Use the method of completing the square to write the equations of the given parabola in this form: (y-k)=a(x-h)^2 where a =0, (h,k) is the vertex, and x=h is the axis of symmetry. Find the vertex of this parabola: y=-x^2-2x-5

Answer:

The graph of g(x)=(x+2)^2 is a translation of the graph of f(x) LEFT by TWO units.

Answer:

y = 8.5x

Step-by-step explanation:

A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation

y = kx, where k is constant of proportionality

________________________________________________

Let  the  relation be

y = kx

but we have a as 3 and b as 25.5

thus

substituting value of and a and b in y = kx , we have

25.5 = k*3

=> k = 25.5/3 = 8.5

Thus, equation which can represent this relation is y = 8.5x

Answer:

[tex] \boxed{x = p(m - n)} [/tex]

Step-by-step explanation:

[tex] = > m = n + \frac{x}{p} \\ \\ = > m = (n \times \frac{p}{p} ) + \frac{x}{p} \\ \\ = > m = \frac{pn}{p} + \frac{x}{p} \\ \\ = > m = \frac{pn + x}{p} \\ \\ = > mp = pn + x \\ \\ = > x + pn = pm \\ \\ = > x = pm - pn \\ \\ = > x = p(m - n)[/tex]

Answer:

4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = s / 4 sqrt(2)

Multiply each side by 4 sqrt(2)

4 sqrt(2) *sin 45 = s

4 sqrt(2) * 1/ sqrt(2) =s

4

Answer:

786432

Step-by-step explanation:keep multipying it by 2 stupid

The 19th term of the given geometric sequence is 786432.

Important information:

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]        ...(i)

Where a is the first term and r is the common ratio.

In the given geometric sequence, [tex]a=3[/tex] and [tex]r=\frac{6}{3}=2[/tex].

Substitute [tex]a=3,r=2,n=19[/tex] in (i) to find the 19th term.

[tex]a_{19}=3(2)^{19-1}[/tex]

[tex]a_{19}=3(2)^{18}[/tex]

[tex]a_{19}=3(262144)[/tex]

[tex]a_{19}=786432[/tex]

Therefore, the 19th term of the given geometric sequence is 786432.

Find out more about 'Geometric Sequence' here:

https://brainly.com/question/1261702

Answer:

the area is 28.2

Step-by-step explanation:

28.27433388

Answer: hello this its 28.27433388

thats what i got

Step-by-step explanation:

Answer: Area for trapezoid= 1/2(4+5×1)=4.5 m

Area of triangle= Iam not exactly sure

hope this helped you a bit

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

given

6x² + 17x + 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 6 × 5 = 30 and sum = 17

The factors are 2 and 15

Use these factors to split the x- term

6x² + 2x + 15x + 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) + 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x + 5) → b

The two steps are [tex]3x(2x+5)+1(2x+5)[/tex] and [tex](3x+1)(2x+5)[/tex]. So, options b and d are correct.

Important information:

Splitting the middle term, we get

[tex]6x^2+15x+2x+5[/tex]

After grouping, we get

[tex](6x^2+15x)+(2x+5)[/tex]

Taking out common factors, we get

[tex]3x(2x+5)+1(2x+5)[/tex]

Now, it can be written as:

[tex](3x+1)(2x+5)[/tex]

Therefore, the correct options are b and d.

Find out more about 'Factoring' here:

https://brainly.com/question/2416165

Answer:

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Answer:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

Step-by-step explanation:

Let initial population = [tex]x[/tex]

It is given that population gets doubled every 10 minutes.

Population after 10 minutes = [tex]2x[/tex]

Population after 20 minutes = [tex]2^{2} x[/tex]

:

:

Population after 80 minutes = [tex]2^{8} x[/tex] and it is given as 80000.

