The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the system.

2 x minus 3 y = negative 6. y = negative one-third x minus 4
Enjoli’s Graph

If the lowest common multiple of p, 63 and 81 is 1134. a possible value of p is 14

To find a possible value of p, we can use the property of the lowest common multiple (LCM) that the LCM of two numbers is equal to their product divided by their greatest common divisor (GCD). We can apply this property to the three numbers p, 63, and 81:

LCM(p, 63, 81) = (p * 63 * 81) / GCD(p, 63, 81) = 1134

We can find the GCD of p, 63, and 81 using the Euclidean algorithm:

GCD(p, 63, 81) = GCD(p, GCD(63, 81)) = GCD(p, 9)

Since 9 is a divisor of 63 and 81, it is also a divisor of 1134. Hence, we can simplify the equation:

1134 = (p * 9 * 81) / 9 = p * 81

Dividing both sides of the equation by 81, we get:

p = 1134 / 81 = 14

So, one possible value of p is 14.

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Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have \(x1\)=2    \(x2\)=-11

then quadratic function will be

(x+2) (x+11)

\(x^2+2x+11x+22\)

\(x^2+13x +22\)

this is our required quadratic equation.

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Complete question is: Write a quadratic function f whose zeros are 2 and -13.

Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.

Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.

Now we have x¹ = 2    x² = -11

then quadratic function will be

(x+2) (x+11)

x² + 2x + 11x + 22

x² + 13x + 22

This is our required quadratic equation.

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The complete question is-

Write a quadratic function f whose zeros are 2 and -13.

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Mr. Olsen has a PC business wherein he sells everything at 44.5% above the wholesale price. On the off chance that he bought a printer for $80 wholesale.

Then the retail price is given as,

⇒ $80 x (1 + 0.445)

⇒ $80 x 1.445

⇒ $115.60

If he purchased a printer for $80 wholesale. Then the retail price will be $115.60.

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Answer:

i) x = 0.25 and 1.25

ii) x = -0.5 and 1.5

Step-by-step explanation:

Given that y = 4x² - 4x - 1. So for question 1, you can let y = 0, then see which x-value did the curve touches 0 at y-axis.

Same for question 2.

For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

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Answer:

$20

Step-by-step explanation:

divide 60÷12 =5 gives the cost of one book

multiply 5×4=20

Answer:

it's was helpful to you dear

\(x = - 5 \\ \\ y = 3\)

The probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

To find the probability that Greg winds up wearing the white shirt and tan pants while getting dressed in the dark, we need to find out all the possible outfit options. According to the question given, first we nned to find out number of outfit combinations possible.

Total number of Outfit Combinations:

There are 4 shirts: a white one, a black one, a red one, and a blue one and also two pairs of pants, one blue and one tan. So, total number of possible outfit combinations would be 4 * 2 = 8.

No of favourable options:

As given in the question, Greg wears white shirt and tan pants. There is only one white shirt and one tan pant. So, number of favourable options would be only 1 .

Probability = Number of favourable outcomes/Total no. of combinations

Probability = 1/8

Probability = 0.125 or 12.5%

Therefore, the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants is 0.125 or 12.5%.

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Answer:

1 1/3

Step-by-step explanation:

Answer:

7/6

Step-by-step explanation:

1/3+4/8+6/18=7/6

Answer:

Step-by-step explanation:

Answer:

Divide through by 2

which will give -1 over 5

Insured = 72%.

Uninsured = 28%.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Here is a table classifying 116 thousand US households (in thousands) in

2013 by tenure and insurance status:

Insurance status      Owns home   Rents home

Insured                              71                13

Uninsured                         27               5

Total house = 71 + 13 + 5 + 27 = 116

Insured = (71 + 13)/116 = 72%.

Uninsured = (5 + 27)/116 = 28%.

Therefore, 72% = insured and 28% = uninsured.

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After using the Pythagorean theorem the missing length of c is √148

What is the Pythagorean theorem in plain English?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse.

How may the Pythagorean Theorem be demonstrated the simplest way?

Angles CAB, AC'B, and AB'C must be equal in order for AC2 + AB2 to equal BC(CB' + BC'). Triangles ABC, AC'B, and AB'C are indeed comparable. Since AB/BC' = BC/AB and AC/CB' = BC/AC, we have the necessary identity right away. Theorem reduces to Pythagorean proposition and proof if angle A is correct.

