Rewrite without parentheses.
3
-4bc²(7b²³-5b5c6 +8c6)

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

EXPLANATION

Given the functions:

g(x) = x+1 and h(x) = 2x^2

First, the expression (g+h)(x) will be as shown as follows:

Assign the function g=x+1

=( x + 1 + h(x) ) (x)

Assign the function h=2x^2

(g*h)(x):

Assign the function g=x+1

=((x+1)h(x))(x)

Assign the function h= 2x^2

=(x+1)*2x^2

Expanding (x+1)*2x^2

=2x^3+2x^2

(g-h)(-1)​:

Assign the function g=x+1

=(x+1 -h(x)) (x)

Assign the function h=2x^2

=(x+1-2x^2)(-1)

Evaluating (x+1-2x^2)(-1): -2

=-2

Answer: 9x

Step-by-step explanation:

Answer:

4x - 13 = 17

Step-by-step explanation:

Answer:

A. 2x + 20

B. 20y + 15

C. 21c - 7

D. 24n + 28

E. 10x - 50

F. 18n + 45

Answer:

a)2x+20

b)20y+15

c)21c-7

d)24n+28

e)10x-50

f)18n+45

Step-by-step explanation:

a)2(x+10)=2*x+2*10=2x+20

b)5(4y+3)=5*4y+5*3=20y+15

c)7(3c-1)=7*3c-7*1=21c-7

d)4(6n+7)=4*6n+4*7=24n+28

e)10(x-5)=10*x-10*5=10x-50

f)9(2n+5)=9*2n+9*5=18n+45

The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the length of AB x and the length of BC y.

First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:

Area of triangle ABC = 1/2 * CD * AB

Substituting the given values, we have:

1/2 * 12 * x = 6x

So the area of triangle ABC is 6x square centimeters.

We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:

tan(30) = x/y

Simplifying, we get:

y = x/tan(30) = x/(1/√(3)) = √(3) * x

Now we can use the formula for the area of a triangle in terms of its sides:

Area of triangle ABC = 1/2 * AB * BC * sin(B)

where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:

Area of triangle ABC = 1/2 * x * √3 * x * sin(60)

Simplifying, we get:

Area of triangle ABC = 1/4 * √3 * x²

Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:

6x = 1/4 * √(3) * x²

Multiplying both sides by 4/√3, we get:

24/√(3) * x = x²

Simplifying, we get:

x² - 24/√(3) * x = 0

Using the quadratic formula, we get:

x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1

Simplifying, we get:

x = 16√(3) / 3 or x = 8 √(3) / 3

Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:

y = √(3) * x

Therefore, we have two possible triangles:

Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3

Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3

The perimeter of each triangle is the sum of its side lengths. Therefore:

Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm

Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm

hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

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Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

16g + 6 (option B) is the correct answer.

If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side​ are:  17, 20, and 21.

To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:

   9 + 12 > x

   9 + x > 12

   12 + x > 9

Simplifying these inequalities, we get:

   x > -3 (always true)

   x > -9 (always true)

   x > -3 (always true)

Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).

The possible lengths for the third side are:

   9 + 12 > x, so x < 21

   9 + x > 12, so x > -3

   12 + x > 9, so x > -3

Therefore, the possible lengths for the third side of the triangle are:

   17 (9 + 12 = 21, which is greater than 17)

   20 (9 + 12 = 21, which is greater than 20)

   21 (9 + 12 = 21, which is equal to 21)

So, the three possible lengths for the third side of the triangle are 17, 20, and 21.

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The complete question is:

A triangle has one side length of 9

centimeters (cm) and another side length of 12

cm.

Which answers are possible lengths for the third side?

Select three that apply

17

22

9

21

20

3

The equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

There are infinitely many numbers equivalent to 7/11

since 7/11 is a fraction that can be simplified in different ways.

We can multiply the numerator and denominator with the same number to get the equivalent fractions

7/11×2/2 = 14/22

7/11×3/3= 21/33

7/11×4/4 =28/44

7/11×5/5 =35/55

Hence, the equivalent fractions of 7/11 are 14/22, 21/33, 28/44 and 35/55

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Answer:

Here the answer

Step-by-step explanation:

I hope it helps you

Answer:

−4.6p−6.3p+3.9=−9.18

−4.6p+−6.3p+3.9=−9.18

(−4.6p+−6.3p)+(3.9)=−9.18(Combine Like Terms)

−10.9p+3.9=−9.18

−10.9p+3.9=−9.18

Step 2: Subtract 3.9 from both sides.

−10.9p+3.9−3.9=−9.18−3.9

−10.9p=−13.08

Step 3: Divide both sides by -10.9.

