What is the solution to the system?

Answer:

1700 tornillos

Step-by-step explanation:

Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.

Deje que el número total de tornillos producidos ese día sea x

Por lo tanto;

3% de x = 51

3/100 * x = 51

x = 51 * 100/3

x = 1700 tornillos

Answer:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

This can be written as the difference of 2 squares:

(a^4 - 8a^2b^2 + 16b^4) -81

= (a^2 - 4b^2)^2 - 81

=[(a^2 - 4b^2) + 9] [(a^2 - 4b^2) - 9]

= [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

The factorized form of the given expression will be as:

[(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The expression is given in the question as:

(a⁴ - 8a²b² + 16b⁴) - 81

We have to determine the factorized form of the given expression

As per the given question, the required solution would be as:

(a⁴ - 8a²b² + 16b⁴) - 81

This can be written as the difference between 2 squares:

⇒ (a² - 4b²)² - 81

⇒ [(a - 4b²) + 9] [(a² - 4b²) - 9]

⇒ [(a - 2b)(a + 2b) + 9)][(a - 2b)(a + 2b) - 9]

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Answer:

x = 15

Step-by-step explanation:

75 + 10x = 225

subtract 75 from both sides

10x = 150

divide both sides by 10

x = 15

Answer:

x = 15

Step-by-step explanation:

75 +10x = 225                 Given

75-75+10x = 225-75       Subtract 75 from each side (to isolate x)

10x = 150                         After

10x/10 = 150/10               Divided each side by 10 (to get the unite rate of x)

x = 15                               Answer

9514 1404 393

Answer:

  yes, SAS

Step-by-step explanation:

Two sides are given, either side of a vertical angle. So, the angles are the same. If the sides are proportional, the similarity will be by SAS (two sides, either side of an angle).

The ratios of short to long sides are ...

  39/52 = (3·13)/(4·13) = 3/4

  63/84 = (3·21)/(4·21) = 3/4

The sides are proportional and the angle between them is congruent, so ...

  the triangles are similar by SAS.

Given:

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

To find:

The value of given expression by using the Laws of Exponents.

Solution:

We have,

[tex]\left(-\dfrac{2}{3}\right)\times \left(-\dfrac{2}{3}\right)^3[/tex]

Using the Laws of Exponents, we get

[tex]=\left(-\dfrac{2}{3}\right)^{1+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\left(\dfrac{-2}{3}\right)^{4}[/tex]

[tex]=\dfrac{(-2)^4}{(3)^4}[/tex]      [tex][\because \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}][/tex]

[tex]=\dfrac{(-2)\times (-2)\times (-2)\times (-2)}{(3)\times (3)\times (3)\times (3)}[/tex]

[tex]=\dfrac{16}{81}[/tex]

Therefore, the value of given expression is [tex]\dfrac{16}{81}[/tex].

Answer:

<A and <C

Step-by-step explanation:

If EA and EC are congruent, the angles <A and <C are also congruent

Answer:

angle A congruent to angle C

Answer:

The answer is

x = 12

Answer:

x = 12

Step-by-step explanation:

-x = 102 - 114

-x = - 12

cancel the minuses

x = 12

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

domain -are all values of x

c -because x can take any value except 1

Answer:

Answer: D) inverse operations

Subtraction is the inverse operation of addition

Step-by-step explanation:

please mark as brainliest!!

Answer:

6x +35 +9x = 15(x+4)

6x +35 +9x = 15x + 60

15x +35 =15x +60

0x= 25

0x= no solution

Step-by-step explanation:

The equation has no solution.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given is an equation, 6x +35 +9x = 15(x+4), we need to find the solution,

6x +35 +9x = 15(x+4)

6x +35 +9x = 15x + 60

15x +35 =15x +60

0 = 25

Since, 0 ≠ 25, this is a contradiction.

Therefore, the equation has no solution.

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Answer:

3/4(x^2)

Step-by-step explanation:

........................

Answer:

a) 3<x<8

b) -4<x<-2

c) -6<x<5

d) -21/4 < x-8/3

e) 0<x<7

Step-by-step explanation:

Given the following inequalities

a)  x > 3, 2x - 3 < 15

Solve 2x - 3 < 15

2x < 15+3

2x<18

x<18/2

x<8

Combine x>3 and x<8

If x>3, then 3<x

On combining, we have:

3<x<8

b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7

25 > 1 - 6x

25-1>-6x

24>-6x

Divide through by -6:

24/-6 > -6x/-6

-4 <x

For the inequality 1 > 3x + 7

1-7>3x

-6>3x

-6/3 > 3x/3

-2 > x

x < -2

Combining both results i.e -4 <x and x < -2, we will have:

-4<x<-2

c) For the inequalities 2x - 7<3< 27 + 4x

On splitting:

2x - 7<3 and 3< 27 + 4x

2x < 3+7

2x<10

x<5

Also for 3< 27 + 4x

3-27<4x

-24<4x

-24/4 < 4x/4

-6<x

Combining both solutions i.e x<5 and -6<x will give;

