to find the x corresponding to f(x) = 24
For our convenience, let f(x) = y
Then y = -4x + 8
This equation implies y in terms of x.
Isolating x to one side of the equation, we get,
x = (y - 8)/-4 = (8-y)/4
This equation gives x in terms of y.
So when f(x) = y = 24,
x = (8-24)/4
⇒ x = -4
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Greatest perfect square number between 250 and 300
Answer:
69
Step-by-step explanation:
Determine whether each function is an example of exponential growth or decay. Then find the y -intercept. y=3 e x
The given exponential function y = 3 eˣ is a exponential growth.
What is defined as the exponential functions?An exponential function is simply function that is used in a variety of real-world applications. It is primarily used to determine exponential decay as well as exponential growth, as well as to calculate investments, model populations, and so on.
The quantity increases really quite slowly at first, then rapidly in Exponential Growth. The rate of change accelerates with time. As time passes, the rate of growth accelerates. The rapid expansion is intended to be a "exponential increase."The quantity decreases rapidly at first, then slowly in Exponential Decay. The rate of change slows over time. As time passes, the rate of change slows. The rapid growth was supposed to be a "exponential decrease."Now, as per the given exponential functions;
y = 3 eˣ
The value of the exponent 'e' = 2.72.
This for any value of x > 0. this function will be of exponential Growth.
Therefore, the given function y = 3 eˣ shows the exponential Growth.
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ANSWER PLEASEEEEEEEE I NEEED HELPPPP
Angles <6 and <12 are alternate interior angle.
What are angles <6 and <12?An interior angle is an angle that is inside a shape. It can also be described as an angle that lie in the area bounded between two parallel lines that are intersected by a transversal. In the given image, angles 6 and 11 are interior angles. The sum of interior angles is 180 degrees.
An alternate interior angle is an angle that is formed when two parallel lines are crossed by a transversal. The angle formed on the inner side of the parallel lines, and on the opposite sides of the transversal are called alternate interior angles. The alternate interior angles are angles 6 and 12.
A corresponding angle is an angle that is on the same side of one of two lines cut by a transversal and on the same side of the transversal. Angle 4 and 12 are corresponding angles.
An alternate exterior angle is the two angles that is formed the outer side of the two parallel lines but on the opposite side of the transversal. Angles 4 and 14 are alternate exterior angle.
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Expand each logarithm.
logb √x√3 /y² √6z²
After expanding logarithm is [tex]\frac{1}{2} log_bx + \frac{1}{2} log_b3 - 2log_b(y) - log_b{(\sqrt{6}z )}[/tex]
What is logarithmic equation ?In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa.
The basic form of the logarithm function can be written as .
[tex]log_ax =N[/tex]
where, a is the base of function or equation
x define expression
There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.
Some important formulas of logarithms are :
log_c (a) +log_c (b) = log (a b)log a/b = log a - log blog a^x = x log alog a^a = 1The given expression can be written as,
[tex]log_b\frac{\sqrt{x} \sqrt{3} }{y^2 \sqrt{6z^2} } \\\\= log_b \sqrt{x} \sqrt{3} - log_b {y^2 \sqrt{6z^2} }\\\\= log_b\sqrt{x} + log_b\sqrt{3} - log_by^2 - log_b \sqrt{6z^2} \\\\= \frac{1}{2} log_bx + \frac{1}{2} log_b3 - 2log_b(y) - \frac{1}{2} log_b{(6z^2)} \\\\=\frac{1}{2} log_bx + \frac{1}{2} log_b3 - 2log_b(y) - log_b{(\sqrt{6}z )}[/tex]
Thus, after expanding logarithm is [tex]\frac{1}{2} log_bx + \frac{1}{2} log_b3 - 2log_b(y) - log_b{(\sqrt{6}z )}[/tex]
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Determine whether each function is an example of exponential growth or decay. Then find the y -intercept.
y=100(0.25) x
The function y = 100 ( 0.25 ) ˣ is an exponential decay function.
