The line across which a figure is flipped is called the line of transformation.
True
False

Hello,

\(f(x)=x^3-4x^2-11x+30 \\\\f(0)=30\)

so y-intercept is (0,30)

The product of the roots are -30 = 2 * 5 * -3, and the sum is 4 = 2 + 5 - 3 , so we can factorise

\(f(x)=x^3-4x^2-11x+30 \\\\f(x)=0 \\\\<=> x^3-4x^2-11x+30=(x+3)(x-2)(x-5)=0\\\\<=> x=-3 \ or \ x=2 \ or \ x=5\)

x-intercepts are (-3,0) (2,0) and (5,0)

thanks

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

Answer:

Option D

Step-by-step explanation:

Because, there is equals symbol in the equation.

Answer:

if this is a true or false question the answer would be true

\(x = y - 14\)

\(x = - \frac{y}{12} - \frac{7}{12} \)

\(x = - 2y - 14\)

Answer:

Go on brainly,cymath,calculator soup to find the answer

Step-by-step explanation:

The probability of the event for the given odds in favor (4 to 7) is found as 4/11.

To continue solving, we must represent the ratio as a fraction.

Thus, we have the depiction shown below.

Odds ratio equals 4/7

We use the following equation to translate the aforementioned odd's expression into a probability expression.

This is displayed as

P = (Odds + 1)/(Odds).

Replace the unknown values in the equation above.

The following equation is what we have.

P = (4/7)/(4/7 + 1)

Analyze the amount

This results

P = (4/7)/(11/7)

Put the quotient in product form.

P = (4/7) * (7/11)

Evaluate

P = 4/11

Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.

To know more about the probability, here

https://brainly.com/question/13604758

#SPJ1

Answer:

9,420 colors making exactly 1 car of each color exist

Step-by-step explanation:

Since there is no additional information, such as the number of colors we have to assume the maximum. Since there are over 10 million colors that exist and there is at least one car of each color, then there would be a maximum of 9,420 colors making exactly 1 car of each color exist. On the other end of the spectrum would be 2 colors making 4,710 cars of each color.

The number of different possible colors of vehicle can be found using the relation

\( \frac{9240}{c} \)

The number of different colors possible :

The number of different possible colors can be obtained using the expression :

\( \frac{9240}{c} \)

Learn more :https://brainly.com/question/18109354

Step-by-step explanation:

Yhe y-axis intercept occurs when x = 0

  so put '0' in where you see 'x' and calculate:

(0-5)(0+2)   =    -10 <==== y axis intercept

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

To learn more about constant of proportionality from the given link

https://brainly.com/question/27598477

#SPJ1

Answer:

True

Step-by-step explanation:

The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.

Hello!

We have all angles of the triangle:

We will use the law of cosines. This relation is valid for all sides of any t

We have:

angle A = 12°

côté a = 10

angle B = 150°

This is therefore the first case of application of the sine law.

So:

\(\sf \dfrac{b}{sin~B} = \dfrac{a}{sin~A}\)

\(\sf b =\dfrac{sin~B~*~a}{sin~A} = \dfrac{sin~150~*~10cm}{sin~12} = \dfrac{arcsin~0.5~*~10cm}{arcsin~0.2079116908} = \dfrac{30~*~10cm}{12} = \dfrac{300cm}{12} = \boxed{\sf25cm}\)

The model lies between 0 and 1 on the number line.We can find by dividing number and then add both of number.

The real number line is a horizontal line with arrows on both sides. It consists of the origin “0”. All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.

A number line model is a representation of numbers plotted on an infinite line that extends at both ends.It is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.

Now we find

-2/4 =-0.5

3/4= 0.75

0.75- 0.5=0.25

which is lies between 0 and 1 on the number line.

To learn more about number line visit;

https://brainly.com/question/13425491

#SPJ1

Answer:

No solution

Step-by-step explanation:

2y - 3 - 2y = -6

2y - 2y - 3 = -6

-3 = -6

No solution

The formula for z is given as;

Answe YEAH BOIIIIII!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

The attached graph represents the graph of the parallel lines

The equation of the lines are linear equation

A linear equation is represented as:

y = mx + b

Where b represents the y-intercept.

Using the above form of linear equation as a guide, the equations of the lines are

y = -x + 5

y = -x + 2

y = -x - 3

y = -x - 2

Where -5, 2, -3 and -2 are the given y-intercepts and y = -x is the base equation.

Next, we plot the equations on a coordinate grid

See attachment

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ1

Answer:

60°

Step-by-step explanation:

In similar triangles, the corresponding angles are congruent.

          ∠O = R

          O = 70°

In ΔOMN,

      ∠O + ∠M + ∠N = 180     {Angle sum property of triangle}

       70 + 50 + Ф    = 180

               120 + Ф  = 180

Subtract 120 from both sides,

                        Ф  = 180 - 120

                         Ф = 60°  

Step-by-step explanation:

we need the greatest or largest common factor (LCF) to find how many bags.

method prime factorization :

beginning with 2 we divide the number as often as possible by the current prime number until there is a remainder. then we use the next higher prime number and do the same.

when we reach 1 as final result, the process ends.

