Choose the correct description of the graph of the compound inequality x - 3 less than or equal to 5

A- open circle on 8, shading to left
B- closed circle on 8, shading to left
C- open circle on 8, shading to right
D- closer circle on 8, shading to right

Answer: 6 cm

Step-by-step explanation: 4.5 cm is 75/100

75/100=4.5/x

100*4.5=75*x

450=75x

divide both sides by 75

6=x

The number 4.5 is 75 percent of the number 6.

The given number is 4.5 cm.

Let 75% of x is 4.5 cm.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 75% of x=4.5

[tex]\frac{75}{100} \times x=4.5[/tex]

[tex]\frac{75x}{100}=4.5[/tex]

[tex]75x=4.5\times100[/tex]

[tex]75x=450[/tex]

[tex]x=\frac{450}{75}[/tex]

[tex]x=6[/tex]

Therefore, the number 4.5 is 75 percent of the number 6.

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"Your question is incomplete, probably the complete question/missing part is:"

75% of what number is 4.5 cm.

The value of the rational expression of equation is A = -1/5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = ( 2x - 1 ) / ( x + 5 )

when x = 0

Substituting the values in the equation , we get

A = ( 2 ( 0 ) -1 ) / ( 0 + 5 )

On simplifying , we get

A = -1/5

Hence , the equation is solved and A = -1/5 when x = 0

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The probability that a 4 is drawn from A followed by a 2 from B is 1/24

The probability of an event is defined as the possibility of an event occurring against sample space.

[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]

Permutation is the number of ways to arrange objects.

[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]

Combination is the number of ways to select objects.

[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]

Let us tackle the problem.

The probability of choosing a 4 ( 1 ball ) from Urn A is:

[tex]P(A) = \boxed{\frac{1}{6}}[/tex]

The probability of choosing a 2 ( 1 ball ) from Urn B is:

[tex]P(B) = \boxed {\frac{1}{4}}[/tex]

The probability that a 4 is drawn from A followed by a 2 from B is

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

[tex]P(A \cap B) = \frac{1}{6} \times \frac{1}{4}[/tex]

[tex]P(A \cap B) = \boxed {\frac{1}{24}}[/tex]

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

they would be similar since they have the same angles, but different length sides

they are different sizes

 the sides are different lengths

 congruent, means same size and shape

 the only answer that applies is A

We are given the functions:

P (x) = 0.9 x

C (x) = x – 150

We can generate two composition functions from the given two functions in the form of:

P [C (x)]                and C [P (x)]

Since the problem states that we are to find for the final price after a 10% discount is followed by a $150 coupon then we should find for:

C [P (x)]

The value of C [P (x)] can obtained by plugging in the value of P (x) into x in the equation of C (x), therefore:

C [P (x)] = [0.9 x] – 150

C [P (x)] = 0.9 x – 150                      (ANSWER)

Answer:

A On edge 2020!

Step-by-step explanation:

Have an amazing day :3

Answer:

The Function __1__ has the larger maximum.

Step-by-step explanation:

The given functions are

Function 1:

[tex]f(x)=-x^2+8x-15[/tex]

Function 2:

[tex]f(x)=-x^2+2x-15[/tex]

Both functions are downward parabola because the leading coefficient is negative. So, the vertex is the point of maxima.

If a function is [tex]f(x)=ax^2+bx+c[/tex], then its vertex is

[tex]Vertex=(\frac{-b}{2a}, f(\frac{-b}{2a}))[/tex]

The vertex of Function 1 is

[tex]Vertex=(\frac{-8}{2(-1)}, f(\frac{-8}{2(-1)}))[/tex]

[tex]Vertex=(4, f(4))[/tex]

The value of f(4) is

[tex]f(4)=-(4)^2+8(4)-15=1[/tex]

The vertex of Function 1 is (4,1). Therefore the maximum value of Function 1 is 1.

The vertex of Function 2 is

[tex]Vertex=(\frac{-2}{2(-1)}, f(\frac{-2}{2(-1)}))[/tex]

[tex]Vertex=(1, f(1))[/tex]

The value of f(1)is

[tex]f(1)=-(1)^2+2(1)-15=-14[/tex]

The vertex of Function 2 is (1,-14). Therefore the maximum value of Function 2 is -14.

Since 1>-14, therefore Function __1__ has the larger maximum.

4y-y +11 = 38

4y -y = 3y

3y + 11 = 38

3y = 27

y = 27/3 =9

y = 9

answer is 9

81 x 31 = 2 511 (area of a brick)

2511 x 400 = 1 004 400 (area of the wall)

Convert 1 004 400" to ft. [1ft. = 12"]

1 004 400 / 12 = 83 700 ft.

Now this is what we have.

-Hight 42 ft.

-Length X ft.

-Area 83 700ft.

Algebra time.

42 x X = 83 700 (to get X you would devide 83 700 by 42)

83 700 / 42 = 1 992.85ft. (X = 1 992.85ft.)

So the length of the wall would be 1992.85ft.

The height of the wall is 166.07 ft.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 400 bricks, each measuring 81" by 31", are required to build a wall 42 feet high.

Here, Area of a one brick 81"×31"

6.75×2.58=17.44 ft²

Total area of 400 bricks = 400×17.44=6975 ft²

Total brick area divided by 42' height of wall

=6975÷42=166.07 ft

Therefore, the height of the wall is 166.07 ft.