−10.9p

−10.9

=

−13.08

−10.9

p=1.2

Answer:

\( \boxed{p = 1.2} \)

Step-by-step explanation:

\(Solve \: for \: p: \\ = > -4.6p - 6.3p+3.9=-9.18 \\ \\ -4.6p-6.3p=-10.9p: \\ = > - 10.9p +3.9=-9.18 \\ \\ Subtract 3.9 \: from \: both \: sides: \\ = >

(3.9-3.9)-10.9p=-3.9-9.18 \\ \\3.9-3.9=0: \\ = > - 10.9p =-3.9-9.18 \\ \\ -3.9-9.18 = -13.08: \\ = > - 10.9p = - 13.08 \\ \\ Divide \: both \: sides \: of \: - 10.9 p = - 13.08 \: by \: - 10.9: \\ = > \frac{ \cancel{ - 10.9}p}{ \cancel{- 10.9}} = \frac{ - 13.08}{ - 10.9} \\ \\ \frac{ - 10.9}{ - 10.9} = 1: \\ = > p = \frac{ \cancel{- }13.08}{ \cancel{- }10.9} \\ \\ \frac{13.08}{10.9} = 1.2: \\ = > p = 1.2\)

Answer: $5400

im assuming you want the total cost?

4000+1400=5400

Answer:

Step-by-step explanation:

Simple interest is

I=Prt where P= principle, r=rate, t=time

r=I/(Pt)

r=1400/(4000(7))

r=0.05

r=5%

(n-1) where n= 3

Answer is 2

(n - 1)!

n = 3

( 3 - 1)!

2!

= 1 × 2

= 2

n = 2

(2 - 1)!

1!

= 1

n = 5

(5 - 1)!

4!

= 1 × 2 × 3 × 4

= 24

n = 6

(6 - 1)!

5!

= 1 × 2 × 3 × 4 × 5

= 120

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x=7.5

Step-by-step explanation:

10+10+10=4x

30=4x

x=7.5

Answer:

x=7.5

Step-by-step explanation:

First you would simplify:

30=4x

Next isolate x:

30/4=x

again, simplify:

7.5=x or, 7 1/2=x

y=55x is the expression for the amount of money obtained from the sale of x units of product.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation. Linear equations are classified into three types: point-slope, standard, and slope-intercept.

Here,

Let sale of x units of product.

y=55x

The expression for the amount of money received from sale of x units of product is y=55x.

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The electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

The electric field is a vector field that represents the force experienced by a charged particle due to an electric charge distribution. It is a measure of the electric force per unit charge at a particular point in space. The electric field is defined as the negative gradient of the electric potential, which is the energy per unit charge that a charged particle would have at that point in space. The electric field can be used to calculate the force experienced by a charged particle in the presence of other charges, and is a fundamental concept in the study of electromagnetism.

The electric field force between two point charges is given by Coulomb's law:

F = k * (q₁ * q₂) / r²

where k is the Coulomb constant (8.99 x 10⁹ N m²/C²), q₁ and q₂ are the magnitudes of the charges, and r is the distance between the charges.

To calculate the work done by the electric field force, we need to find the force at the initial distance (0.30 m) and the final distance (1.05 m), and then subtract the work done at the initial distance from the work done at the final distance.

At a distance of 0.30 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (0.30 m)² = 4.02 x 10⁻⁸ N

The work done at this distance is:

W = F * 0.30 m = 1.21 x 10⁻⁷ J

At a distance of 1.05 m, the force is:

F = k * (1.75 x 10⁻⁸ C)² / (1.05 m)² = 1.33 x 10⁻⁸ N

The work done at this distance is:

W = F * 1.05 m = 1.40 x 10⁻⁷ J

Finally, to find the total work done, we subtract the work done at the initial distance from the work done at the final distance:

W total = W final - W initial = 1.40 x 10⁻⁷ J - 1.21 x 10⁻⁷ J = 1.90 x 10⁻⁸ J.

Therefore, the electric field force does 1.90 x 10⁻⁸ J of work to move the two point charges from 0.30 m to 1.05 m apart.

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The value of side GH as shown in the parallelogram is 2 units

Parallelogram is a polygon that has four sides (quadrilateral) and opposite sides are always equal and parallel to each other

Two shapes are said to be similar if they have the same shape and the ratio of their corresponding sides are proportional. Also, their corresponding angles are equal to each other.

Parallelogram abcd is similar to parallelogram efgh, hence:

FG/BC = GH / CD

substituting:

7/21 = GH / 6

GH = 6 * 7/21 = 2

GH is 2 in

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The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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Answer:

x=5

y=2

Step-by-step explanation:

5x + 3y= 31

-6x - 3y = -36  (multiple  by -3)

-x=-5

x=5

2(5)+y=12   or         25 + 3y= 31

10+y=12                  3y=6

y=2                          y=2

Answer:

x = 5, y = 2

Step-by-step explanation:

I'll use substitution on this one, which makes me choose one of the equation and solve for x. (5x + 3y = 31 was chosen)

5x + 3y = 31

Subtracct 3y from both sides

5x = -3y + 31

Divide both sides by 5

x = 1/5 (-3y + 31)

Multiply 1/5 by -3y + 31

x = -3/5y + 31/5

Substitute -3/5y + 31/5 for x in the other equation (2x + y = 12)

2 (-3/5y + 31/5) + y = 12

Multiply -3/5y + 31/5 by 2.