Pythagorean Theorem: a²+b²=c²

so (12)^2+(2)^2 = 144+4 = 148

c²=148

c=√148

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Sarah requires the purchase of additional 12 tickets to ensure her participation in the seven activities at the fair.

The additional tickets required by Sarah can be determined as follows:

Number of tickets purchased initially = 15

Number of tickets for playing a game = 3

Number of tickets for riding a ride = 6

Sarah can play five (5) games with 15 tickets (15/3).

Sarah can then purchase 12 additional tickets (6 x 2).

The later action enables Sarah to participate in 5 games and 2 rides, making it a total of 7 activities.

Thus, by purchasing additional 12 tickets, Sarah can participate in 5 games and 2 rides, making it a total of 7 activities.

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How many more tickets does Sarah require to ensure her participation in the seven activities at the fair?

For w = \(7\frac{1}{2}\) makes the equation true.

What is solving an equation ?

Unifying Principle for Equation Solving

By deleting parenthesis and grouping like terms, each side of the equation can be made simpler.

The variable term on one side of the equation can be separated using addition or subtraction.

To find the variable, use multiplication or division.

Consider, the given equation

\(\frac{2}{3}(w+3)=7\)

Multiplying both sides by 3, we get

\(\frac{2}{3}(w+3)(3)=7(3)\\ 2(w+3)=21\\2w+6=21\)

Subtract 6 from both sides,

2w + 6 - 6 = 21 - 6

           2w = 15

Divide both sides by 2,

\(w = \frac{15}{2}\)

15/2 can be written as,

\(7\frac{1}{2}\)

Hence, the value of w is, \(7\frac{1}{2}\).

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Answer:

ps is perpendicular to line ur.

angle pvr is 90°

12x+3x=90°

15x=90°

x=90°/15

x=6

by putting value of x

12x=72°

Step-by-step explanation:

Step 1 :Equation at the end of step 1

 (((x3) +  7x2) +  4x) -  12

Step 2 :Checking for a perfect cube

2.1    x3+7x2+4x-12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+7x2+4x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2

Group 2:  4x-12

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3+7x2+4x-12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -10.00    

     -2       1        -2.00        0.00      x+2

     -3       1        -3.00        12.00    

     -4       1        -4.00        20.00    

     -6       1        -6.00        0.00      x+6

     -12       1       -12.00        -780.00    

     1       1        1.00        0.00      x-1

     2       1        2.00        32.00    

     3       1        3.00        90.00    

     4       1        4.00        180.00    

     6       1        6.00        480.00    

     12       1        12.00        2772.00    

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3+7x2+4x-12

can be divided by 3 different polynomials,including by  x-1

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3+7x2+4x-12

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x3  +  7x2  +  4x  -  12

- divisor  * x2     x3  -  x2        

remainder         8x2  +  4x  -  12

- divisor  * 8x1         8x2  -  8x    

remainder             12x  -  12

- divisor  * 12x0             12x  -  12

remainder                0

Quotient :  x2+8x+12  Remainder:  0

Trying to factor by splitting the middle term

2.5     Factoring  x2+8x+12

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +12

Step-1 : Multiply the coefficient of the first term by the constant   1 • 12 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   8 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7

     -3    +    -4    =    -7

     -2    +    -6    =    -8

     -1    +    -12    =    -13

     1    +    12    =    13

     2    +    6    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  6

                    x2 + 2x + 6x + 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x+2)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x+2)

            Which is the desired factorization

Final result :

 (x + 6) • (x + 2) • (x - 1)

Circle A is missing, so i have attached it.

Answer:

∠XYZ = 35°

Step-by-step explanation:

We want to find the angle ∠XYZ in the image attached.

To solve that, we will use the formula in the theorem for angle formed by secants or tangents. Thus;

∠XYZ = ½(arc WZ - arc XZ)

From the image, arc WZ = 175° and arc XZ = 105°

Thus;

∠XYZ = ½(175 - 105)

∠XYZ = ½(70)

∠XYZ = 35°

Answer:

Its A if you don't wanna read

Step-by-step explanation:

Edge

The quotient of  10⁻⁴/10² is 10⁻⁶

Quotient is the result obtained by dividing one quantity by another. It represents the value that is obtained after division.

For example, if you divide 20 by 2, the quotient is 10 because 20 divided by 2 equals 10.

Division law states that:

10ᵃ / 10ᵇ = 10ᵃ⁻ᵇ

In this case have:

10⁻⁴/10² = 10⁻⁴⁻²   (Division law)

10⁻⁴/10² = 10⁻⁶

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Answer:

90% will be anti frozen

Step-by-step explanation:

Answer:

If they can be the same fraction, like 2/3 + 2/3, then yes. If they can have different denominators, like 4/5 + 1/2, then yes. Any other way is no.