An exponential function is defined as y = a ˣ where x is a variable, and a is a constant called the base of the function.
We are given a function:
y = 100 ( 0.25 ) ˣ
We need to tell whether is is a exponential growth or decay function.
We can see that the value of a ˣ = (0.25) ˣ
So, the value of a = 0.25.
Since, it is a decimal and not an integer, its value will decrease with the increase in exponent x.
So, it will be a exponential decay function.
Therefore, we get that, the function y = 100 ( 0.25 ) ˣ is an exponential decay function.
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A company stock was selling at 28$ a share. A month later, it was selling at 21$ a share what is the percentage loss
The percentage loss is 25 %.
Percent change is the difference between subtracting the old value from the new value, dividing by the old value, and multiplying the final result by 100, expressed as a percentage. Generally, to convert a fraction to a percentage, multiply by 100. Similarly, the fraction (ratio) of the amount difference from the initial value is multiplied by 100 to get the percentage change. The formula for the percentage change is defined as the ratio of the difference of final value and initial value to the initial value. The formula of percentage change is mathematically expressed as [tex]Percentage=\frac{Final - Initial}{Initial} \times100\\[/tex] ..(1)It is given that initial value of company stock is $28 and final value is $21 . Put these values in equation (1) , we get
[tex]Percentage=\frac{21 - 28}{28} \times100\\\\Percentage=\frac{-7}{28} \times100\\\\Percentage=-25 \%[/tex]
Negative sign indicates loss in the percentage.
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SOMEONE PLEASE HELP MEEEEEE
The answer should be parallel to each other
step by step
from plotting the graph line AB is parallel to Line DF
Answer: AB and DF are parallel.
Step-by-step explanation:
A=(-2,-11)
B=(6,5)
D=(-7,-10)
F=(2,0)
Slope (AB)=5-(-11) =
6-(-2) =2
Slope (DF)=8-(-10)=
2-(-7) =2
Slope of AB=Slope of DF
AB and DF are parallel.
What is the mean absolute deviation of the following set?
(23, 24, 29, 30, 38, 48}
Need help
Answer:
7 and 1/3
O___O
Write each expression as a single logarithm.
log 8-2 log 6+log 3
The expression as a single logarithm is log (2/3).
In mathematics, the inverse function of an exponent is a logarithm. This means that the logarithm of a fixed number, such as a, at base b, is used to represent the exponent to which the fixed number must be raised in order to create the number x.
The general properties of logarithm for a fixed base are:
logₐa=1logₐx+logₐy=logₐxylogₐx-logₐy=logₐ(x/y)logₐxⁿ=n logₐxlogₓy=(logₐy)/(logₐx)Now from the above properties of logarithms we can calculate:
log 8-2 log 6+log 3
=log 8 + log 3 - 2log6
We know that logₐx+logₐy=logₐxy and logₐxⁿ=n logₐx
∴log(8×3) -log(6²)
=log 24 - log 36
Again we know that logₐx-logₐy=logₐ(x/y)
=log(24/36)
=log(2/3)
Therefore the given expression written as a single logarithm is log(2/3).
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Pre-Calc: Find all the zeros of the function.
The zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i and the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the zeros of the polynomial?The polynomial equation is given as
f(y) = 625y^4 - 256
Express the terms as an exponent of 4
So, we have
f(y) = (5y)^4 - 4^4
Express the terms as an exponent of 2
So, we have
f(y) = (25y^2)^2 - 16^2
Apply the difference of two squares
So, we have
f(y) = (25y^2 - 16)(25y^2 + 16)
Apply the difference of two squares
So, we have
f(y) = (5y - 4)(5y + 4)(25y^2 + 16)
Set the equation to 0
So, we have
(5y - 4)(5y + 4)(25y^2 + 16) = 0
Expand the equation
So, we have
5y - 4 = 0, 5y + 4 = 0 and 25y^2 + 16 = 0
This gives
5y = 4, 5y = -4 and 25y^2 = -16
Solve the factors of the equation
So, we have
y = 4/5, y = -4/5 and y = ±4/5√i
Hence, the zeros of the polynomial function are y = 4/5, y = -4/5 and y = ±4/5√i
How to write the polynomial as a product of the linear factors?
