The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.

Answer:

x=1 y=6

Step-by-step explanation:

make equation 3 from equation 1

substitute equation 3 from 2

find x or y from equation 3

Answer:

The crib is 30 inches wide and 23 inches long.

Step-by-step explanation:

Assuming that the crib is rectangular, then the crib has a length L and a width W.

And remember that for a rectangle of width W and length L, the perimeter is:

P = 2*L + 2*W = 2*(L + W)

And the area is:

A = L*W

In this case, the perimeter is 106 in, then:

P = 106in = 2*(L + W)

And we also know that the area is 690 in^2

Then:

A = 690in^2 = L*W

Then we have a system of equations:

106in = 2*(L + W)

690in^2 = L*W

To solve this, first, we need to isolate one of the variables in one of the equations.

Let's isolate L in the first one:

106in/2 = L + W

53 in = L + W

53in - W = L

Now we can replace this in the other equation:

690in^2 = L*W = (53in - W)*W = 53in*W - W^2

690in^2 =  53in*W - W^2

Now we need to solve this for W.

This is a quadratic equation:

W^2 - 53in*W + 690 in^2 = 0

The solutions of this equation are given by Bhaskara's formula:

[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]

Then the two possible solutions of W are:

W = (53in + 7in)/2 = 30in

W = (53in - 7in)/2 = 23in

We can choose any one of these, so let's choose W = 30in

If we replace this in the equation: "53in - W = L"

We can find the value of L:

53in - 30in = 23in = L

Then we have:

W = 30in

L = 23in

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

Notice the change in signs.

---------------------------

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

Answer:

[tex]\frac{1}{2}[/tex] or 0.5 or 50%

Step-by-step explanation:

P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)

= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]

Alternatively

P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]

= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

I wanna say that it's A. curved lines.

Answer:

4.89

Please mark brainliest

Answer:

28 minutes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

80°

78% positive

The measure of the unknown angle is 70 degrees

In circle geometry, there is a theorem that states that the angle at the centre of a circle is twice the angle at the circumference

Given the following parameters;

Angle at the circumference = x

Angle at the centre = 140 degrees

Using the given theorem;

140 = 2x

Swap

2x = 140

x = 140/2

x = 70

Hence the measure of the unknown angle is 70 degrees

Learn more here: https://brainly.com/question/19906109

Answer:

A. The letters can be repeated

Step-by-step explanation:

Hope it helps

#CarryOnLearning

Answer:

s = 31t

Step-by-step explanation:

s = 31(1) =31 students

s = 31(3) = 93 students

For every teacher, there are 31 students

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

Answer:

4

Step-by-step explanation:

the smaller triangle is being enlarged 4 times

1.5x4 = 6

Answer:

18.8 you are right

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If two chords intersect in a circle, then (product of segments of Chord 1) = (product of segments of Chord 2)

=> 8 × 15 = 10 × x

=> x = 8 × 15 ÷ 10

=> x = 12

Answer:

solution:

[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer

Answer:63

Step-by-step explanation:

Answer:

Your profile picture I love it

Answer:

the value of x is 4

Step-by-step explanation:

i think that is the value of x

Answer:

1. 71.25 ft^2

2. $2764.80

3. 84 in^2

4. 6 inches

Step-by-step explanation:

1. Area of a triangle is base x height x 1/2

2. Multiply the area by the amount: A = 768 so 768 x 3.60 = total cost

3. Area of a trapezoid is (base x height) x height / 2

4. Area of triangle is base x height x 1/2 so if you multiply the area by 2 and divide by 18, you can find the base, which is 6

Hope this helped! :)

1. 71.25 ft

2. $2,764.8

3. 84 in

4. 6 in

Answer:

95% confidence interval for the mean

(6.61251, 7.38749)

Step-by-step explanation:

Step:-1

Given that a random sample 'n' = 60

Given that mean of the sample x⁻ = 7.0

Given that the standard deviation of the sample (S) = 1.5

Level of significance = 0.05

Degrees of freedom = n-1 = 60-1 = 59

t₍₀.₀₅ , ₙ₋₁₎ = 2.0010

Step(ii):-

95% confidence interval for the mean is determined by

[tex](x^{-} - t_{0.05,n-1} \frac{S.D}{\sqrt{n} } , x^{-} + t_{0.05 , n-1} \frac{S.D}{\sqrt{n} } )[/tex]

[tex]( 7.0 - 2.0010 \frac{1.5}{\sqrt{60} } , 7.0 + 2.0010 \frac{1.5}{\sqrt{60} } )[/tex]

(7.0 - 0.38749 , 7.0 + 0.38749)

(6.61251 , 7.38749)

Final answer:-

95% confidence interval for the mean

(6.61251 , 7.38749)

Answer:

Step-by-step explanation:

The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.

Answer:

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Step-by-step explanation:

Sea una recta:

f(x) = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:

g(x) = a*x + c

Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)

Entonces podemos escribir la línea perpendicular a f(x) como:

h(x) = -(1/a)*x + c

Ahora veamos nuestras líneas:

A(x) =  y = −3*x+5

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

C(x) = y = -3*x + 1

Primero veamos cuáles son paralelas:

A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces  A y C son paralelas.

Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:

-(1/-3) = 1/3

Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.

A y C: paralelas

B y A: perpendiculares

B y C: perpendiculares.

Answer:

319.5% divided by 3.37

Step-by-step explanation:

Answer:

$960

Step-by-step explanation:

8000*0.03=240

240*4=960

Answer:

A

I took a picture of your mom and my phone ran out of storage.

Answer: 7.71%

Step-by-step explanation:

Number of students in a school last year = 700

Number of students in a school this year = 646

Reduction in the number of students = 700 - 646 = 54

The percentage reduction will be:

= Reduction in number / Last year students × 100

= (54 / 700) × 100

= 7.71%

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3