help! this is algebra 1 and idk how to do it lol

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

Step-by-step explanation:

Just find the reciprocal of the parent function

Parent functions:

g(x)= (1/2)^x

g(x)= 4 cube root x

g(x)= |x|

Answer:

A) g(x)= -2^x

D) g(x)= -1/3 4th root x

E) g(x)= -|x|

Given: X-3(x+2)=4X-3(x+2)=4

Find: the solution of the given equation

Explanation:

on solving equation (1) and (2) , we get

Answer:

x = -5

Step-by-step explanation:

    x - 3(x + 2)= 4

    x - 3x - 3*2 = 4     {Distributive property}

   x - 3x  - 6    = 4

Combine like terms in LHS,

         -2x - 6  = 4

Add 6 to both sides,

               -2x = 4 + 6

               -2x = 10

Divide both sides by (-2)

                   x = 10 ÷ (-2)

                   \(\sf \boxed{x= -5}\)

Answer:

Step-by-step explanation:

2(3x+5) = 4(2x - 3)

First expand the terms

That's

6x + 10 = 8x - 12

6x - 8x + 10 = - 12

- 2x + 10 = - 12

Subtract 10 from both sides

That's

- 2x + 10 - 10 = - 12 - 10

- 2x = - 22

Divide both sides by - 2

We have the final answer as

Hope this helps you

The cylindrical coordinates of the point (-5, 5, 5) are (5, 3π/4, 5).

To convert from rectangular coordinates to cylindrical coordinates, we use the following formulas:

r = sqrt(x^2 + y^2)

theta = arctan(y/x)

z = z

In this case, we have x = -5, y = 5, and z = 5. So, we have:

r = sqrt((-5)^2 + 5^2) = 5

theta = arctan(5/(-5)) = 3π/4

Therefore, the cylindrical coordinates of the point (-5, 5, 5) are (5, 3π/4, 5).

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I need a little more information is there anymore that you could give me?

Answer:x=-2

Step-by-step explanation: -1=3/2x+2

Given :-

A line having a slope of 3/2 passes through (2,-1) .

To Find :-

The equation of the line .

Answer :-

According to the question ,

m = 3/2

Point = (2,-1)

We know Point slope form of the line as ,

y - y¡ = m ( x - x ¡ )

Substitute ,

y - (-1) = 3/2 ( x - 2 )

y + 1 = 3/2x - 3/2*2

y +1 = 3/2x - 3

2( y +1) = 3/2x *2 - 3*2

2y + 2 = 3x - 6

3x -2y -8 = 0

Answer:

x > 1

Step-by-step explanation:

3 - 2x < 1

- 2x < 1 - 3

- 2x < - 2

Divide - 2 on both sides,

- 2x / - 2 > - 2 / - 2

x > 1

Answer:

x>1

Step-by-step explanation:

Hence, x>1

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

9514 1404 393

Answer:

  a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞

Step-by-step explanation:

Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.

If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.

__

a) -2x -10 = -6x +4x -8  ⇒  -2x -10 = -2x -8 . . . . 0 solutions

b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution

c) -1/4x -7/2 = -3x -4 . . . . 1 solution

d) 2x -8 +x = 3x -6 -2  ⇒  3x -8 = 3x -8 . . . . ∞ solutions

e) 3 -2/5x -12/5 = 2 -2/5x  ⇒  -2/5x +3/5 = -2/5x +2 . . . . 0 solutions

f) 6x -6 +21 = 6x +15  ⇒  6x +15 = 6x +15 . . . . ∞ solutions

Answer:

a)3x+7x-8=18

3x+7x=18+8

10x=18+8

10x=26

x=13/5

b)-8+2x=12x-3

-8+2x-12x=-3

2x-12x=-3+8

-10x=-3+8

-10x=5

x=-1/2

e)4/3x-18+2/3x=7/3x+9

4x-54+2x=7x+27

6x-54=7x+27

6x-7x-54=27

6x-7x=27+54

-x=27+54

-x=81

X=-81

d)-2x-4/5 +8/5 =3x-3

-2x-4+8=15x-15

-2x+4=15x-5

-2x-15x+4=-15

-2x-15x=-15-4

-17x=-15-4

-17x=-19

x=19/17

Step-by-step explanation:

The value of j that makes the given equation true is 8.6.