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Answer:

The required probability is 5/18.

Step-by-step explanation:

Total number of total students = 10

Number of girls = 5

Number of boys = 5

Formula for probability:

[tex]Probability=\frac{\text{Favorable outcome}}{\text{Total outcome}}[/tex]

The probability that the first student chosen will be a girl = [tex]\frac{5}{10}=\frac{1}{2}[/tex]

After selecting 1 student, the total number of student is

[tex]10-1=9[/tex]

The probability that the second student chosen will be a boy = [tex]\frac{5}{9}[/tex]

The probability that the first student chosen will be a girl and the second will be a boy is

[tex]P=\frac{1}{2}\times \frac{5}{9}[/tex]

[tex]P=\frac{5}{18}[/tex]

Therefore the required probability is 5/18.

they are saying x = 3 so you would use the middle equation

so -4x becomes -4(3)

-4 * 3 =-12

Answer: y= 630 is the horizontal asymptote for the given function.

Step-by-step explanation:

Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to [tex]+\infty[/tex] or [tex]-\infty[/tex].

Thus, If there is a function f(x),

Then Its horizontal asymptote,  y = [tex]\lim_{x\rightarrow \infty} f(x)[/tex]

Here the given function is, [tex]f(x) = \frac{560+630x}{x}[/tex]

Thus its horizontal asysmptote is, y = [tex]\lim_{x\rightarrow \infty} \frac{560+630x}{x}[/tex]

⇒ y = [tex]\lim_{x\rightarrow \infty}560/x+630[/tex]

⇒ y = 0+ 630

⇒ y= 630 is the horizontal asymptote of the given function f(x).

The horizontal asymptote of y = (630x + 560)/x is y = 630.

A linear function is given by:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Given the total cost as y = 630x + 560.

For the function y = (630x + 560)/x, the horizontal asymptote is at:

y = 630x/ x = 630

The horizontal asymptote of y = (630x + 560)/x is y = 630.

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The answer is -11 - 6x + 2x^2 + 8x^3 <==

Answer: 1.13s;25.25ft you welcome

Step-by-step explanation:

she hikes 1/6 a day, to get 11/6 , she would have to hike 11 days

to hike 1/3 of a mile

1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2

 so she would have to hike 2 days

Answer:

11 days and 2 days

Step-by-step explanation:

Molly hikes every day = [tex]\frac{1}{6}[/tex] miles

She would take days to hike total [tex]\frac{11}{6}[/tex] miles = [tex]\frac{\frac{11}{6} }{\frac{1}{6} }[/tex]

= [tex]\frac{11}{6}[/tex] ×  [tex]\frac{6}{1}[/tex] = 11 days.

To hike a total  [tex]\frac{1}{3}[/tex] of a mile she would have to hike = [tex]\frac{\frac{1}{3} }{\frac{1}{6} }[/tex]

[tex]\frac{1}{3}[/tex] ×  [tex]\frac{6}{1}[/tex] = 2 days

To hike a total of  [tex]\frac{11}{6}[/tex], she would have to hike for 11 days. To hike a total of  [tex]\frac{1}{3}[/tex] of a mile, she would have to hike for 2 days

Answer:

the given statement is true.

Step-by-step explanation:

The given lines are

2x - 3y = 1 and 2x + 3y = 2

Write these equations in slope intercept form of a line y = mx +b

For the first equation

[tex]2x-3y=1\\\\3y=2x-1\\\\y=\frac{2}{3}x-\frac{1}{3}[/tex]

For the first equation

[tex]2x+3y=2\\\\3y=-2x+2\\\\y=-\frac{2}{3}x+\frac{2}{3}[/tex]

The slope and y-intercepts of first line are 2/3 and -1/3 respectively.

The slope and y-intercepts of second line are -2/3 and 2/3 respectively.

Since, the slopes and y-intercepts of these lines are different.

Hence, these lines are intersecting.

Therefore, the given statement is true.

Answer:

Option D, 58

Step-by-step explanation:

Line segment having end points are 19 and -39

So total length of line segments having end points of 19 and (-39) = distance from origin to one end at (19) + distance of another end from origin

  = 19 + 39

  = 58

Option D, 58 is the answer.

Part A:



The first thing of completing the square is writing the expression   as   which expands to  .

We have the first two terms exactly alike with the function we start with:  and   but we need to add/subtract from the last term, 49, to obtain 41. 

So, the second step is to subtract -8 from the expression 

The function in finalizing the square form is


Part B:

The vertex is acquired by equating the expression in the bracket from part A to zero




It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function   can either make U-shape or ∩-shape depends on the value of the constant   that goes with  . When   is (+), the curve is U-shape. When   (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will go through the vertex, hence the symmetry line is 

This function is shown in the diagram below

Answer:

Part A: The vertex form is h(x) = (x+7)^2  - 8 .

Part B: The vertex is a minimum. The vertex is (-7,-8).  

Part C: The axis of symmetry is x=-7. (axis of symmetry is the x value of the vertex)

Step-by-step explanation:

This video will help you understand how I got the function into vertex form.

Search: How do you convert from standard form to vertex form of a quadratic Brian McLogan

This will help you find the vertex

Search: Finding the vertex of a parabola in standard form khan academy