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The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

[tex]\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)= \log _66x\\[/tex]

Take antilog, then we have

[tex]\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}[/tex]

Then the value of the x is 2 and 4.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

D. 2 and 4

Step-by-step explanation:

Answer:

An arithmetic sequence is an ordered set of numbers where the difference between each consecutive term is the same (this is called the "common difference").

The formula for each term in an arithmetic sequence is:

[tex]\sf a_n=a+(n-1)d[/tex]

where:

Example

Sequence:  3, 10, 17, 24, 31, ...

The first term in the sequence is 3, therefore a = 3

The common difference can be found by subtracting one term from the next:  d = 10 - 3 = 7

Substituting these values into the equation for the nth term:

[tex]\implies \sf a_n=3+(n-1)7[/tex]

[tex]\implies \sf a_n=3+7n -7[/tex]

[tex]\implies \sf a_n=7n -4[/tex]

Therefore, if we want to find the 5th term of the sequence, simply input
n = 5 into the found equation:

[tex]\implies \sf a_5=7(5)-4=31[/tex]

Yes we can find terms

The formula is

Where

Answer:

x=0.38

Step-by-step explanation:

3x+0.15=1.29    1. -0.15 on both sides

3x=1.14  2. /3 on both sides

x=0.38

Answer:

the linear function is f(x)=6x-24

Step-by-step explanation:

I hope it helped you

Answer:

  ΔABC ≅ ΔEFD

Step-by-step explanation:

The congruence statement will list corresponding parts of the figures in the same order.

The left side of the statement is ΔABC, so we need to find the parts that correspond to A, B, and C, and list them in the same order. We notice that A is the marked angle, as is E. B is the other end of the line segment with 1 hash mark, as is F. Then corresponding vertices are ...

Consequently, the congruence statement must be ...

  ΔABC ≅ ΔEFD

well, the total amount is "x", which oddly enough is 100%, and we also know that 22% of that is 27.9 millions, so

[tex]\begin{array}{ccll} \stackrel{millions}{amount}&\%\\ \cline{1-2} x & 100\\ 27.9& 22 \end{array} \implies \cfrac{x}{27.9}=\cfrac{100}{22} \\\\\\ 22x=2790\implies x=\cfrac{2790}{22}\implies x\approx 127[/tex]

Answer:

8m

Step-by-step explanation:

an = 2 an-1 means that each term in the sequence( except the first) is obtained by multiplying the last term by 2, so the first 4 terms are m, 2m, 4m, 8m.

Answer:

your question seem off but if its x² + 2x + y² +10y=15

Step-by-step explanation:

the answer will be

center = (-1,-5)

radius = square root 41

which will be C:center (-1,-5), radius square root 41

Answer:

The wheel radius is 18

Step-by-step explanation: Just got it right

yes and you also have $1.06 as a remainder.

hope it helps..!!!

Answer:

C. 9

Step-by-step explanation:

y = -4x^2 + 2kx

subtitute 3:

y = -4(9)^2 + 2k(9)

y = -4(81) + 18k

let y = 0

=> 0 = -324 + 18k

=> k = 324/18 = 9

this is my calculations hope it helps

The perimeter of the rectangle of length (x₂ - x₁) and width (y₂ - y₁) will be 2(x₂ - x₁) + 2(y₂ - y₁). Then the correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The length of the rectangle will be (x₂ - x₁) and the width of the rectangle will be (y₂ - y₁).

Then the perimeter of the rectangle will be

Perimeter = 2(x₂ - x₁) + 2(y₂ - y₁)

More about the rectangle link is given below.

https://brainly.com/question/10046743

[tex]x^2+4x+4 = 8\\\\\implies x^2+2\cdot 2 \cdot x+2^2 = 8\\ \\\implies (x+2)^2 = 8\\\\\implies x+2 =\pm\sqrt 8\\\\\implies x +2 = \pm\sqrt{4 \times 2}\\\\\implies x +2 = \pm2\sqrt 2\\\\\implies x =-2 \pm2\sqrt2[/tex]

Step-by-step explanation:

Shouldn't it be x^1 y. It's Because these are cancelled out.

we know that,

probability = no. of favourable outcomes/total outcomes

so,

probability of getting a blue card

probability of getting a green card

The provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.

For this equation, the discriminant value can be given as,

[tex]D=b^2-4ac[/tex]

In this equation,

The quadratic equation given as,

[tex]0=ax^2 +bx +c[/tex]

This quadratic equation has a discriminant value of -16. As the value of discriminant is negative, thus it has no real solution.

Hence, the provided quadratic equation, which has a negative discriminant value of -16, has no real number solutions.

