You can factor a quadratic function using the completing the square method for any coefficient of the a term. True or false

Answer:

$2.69

Step-by-step explanation:

We can divide the cost in dollars to the gallons of gasoline to find the rate of change.

16.14 / 6 = $2.69

21.52 / 8 = $2.69

24.21 / 9 = $2.69

32.28 / 12 = $2.69

53.80 / 20 = $2.69

This means that each gallon costs $2.69, in other words this is the rate o change.

Best of Luck!

Answer:

6.569

Step-by-step explanation:

get a calculator but hears the answer

Answer:

a. 112

b. 68

c. 90.

d. 90

e. 22

f. 158.

Answer:

Step-by-step explanation:

1. Use of lubricants

Lubricants like oil and grease helps to decrease friction by forming a thin film in between different parts of the machine. This film covers up the scratches and bumps on the surfaces of different parts. This reduces interlocking between the two surfaces.  Thus reducing the friction.

2. Use ball bearings

Two moving surfaces in a machine are attached by placing small steel balls or steel rollers  in between them. This way, the moving parts avoid direct contact and the force of sliding friction turns into rolling friction. Rolling friction is less than sliding friction, in doing so reducing the friction.

3. Polishing

Polishing reduces the unevenness  of a surface. This will reduce interlocking between the surfaces.  

4. Streamlining

Streamlining is the process where you make a machine in a shape that avoids air and water resistance. This reduces friction because a streamlined object cuts through the water and air molecules.

Answer:

D

Step-by-step explanation

124 times 3 is 372

Answer:

is there more to it? i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

45 / 12 = 3.75

12 inches in a foot.

The conversion of Carson's height from inches to feet is equal to 3.75 feet.

Relation between inches and feet is equal to,

1 foot is equal to 12 inches

To convert inches to feet, you need to divide the number of inches by 12, as there are 12 inches in a foot.

Carson's height in feet can be calculated as follows:

Height in feet = Height in inches / 12

Height in feet = 45 inches / 12

Height in feet = 3.75 feet

Therefore, Carson's height is 3.75 feet.

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Answer:

20%

Step-by-step explanation:

p(outcomes)=#of favourable outcomes/#of possible outcomes

=1/5

=0.2

=20%

Answer:

The probability is [tex]P(k) = \frac{4}{25}[/tex]

Step-by-step explanation:

From the question we are told that

   The number of pens from the drawer is  n =  5

   The number of pens that doesn't work is  k =  2

The probability that a does not work is

             [tex]p = \frac{k}{n}[/tex]

=>          [tex]p = \frac{2}{5}[/tex]

The probability that a pen works is

           [tex]q = 1- p[/tex]

           [tex]q = 1- \frac{2}{5}[/tex]

    =>   [tex]q = \frac{3}{5}[/tex]

Generally the probability that ending up with a pen that doesn't work is mathematically represented as  

            [tex]P(k) = p^2[/tex]

=>         [tex]P(k) = [\frac{2}{5} ]^2[/tex]

=>        [tex]P(k) = \frac{4}{25}[/tex]

The probability that you randomly grab two pens from the drawer and don’t end up with a pen that works is [tex]\dfrac{4}{25}[/tex].

Given information:

The number of pens in the drawer is [tex]n=5[/tex].

The number of pens that doesn't work is [tex]a=2[/tex].

So, the number of pens which works will be, [tex]b=5-2=3[/tex].

The probability of grabbing a pen that doesn't work will be,

[tex]P_a=\dfrac{2}{5}[/tex]

Now, two pens are grabbed randomly from the drawer. So, the probability that you randomly grab two pens from the drawer and don’t end up with a pen that works will be calculated as,

[tex]P=(P_a)^2\\P=\dfrac{2}{5}\times \dfrac{2}{5}\\P=\dfrac{4}{5}[/tex]

Therefore, the value of the required probability will be [tex]\dfrac{4}{5}[/tex].

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Answer: 2 has the same absolute value as -2 .

Answer:

2

Step-by-step explanation:

The absolute value of any negative number  will always be positive

Answer:

I believe x is greater than or equal to 1

The point represent is F.

A number line 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. As we move towards the right side of a horizontal number line, the numbers increase; as we move towards the left, the numbers decrease.

Given:

point on the number line represents 7 less than 4

=4-7

=-3

So, the point that represent -3 is F

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Step-by-step explanation:

HJ+5=20

HJ=20-5

HJ=15

Answer:

35,694

35,981

35,102

Step-by-step explanation:

If you're using the hundreds place for comparison, it means the digits in higher places are the same, and that digits in the hundreds place are different.

This will be true for any 5-digit number of the form ...

 (3)(5)(not 7)(something)(something).

The numbers might have digits to the right of the decimal point, but those are irrelevant, as are the digits in the 10s and 1s places.

Answer:

15.5

Step-by-step explanation:

Original Equation:

14 ÷ 2 + 3(4) - (6.5 - 3)

Do the Parentheses first.

6.5 - 3 = 3.5

Equation:

14 ÷ 2 + 3(4) - 3.5

More Parentheses.

3(4) = 3 ⋅ 4 = 12

Equation:

14 ÷ 2 + 12 - 3.5

Divide.

14 ÷ 2 = 7

Equation:

7 + 12 - 3.5

Add.

7 + 12 = 19

Subtract:

19 - 3.5 = 15.5

Hope I helped :)

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Answer:

The Bill of Rights was added to the Constitution in the form of amendments. The chief purpose of the amendments was to protect the rights of individuals from the government's interference. They guarantee rights such as religious freedom, freedom of the press, and trial by jury to all American citizens.

Step-by-step explanation:

Answer:

A rocket ship is travelling at an average speed of 1.75 × 104 miles per hour. How many miles will the rocket ship travel in 1.2 × 102 hours?

1. Write the expression:       (1.75 × 104)(1.2 × 102)

2. Rearrange the expression:     (1.75 × 1.2)(104 × 102)

3. Multiply the coefficients:      (2.1)(104 × 102)

4. Apply the product of powers:    2.1 × 10y

The rocket ship will travel 2.1 × 10y miles. What is the value of y in the solution?

y =  

Step-by-step explanation:

6

the acceleration of the car is 25.00 m/s

Answer:

3 (4 r + 5)

Step-by-step explanation:

Factor the following:

12 r + 15

Hint: | Factor out the greatest common divisor of the coefficients of 12 r + 15.

Factor 3 out of 12 r + 15:

Answer: 3 (4 r + 5)

Answer:

r=5

Step-by-step explanation:

Answer:

18684 I believe

Step-by-step explanation:

Answer:

It would be 3.8

Step-by-step explanation:

.38*10=3.8

Answer:

x = 55°

Step-by-step explanation:

I hope this helps!

Answer:

235

Step-by-step explanation:

11.75 x 20 = 235

Answer:

x= 17/8

Step-by-step explanation:

6x− 5/2=2x+6

Step 1: Simplify both sides of the equation.

6x+−5/2=2x+6

Step 2: Subtract 2x from both sides.

6x+−5/2−2x=2x+6−2x

4x+−5/2=6

Step 3: Add 5/2 to both sides.

4x+−5/2+5/2=6+5/2

4x=17/2

Step 4: Divide both sides by 4.

4x/4=17/2/4

x=17/8

Answer:

x > 10

Step-by-step explanation:

x-3 > 7

Add 3 to each side

x-3+3 > 7+3

x > 10

Answer: x<4

Step-by-step explanation:

x< 4 is anything less than 4, in order to make the equation true, you need something less than 4