Solve the quadratic equation by completing the square.
x²+18x+79=0

The quotient of the fraction 4/12 ÷ 1/12 is 4.

So, evaluation of 4/12 ÷ 1/12:

Therefore, the quotient of the fraction 4/12 ÷ 1/12 is 4.

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Answer:

17/20 = 0.85

Step-by-step explanation:

Subtract

1 and 3 over 51

3

5

− 6 over 8

6

8

= 34 over 40

34

40

2.

Step 2 of 2: Simplify.

34 over 40

34

40

= 17 over 20

17

20

The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

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Mel should make 12 bracelets.

Here, we are given that Mel makes arm bracelets.

She is making a bracelet for each arm of her 6 friends.

We know that a humans by default have 2 arms each.

We will assume that all of her 6 friends have 2 arms each.

Thus, 6 of her friends will get 2 bracelets each, one for each arm.

This means that the total number of bracelets Mel should make will be given by-

2 + 2 + 2 + 2 + 2 + 2

or we can also write this as

2 × 6

6 times 2 is equal to 12.

Thus, Mel should make 12 bracelets.

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Answer:

x= 5

Step-by-step explanation:

2x+ 15=25

-15 -15

2x= 10

/2 /2

x=5

Answer:

x = 5

Step-by-step explanation:

2x + 15 = 25

2x + 15 - 15 = 25 - 15            (subtract 15 from both sides)

2x = 10

2x/2 = 10/2                           (divide by 2 on both sides)

x = 5

Answer:

The median is: 5

Hope this helps! <3

Answer:

Step-by-step explanation:

5

Answer:

h = 7

Step-by-step explanation:

We are given the equation A=bh , and need to work out the unknown variable .

So we substitute the values of A and b given :

70 = (10)(h)

70 = 10 × h

Divide both sides by 10 :

70 ÷ 10 = h

h = 7

Hope this helped and have a good day

Amount of shampoo in the original bottle is 15.0376 ounces.

Larger bottle of shampoo contains = 20 ounces

Let, amount of shampoo in the original bottle = x ounces

33% of amount of shampoo in the original bottle = ((33x)/100)

According to the question, amount of shampoo in the larger bottle is 33% more of amount of shampoo in the original bottle. So, mathematically we can write

20 = x + ((33x)/100)

⇒ 20 = x + 0.33x

⇒ 20 = 1.33 x

⇒ x = 20/1.33

⇒ x = 15.0376

Amount of shampoo in the original bottle is 15.0376 ounces.

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Answer: 14/15

Step-by-step explanation:

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

Divide both parts of the equation by 9:

[tex]\displaystyle\\x=\frac{10x-x}{9}\\\\x=0,9333333...\\\\Hence,\\\\x=\frac{10*0,933333...-0,9333333...}{9} \\\\x=\frac{9,333333...-0,933333...}{9} \\\\x=\frac{8,4}{9} \\\\x=\frac{8,4*10}{9*10} \\\\ x=\frac{84}{90}\\\\x=\frac{14*6}{15*6} \\\\ x=\frac{14}{15}[/tex]

So the perimeter of the polygon with vertices U (-2,4) V (3,4) and W (3,-4) is Perimeter = 22.434

Perimeter of any close shape is the total length of the boundary of any closed shape.

We have been given vertices of polygon that are U (-2,4) V (3,4) and W (3,-4)

To find the perimeter we need to find the length of all three sides, and we do that by finding the distance between the points that form the sides:

The formula for the distance between two points is:

[tex]$d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2}$[/tex]

side UV:

[tex]$U V=\sqrt{(-2-3)^2+(4-4)^2}=5$[/tex]

side VW:

[tex]$V W=\sqrt{(3-3)^2+(4-(-4))^2}=8$[/tex]

side UW:

[tex]$U W=\sqrt{(-2-3)^2+(4-(-4))^2}=9.434$[/tex]

So the perimeter is:

P=UV+VW+UW

[tex]$P=5+8+9.434=22.434$[/tex]

So the perimeter is: 22.434

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a. The conditional statement p → q is true

b. The converse q → p is False.

c. The inverse p → ~q is False

d. The contrapositive -q→ ~p is True

We are given the conditional statement;

Let p be "an animal is a puppy" and let q be "it is a dog."

a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.

b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.

c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.

d) The contrapositive statement: q → ~p which is  "If an animal is not a dog, then it is not a puppy" is true.

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Answer:

C

Step-by-step explanation:

given the zeros x = a and x = b then the corresponding factors are

(x - a) and (x - b)

then f(x) is the product of these factors

given zeros x = 6 and x = - 4 then the factors are

(x - 6) and (x - (- 4)) , that is (x - 6 and (x + 4) , then

f(x) = (x - 6)(x + 4)

Answer:

y=-x-3

Step-by-step explanation:

Write in slope-intercept form, the equation is y=mx+b .

y=−x−3

Answer: y = 8

Step-by-step explanation:

      Point-slope form is written as y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex]) where m is the slope and ([tex]x_1[/tex] , [tex]y_1[/tex]) are points on the line.

