Use graphs and tables to find the limit and identify any vertical asymptotes of limit of 1 divided by the quantity x minus 4 as x approaches 4 from the left . (2 points)
∞ ; x = -4
-∞ ; x = -4
-∞ ; x = 4
1 ; no vertical asymptotes

Answer:

16.32495 degrees

Step-by-step explanation:

1- sqrt/2 = (2-sqrt2)/2

x = arctan((2-sqrt2)/2) = 16.32495 degrees

If  If Mike has $6.00 in quarters and nickels, then the number of nickels Make have are 60.

Let's assume that the number of nickels in Mike's cup is "N." Since Mike has 20% as many quarters as nickels, the number of quarters can be expressed as 0.20N.

Now, we know that the total value of the quarters and nickels is $6.00. The value of each nickel is $0.05, and the value of each quarter is $0.25.

So, we can set up the equation:

0.05N + 0.25(0.20N) = 6.00

Now, let's solve for N:

0.05N + 0.05N = 6.00

0.10N = 6.00

N = 6.00 / 0.10

N = 60

So, Mike has 60 nickels in his cup.

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Answer:

5x-10=60 being vertically plopposite angle .

Answer:

14; vertical

Step-by-step explanation:

since these are vertical angles, they will equal the same;

5x - 10 = 60

add 10

5x = 70

divide by 5

x = 14

Answer:

The slope is 5

Step-by-step explanation:

Answer:

the slope of y= 5x-1 is m=5.

The first triangle is similar with given triangle.

Two triangles are said to be similar, when corresponding sides of both triangles are in equal proportion and corresponding angles are equal.

From first option, It is observed  all the sides of triangle are in the proportion with given triangle dimensions.

Given triangles dimensions are [tex]3,4[/tex] and [tex]5.[/tex]

First option triangles has dimensions [tex]6,8[/tex]  and [tex]10[/tex].

Since,   [tex]\frac{3}{6} =\frac{4}{8} =\frac{5}{10}=\frac{1}{2}[/tex]

Therefore, first triangle is similar with given triangle.

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9514 1404 393

Answer:

  D.  3x +y = 23​

Step-by-step explanation:

If you know what "standard form" is, then you recognize that only one offered answer choice is actually in standard form. That is the correct choice.

  3x + y = 23​

_____

Standard form for a linear equation is ...

  ax +by = c

where a, b, c are mutually prime integers and a ≥ 0. If a = 0, then b > 0. (The leading coefficient is positive.)

Answer:

2x+3y+5=0

a = 2  b = 3  c=5

Step-by-step explanation:

We are asked to express 2x+3y=-5 in the form ax+by+c=0

Add 5 to both sides

2x+3y+5=0

We can now find the values of a, b and c now that the equation is in standard form.

Answer:

The answer will br 24.7

Step-by-step explanation:

Plus the breadth the height and the 7cm

Step-by-step explanation:

a = 7 cm

b = 10.4 cm

h = 6.7 cm

Area of trapezium = ?

we have the formula

Area of trapezium

= 1/2 * h ( a + b)

= 1 / 2 * 6.7 ( 7 + 10.4)

= 1/2 * 6.7 * 17.4

= 1/2 * 116.58

= 58.29 cm²

Hope it will help :)

Step-by-step explanation:

7. x/4=-2.5

x = -2.5/4= 5/8

8. -22=n/2

n = -22×2 =-44

9. 1/3z = -5

z = -5×3 =-15

10. -1/4x=5/2

-2=5×4x

-2=20x

x=-20x/2=-10

Answer:

number is 1

Step-by-step explanation:

let the number be n , then 2 times the number is 2n and 3 more than this is

2n + 3 , so

2n + 3 = n + 4 ( subtract n from both sides )

n + 3 = 4 ( subtract 3 from both sides )

n = 1

That is the number is 1

The required number is 1 which represents "3 more than 2 times a number is equal to that number plus 4"

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

Let the required number would be x.

According to the given question, translate the phrase into an algebraic equation:

3 + 2x = x + 4

Subtracting x from both sides gives:

3 + 2x - x = x + 4 - x

Simplifying the left side gives:

3 + x = 4

Subtracting 3 from both sides gives:

3 + x - 3 = 4 - 3

Simplifying the left side gives:

x = 1

Therefore, the required number would be 1.

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Answer:

92/69 cannot be simplified

Step-by-step explanation:

1, 3, 5

The reasonable domain has a minimum value.

The reasonable range has a minimum value of 30,000.

The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

1. Years cannot be anything below 0.

2. The domain includes 0 because the answer can be the initial value.

3. 30,000 is the initial value and is the minimum solution.

4. The range has a minimal of 30,000.

5. Logically, we know city populations cant be numbers like a billion but we prove that mathematically.

Answer:

1. The reasonable domain has a minimum value.

3.The reasonable range has a minimum value of 30,000.

5.The reasonable range has an implied, but unknown, maximum value.

Step-by-step explanation:

Joan has 32$. And makes 4$ every hour of mowing lawns.

60-32=28.

