make g the subject of x=3g+2

Answer:

3

(-5x - 3)(-5x + 3)

Step-by-step explanation:

Difference of squares is a special type of factoring when you are subtracting two numbers that are perfect squares. Perfect squares are numbers that, when you find its square root, it is a whole number.

Difference of squares follows this rule:

a² - b² = (√a² - √b²)(√a² + √b²) = (a - b)(a + b)

Notice in the factored form, you take the same number in both brackets. In one set of brackets you add the numbers. In the other brackets, you subtract the numbers.

In (-5x - 3)(-5x + __), the blank in the second bracket will use the same number as the second number in the first brackets.

(-5x - 3)(-5x + 3)

Answer:

11

3Step-by-step explanation:

Given

3(x - 1)² + 2x - 7 ← substitute x = 3 into the expression

= 3(3 - 1)² + 2(3) - 7

= 3(2)² + 6 - 7

= 3(4) - 1

= 12 - 1

= 11

The first step in evaluating the expression is to substitute 3 for x.

The first step in evaluating the expression 3(x-1)^2 + 2x - 7 for x=3 is to substitute 3 for x. This is because before you can simplify or combine like terms, you need to know the value of the variables involved. Once substitution is done, you can proceed with further simplification such as distributing and combining like terms.

Answer:

Option D

Step-by-step explanation:

Just took the quiz :)

Answer:

it is the last answer

Step-by-step explanation:

To solve this ratio problem, we need to determine the relationship between the given numbers and apply it to find the answer.

The given expression is:

9:3 :: 49 :

To solve this, we need to determine the relationship between 9 and 3, and then apply the same relationship to 49.

The symbol '::' represents the ratio or proportion between the numbers before and after it.

9 divided by 3 is equal to 3, so the relationship here is that the first number is three times the second number.

Now, let's apply the same relationship to 49:

49 divided by 3 is equal to 16.33, so we can say that the answer is 16.33.

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The final answer is 9 : 3 :: 49 : 16.33.

Here's a step-by-step solution:

The answer to the question is therefore 49 : 16.33.

Answer:

no

Step-by-step explanation:

24 x 5 = 120

40 x 4= 160

The answer is 591 to the problem.

Koby did not solve the equation correctly. The correct solution for 4(x - 3) = x + 2 is x = 14/3 or approximately 4.667. The steps include distribution, combining like terms, and isolating the variable.

The student's solution contains errors in the algebraic process. The correct steps to solve the original equation 4(x - 3) = x + 2 are as follows:

Distribute the 4 into the parentheses: 4x - 12 = x + 2.

Subtract x from both sides to get all the x terms on one side: 4x - x - 12 = 2.

Simplify the equation: 3x - 12 = 2.

Add 12 to both sides to isolate the variable term: 3x = 14.

Divide both sides by 3 to solve for x: x = 14/3.

The correct solution is x = 14/3 or approximately 4.667, not x = 2 as Koby had. To check the solution, you substitute the value back into the original equation:

4(14/3 - 3) = 14/3 + 2

which simplifies to:

56/3 - 12 = 14/3 + 2

and further to:

56/3 - 36/3 = 14/3 + 6/3

resulting in an identity:

20/3 = 20/3.

Answer:$11200

Step-by-step explanation:

I = prt

I = 40,000( .07)(4)

I = $11200

Answer:

- 6r³.

Step-by-step explanation:

Here, we have to find the product of r², - 3 and 2r.

Now, the product is, P = (r²)(- 3)(2r)

⇒ [tex]P = (- 3) \times (2) \times r^{2}\times r[/tex]

{Seperating each terms as the terms are in product form}

⇒  [tex]P = - 6 \times r^{2 + 1}[/tex]

{Using the property of exponent that [tex]x^{a}\times x^{b} = x^{a + b}[/tex]}

⇒ P = - 6r³ (Answer)

Question:

Crispy clover, a popular vegetarian restaurant, introduced a new menu that had 20% more dishes than the previous menu. The previous menu had D dishes. Which of the following expressions could represent how many dishes crispy clovers new menu has?

Answer:

The expression could represent how many dishes crispy clovers new menu has is:

[tex]D + \frac{1}{5}D \text{ or } 1.2D[/tex]

Solution:

Given that,

The new menu had 20% more dishes than the previous menu

The previous menu had D dishes

Therefore,

Previous menu = D dishes

New menu = 20 % more dishes than previous menu

Which means,

New menu = 20 % of previous menu + previous menu

Therefore,

New menu = 20 % of D + D

Solve the above equation

[tex]New\ menu = 20 \% \times D + D\\\\New\ menu = \frac{20}{100} \times D + D\\\\New\ menu = 0.2 \times D + D\\\\New\ menu = 0.2D + D = \frac{D}{5} + D = 1.2D[/tex]

Therefore, new menu has 1.2D dishes

Answer:

4096

Step-by-step explanation:

4*4=16

16*4=64

64*4=256

256*4=1024

1024*4=4096

if this doesn't work, try the other products

Answer:

1,024

Step-by-step explanation:

Five generations after Amanda.