In Mathematics, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.

In this scenario, you are required to determine the value of j by evaluating and simplifying the given equation. Therefore, we would add 5.4 to both sides of the equation as follows;

j - 5.4 + 5.4 = 3.2 + 5.4

j = 3.2 + 5.4

j = 8.6

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Complete Question:

Determine the value of j that makes the following equation true.

j - 5.4 = 3.2.

The polar equation \(\( r=-6 \sec \theta \)\) can be converted to rectangular form as \(\( y=-6 \)\). It represents a horizontal line crossing the \(\( y \)\)-axis at \(\( -6 \)\).

To convert the given polar equation to rectangular form, we can use the following relationships:

\(\( r = \sqrt{x^2 + y^2} \)\) and \(\( \tan \theta = \frac{y}{x} \)\).

Given that \(\( r = -6 \sec \theta \)\), we can rewrite it as \(\( \sqrt{x^2 + y^2} = -6\sec \theta \)\).

Since \(\( \sec \theta = \frac{1}{\cos \theta} \)\), we can substitute it into the equation and square both sides to eliminate the square root:

\(\( x^2 + y^2 = \frac{36}{\cos^2 \theta} \)\).

Using the trigonometric identity \(\( \cos^2 \theta + \sin^2 \theta = 1 \)\), we can rewrite the equation as:

\(\( x^2 + y^2 = \frac{36}{1 - \sin^2 \theta} \)\).

As \(\( y = -6 \)\), we substitute this value into the equation:

\(\( x^2 + (-6)^2 = \frac{36}{1 - \sin^2 \theta} \)\).

Simplifying further, we have:

\(\( x^2 + 36 = \frac{36}{1 - \sin^2 \theta} \)\).

Since \(\( \sin^2 \theta \)\) is always between 0 and 1, the denominator \(\( 1 - \sin^2 \theta \)\) is always positive. Thus, the equation simplifies to:

\(\( x^2 + 36 = 36 \)\).

Subtracting 36 from both sides, we obtain:

\(\( x^2 = 0 \)\).

Taking the square root of both sides, we have:

\(\( x = 0 \)\).

Therefore, the rectangular form of the polar equation \(\( r = -6 \sec \theta \) is \( y = -6 \)\), which represents a horizontal line crossing the \(\( y \)-axis at \( -6 \)\).

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There are 6 significant digits in the number 1.00460.

Therefore, there are 6 significant digits in the number 1.00460.

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Answer:

4 hours

Step-by-step explanation:

3.6 / .8

It is an equation, telling you that left side of = is same as right side and asking you to solve it (figure out the x).

\(x^2=\frac{9}{256}\)

Apply square root on both sides of the equation to get rid of power on x.

\(x=\pm\sqrt{\frac{9}{256}}\)

Now simplity the square root.

\(x=\pm\frac{\sqrt{9}}{\sqrt{256}}=\boxed{\pm\frac{9}{16}}\)

Hope this helps.

Answer: 15

Step-by-step explanation:

Substitute 4 in x.  

An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let \(P_t\) be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
\(P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)\)

Thus, we get:
\(P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t\)

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

\(P_t = P(1+r)^t\)

Here, putting P = 1700, r = 0.08, and t = T, we get:

\(P_T = 1700(1.08)^T\)

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: \(P_T = 1700(1.08)^T\)

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The question is not complete because it is not written correctly

Complete Question:

The drama club is holding auditions for five different parts in a one act play. If 9 people audition, how many ways can the roles be assigned?

a. 362,880

b. 15,120

c. 126

d. 120

Answer:

b. 15,120

Step-by-step explanation:

In other to solve the question above, we would use the formula for permutation.