In (a), we have
The polynomial equation is given as
f(y) = 625y^4 - 256
Express the terms as an exponent of 4
So, we have
f(y) = (5y)^4 - 4^4
Express the terms as an exponent of 2
So, we have
f(y) = (25y^2)^2 - 16^2
Apply the difference of two squares
So, we have
f(y) = (25y^2 - 16)(25y^2 + 16)
Apply the difference of two squares
So, we have
f(y) = (5y - 4)(5y + 4)(25y^2 + 16)
Hence, the polynomial as a product of the linear factors is f(y) = (5y - 4)(5y + 4)(25y^2 + 16)
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A model rocket is launched with an initial upward velocity of 57m/s. The rocket's height h (in meters) after t seconds is given by the following.
h=57t-5t^2
Find all values of for which the rocket's height is 29 meters.
The values of for which the rocket's height is 29 meters are 0.75 and -0.67.
What is a velocity?Velocity can be described as a vector quantity having both direction and magnitude which is the distance traveled per time.
We were given the rocket's height h as [tex]h=57t-5t^2[/tex] which is an equation, and we were been given the height which is the value that can be input into the equation as is 29 meters , then we can proceed to simplify the equation as
[tex]h=57t-5t^2[/tex]
29=57t-5t^2
then we will have [tex]57t-5t^2-29=0[/tex]
with the use of quadratic formula the values of t are : 0.75 and -0.67
Then we can chose 0.75 seconds
Therefore, after the calculation with the use of the quadratic equation, we can come into conclusion that the values that are required in the question are 0.75 and -0.67.
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NOTE: This is a complete question, there were no given options, even on the internet.
21 less than 5 times a number is 74. What is the number?
Answer:
19
Step-by-step explanation:
74+21=95 95/5=19
What time is on the clock face?
Answer: I think it's 9: 48
Step-by-step explanation: hope this helps!
Answer:
8:45
because the small hand (hour hand) is a little passed 8
and the long hand (minute had) is at 45 minutes
Step-by-step explanation:
In the diagram below, m/AGF = 62° and m/DGB = 32°. Find m/CGE.
Step
1
2
try
Angle
m/AGF = 62°
m/DGB = 32°
m/
B
D.
O
Select a Reason
32°
G
62°
Reason
Given
Given
A
Step-by-step explanation:
per the laws of intersecting lines the angles on one side of any of the lines must be the same as the angles on the other side of that line - just left-right mirrored.
for that reason, CGE = DGF.
also to remember : the sum of all angles around a point on one side of a line is always 180° (because they represent a half-circle with that point being the center). in other words, these angles are supplementary (together 180°).
therefore,
180 = 62 + 32 + DGF
DGF = CGE = 180 - 62 - 32 = 86°
Savita is dividing 3 1/4 kg of sweets equally among her seven friends. How much does each
friend receive?
Answer:
13/28 kg
Step-by-step explanation:
Convert to 28 in the denominator.
[tex]\frac17 \cdot (3+\frac14) = \frac37+ \frac{1}{28} = \frac{3\cdot4}{7\cdot4}+ \frac{1}{28} = \frac{12}{28}+ \frac{1}{28} = \frac{13}{28}[/tex]
Convert 66 miles per hour into feet per second show all your work
Answer:
96.8 fps
Step-by-step explanation:
the formula is
x * 1.46666667
66 * 1.46666667
≈96.8
NEED HELP ASAP
Which of the following vertices would minimize the objective function N = 7x + 2y?
A. (4,0)
B. (6,3)
C. (3,9)
D. (0,12)
The vertices that would minimize the objective function N = 7x + are (4, 0)
How to determine which of the vertices that would minimize the objective function N = 7x + 2y?The objective function is given as
N = 7x + 2y
Next, we substitute the values in the options in the objective function
So, we have
A. (4,0)
N = 7(0) + 2(4)
N = 8
B. (6,3)
N = 7 x 6 + 2 x 3
N = 48
C. (3,9)
N = 7 x 3 + 2 x 9
N = 39
D. (0,12)
N = 7 x 0 + 2 x 12
N = 24
The smallest result in the above computations is 8
Hence, the vertices that would minimize the objective function N = 7x + are (4, 0)
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Evaluate each expression for x=-2,0 , and 2 .
10x⁺¹
The value of given expression for x=0 is 0, x=-2 is -20 and x=2 is 20.
Given the expression is (10x)⁺¹.
Firstly, we will simplify the given expression (10x)⁺¹ for x=0.
Substitute the value x=0 in given expression, we get
(10x)⁺¹=(10×0)⁺¹
As we know that something multiply to zero is 0.
So, we get
(10x)⁺¹=0
Now, we will simplify the given expression (10x)⁺¹ for x=-2.
Substitute the value x=2 in given expression, we get
(10x)⁺¹=(10×2)⁺¹
Now, we will know that if we multiply any number with 2 we get twice of it, we get
(10x)⁺¹=(20)⁺¹
(10x)⁺¹=20
Furthermore, we will simplify the given expression for x=-2.
Substitute the value x=-2 in given expression, we get
(10x)⁺¹=(10×(-2))⁺¹
Now, we will know that if we multiply any number with 2 we get twice of it, we get
(10x)⁺¹=(-20)⁺¹
(10x)⁺¹=-20
Hence, the value of expression (10x)⁺¹ for x=0, 2 and -2 is 0, 20 and -20.
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Need to know the answer
10.
(8y + 17)°
(6x - 7)°
(3x-29)
Find x and y
[tex] \large \bf \implies{x = 24 \degree \: and \: y = 15 \degree}[/tex]
Step-by-step explanation:[tex] \bf \longrightarrow(6x - 7 ) \degree+ (3x - 29) \degree = 180 \degree \\\bf \longrightarrow (9x - 36) \degree = 180 \degree \\\bf \longrightarrow 9x = 180 \degree + 36 \degree \\\bf \longrightarrow 9x = 216 \degree \\\bf \longrightarrow x = \frac{ \cancel{216} \degree}{ \cancel{9} } \\\bf \longrightarrow \boxed{ \bold{ x = 24 \degree}}[/tex]
[tex] \red{ \rule{7cm}{0cm}}[/tex]
[tex]\bf \longrightarrow(8y + 17) \degree = (6x - 7) \degree[Vertical \: angles] \\\bf \longrightarrow 8y = 6 \times 24 - 7 - 17 \\ \bf \longrightarrow8y = 144 - 24 \\\bf \longrightarrow 8y = 120 \\\bf \longrightarrow y = \frac{ \cancel{120}}{ \cancel{8} } \\\bf \longrightarrow \boxed{ \bold{y = 15 \degree}}[/tex]
Can anyone tell me if 3x-1=1-3x is a solution or no solution? I just need a reqing of how to do this again. Thanks!
The equation 3x - 1 = 1 - 3x has a solution x = 1/3
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
The expression is given as;
3x - 1 = 1 - 3x
Now, To check the solution is exist or not we can solve the equation as;
3x - 1 = 1 - 3x
Add '3x' both side,
3x - 1 + 3x = 1 - 3x + 3x
6x - 1 = 1
Add '1' both side,
6x - 1 + 1 = 1 + 1
6x = 2
Divide '6' both side,
x = 1/3
Hence, The equation 3x - 1 = 1 - 3x has a solution x = 1/3.
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The line AB passes through the points A(2, -1) and (6, k). The slope of AB
is 5. Work out the value of k.
[tex]A(\stackrel{x_1}{2}~,~\stackrel{y_1}{-1})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{k}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{k}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{k +1}{4} ~~ = ~~\stackrel{\stackrel{\textit{sllope of AB}}{\downarrow }}{5}\implies k+1=20\implies \boxed{k=19}[/tex]