Learn more about the discriminant value here;

https://brainly.com/question/24730520

Answer:

32/52 = 16/26 = 8/13

Step-by-step explanation:

If only Black cards = 26 this includes all black face cards

Face cards = 3 in each suit, 2 red suits so  3 × 2=6

26 + 6 = 32

Answer:

7 for each week

Step-by-step explanation:

7:1 = 7 dollars in 1 week

14:2

21:3

28:4

35:5

42:6

49:7

56:8

63:9

70:10

77:11

84:12

Answer:

How many weeks 23 34 85? if its 23 161 if its 34 238 and if its 85 595

Step-by-step explanation:

Answer: A

Step-by-step explanation:

You have:

[tex]20cos(\frac{2\pi }{5} x)=10\sqrt{2}[/tex]

Begin by dividing both sides by 20 to get:

[tex]cos(\frac{2\pi }{5} x)=\frac{\sqrt{2} }{2}[/tex]

Take the arccosine of both sides to get:

[tex]arccos(cos(\frac{2\pi }{5} x))=arccos(\frac{\sqrt{2} }{2})[/tex]

[tex]\frac{2\pi }{5} x=arccos(\frac{\sqrt{2} }{2} )[/tex]

First of all, lets find the right side. Cosine of what gives sqrt 2 over 2? That would be pi/4, plus 2npi. Another solution would be 7pi/4, plus 2npi. We have:

[tex]\frac{2\pi }{5} x=\pi /4+2n\pi[/tex]

[tex]\frac{2\pi }{5} x=7\pi /4+2n\pi[/tex]

Isolate 'x' to get:

[tex]x=\frac{5}{2\pi } (\pi /4+2n\pi)=\frac{5}{8} +5n[/tex]

[tex]x=\frac{5}{2\pi } (7\pi /4+2n\pi)=\frac{35}{8} +5n[/tex]

Answer:

both answer is wrong because in this expression

4g+12-g+5

3g+17 is the answer

Answer: 3

Step-by-step explanation: perimeter = 2( length and width )

20 = 2(7 +s)

20 = 14 + 2s

6= 2s

S =3

Answer:

∠1 = 130°

∠2 = 50°

∠3 = 130°

Step-by-step explanation:

As we can see Angles 1 and 50° are on a straight line. As :

Angles on a straight line add up to 180. So :

50 + ∠1 = 180

∠1 = 180-50

∠1 = 130

As we can angles 1 and 2 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠1 + ∠2 = 180

As we worked out ∠1 we can substitute that in to work out ∠2 :

130 + ∠2 = 180

∠2 = 180-130

∠2 = 50

As we can angles 2 and 3 are on a straight line. As :

Angles on a straight line add up to 180. So :

∠2 + ∠3 = 180

As we worked out ∠2 we can substitute that in to work out ∠3 :

50 + ∠3 = 180

∠3 = 180-50

∠3 = 130

Hope this helped and brainliest please.

The probability that 2 clients would have rented an AMG G63 from the 5 people will be 0.0625.

From the information given, the probability that 2 clients would have rented an AMG G63 from the 5 people will be:

= 0.25 × 0.25

= 0.0625

The probability that a hired bike will be deemed beyond repair, provided that the wheels get damaged independently of each other will be:

= 8% × 12%

= 0.08 × 0.12

= 0096

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ1

Answer:

-3x + 7

Step-by-step explanation:

Divide -8x + 6    into   the product   to find the other is -3x+7

Answer:

-29

Step-by-step explanation:

Remove the brackets: -20 - 9

= -29

Answer:

f(x)=3x−3

Step-by-step explanation:

hope this helps.

Answer: $7,500

Step-by-step explanation:

Use the formula: SI = P(1 + rt)

SI = 5000(1 + 0.05[10])

SI = 5000 + 2500

SI = $7,500

After 10 years, your balance should be $7,500

Answer: the Answer is D) Twice as much time is spent on TV as is spent on homework

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

First, we subtract 32 from 90(90deg-32deg) since the entire corner of the problem is the main area we will be focusing on. We get 58deg, and that's your answer!

Answer:

x = 58

Step-by-step explanation:

Look at the picture I have below.

It shown a complementary and supplementary angle.

As we can see there is complementary and supplementary angle in the given picture you have.

Also note that:

Complementary = 90 degree

Supplementary = 180 degree

Since we are solving for x and it close to complementary thus the equation can be written as:

x + 32 = 90

Subtract both sides by 32

x + 32 - 32 = 90 - 32

90 - 32 = 58

Hence x = 58

Kavinsky