So, Amanda would be considered generation 0.

1st Generation- 4^1=4

2nd Generation-4×4=16

3rd Generation-16×4=64

4th Generation-64x4=256

5th Generation-256×4=1,024

Answer:

the answer is 97, I'll explain in the comments in a bit

^^

guy above me its right

Answer:

Step-by-step explanation: solution.. 8/10 of candy bar left over to be split into 1/3 pieces...

(8/10)÷1/3=12/5=2.4pieces

Answer:

it's supplementary angles

Step-by-step explanation:

1 + 2 =180

Answer:

41

Step-by-step explanation:

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.  40 prints must she sell next month if she wants to earn at least $2000

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Melissa sells her art online for $49.50 per print.

We need to find how many prints she has to sell to earn atleast $2000.

Let us consider x be the number of prints.

Let us form proportional equation

Forty nine point five zero by one equal tp two thousand by x.

49.50/1=2000/x

Apply cross multiplication

49.50x=2000

Forty nine point five zero times of x equal to two thousand.

Divide both sides by 49.50

x=40.40

Hence 40 prints must she sell next month if she wants to earn at least $2000

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Answer:

104

Step-by-step explanation:

Any expression multiplied by 0 equals 0

when adding or subtracting 0, the quantity doesn't change

Answer:

I think it is 4 or 104. There are 2 ways to look at it.

Way #1:

50 + 50 = 100

100 - 25 = 75

75 x 0 = 0

2 + 2 = 4

0 + 4 = 4

Way #2:

50 + 50 = 100

25 x 0 = 0

100 - 0= 100

2 + 2 = 4

100 + 4 = 104

Total distance walked by Layla is 300 yards

Solution:

Given that,

Layla is walking in a rectangular park

She walks one side that is 50 yards and then the other  side that is 120 yards

Length = 120 yards

Width = 50 yards

Layla develops a cramp in her leg and walks diagonally through the park  to head back home

Let us find the length of diagonal of rectangle

[tex]d=\sqrt{w^2+l^2}[/tex]

[tex]d = \sqrt{50^2+120^2}\\\\d = \sqrt{2500+14400}\\\\d = \sqrt{16900}\\\\d = 130[/tex]

Thus length of diagonal is 130 yards

What is the total distance that layla walked?

Given that Final answer is  perimeter of the triangle park

The diagonal and length and width forms a right angle triangle

Perimeter of triangle = diagonal length + width + length

Perimeter of triangle = 130 + 50 + 120 = 300

Thus total distance walked by Layla is 300 yards

The total distance Layla walked, including the two sides of the park and the diagonal path, is calculated using the Pythagorean theorem to be 300 yards.

The question asks us to find the total distance Layla walked while going through the rectangular park diagonally. Layla first walks one side of the park which is 50 yards long and then the adjoining side which is 120 yards long. To do this, we will first find the length of the diagonal using the Pythagorean theorem and then add it to the sum of the two sides she walked to get the total distance. The Pythagorean theorem states that in a right-angled triangle the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as c2 = a2 + b2.

Applying the Pythagorean theorem to find the diagonal (hypotenuse):

Now, we can find the total distance Layla walked:

Therefore, the total distance Layla walked is 300 yards.

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Answer:

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Step-by-step explanation:

Given:

[tex]y-4=2(x-2)=2x=-4\\\\y=2x[/tex] .......Equation ( 1 )

[tex]4x-2y=5\\2y=4x-5\\\\y=2x-\dfrac{5}{2}[/tex]  .......Equation ( 2 )

Comparing with,  

[tex]y=mx+c[/tex] ......General Slope point form  

Where m =slope  

We get  

[tex]Slope = m1 = 2[/tex]   For Equation ( 1 )

[tex]Slope = m2 = 2[/tex]   For Equation ( 2 )

Hence,

[tex]m1=m2[=2[/tex]

Therefore, Slopes are Equal Hence the Lines are Parallel not Perpendicular.

For Perpendicular we require

[tex]m1\times m2=-1[/tex]

Therefore,

Slopes are Equal, Hence the Lines are not Perpendicular.

Answer:

Check the attachment, then plug in values as needed

Step-by-step explanation:

Option C:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Solution:

Given expression:

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

Summation means sum of the numbers.

Put n = 1  to 5 and sum all the numbers.

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex]

           [tex]=3(0.2)^{1-1}+3(0.2)^{2-1}+3(0.2)^{3-1}+3(0.2)^{4-1}+3(0.2)^{5-1}[/tex]

           [tex]=3(0.2)^{0}+3(0.2)^{1}+3(0.2)^{2}+3(0.2)^{3}+3(0.2)^{4}[/tex]

Using exponential rule: [tex]a^0=1[/tex], so that [tex]0.2^0=1[/tex]

           [tex]=3(1)+0.6+0.12+0.024+0.0048[/tex]

           [tex]=3.7488[/tex]

           = 3.75

[tex]\sum_{n=1}^{5} 3(0.2)^{n-1}=3.75[/tex]

Option C is the correct answer.

Hence approximate value of [tex]\sum_{n=1}^{5} 3(0.2)^{n-1}[/tex] is 3.75.

Answer:

C

Step-by-step explanation:

edge

Answer:

[tex]6\ cm[/tex]

Step-by-step explanation:

First Rectangle:

[tex]length(l_1)=24\ cm\\\\Width(b_1)=9\ cm[/tex]

Second Rectangle:

[tex]length(l_2)=16\ cm\\\\Let\ Width=b_2\ cm[/tex]

[tex]Since\ these\ two\ rectangles\ are\ similar\\\\\frac{l_2}{l_1}=\frac{b_2}{b_1}\\\\\frac{16}{24}=\frac{b_2}{9}\\\\16\times 9=24\times b_2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ cross\ multiplication\\\\b_2=\frac{16\times 9}{24}\\\\b_2=6\ cm[/tex]

Answer:

An acute Angle

Step-by-step explanation:

Any Angle that is from 1 to 89 degrees is considered an acute Angle.

Answer:

  C.  -7x- 5y = -48

Step-by-step explanation:

The vector AB is ...

  AB = B -A = (4, 4) -(-3, -1) = (4+3, 4+1) = (7, 5)

The dot-product of this vector and the one in the direction of the line through B will be 0:

  (7, 5)·(x -4, y -4) = 0

  7(x -4) +5(y -4) = 0

  7x +5y -48 = 0

Multiplying by -1 gives the form we see in answer choice C:

  -7x -5y = -48

Answer:

Step-by-step explanation:

diameter of plate=30+5=35 cm

circumference of cake board=2π r=π d=35 d cm

Answer:

35π cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ← d is the diameter

Here the diameter = 30 + 5 = 35 cm, thus

C = 35π cm

Answer:

factorize form of the equation is  [tex]24(x-1)=0[/tex]  , where  [tex]x=1[/tex]

Step-by-step explanation:

Given Equation:

                        [tex]3x + 21x-24=0[/tex]    

  Adding the terms of 'x' and taking constants on the other side.                        

                    [tex]24x-24=0[/tex]

The sign of the constant will change on changing the side of it.                

                         [tex]24x=24[/tex]

                           [tex]x=\frac{24}{24}[/tex]

                            [tex]x=1[/tex]

So, the value of  'x' is 1

The factorized form of the equation can be made by taking the common value from the equation i.e  

                      [tex]24x-24=0\\[/tex]

                   [tex]24(x-1)=0[/tex]

Answer: The nth term of a geometric progression is Tn = ar^(n-1)

A. 12

B. 3.6

C. -3/4

D. 0.6

Step-by-step explanation:

The nth term of a geometric progression is Tn = ar^(n-1)

Where Tn= nth term

a = first term

r = common ratio

n = number

A. a6 = (2*6) = 12

B. a6 = (0.6*6) = 3.6

C. a6 = (-1/8*6) = -3/4

D. a6 = (0.1*6) = 0.6

Answer:

60

Step-by-step explanation:

5 x (9 + y)

= 5 x ( 9 + 3)

= 5 x (12)

=60

Final answer:

The algebraic expression is 5(9 + y), which becomes 5(12) when y equals 3, resulting in a value of 60.

Explanation:

The algebraic expression for the product of 5 and the sum of 9 and y is 5(9 + y). To find the value of this expression when y equals 3, you substitute 3 for y in the expression, getting 5(9 + 3). Following the order of operations, calculate the sum inside the parentheses first, which gives you 5(12), and then multiply by 5 to find the product, resulting in a final value of 60.

The area of the yard is 50,600 square feet.

Option: C.

Step-by-step explanation:

The given information forms a trapezoid.

The AB is the upper base (a) and its length is 200 feet.

The CD is the lower base (b) and its length is 260 feet.

A straight line distance from AB and CD is the height (h) and its measures as 220 feet.

The area of trapezoid A= [tex]\frac{a+b}{2} (h)[/tex].

A= [tex]\frac{200+260}{2} (220)[/tex].

=[tex]\frac{460}{2}(220)[/tex].

=230(220).

=50600 [tex]ft^2.[/tex]

Thus the area of John's yard is 50,600 square feet.

Answer:

Step-by-step explanation:87

87