This is because when assigning 5 DIFFERENT roles to 9 people, the order of assigning the roles is important. The formula for permutation, is used when order is involved.

Permutation (n, r) = nPr = n!/(n - r)!

In the above question,

n = 9 people

r = 5 different parts

9P5 = 9!/(9 - 5)!

= 9!/4! = 9×8×7×6×5×4×3×2×1/ 4×3×2×1

= 362880/ 24

= 15,120

Therefore, the number of ways that the roles can be assigned is 15,120 ways

The values of r and s is -1 and -4 respectively.

Given that:-

coordinates of j are (-8,-5)

coordinates of l are (6,-11)

coordinates of k are (r-4,2s)

Also, k is the mid-point of jl.

We have to find the values of r and s.

We know that, for  (x,y) and (z,w), the mid-point is ((x+z)/2, (y+w)/2).

Here,

(x,y) = (-8.-5)

(z,w) = (6,-11)

(r-4,2s) = ((x+z)/2,(y+w)/2)

Hence,

(r-4,2s) = ((-8+6)/2,(-5-11)/2)

(r-4,2s) = (-1,-8)

Comparing the coordinates, we get:-

r - 4 = -1

r = -1+4 =3

2s = -8

s =-8/2 = -4

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The ordered pair which does not satisfy the equation f ( x ) = ( 1/2 ) x - 7 is

A ( 2 , 8 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( 1/2 ) x - 7

The value of f ( x ) = y

So , the ordered pair will be of the point A ( x , y )

a)

( 1 , -6 1/2 )

The value of the point A ( x , y ) = A ( 1 , -6 1/2 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-6 1/2 = ( 1/2 ) 1 - 7

-6 1/2 = 1/2 - 7

-6 1/2 = -6 1/2

Therefore , the ordered pair A ( 1 , -6 1/2 ) satisfies the equation

b)

( 2 , 8 )

The value of the point A ( x , y ) = A ( 2 , 8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

8 = ( 1/2 ) 2 - 7

8 = 1 - 7

8 ≠ -6

Therefore , the ordered pair A ( 2 , 8 ) does not satisfy the equation

c)

( -2 , -8 )

The value of the point A ( x , y ) = A ( -2 , -8 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-8 = ( 1/2 ) ( -2 ) - 7

-8 = -1 - 7

-8 = -8

Therefore , the ordered pair A ( -2 , -8 ) satisfies the equation

d)

( 0 , -7 )

The value of the point A ( x , y ) = A ( 0 , -7 )

So , the equation is f ( x ) = ( 1/2 ) x - 7

Substitute the value of x and y in the equation , we get

y = ( 1/2 ) x - 7

-7 = ( 1/2 ) ( 0 ) - 7

-7 = 0- 7

-7 = -7

Therefore , the ordered pair A ( 0 , -7 ) satisfies the given equation

Hence , the ordered pair A ( 2 , 8 ) does not satisfy the equation

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Answer:

(3x+y) (2x-7y)

Step-by-step explanation:

first write -19xy as a difference and you get 6x^2+2xy-21xy-7y^2

and then take the factor 2x from the expression that is 2x(3x+y) and do the same with the -7 that is = -7(3x+y). So this is you answer= (3x+y)(2x-7)

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

Step-by-step explanation:

32(4x - 1) - 3x = 54 - (x+2) : Do 32 times 4 and -1 as well as -1 times x and 2

128x - 32 - 3x = 54 - x - 2 : Combine like terms

125x - 32 = 52 - x : Add x to both sides

126x - 32 = 52 : Add 32 to both sides

126x = 84 : Divide both sides by 126

x = 0.666666667 : Round to the tenth

x = 0.67 : Final answer

Using the given formula, the sum of S(n) for the arithmetic series is 565.5.

In the given question we have to find the sum S(n) for the arithmetic series

The given formula is S(n)=n/2 {a(1)+a(n)}

The given values are a(1)=12, a(n)=75,n=13

We just have to put values in given formula

S(n)=n/2 {a(1)+a(n)}

S(n)=13/2 (12+75)

S(n)=6.5*87

S(n)=565.5

Hence, the sum of S(n) for the arithmetic series described is 565.5.