-6<x<5

d) For the inequalities 3x + 8 <0 < 21 + 4x

3x + 8 <0

3x < -8

x < -8/3

Also for 0 < 21 + 4x

0-21<4x

-21<4x

-21/4 < 4x/4

-21/4 < x

Combining -21/4 < x and x < -8/3 will give;

-21/4 < x-8/3

e) For the inequalities 5x - 36 < -1 < 2x – 1​

Split:

5x - 36 < -1

5x < -1+36

5x<35

5x/5 < 35/5

x < 7

For the expression -1 < 2x – 1​

-1+1 < 2x

0 < 2x

0<x

Combining both inequalities 0<x and x < 7 will give:

0<x<7

Answer:9

Step-by-step explanation: f(2)  ((2)+1)^2

Answer:

f(2) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = (x + 1)²

f(2) is x = 2

Step 2: Evaluate

Answer: x = 4

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

You didn't give further information that will be useful in solving the question but let me help out.

Let's say the price of a car is $30,000 and the sales tax is 4%, the tax that will be added to the car would be:

= 4% × $30,000

= 4/100 × $30,000

= 0.04 × $30,000

= $1200

Answer:

4 free wedges of cheese

Step-by-step explanation:

From the above question:

3 sticks of butter purchased = 1 free wedge of cheese

12 sticks of butter purchased = x

Cross Multiply

3 × x = 12 × 1

x = 12/3

x = 4 free wedges of cheese

Therefore, when Baby Jr. Buys 12 sticks of butter, she will receive 4 free wedges of cheese.

Answer:

X=3

Step-by-step explanation:

Give the other person the brainliest since they asked for it >> also I saw your had ray as your pfp yesssss

Answer:

Step-by-step explanation:

(-3, -3)

the third quadrant has x values negative and y values negative

Answer:

Diana is 36

1

64

-

28

--------

3  6

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

64-28= 36

I think my math is right I hope this helps good luck!

Answer:

25 , 30

Step-by-step explanation:

x > 50 -28

x > 22

x is greater than 22.

Answer:

Step-by-step explanation:

D and E because x must be greater than 23

Answer:

The distance between the points is equal to 267 feet

Step-by-step explanation:

In order to find the distance between the highest and the lowest points in the park we just have to subtract the the lower height from the higher height and the resulting difference will be equal to the distance between the two points. And so we get..........

235 - (-32) = 235 + 32 = 267

(Notice that the 32 feet are written as (-32) because the lowest point is 32 feet below the sea level).

Answer:

An elevator can hold up to about 2000 pounds of weight.The combined weight of everyone currently in the elevator is 1980 pounds. Write an inequality showing the possible amount of weight that can be added to the elevator. S can be your variable hope this helps.

Answer:

C. In a polynomial, you are not allowed to have a variable in a denominator.

Answer:

c

Step-by-step explanation:

because you can't have an exponent in the denominator

Expand the binomial:

(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i )²

… = 2/25 + √2 i + 25/4 i ²

… = -617/100 + √2 i

Answer:

Step-by-step explanation:

here you go mate

step 1

(x^3)4  equation

step 2

(x^3)4  simplify

answer

4x^3

can i get brainliest if you dont mind

Answer:

The slope of the line is 3.

Step-by-step explanation:

Remember:

[tex]Slope = \frac{rise}{run} [/tex]

Answer:

Circle 1=6x+2y

Rectangle 4 = 3x+y

Circle 4 = 5x

Step-by-step explanation:

4x+3y and 2x-y can be added to find result for the circle.

Let C1 represent circle 1

4x+3y+2x-y=C1\\

Combining\:like\:terms\\

4x+2x+3y-y=C1

6x+2y=C1

So, The result is: C1=6x+2y

Now, We need to solve:

Let R1 represent rectangle 4

x+4y + R1 = 4x+5y

R1=4x+5y-(x+4y)

R1=4x+5y-x-4y

R1=4x-x+5y-4y

R1=3x+y

So, Solving x+4y + R1 = 4x+5y, We get R1 = 3x+y

Now, We need to solve the equation:

Let C4= Circle 4

2x-y+3x+y=C4

Combining the like terms

2x+3x-y+y=C4

5x=C4

So, Solving 2x-y+3x+y=C4 we get C4 = 5x

Answer:  20 songs is the initial value.

Step-by-step explanation: The graph shows that at the beginning of January was 20. She adds 5 songs per month.

The equation would be y = 5x + 20  where y is her total number of songs and x is the number of months that have passed.

Answer:

I think the answer is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

for a triangle inscribed in a semicircle that angle is always 90 degrees

9514 1404 393

Answer:

  C.  90°

Step-by-step explanation:

A triangle inscribed in a semicircle is always a right triangle. The measure of angle Y, which subtends an arc of 180°, is half the measure of the arc it subtends, so is 180°/2 = 90°.