135 ÷ 2 not possible, going to 3

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 3 not possible, going to 5

5 ÷ 5 = 1 end

135 = 3×3×3×5

495 ÷ 2 not possible, going to 3

495 ÷ 3 = 165

165 ÷ 3 = 55

55 ÷ 3 not possible, going to 5

55 ÷ 5 = 11

11 ÷ 5 not possible, going to 7

11 ÷ 7 not possible, going to 11

11 ÷ 11 = 1 end

495 = 3×3×5×11

315 ÷ 2 not possible, going to 3

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 3 = not possible, going to 5

35 ÷ 5 = 7

7 ÷ 5 not possible, going to 7

7 ÷ 7 = 1 end

315 = 3×3×5×7

the LCF is the longest sequence of prime factors the numbers have in common.

so, again, the numbers as prime factors in comparison :

135 = 3×3×3×5

495 = 3×3×5×11

315 = 3×3×5×7

they have in common

3×3 and 5

the LCF = 3×3×5 = 45

so, she can make max. 45 treat bags.

each bag will contain

135/45 = 3 pieces of candy A

495/45 = 11 pieces of candy B

315/45 = 7 pieces of candy C

you notice, how these numbers are exactly the remaining factors of the prime factoring ? it is not a coincidence ...

notice that 45 is the maximum number of treat bags.

following the prime factor combinations she could also create fewer treat bags (but with correspondingly more content).

she could create also

1 or

3 or

5 or

9 or

15

treat bags.

Answer:

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Step-by-step explanation:

We can use the trigonometric identity:

cos 2a = 1 - 2 sin^2 a

to rewrite 1 + 2cos a as:

1 + 2cos a = 1 + 2(1 - sin^2 a/2)

= 1 + 2 - 2(sin^2 a/2)

= 3 - 2(sin^2 a/2)

Now, using another trigonometric identity:

sin a = 2 sin(a/2) cos(a/2)

we can rewrite sin^2 a/2 as:

sin^2 a/2 = (1 - cos a)/2

Substituting this into the expression for 1 + 2cos a, we get:

1 + 2cos a = 3 - 2((1 - cos a)/2)

= 3 - (1 - cos a)

= 2 + cos a

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Answer:

He is incorrect

Step-by-step explanation:

The coins would fall out.

Answer:

No, the coin dealer is not correct. The paper would need to be at least 3.14 times the diameter to go around the coin. The circumference of the coin will be diameter times pi, so 12(3.14).

Answer:

1.8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

2.8 - 4 ÷ 4

Step 2: Evaluate

The probability that both the father and mother are current smokers is 0.2 or 20%.

To find the probability that both the father and mother are current smokers, we need to find the joint probability. The joint probability is the probability of both events happening at the same time. In this case, the events are the father being a current smoker and the mother being a current smoker.

The probability that both the father and mother are current smokers can be found by multiplying the probabilities of each event.

P(father is a smoker) = 0.4

P(mother is a smoker) = 0.5

Therefore,

P(both father and mother are smokers) = P(father is a smoker) × P(mother is a smoker) = 0.4 × 0.5 = 0.2

So, the probability that both the father and mother are current smokers is 0.2 or 20%.

To know more about probability, here

https://brainly.com/question/30034780

#SPJ4

The inclination of the line represented by the equation y = x + 3 is 1, and the inclination of the line represented by the equation 3x - 2y = 6 is 3/2.

To determine the inclination (or slope) of a straight line, we can examine the coefficients of the variables x and y in the equation of the line.

The inclination represents the ratio of how much y changes with respect to x.

Equation: y = x + 3

In this equation, the coefficient of x is 1, which means that for every increase of 1 in x, y also increases by 1.

This indicates that the inclination of the line is positive, meaning it slopes upwards as x increases.

Since the coefficient of x is 1, the inclination can be expressed as 1/1 or simply 1.

Equation: 3x - 2y = 6

To determine the inclination, we need to rearrange the equation in slope-intercept form (y = mx + b), where m represents the slope.

First, isolate y:

-2y = -3x + 6

Divide the entire equation by -2 to solve for y:

y = (3/2)x - 3

Now we can observe that the coefficient of x is 3/2.

This indicates that for every increase of 1 in x, y increases by 3/2. Therefore, the inclination of this line is positive, indicating an upward slope.

The inclination can be expressed as 3/2.

For similar question on inclination.

https://brainly.com/question/29723347

#SPJ11

Answer:

$24

Step-by-step explanation:

(1+5) x 4 = 24 dollars

The mid segment would be 1/2 the length of the longest side which is YZ

YZ = 2 x VX

U + 9 = 2u

Subtract 1u from both sides:

U = 9

now you have the value for u, replace in the equation for YZ and solve.

YZ = 9 + 9 = 18

answer: 18

Answer:

x / 24

x - numerator

24 - denominator

12 / 48 simplified gives 6 / 24 just in case.

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

Answer:

Restaurant A and C: 23 grams of fat

Restaurant B: 31 grams of fat

Answer:

Restaurant A's chicken salad has  7.7 grams of fat.

Restaurant​ B's chicken salad has  61.6 grams of fat.

Restaurant​ C's chicken salad has  7.7 grams of fat.

Step-by-step explanation:

Restaurant A = C

Restaurant B = 8 × Restaurant A

Total Grams of Salad = 77

Let Reataurat A and C be x

and Reataurant B be 8x

so

A + B + C = 77

x + 8x + x = 77

2x + 8x = 77

10x = 77

x = 77 ÷ 10

x = 7.7

Restaurant A's chicken salad has  7.7 grams of fat.

Restaurant​ B's chicken salad has  61.6 grams of fat.

Restaurant​ C's chicken salad has  7.7 grams of fat.

If u want to crass check so

7.7 + 61.6 + 7.7 =

69.3 + 7.7 =

= 77