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To check, we have 131 + 4 = 135, and 131 x 4 = 524. Neither of these is the desired result.Let's try the next number, 132. Thus the remaining digits will be 6 and 2. Checking, we have 132 + 6 = 138 and 132 x 6 = 792. We have the desired result. Thus the answer is 132 and 6.

Let the 3-digit number be represented as ABC, and the 1-digit number as D. Thus the first equation is written as ABC + D = 138.The second equation is written as (ABC) x D

= 536.From these two equations, we have D

= 536 / ABC.Substitute D

= 536 / ABC in the first equation to get

ABC + 536 / ABC

= 138.We have to get the value of ABC. Multiply through by ABC to get

ABC² + 536

= 138ABC.

Take all the terms to one side, and we get

ABC² - 138ABC + 536

= 0.

Since we are looking for a number between 130 and 150, we need to try and see which numbers work. Thus let's try 131. If 131 is the number, then the remaining digits will be 4 and 1.To check, we have

131 + 4

= 135, and

131 x 4

= 524. Neither of these is the desired result.Let's try the next number, 132. Thus the remaining digits will be 6 and 2. Checking, we have

132 + 6

= 138

and

132 x 6

= 792. We have the desired result. Thus the answer is 132 and 6.

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The goal is to find the parameter values that make the model distribution as similar as possible to the true distribution of the data. One way to measure the similarity between the two distributions is by minimizing the Kullback-Leibler (KL) divergence between them. This makes MLE a method for finding the "closest" distribution to the empirical distribution under the model assumptions.

The Kullback-Leibler (KL) divergence is a measure of how different two probability distributions q(x) and p(x) are from each other. In the context of maximum likelihood estimation (MLE), we are interested in finding the parameter values θ* that make the model distribution p(x; θ*) as similar as possible to the true (unknown) distribution q(x) of the data.

One way to measure the similarity between the model distribution and the true distribution is to minimize the KL divergence between them. The KL divergence from q to p is defined as:

KL(q || p) = ∫ q(x) log(q(x)/p(x; θ*)) dx

where the integral is taken over the support of x. The KL divergence is a non-negative quantity and equals zero if and only if q(x) = p(x; θ*) almost everywhere.

In the context of MLE, we can think of the true distribution q(x) as the empirical distribution of the data, and the model distribution p(x; θ*) as the probability distribution of the data generated by the model with parameter values θ*. The MLE procedure seeks to find the parameter values θ* that minimize the KL divergence between the empirical distribution and the model distribution.

Therefore, we can interpret maximum likelihood as a procedure for finding the parameter values that make the model distribution as close as possible to the empirical distribution in terms of their KL divergence. In this sense, MLE can be seen as a method for finding the "closest" distribution to the empirical distribution under the model assumptions.

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The probability of the poorly thrown dart hitting the target is 0.007.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

The diameter of the dartboard = 24 inches. The diameter of the target is 2 inches, the radius of the target, r = 1 inch.Radius of the dartboard, R = 12 inches.

From the above details, Area of the dartboard = π R² = π (12)² = 144π sq.inches. Area of the bull's eye = π r² = π (1)² = π sq.inches. Probability of hitting the bull's eye = Area of the bull's eye/Area of the dartboard= π/144π= 1/144= 0.0069444444Rounded off to three significant digits, the probability of hitting the target is 0.00695 or 0.007 (rounded up).Hence, the probability of the poorly thrown dart hitting the target is 0.007.

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Answer:

-8xy^5-6xy^4

Step-by-step explanation:

-10xy^5+(2x^3)(y^2)-(6x^2)(y^2)

-10xy^5+2xy^5 -6xy^4

-8xy^5-6xy^4

This should be good but if your teacher requires it just put 0 with the exponent in descending order

Answer:

Answering on an Alt account to give brainliest :p

Step-by-step explanation: