Multiply This Equation & Simplify:

Question Is In The Photo...​

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!

5x²-2x+16=4x²+6x

5x²-2x+16-4x²-6x=0

x²-8x+16=0

D= b²-4ac

= (-8)²-4×1×16

=0

x=-b/2a

= 8/2

=4

-> B

Answer:

4! I figured it would be more than just one answer but it’s only 4

Step-by-step explanation:

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:

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

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:

y = -5x + 9.

Step-by-step explanation:

Lets look for the relation between x and y.

Try the first one:

When x = -2, y = -(-2) + 10 = 12  

In the table y = 1 so its not this one.

Number 2:

x = -2, y = 10(-2) + 1  = -18 - Not thios one

Number 3:

When x = -2, y = -10(-2)  - 9 = 11

Not this one

Number 4:

y = -5(-2) - 9 = 1

This is the one.

Check again with x = 0:

When x = 0, y = -5(0) - 9 = -9.

Answer:

V = 2 144.66058485063 m³

Step-by-step explanation:

Formula : ( volume V of a sphere of radius r )

[tex]V\ =\ \frac{4}{3} \times \pi \times r^{3}[/tex]

Therefore

[tex]V\ =\ \frac{4}{3} \times \pi \times 8^{3}[/tex]

[tex]V\ =\ \frac{4}{3} \times \pi \times 512[/tex]

⇒ V = 2 144.66058485063 m³ (use a calculator)

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:

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.

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.

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

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.

To find the surface area:

  ⇒ let's define what makes up the surface area of a cylinder

      ⇒ it is made up of two circles as its bases and its side is a long

          rectangular piece curved around

Area of Two Circles

⇒ Area of Circle Formula = [tex]\pi r^{2}[/tex]

     ⇒ Area of Two Circle Formula = [tex]2\pi r^{2}[/tex]

         ⇒ since r: is length of radius --> 0.75 cm (radius is half of diameter)

             ⇒ Area of Two circles:  [tex]2\pi (0.75)^{2} =3.5343[/tex]

Area of Rectangular piece curved around to form Cylinder

  ⇒ length: circumference of a circle ⇒ [tex]2\pi r[/tex]

       ⇒ width: height of the cylinder ⇒ 5cm

          ⇒ Area of Rectangular piece: [tex]2*\pi *0.75*5=[/tex] 23.5169

Total Area = 27.0512 = 8.6257[tex]\pi[/tex] square centimeters ⇒ Choice (B)

Hope that helps!

Answer:

56.25

Step-by-step explanation:

i just did the test

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.

Answer:

Hello! Here are your answers for Part A:

4(x + 6) - 11 = 25 is a multi-step equation.

-1/2(2/3a - 4) = 1/2a - 7 is an equation with rational coefficients.

y - 23 = 8 is a one-step equation.

-3m - 2 = -17 is a two-step equation.

For Part B:

Find the common denominator -

x/2 - 7 = 4

x/2 + 2(-7)/2 = 4

Combine the fractions with the common denominator -

x/2 + 2(-7)/2 = 4

x + 2(-7)/2 = 4

Multiply the numbers -

x + 2(-7)/2 = 4

x - 14/2 = 4

Multiply all terms by the same value to eliminate fraction denominators -

x - 14/2 = 4

2 * x - 14/2 = 2 * 4

Cancel multiplied terms that are in the denominator -

2 * x - 14/2 = 2 * 4

x - 14 = 2 * 4

Multiply the numbers -

x - 14 = 2 * 4

x - 14 = 8

Add 14 to both sides -

x - 14 = 8

x - 14 + 14 = 8 + 14

Simplify -

x - 14 + 14 = 8 + 14

x = 8 + 14

x = 22

The solution to this equation is 22. 6 is NOT a solution.

Hope this helps! Have a great day.

Answer:

negative correlation

Step-by-step explanation:

his fuel keeps decreasing every time he uses his motorcycle

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:

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:

[tex]7x2x5= 70[/tex]

Hope This Helps! :)

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

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:

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:

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:

b = 12

Step-by-step explanation:

b/3 + 4 = 8

subtract 4 on both sides

b/3 = 4

multiply 3 with 4

b = 12