Add. Write the answer as a fraction simplified to lowest terms.
2+1 15 20 =

Answer:

x^2 – 4 = 0   AND   4x^2 = 16

Step-by-step explanation:

a) x^2 – 4 = 0 --> (x + 2)(x - 2)=0 --> x= -2 AND x= +2

b) x^2 = -4 doesn't have any solution in the real numbers.

c) 3x^2 +12 = 0 -->(divide by 3)-->  x^2 +4 =0 ---> x^2 = -4  as b)

d) 4x^2 = 16 -->(divide by 4)--> x^2 = 4  --> x^2 -4 = 0 as a)

e) 2(x -2)^2 =0 -->(divide by 2)--> (x-2)^2 =0 --> one solution that is x=+2

Answer:

100 trees per person

Step-by-step explanation:

10^12 trees / 10^10 persons =  10^(12-10) = 10^2 trees/person

Answer:

Step-by-step explanation:

Givens

There are 10^12 trees

There are 10^10 people

Solution

Number of trees / person = Number of trees / Number of people = 10^12/10^10= 10^(12 - 10) = 10^2 = 100

There will be 100 trees / every person on the planet.

Answer:

So you shade 8 parts in and the remaining is 4 so that the other 1/3 of 2/3

Answer

so basically you're asking shade 2/3 out of 12 equal pieces

so lets do 12 divided by 3 witch is four

so there would be 3 parts that have 4 pieces, and 4 times two is eight, so shade in 8 pieces :0 :)

Answer:

vertex: (3, -10)

axis of symmetry:  x = 3

Step-by-step explanation:

Vertex form of a quadratic equation:  [tex]y=a(x-h)^2+k[/tex]

(where (h, k) is the vertex)

Rewrite the given equation in vertex form by completing the square.

Given equation:

[tex]y=3x^2-18x+17[/tex]

Add 10 to both sides:

[tex]y+10=3x^2-18x+27[/tex]

Factor RHS:

[tex]y+10=3(x^2-6x+9)[/tex]

[tex]y+10=3(x-3)^2[/tex]

Subtract 10 from both sides:

[tex]y=3(x-3)^2-10[/tex]

Therefore, the vertex is (3, -10)

The axis of symmetry is the x-value of the vertex.  
Therefore, the axis of symmetry is x = 3.

Answer:

Axis of symmetry: x = 3

Vertex: (3, -10)

Step-by-step explanation:

y = 3x² - 18x + 17

Axis of symmetry formula: x = [tex]\sf{\frac{-b}{2a}}[/tex]

[tex]\sf x={\frac{-b}{2a}}\implies \textsf{Substitute -18 for b and 3 for a}\\\\\sf\ x={\frac{-(-18)}{2(3)}}\implies\textsf{multiplying 2 negatives makes a positive}\\\\\sf\ x={\frac{18}{6}}\implies \textsf{divide}\\\\\ \boxed{\sf x=3}\implies \textsf{axis of symmetry}[/tex]

Now, substitute 3 for x in your original equation to find the value of y:

y = 3x² - 18x + 17

y = 3(3)² - 18(3) + 17 <== exponents first

y = 3(9) - 54 + 17 <== multiply

y = 27 - 54 + 17 <== subtract

y = -27 + 17 <== add

y = -10

Vertex: (3, -10)

Hope this helps!

Simplify both sides to compare:

6^2 - 2^2 = 36-4 = 32

4(6+2) = 4 x 8 = 32

they are equal to each other.

Answer: B. =

Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

Using the normal distribution, it is found that there is a 0.0228 probability that a randomly selected score is greater than 334.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 310, \sigma = 12[/tex]

The probability that a randomly selected score is greater than 334 is one subtracted by the p-value of Z when X = 334, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{334 - 310}{12}[/tex]

Z = 2

Z = 2 has a p-value of 0.9772

1 - 0.9772 = 0.0228.