[tex]\Rightarrow 2^{8} x = 80000\\\Rightarrow x = \dfrac{80000}{256}\\\Rightarrow x = 313[/tex]

So, initial population is 312.5 = ~313

To find, population after 5 hours i.e. 5 [tex]\times[/tex] 60 = 300 minutes

Population after 300 minutes =

[tex]2^{30} x\\\Rightarrow 2^{30} \times 313\\\Rightarrow 3.36 \times 10^{11}[/tex]

So, the answers are:

Initial population = 313

Population after 5 hours = [tex]3.36 \times 10^{11}[/tex]

Answer :

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

Answer:

m=-5/4

Step-by-step explanation:

the slope is always defined as "the change in y over the change in x" m= y2-y1/x2-x1

Answer:

A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)

Step-by-step explanation:

Rule of rotation about the origin at an angle of 90° in the counterclockwise direction:

The stated value of (x, y) after performing the translation are switched or interchanged, with x used as the y coordinate value and the negative value of y used as the x coordinate value. That is ;

(x, y) - - - -> (-y, x)

Solving the problem above:

Applying translation: (x-2, y+3), then rotating about the origin at 90° in the counterclockwise direction.

A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4)

(-7, 4) - - -> A' = (-4, - 7)

B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5)

(-4, 5)- - -> B' = (-5, -4)

C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4)

(-3, 4) - - -> C' = (-4, -3)

D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3)

(-4, 3)- - -> D' = (-3, -4)

Answer:

the other guy is correct.

Step-by-step explanation:

Answer:

D. both lines

Step-by-step explanation:

I am 100% sure! Please give brainiest!!!

Answer:

[tex] \sqrt{19} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which x represents the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]x = \sqrt{( { \sqrt{10} })^{2} + {3}^{2} } \\ \\ = \sqrt{10 + 9} \\ \\ = \sqrt{19} \: units \\ [/tex]

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

Answer:

Out put would be - 2

Step-by-step explanation:

[tex]y = 3x \div 9 \\ y = \frac{3x}{9} \\ y = \frac{x}{3} \\ plug \: x = - 6 \\ y = \frac{ - 6}{3} \\ \huge \purple{ \boxed{ y = - 2}}[/tex]

Answer:

D

Step-by-step explanation:

Let's say we're translating the origin, (0, 0) left 6 units and up 4 units. We would get ( -6, 4), which is (x - 6, y + 4), which is D

Answer:

That would be 3.455

Step-by-step explanation:

3.45 bar means the 45 at the back is repetitive.

So we have something like;

3.454545454

Now writing this to three decimal places becomes 3.455

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

Answer:

Y=x^2+8

Step-by-step explanation:

Answer:

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

-16t2+64t+3

The height of the baseball after 3.5 seconds is ___ feet.

Step-by-step explanation:

Consider the provided expression.

The height of a baseball, in feet, is represented by this expression, where t is time in seconds.

[tex]h=-16t^2+64t+3[/tex]

To find the height of the baseball  after 3.5 seconds, substitute the value of t = 3.5 in above expression

[tex]h=-16(3.5)^2+64(3.5)+3h\\\\=-16(12.25)+224+3h\\\\=-196+227h=31[/tex]

Hence, the height of the baseball after 3.5 seconds is 31 feet.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The height of a baseball, in feet, is represented by this expression -16t²+64t+3, where t is time in seconds. The height of the baseball after 3.5 seconds is___ feet.

Given the height of the baseball modeled by the equation

h(t)  = -16t²+64t+3

To get the height of the baseball after 3,5secs, we will substitute t = 3.5s into the equation of the height as shown;

[tex]h(3.5) = -16(3.5)^{2} +64(3.5)+3\\h(3.5) = -16(12.25)+224+3\\ h(3.5) = -196+224+3\\ h(3.5) = -193+224\\ h(3.5) = 31feet[/tex]

The height of the baseball after 3.5 seconds is 31feet.

Answer:

180

Step-by-step explanation:

Answer:

The trip is 45 and 1/2 miles long

Step-by-step explanation:

The full recursive formula can be defined by these two parts

[tex]\begin{cases}a_1 = -0.56\\ a_n = 10*a_{n-1}\end{cases}[/tex]

The top part tells us the first term is -0.56, while the second part says to get each new term we multiply the prior term by 10

second term = 10*(first term) = 10*(-0.56) = -5.6

third term = 10*(second term) = 10*(-5.6) = -56

etc etc