-6/5y + 62/5 + y = 12

Add -6/5y to y

-1/5y + 62/5 = 12

Subtract 62/5 from both sides

-1/5y = -2/5

Multiply both sides by -5

y = 2

Now head back to the previous equation, except substitute y for 2.

x = -3/5 * 2 + 31/5

Multiply -3/5 by 2.

x = (-6 + 31)/5

Add -6 and 31

x = 25/5

Divide 25 by 5.

x = 5

Formulate 5 and 2 for x and y in the equation.

5(5) + 3(2) = 31

2(5) + 2 = 12

25 + 6 = 31; true

10 + 2 = 12; true

x is 5 and y is 2.

Answer:

Triangle Q R P is shown. The length of Q R is 5 and the length of R P is 6. Angle Q R P is 40 degrees.

Step-by-step explanation:

The trigonometric formula refers the two sides length of the triangle and it also consists of included angle to find out the area

A = \(\frac{1}{2}\) ab sin C

QPR contains two sides and the included angle

XYZ has one side and the two angles

DEF has only three sides

And, the ABC contains two sides but does not have the included angle

Based on the explanation above, the correct option is B

Answer: the second option aka B

Step-by-step explanation: The other person explained it and I'm just here to tell you they gave the correct and answer for edge 2020.

Answer:

5/28

Step-by-step explanation:

So first find a common denominator

4/7 + 1/4 can be translated as 16/28+7/28

16/28+7/28=23/28

NOw we have to subtract 23/28 from1, or 28/28, and that is 5/28

Answer: 5/28 left over.

Step-by-step explanation:

Make both of the fractions have the same denominator:

4/7 x 4/4 = 16/28

1/4 x  7/7 = 7/28

Combine:

16/28 + 7/28 = 23/28

So on Friday you have 5/28 of the item left over.

\(\large \bf \implies{53.1 \degree}\)

\( \bf \longrightarrow \: sin \: α = \frac{8}{10} = 0.8 \\ \\\bf \longrightarrow \: α = arc \: sin (0.8)= 53.1°\)

the perimeter of the figure is 18π 4 units( exact value). still, you can use a calculator to get a decimal approximation, If you need to compare . The answer of the given question grounded on the a cube and a quarter circle the answer is given below,

What's Quarter circle?

Quarter circle is one- fourth of full circle. It's type of indirect sector that covers 90 ° degrees of circle's circumference, forming right angle at center of circle. The area of quarter circle is equal to one- fourth area of full circle, and border of a quarter circle is equal to one- half circumference of full circle.

For the first figure, the border can be set up by adding up the lengths of all the sides. We have

Perimeter = 123.14( 2) 63.14( 1) = 126.28 63.14 = 27.42

So, the border of the first figure is27.42 units( rounded to two decimal places).

For the alternate figure consists of two quarter circles and a forecourt. To find the border of the figure, we need to find the lengths of all the sides and add them up.

We have

Circumference = πd = π( 4) = 4π

thus, the length of one side of the forecourt is 4π. The border of the figure can also be calculated as

Perimeter = 4( 4π) 2( π) 4 = 16π 2π 4 = 18π 4

So, the border of the figure is 18π 4 units( exact value). still, you can use a calculator to get a decimal approximation, If you need to compare .

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Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).

So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?

\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)

Answer:

y = -3(x + 1)^2 + 2

Step-by-step explanation:

y = a(x - h)^2 + k is the vertex form of a quadratic, where

Finding (h, k):

We see from the graph that the vertex is a maximum and its coordinates are (-1, 2).  Thus h is -1 and k is 2.  Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).

Finding a:

In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k.  We see that (0, -1) lies on the parabola so we can use this point for (x, y).

-1 = a(0 - (-1))^2 + 2

-1 = a(0 + 1)^2 + 2

-3 = a(1)^2

-3 = a

Thus, a = -3.

Thus, the exact equation in vertex form of the parabola is:

y = -3(x + 1)^2 + 2

I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.

Answer:

-6x + 21

Step-by-step explanation:

9 - 3(2x - 4)

9 - 6x + 12

-6x + 21

Answer:

Least TO Greatest

2 3/10, [-4], [-6], [8], [12.3], [-20]

Step-by-step explanation:

Hope this helps!

The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.

Given the amount of money that is the principal = $6000

Rate = 4% compounded quarterly.

Time = t

Amount = $8670

Now we know that the amount is calculated by the formula:

A = P(1+r/4)ⁿ

8670 = 6000(1+0.01)ⁿ

Hence

log 1.445 = n log 1.01

or, n = 36.99

Number of years = 36.99 / 4 = 9.24 years.

The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.

If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.

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Answer:

18 dollars

Step-by-step explanation:

sunglasses = 6 dollars

sandals = 3 * sunglasses

             = 3 * 6 dollars

             = 18 dollars

The maximum daily profit the company can earn is $2,350.

It is a set of points in a coordinate plane that represents the values of the function for different inputs.

The function P(x) = −6x² + 156x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.

Therefore, the maximum daily profit the company can earn is $2,350.

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