vertex form equation 4(x+2)^2-81
what is the solution?​

[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]

Answer: 5,5 have a great day

The translated point (5, 5)

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

In the first quadrant, you start at (5,3) and move 2 units up.

Here, up means positive changes in the second value of coordinates

Translation:

(x, y) → (x, y +2)

(5,3)  → (5, 3 +2)

(5,3)  → (5, 5)

Therefore, the point is (5, 5)

To learn more about the translation in geometry;

https://brainly.com/question/2373420

#SPJ2

Answer: 1,045,440,000

Explanation:

1 mile = 5280 feet

55 x 5280 = 290400

290400 x 60 = 17424000

17424000 x 60 = 1045440000

3 words. Get. A. Caluculator.

Lol I hope this helps!

Answer:

Step-by-step explanation:

Mile to feet

Hour to seconds

Speed of the car

Answers:

x = 4

RM = 7

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

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14

Answer:

-15

Step-by-step explanation:

45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45

Answer: 11

Step-by-step explanation:

Answer:

n=5 hope this helps

Step-by-step explanation:

Answer:

4x10^-3

Step-by-step explanation:

because it was in a deciaml, it has to be negative

The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.

We have to find whether it is correct or not and why ?

What do you mean by decimal fraction ?

A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.

As per the question ;

The decimal number given is 0.00436.

To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.

and

We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]

So,

The correct estimate will be ;

= 4.36 × [tex]10^{-3}[/tex]

Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

To learn more about decimal to power of 10 click here ;

https://brainly.com/question/15211458

#SPJ2

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

(3x-2)(x-2)(x+1)

Step-by-step explanation:

Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor

To find the other factors, we shall divide the polynomial by the given factor

That will be;

3x^3-5x^2-4x + 4/(x-2)

we use long polynomial division here

Please check attachment for the division

The division yields 3x^2 + x - 2

what is left is to factorize the expression above

That will be;

3x^2 + 3x -2x - 2

= 3x(x + 1) -2(x + 1)

So we have (3x-2)(x + 1)

So the complete factorization will be;

3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

Answer:

It's D, neither

Step-by-step explanation:

Answer:

Im pretty sure its 8 2/3

Answer: 26/3

Step-by-step explanation: 13/1 times 2/3

P = 10a + 68 cm

Hi there !

P = 2w + 2l

= 2(2a - 34) + 2(3a + 75)

= 4a - 68 + 6a + 150

= 10a + 68 cm

Good luck !

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

The number of stars in the observable universe is; 3.033 × 10¹⁴

Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;

However, there are about 100 billion galaxies in the observable universe.

We can rewrite that in scientific notation form so that we have;

Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

By the laws of indices;

Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.

Read more;

https://brainly.com/question/24291110

Answer:

negative slope

Step-by-step explanation:

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

Answer:

y = 1.37

Step-by-step explanation:

30y = 41.10

divide both sides of the equation by 30

30y/30 = 41.10/30

y = 41.10/30

y = 1.37

Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable X is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]

                            [tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]

The corresponding value of z is, 0.25.

Compute the value of x₁ and x₂ as follows:

[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex]                [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]

Low: 15.4 years

High: 16.6 years

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

The solution to this equation is:

C.) x=7

Answer:

Distance = speed x time.

Step-by-step explanation:

Hope I helped

Answer:

5/2

Step-by-step explanation:

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

Answer:

The slope is (DNE), undefined.

Step-by-step explanation: