Solve the following equation algebraically:
-16 = 16x?
How many solutions does this equation have? Explain.
a. -1 = x3; One solution because only -1 will satisfy the equation.
b. -1 = x2; No real solution because there is no real number that, when squared, produces -1.
c. 1= x?: Two solutions because the square root of 1 is positive 1 and negative 1.
d. 1=-x?: One solution because only -1 will satisfy the equation.

Answer:

B

Step-by-step explanation:

Eight pounds are equal to 128 ounces.

A) False

B) True

C) False

D) True

The value of the given equation is 124.

Since the equation is [tex]2a^3 - a[/tex] and a = 4

So, the value of a is

[tex]= 2a^3 - a\\\\= 2(4)^3 - 4\\\\= 128 - 4[/tex]

= 124

Hence, The value of the given equation is 124.

Learn more about the value here: https://brainly.com/question/4700495

Answer: 18

Step-by-step explanation: 3 + 10 = 13. 3 + 2 = 5. 13 + 5 = 18

Answer:

Step-by-step explanation:

3x + 10 + 3x + 2      add the like terms

(3x + 3x) + (10 + 2)

6x + 12     <--------------------  Final

Answer:

y+5/4 = x

Step-by-step explanation:

I think that this will get really messy if you integrate with respect to y.

Here is what I suggest you do.

=2+82−5y=2x+8x2−5

Evaluated at =1y=1 and =5y=5

1=2+82−5=21=2x+8x2−5x=2

5=2+82−5=1

5=2x+8x2−5x=1

∫10(5−1)+∫212+82−5−1∫01(5−1)dx+∫122x+8x2−5−1dx

Step-by-step explanation:

-3x+7y = -18 ...1

4x-4y = 8 ...2

...1 × 4

-12x + 28y = -72 ...3

...2 × 3

12x - 12y = 24 ...4

...3 + ...4

28y - 12y = -72 + 24

16y = -48

y = -3

Replace y = -3 in ...2

4x - 4(-3) = 8

4x + 12 = 8

4x = 8 - 12

4x = -4

x = -1

Answer:

[tex]\huge\boxed{\boxed{(x,y)=(-1,-3)}}[/tex]

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]

combine the equations:

[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]

divide both sides by -48:

[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]

substitute the value of y to the second equation

[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]

simplify multiplication:

[tex] \displaystyle \: 4x + 12 = 8[/tex]

cancel 12 from both sides:

[tex] \displaystyle \: 4x = - 4[/tex]

divide both sides by 4

[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]

therefore our solution is

[tex]\displaystyle (x,y)=(-1,-3)[/tex]

Answer:

Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]

Step-by-step explanation:

Area enclosed by the figure = 2 x area of the semicircle + area of the square

For the semicircle,

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{42}{2}[/tex]

          = 21 m

area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]

                                = [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]

                                = 692.37 [tex]m^{2}[/tex]

area of a square = length x length

                            = 42 x 42

                            = 1764 [tex]m^{2}[/tex]

Thus,

area enclosed by the figure = 2 x 692.37 + 1764

                                              = 3148.74 [tex]m^{2}[/tex]

The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]

Answer:

34

Step-by-step explanation:

Answer:

Hello your question is poorly written attached below is the complete question

Triangle A is reflected in the X-axis to give triangle B , and Triangle B is reflected in the Y axis to give shape C

ii) Draw triangle B and label it

ii) Draw triangle C and label it

answer : attached below

Step-by-step explanation:

Attached below is The graph showing the Triangles A , B and C drawn and labelled using online tools

Answer:

the mean is 18.2, median is 16, and there is no mode

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

mean is the average of the number.you have to add up all the number then divide it by how many numbers there are.

your question is :30,16,29,14,21 (5 number)

(30+16+29+14+21) / 5 = 22

Answer:

? = 36.87°

Step-by-step explanation:

sin ? = 36/60 = 0.6

? = 36.87°

Answer:

The possible original values of both products are ₹2 or ₹1

Step-by-step explanation:

The question is a word problem leading to simultaneous equations

Let 'x' represent the initial value of the pen and pencil

Therefore;

The final cost of the pen = x + ₹4

The final cost of the pencil = 5·x - ₹6

x + ₹4 > 5·x - ₹6

∴  ₹4 + ₹6 > 5·x - x

₹10 > 4x

₹10/4 > x

₹2.5 > x

Given that x is a natural number, therefore

x ≤ ₹2

The possible original values of both products are ₹2 or ₹1

The possible original value of both products is ₹ 1 and  ₹ 2.

The question is a word problem

Let x represent the initial cost of the pen and pencil since they were initially the same price.

When the costs of the pen was increased by ₹4, its new price is x' = x + 4.

Also, the cost of pencil became ₹6 less than 5 times its original value. So, the new price of the pencil is x" = 5x - 6.

After the revised cost, if the pen was more expensive than the pencil, then we have x' > x".

So, x + 4 > 5x - 6

x - 5x > - 4 - 6

-4x > - 10

x < -10/-4

x < 2.5

Since the initial price of the both products was a natural number, the two natural number less than 2.5 are 1 and 2.

So, the possible original value of both products is ₹ 1 and  ₹ 2.

Learn more about word problems here:

https://brainly.com/question/25693822

Answer:

its the second one i belive

Step-by-step explanation:

Answer:

yes, 3:4

Step-by-step explanation:

The ratio of the side lengths is 6:8 and 18:24 both of which simplify to 3:4

Answer:

77.5506% I believe is the answer unrounded.

77.55% rounded to the nearest hundredth.

77.6% rounded to the nearest tenth.

Step-by-step explanation:

356 = 100%

(356 - 27.23) - 52.69

328.77 - 52.69

276.08

Answer:

m<D = 26

Step-by-step explanation:

<D = x

x + 122 + 32 = 180

x + 154 = 180

x = 180 - 154

x = 26

Answer:

Step-by-step explanation:

<D + 122° + 32° = 180° ( being sum of angles of triangle )

< D = 180° - 154°

< D = 26°

Answer:

2.6 or 2.66

Step-by-step explanation:

multiply 8 x 2 = 16

divide 16 ÷ 6

there i guess