Step-by-step explanation:

The same fraction (2/3 + 2/3) will equal 4/3, which is more than 1.

Different denominators (4/5 + 1/2) will equal 13/10, which is more than 1.

Nd if I'm wrong, my bad. I really tried.

Answer:

4x^2 + 156x - 1512 = 0

Step-by-step explanation:

To determine the thickness of the border, we need to find the quadratic equation that represents the problem. The area of the table and border is the product of the width and length:

Area = (42 + 2x)(36 + 2x)

Expanding the expression, we get:

Area = 4236 + 2x36 + 2x42 + 2x2x

Simplifying further:

Area = 1512 + 72x + 84x + 4x^2

Area = 4x^2 + 156x + 1512

Comparing this equation to the given options, we see that:

4x^2 + 156x - 1512 = 0

a) The angle swept out  since kelsey started skiing: 1.1498 radians

b) The distance Kelsey skied:  3.334 km

In this question, we have been given Kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail.

Consider the following figure for reference.

We need to find the angle θ and the distance kelsey skied (i.e., the arc length)

Here, the horizontal distance x = 1.185 km and the vertical distance y = 2.647 km

a. the tangent of angle θ would be,

tan(θ) = y/x

tan(θ) = 2.647/1.185

tan(θ) = 2.2337

θ = arctan(2.2337)

θ = 65.88°

θ = 1.1498 radians

b. The length of the arc is:

s = rθ

s = 2.9 * 1.1498

s = 3.334 km

Therefore, a) the angle swept out : 1.1498 radians

b) the distance Kelsey skied:  3.334 km

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Answer:

\(a = \frac{2 - b}{5(3 - b)} \: \: b = \frac{15a - 2}{5a - 1} \)

Step-by-step explanation:

There's two options check your question and answer

\(1. \: \frac{ \frac{2 - b}{3 - b} }{5} = a \\ 2. \frac{2 - b}{5(3 - b)} = a \\ 3. \: a = \frac{2 - b}{5(3 - b)} \\ \\ \\ 1. \: 2 - b = 5a(3 - b) \\ 2. \: 2 - b = 15a - 5ab \\ 3. \: - b = 15a - 5ab - 2 \\ 4. \: - b + 5ab = 15a - 2 \\ 5. \: 5ab - b = 15a - 2 \\ 6. \: b(5a - 1) = 15a - 2 \\ 7. \: b = \frac{15a - 2}{5a - 1} \)

The factory must produce 6,400 parts  so that there is 1 ton of scrap aluminum for recycling.

It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling

What is a Ratio?

A quantitative relation between two amounts showing the number of times one value contains in another

1 part produced  ⇒ 5 ounces scrap aluminium recycled.

So, the ratio of parts produced : Scrap of aluminium = 1   : 5  .... (a)

Let us assume for m parts produced ,  1 ton of scrap is recycled.

Also, 1 ton = 2, 000 pounds

and 1 pound = 16 ounces

⇒ 1 ton = 2000 x (16 ounces)  = 32,000 ounces

So, for m parts made in the  factory, 32,000 ounces scrap is recycled.

So, the ratio of parts produced : Scrap of aluminium =  m   : 32,000  .... (b)

From both the given ratio, we get

1   : 5  = m   : 32,000

m=32000/5

m=6400

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Answer:

because you have to distrubute the 2 to the letters inside the () or else youll get a diff answer thats wrong

Step-by-step explanation:

Summary of even and odd functions

A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f.

A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f.

From the definition itself, we see how can we test if the functions are even or odd.

- First graph (to the left)

From the graph, we see that the function is symmetric with respect to the y-axis because the left side (x<0) is a reflection (along the y-axis) of the right side (x>0), so it is an even function.

- Second graph (to the right)

From the graph, we see that the function is symmetric with respect to the origin, the left side (x<0) is a reflection (along with the origin) of the side to the right (x>0), so it is an odd function.

- First function (to the left)

The function:

is an even function because we see that:

- Second function (to the right)

The function:

is an odd function because we see that:

Summary

We have the following results:

- First function (to the left): even

- Second graph (to the right): odd

- First function (to the left): even

- Second function (to the right): odd

Answer:

1 1/2 x 3 1/4

make them improper fractions

3/2 x 13/4 = 4 7/8