PICTURE ATTACHMENT IS BELOW

Answer:

Step-by-step explanation:

There are but a few rules we have to follow when completing the square. However, they are very important rules so we have to be careful. First and foremost, the coefficient on the x-squared term HAS to be a positive 1. If it is not, we have to manipulate the function so it is a positive 1. Then we take half the linear term, square it and add it to both sides (and sometimes this can be very tricky. It is tricky here, so pay attention.)

We begin by separating the x terms from the constant by setting the parabola equal to 0 and moving the constant:

[tex]-x^2-2x=5[/tex]

The coefficient on the x-squared is a negative 1, so we factor out the negative:

[tex]-(x^2+2x)=5[/tex]

The linear term is 2. We take half of 2 which is 1, square 1 to get 1 and add it into the left side. BUT don't forget that we have a -1 out front of the ( ) refusing to be ignored. It is a multiplier. That means that we didn't add in a +1, we added in -1(1) which is -1. That is what we add to the right side:

[tex]-(x^2+2x+1)=5-1[/tex] which simplifies to

[tex]-(x^2+2x+1)=4[/tex]

The reason for this process is that by completing the square you create a perfect square binomial on the left. We rewrite the parabola in terms of that perfect square binomial:

[tex]-(x+1)^2=4[/tex] which simplifies to

[tex]-(x+1)^2-4=y[/tex]

From this you can now determine that the vertex of the parabola is (-1, -4)

Answer:

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Step-by-step explanation:

I'm not too good with the quadratic formula so I'm going to complete the square.

First divide everything by 9 and move the 1 to the other side.

[tex]x^2-\frac{7}{9}=-\frac{1}{9}[/tex]

Then take half of [tex]\frac{7}{9}[/tex] and square it and add it to both sides.

[tex]x^2-\frac{7}{9} +\frac{49}{324}=\frac{13}{324}[/tex]

Now you can factor it.

[tex](x-\frac{7}{18})^2=\frac{13}{324}[/tex]

Square root:

[tex]x-\frac{7}{18}=\frac{\sqrt{13} }{18}[/tex]

[tex]x=\frac{\sqrt{13}-7 }{18} ,x=\frac{-\sqrt{13}-7 }{18}[/tex]

Answer: rays or lines

Step-by-step explanation:

Answer:

I believe the answer is: B.) lines

Hope this helps God bless!

Answer:

0.14

Step-by-step explanation:

Answer:

Number of people in a room

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:  b) FALSE

Step-by-step explanation:

In order to show triangle congruency, you must be able to prove one of the following theorems:

SAS: Side-Angle-Side

SSS: Side-Side-Side

AAS: Angle -Angle-Side

ASA: Angle-Side-Angle

HL: Hypotenuse-Leg   (can only be used for right triangles)

We are only given information about two of the sides being congruent but no information on the third side or any of the angles so we canNOT prove the triangles are congruent.

Answer:

Expenditure x (in hundreds of dollars) = $2,000

Step-by-step explanation:

Given:

Profit p (in hundreds of dollars)

Expenditure x (in hundreds of dollars)

p(x) = -0.5x² + 20x + 23

Find:

Expenditure for advertising .

Computation:

x = -(Cofficient of x) / 2(Cofficient of x²)

x = -(20) / 2(-0.5)

x =  20

Expenditure x (in hundreds of dollars) = 20 × $100

Expenditure x (in hundreds of dollars) = $2,000

Answer:

see explanation

Step-by-step explanation:

(1)

The axis of symmetry is situated midway between the x- intercepts, thus

x = [tex]\frac{-3+5}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Equation of axis of symmetry is x = 1 → d

-----------------------------------------------------

(2)

The x- intercepts of a quadratic are the solutions, thus

x = 2 and x = - 3 → b

Answer:

(x+3)^2 + (y-2) ^2 = 25

Step-by-step explanation:

Equation of a circle: (x-h)^2 + (y-k)^2 = r^2

Center at (h,k)

Radius=r

Question:

The nth term of a sequence is [tex]\frac{3n^2}{2}[/tex] . Find the fifth term of the sequence

Answer:

The 5th term of the sequence is 37.5

Step-by-step explanation:

Given

[tex]nth\ term = \frac{3n^2}{2}[/tex]

Required

Find the 5th term

To find the 5th term, we simply substitute 5 for n in the above expression.

This gives

[tex]5th\ term = \frac{3 * 5^2}{2}[/tex]

[tex]5th\ term = \frac{3 * 5 * 5}{2}[/tex]

[tex]5th\ term = \frac{75}{2}[/tex]

[tex]5th\ term = 37.5[/tex]

Hence, the 5th term of the sequence is 37.5

Answer:

(-5.5, 3.2)

Step-by-step explanation:

According to the question, the data provided in the question is as follows

(x,y) = (x + 4.5 , y -6.2)

Now

(x + 4.5 , y -6.2) = (-1,-3)

Therefore

x + 4.5 = -1

So, the x equals to

= -1 - 4.5

= -5.5

Now

y - 6.2 =  -3

So, the y is

= - 3 + 6.2

= 3.2

hence, the coordinates of point C of x and y is (-5.5, 3.2)

Therefore the third option is correct

Answer:

C

Step-by-step explanation:

the Answer is:

3/4x + 1/4

Answer:

y=3/4 x + 1/4

Step-by-step explanation:

y=mx+b

(5,4) first point

(-3,-2) second one

m=y2-y1/x2-x1 =-2-4/-3-5=-6/-8=-3/-4=3/4

find b when x=5 and y= 4

y=mx+b

4=3/4 (5) +b

4-15/4 =b

4 b=16-15

b=1/4

perimeter of circle

2πr

perimeter of semi circle

2πr ÷ 2

=2π(25) ÷ 2

= 50π ÷ 2

= 25π

Ans = 25π

Answer:

The ball traveled 116.25 m when it hit the ground for the fifth term

Step-by-step explanation:

This is a geometric progression exercise and what we are asked to look for is the sum of a GP.