So what we will do to solve this problem is multiply 7 by 4.

7x4= 28.

32+28=60.

This means that Joan needs to work 7 hours in total to earn $28.

254356547654566556688754678

Answer:

She needs 6 ounces of peanut butter chips.

hope this helped :-)

Step-by-step explanation:

10:5=2

1/5 = 2

1/5+1/5+1/5=

2+2+2=

2*3=6

Answer:

Step-by-step explanation:

first do (x + 6)(x+6)

= (x^2 + 6x + 6x + 36)

multiply all by 2

2x^2 + 12x + 12x + 72

simplify and subtract 50

2x^2 + 24x + 72 - 50

2x^2 + 24x + 22

hope this helps <3

Answer:

the answer is.....wait for it.....

16

Step-by-step explanation:

Answer:

(-1,-1)

Step-by-step explanation:

Plug in to the equation.

y=2x+1

-1=2(-1)+1

-1=-2+1

-1=-1 :)

Answer:

Step-by-step explanation:

Given:

There are two ways of finding if the points belong to the graph:

1. Graph the line and plot the points and confirm visually.

2. Plug in the values into equation and confirm.

Answer: 12.12 m

Step-by-step explanation:

Given

length of ladder L=14 m

the ladder makes an angle of [tex]\theta=30^{\circ}[/tex] with the building

With the help of a diagram, we can write

[tex]\cos \theta=\frac{\text{h}}{\text{L}}[/tex]

[tex]\cos 30^{\circ}=\frac{h}{14}[/tex]

[tex]h=14\cos 30^{\circ}[/tex]

[tex]h=12.12\ m[/tex]

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

Answer:

(- 3, 0 ), (4, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0

[tex]\frac{x^2-x-12}{5x^2+ 4x}[/tex] = 0

The denominator cannot equal zero as this would make f(x) undefined.

Equate the numerator to zero and solve for x

x² - x - 12 = 0 ← in standard form

(x - 4)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

x- intercepts are (- 3, 0 ) and (4, 0 )

Step-by-step explanation:

It is a cyclic quadrilateral.

The sum of interior angles of this polygon is equal to 180 degrees.

ATQ,

2x+26y=180

x+13y=90 ....(1)

3x+21y=180

x+7y=60 ....(2)

Subtract equation (1) from (2).

x+7y-(x+13y) = 60-90

x+7y-x-13y=-30

-6y=-30

y = 5

Put the value of y in equation (1

x+13(5) = 90

x+65=90

x = 90-65

x = 25

So,

∠DAB = 26y = 26(5) = 130°

∠ABC = 3x = 3(25) = 75°

∠BCD = 2x = 2(25) = 50°

∠ADC = 21y = 21(5) = 105°

    x = 25, y = 5

    m∠DAB = 26(y) = 180°

    m∠ABC = 3x = 75°

    m∠BCD = 2x = 50°

    m∠ADC = 21y = 105°

From the picture attached,

By using the property of cyclic quadrilateral,

m∠A + m∠C = 180°

26y + 2x = 180

13y + x = 90 --------(1)

m∠B + m∠D = 180°

3x + 21y = 180

x + 7y = 60 --------(2)

Subtract equation (2) from (1),

(13y + x) - (x + 7y) = 90 - 60

6y = 30

y = 5

Substitute y = 5 in equation (1),

13(5) + x = 90

x = 90 - 65

x = 25

Substitute the values of 'x' and 'y' to get the measures of the angles,

m∠DAB = 26(y) = 180°

m∠ABC = 3x = 75°

m∠BCD = 2x = 50°

m∠ADC = 21y = 105°

         Therefore, values of the variables will be,

                            x = 25, y = 5

                            m∠DAB = 26(y) = 180°

                            m∠ABC = 3x = 75°

                            m∠BCD = 2x = 50°

                            m∠ADC = 21y = 105°

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Answer:

See below.

Step-by-step explanation:

The 3 marked angles add up to 360 degrees.

5x + 12 + 10x - 37 + 9x + 1 = 360

24x - 24 = 360

24x = 384

x = 384/24 =  16

The large angle at C = 10(16) - 37

= 160 - 37 = 123 degrees.

So m <BCA = 180 - 123

=  57  degrees    (adjacent angles add up to 180).

Answer:

21

Step-by-step explanation:

Well you basically divide 3 and 1/2 by 1/6 which you would you have to simplify the 3 and 1/2 which is 7/2 and switch the denominator and numerator of the 1/6 which would be 6/1 and after you multiply(7/2 x 6/1=42/2) it would be 42/2 which you would have to simplify by dividing 42 and 2 which is 21. There you go I hope this helps.

Answer:

21.

Step-by-step explanation:

That would be  3 1/2 divided by 1/6.

= 7/2 / 1/6

= 7/2 * 6

= 42/2

= 21 glasses.

Answer:

9 weeks

Step-by-step explanation:

Knowing that the "q" is the total number of quizzes, you can set the equation equal to 12, and solve for w.

12 = w + 3     Subtract 3 both sides

9 = w