      First, we need to find the slope. This can be found with change in y over change in x:

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]\displaystyle \frac{8-8}{-4--4}=\frac{0}{-4+4}=\frac{0}{0}=[/tex] undefined

      Now, we will plug this undefined slope (0) into the equation below. Anything times 0 is 0, so no matter what (x - [tex]x_1[/tex]) is, the right side of the equation will always be 0.

y - [tex]y_1[/tex] = m(x - [tex]x_1[/tex])

y - [tex]y_1[/tex] = (0)(x - [tex]x_1[/tex]) ➜ y - [tex]y_1[/tex] = 0

      Lastly, we will take the y-value of 8 and plug it into the equation and simplify.

y - [tex]y_1[/tex] = 0 ➜ y - (8) = 0 ➜ + 8 (y - 8) = (0) + 8

      y = 8

See attached for a visual explanation.

Answer:

-20, -18

Step-by-step explanation:

let x = the smaller number

Let x + 2 = the larger number

3(x +2) -26 = 4x

3x + 6 -26 = 4x

3x -20 = 4x  Subtract 3x from both sides of the equation

-20 = x

x + 2

-20 + 2 = -18

Check:

3(-20 + 2) -26=  4(-20)

3(-18) - 26 = -80

-54 -26 = -80

-80 = -80

3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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The value of f(0) is -1

A function can be defined as an expression, law or rule that explains the relationship between two variables; a dependent and an independent variable.

Given the function;

f(x)= -x - 1

To determine f(0), we substitute the value of x as 0 in the function

So, we have;

f(0) = -(0) - 1

f(0) = -0 - 1

f(0) = -1

Thus, the value of f(0) is -1

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Answer:

64 Feet.

Step-by-step explanation:

First find the expression that describes the distance at t seconds. Which will be 16t^2

Now the distance is t=2.

So...

=16t^2

=16(2)^2

=64.

=======================================================

Explanation:

The square marker in the top left corner tells us we have a 90 degree angle. The 8x+10 must also be 90 degrees for lines u and v to be parallel. Refer to the alternate exterior angle theorem. Ignore the diagonal lines. Your teacher likely put them there as a distraction.

8x+10 = 90

8x = 90-10

8x = 80

x = 80/8

x = 10

A "meta-analysis" is a statistical procedure for combining the findings of multiple studies to reach a single conclusion.

Meta-analyses are more rigorous and quantitative than both kinds of reviews.

Some main points related to meta-analysis are-

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The quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

A linear function is modeled by the following rule:

y = mx + b

In which:

Another feature of linear functions is uniform behavior, as they are either increasing or decreasing over the entire domain, there are no changes from increasing to decreasing.

Heights increase or decrease over the domain, hence they are not linear, while the area of the square is quadratic, as A = s².

One hour has 3600 seconds, hence the number of seconds in a number of hours is modeled by the following linear function:

S(h) = 3600h.

Hence the quantity that is best modeled by a linear function is given as follows:

the number of seconds as a function of the number of hours.

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The function rule for the table is y = 25/4 x

The standard expression for a linear function is expressed as y =mx + b

where

m is the slope

b is the y-intercept

Using the coordinate points (4, 25.00) and (8, 50.0)

Determine the slope

Slope = 50-25/8-4

Slope = 25/4

Determine the y-intercept

50 = 25/4(8) + b

50 = 25(2) + b

50 = 50 + b

b = 0

Hence the function rule for the table is y = 25/4 x

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Answer:It means you would have spent $36 below zero and now you owe the bank some money

Step-by-step explanation:

The property shown in 2 + 0 = 2 is the Identify Property of Addition

The expression is given as:

2 + 0 = 0

The  Identify Property of Addition property states that

a * 0 = a

This means that the property shown is the Identify Property of Addition

Hence, the property shown in 2 + 0 = 2 is the Identify Property of Addition

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We get the values of m as 1 and n as 0.

We are given a function:

f(x) = m / (x - 1) + n

We are also given that:

f (-2) = 1 and f (4) = 3

We have to find the value of m and n.

f (-2) = m (2 - 1) + n

1 = m + n

n = 1 - m

f (4) = m / (4 - 1) + n

3 = 3 m + n

3 = 3 m + 1 - m

3 = 2 m + 1

2 m = 3 - 1

2 m = 2

m = 2 / 2

m = 1

m + n = 1

1 + n = 1

n = 0.

Therefore, we get the values of m as 1 and n as 0.

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Step-by-step explanation:

the ratio between two circles vqjoizxcvu g çm

Step-by-step explanation:

[tex] = (2 {a}^{ - 5} ) \times ( - 5 {a}^{9} )[/tex]

[tex] = (2 \times ( - 5)) {a}^{ - 5 + 9} [/tex]

[tex] = - 10 {a}^{4} [/tex]