0.0228 probability that a randomly selected score is greater than 334.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

D

Step-by-step explanation:

To reflect over the Y axis, the X values of each coordinate must be made into opposites. So a coordinate with the form (x,y) will become (-x,y) when reflected across the Y axis, which is needed here.

Count the total number of permutations of the word "calculus": there are 8 letters, hence 8! = 40,320 total permutations.

Count the number of permutations in which the two L's occur next to each other. Effectively we're now talking about words consisting of 7 letters, of which there are 7! = 5,040.

It follows that there are

8! - 7! = 35,280

words in which two L's do not appear next to each other.

6.5 because if you place the numbers from smallest to greatest and find the two numbers in the middle which are 5 and 8 you should add them and then divide by 2 and this is the answer

We will see that the total mass of the entire archway is M = 129.1578g

We know that each ballon weighs 0.027 grams for the plastic.

Now, we also need to remember the relation:

mass = density*volume.

Here, the density of helium is 0.1785 g/L

And the volume of each ballon is 1.1 L, then the mass of helium in each ballon is:

m = (0.1785 g/L)*(1.1 L) = 0.1964 g

Then the total mass of each ballon is:

M = 0.1964 g + 0.027g = 0.2234g

And there are 417 ballons, so the total mass (also adding the 36 grams for the strings) is:

Mass = 417*0.2234g + 36g = 129.1578g

If you want to learn more about mass, you can read:

https://brainly.com/question/1354972

Answer:

It is A

Step-by-step explanation:

The denominator , 'x' cannot be 0    <=====undefined

  but it CAN be any other number

    domain ( the 'x' values' ) can be all numbers except 0

 The range will be all numbers except zero also....there is no way to make the y = 9/x  eqaul to 0 .

your answer is going to be a

Answer:

1.5 litres

Step-by-step explanation:

1/2 of the punch in a 3 litre bottle is found by dividing 3 by 2, splitting it in half. 3÷2=1.5, or 1 and a half litres

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

D.

Based on the net cashflow over the three year life, the NPV that Sausage Hut will realize is -$17,891.

First find the present value of the increased cashflows. As it is a constant amount of $123,300, we can treat it as an annuity.

Present value = Amount x (Present value of annuity interest factor, 9%, 3 years)

= 123,300 x 2.5313

= $312,109.29

The net present value is:
= Present value of cashflows - Amount invested

= 312,109.29 - 330,000

= -$17,890.71

= -$17,891.

In conclusion, option B is correct.

Find out more on Net Present Value at https://brainly.com/question/13228231.

Answer:

Here is answer my monkey brotheren

Step-by-step explanation:

Answer:

3 1/3 hours

Step-by-step explanation:

if you use cross multiplication and multiply 1 by 2 2/3 you get 2 2/3 and if you multiply 1/4 by 2 2/3 add them together and you'll get 3 1/3 hours or also known as 3 hours and 20 minutes

Answer:

[tex]7x2x5= 70[/tex]

Hope This Helps! :)

Answer:

D

Step-by-step explanation:

When you flip a point around the y axis the x value is inverted since the point is moved to the opposite side across the y axis.

Answer:

4 feet by 3 feet

Step-by-step explanation:

width-to -height ratio of 16:9

Let analyse all possible answers:

4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

I choose A.

Hope it will find you well.

Answer:

Radius.

Step-by-step explanation:

● The distance from the centre to any other point on the circle is known as the radius.

Other Definitions:

● Diameter is the the distance from one point to another point of the circle which passes through the centre of the circle.

● The space enclosed by a figure is known as its area. Area of a circle = πr²

● Circumference of a circle is its outer perimeter. Circumference = 2πr

____________

Hope it helps ⚜

Answer:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12

Answer:

If the tax rate = 3.9% and the product u are buying is priced at $42 Then, the amount you will pay for the object will be, $42 + 3.9/100 * 42

Step-by-step explanation:

I hope this help

Answer:

infinity

Step-by-step explanation:

the distributive property is used when 3 is multiplied to x and 5 so it becomes 3x-15 and you combine like terms after that.