The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.

First value, a = 60

Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.

This is the common ratio, r = 1/2 = 0.5

The number of terms it hits the ground is the number of terms in the GP.

number of terms, n = 5

The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:

[tex]S_n = \frac{a(1 - r^n) }{1 - r} \\S_5 = \frac{60(1 - 0.5^5) }{1 - 0.5}\\S_5 = \frac{58.125}{0.5} \\S_5 = 116.25 m[/tex]

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

Answer:

1, 2, 4, 6 are true statements

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thnk me....

Answer:

0.3° = 0.3π/180

8° = 2π/45

Multiplying both

0.3π/180×2π/45

3/10π/180 × 2π/45

You will get

π/300 × π/45

= π²/13500 where a = π² b= 13500

Hope this helps.

Answer:

log(x + 1)inverse function y(x) = e^x + 3 - 4

Answer:

C. x²+12x+36

Step-by-step explanation:

Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:

(x+6)²=

(x+6)(x+6)=

Use FOIL method.

First: x²

Outer: 36

Inner: 6x

Last: 6x

x²+36+6x+6x=

x²+12x+36

The answer that fits is C. x²+12x+36.

Answer:

C. x²+12x+36

hope this helped

Answer:

Check below

Step-by-step explanation:

1) These metric volume units can be easily converted by dividing or multiplying by 10 and its multiple. Like this: each step up on the ladder multiply by 10. Each step down divide by 10

[tex]a)5270 \:cl=527\:dl\\b)kl=5.3 \times 10=530 hl\\c)58000ml=5.8 dal =(\frac{58000}{10000})\\d)0.39 dal=3.9 l\\e)7.8 dal=780 dl\\f)57.2 ml=5.72 cl[/tex].

2) When it comes to area, the "ladder scheme" remains valid but now we'll multiply or divide by

[tex]10^3[/tex]

Bear in mind these useful relations:

[tex]1litre =\frac{1}{10^3}m^{3}[/tex]

[tex]1 cm^{3} =1 ml[/tex]

[tex]a) 3.7 l=3700 cm^{3}\\b)29.6 dm^{3}\\29.6 dm^{3} \rightarrow 29.6\times10^{3} cm^3=29.6\times10^{3} ml = 29.6\times10^{2} cl \:or\:2960 cl\\c)8.1l=8100 cm^{3}\\d)5l=\frac{5}{10^{-3}} m^{3}\\e)5.2 cl=52ml=52 cm^{3}=52\times10^{3}=52000 \:mm^{3}\\f)375 ml=375 cm^{3}\\g) 1300 cm^{3}=1300 ml=13 dl\\h) 8.6 ml= 8.6 cm^{3}\times\: 10^{3}=8600 mm^{3}\\i) 51.8\times 10^{11} l \rightarrow 51.8\times 10^{-11}km^{3}[/tex]

Notice that

(1 + x)(1 + y) = 1 + x + y + x y

So we can add 1 to both sides of both equations, and we use the property above to get

a + b + a b = 76  ==>  (1 + a)(1 + b) = 77

and

c + d + c d = 54  ==>  (1 + c)(1 + d) = 55

Now, 77 = 7*11 and 55 = 5*11, so we get

a + 1 = 7  ==>  a = 6

b + 1 = 11  ==>  b = 10

(or the other way around, since the given relations are symmetric)

and

c + 1 = 5  ==>  c = 4

d + 1 = 11  ==>  d = 10

Now substitute these values into the desired quantity:

(a + b + c + d) a b c d = 72,000

Answer:

A

Step-by-step explanation:

It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.

Plss brainliest

Answer:

In the Bones

Step-by-step explanation:

apex checked by myself

Answer:

The triangle's area is 12 square units.

Step-by-step explanation:

We start by drawing the requested points A = (-4, -3) and B = (0, -3), which we notice are located horizontally on the line of y = -3 and separated 4 units from each other (see red dots in the attached image).

Then we look for a point over the line y = 3 that is equidistant from points A and B (so we place it at the point (-2, 3)) and name it "C".

Now, the triangle ABC defined by the three points has base = 4 units, and height = 6 units (from the line y = -3 to the line y = 3).

Then recall that the area of a triangle is defined by the product of the triangle's base times its height, divided by two:

[tex]Area=\frac{base\,*\,height}{2} \\Area=\frac{4\,*\,6}{2} \\Area = 12[/tex]

So the triangle's area is 12 square units.

Answer:

0; one real roots

* the answer is C

Answer:

21

Step-by-step explanation:

since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .

Therefore,x +13=34

x=34 -13

x=21(d)

Answer:

27

Step-by-step explanation:

Given that:

(15+17+22+14+19+x) divided by 6 = 19

(87 + x) divided by 6 = 19

87 +x = 114

so x = 27.

Therefore the age of person 6 = 27

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:

x=4 and y=11

Step-by-step explanation:

x+y=15

5x-y=9

x+5x-y+y=15+9

6x=24

X=4

x+y=15

4+y=15

y=11