pleaseeeee helpppppp!!!!

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:

20 + 14 + 8 + 28 = 70

70/4(we're dividing by 4 cause the no.of characters is 4)

and = 17.5

hope it really helps...!!!

Answer:

A i= 44. B i= 44. C i= 40.

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:

both answer is wrong because in this expression

4g+12-g+5

3g+17 is the answer

The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.

A cube is a 3D- form of a square and its volume is found in the formula:

V=s³, where: s is the length of each side of a cube.

If the small cube has a volume ([tex]V_s[/tex]) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus

[tex]V_s[/tex]=64 ft³

[tex]s_v^3[/tex]=64

[tex]s_v=\sqrt[3]{64}\\ \\ s_v=4 ft[/tex]

A larger cube has sides ([tex]s_l[/tex]) that are three times as long as the small cube. Therefore, [tex]s_l=3s_v[/tex]. If [tex]s_v[/tex]=4 ft, the [tex]s_l[/tex] will be:

[tex]s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft[/tex]

Read more about the volume of a cube here:

https://brainly.com/question/3390425

Answer:

[tex]\sf Area\:of\:a\:triangle=\dfrac12 \times base \times height[/tex]

Given:

Substitute the given values into the equation and solve for h:

[tex]\sf \implies 18 = \sf \dfrac12 \times 6 \times (h+1)[/tex]

[tex]\sf \implies 18 = \sf \dfrac62 (h+1)[/tex]

[tex]\sf \implies 18 =3(h+1)[/tex]

expand using distributive property of addition [tex]a(b+c)=ab+ac[/tex]:

[tex]\sf \implies 18=3h+3[/tex]

subtract 3 from both sides:

[tex]\sf \implies 3h=15[/tex]

divide both sides by 3:

[tex]\sf \implies h=5[/tex]

To verify:

Half of the base is 3 cm.

If h=5, then the height of the triangle is 6 cm.

Multiplying 3 by 6 is 18.

This matches the given area, so we can verify that h = 5.

Answer:

Below!

Given:

Formula:

[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

Substitute the measures into the formula:

[tex]:\implies 18 \ \text{cm}^{2} = \dfrac{1}{2} \times 6 \times \text{(h} + 1\text{)}[/tex]

SImplify the R.H.S:

[tex]:\implies18 \ \text{cm}^{2} = 3 \times \text{(h} + 1\text{)}[/tex]

Divide both sides by 3:

[tex]:\implies \dfrac{18}{3} = \dfrac{3 \times \text{(h} + 1\text{)}}{3}[/tex]

Simplify both sides:

[tex]:\implies 6 = \text{(h} + 1\text{)}[/tex]

Subtract 1 both sides:

[tex]:\implies 6 - 1 = \text{h} + 1- 1[/tex]

Simplify both sides:

[tex]:\implies 5= \text{h}[/tex]

Reviewing on how to verify our answer:

We can verify our answer by substituting the value of "h" in (h + 1) to determine the height of the triangle. Then we can substitute the height and the base in the "area of triangle" formula (1/2 x Base x Height).

Verifying our answer through mental math:

Thus, the value of "h" is verified through mental math.

[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]

Answer:

2^1/6

Step-by-step explanation:

either find the result of all equations or

times square root(2) by cube root (3) and put it over 1

... 1/6 and put this as the power to the number in the question

The true statement about the bank survey is (e) The bank does not need to use an inference procedure to determine the participant proportion

The population and the sample size are given as:

N = 60

This is so because the bank surveyed all her staff.

Since all the bank staffs participated in the survey, it means that the proportion of the study is 1 or 100%.

So, the bank do not need to determine the proportion that participates

Hence, the true statement is (e)

Read more about surveys at:

https://brainly.com/question/15713806

yes and you also have $1.06 as a remainder.

hope it helps..!!!

Answer:

m = 30w

Step-by-step explanation:

Answer:

The answer that looks the best is m=30w

Step-by-step explanation:

I asked my teacher and he said it was right

the question is not visible lol

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:

3.09 per ft

Step-by-step explanation:

1 yd = 3ft

so 2 yd = 6ft

6ft = 18.54

18.54  /6ft

3.09 per ft

Add the prices together:

1.50 + 0.80 + 0.90 = 3.20

Answer: B. $3.20

Answer:

$  3.20  (Answer B)

Step-by-step explanation:

Add up the three prices given:

 $1.50

    0.80

     0.90

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

  $  3.20  (Answer B)

The z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Suppose we're specified that:

Then the z-statistic for this data is found as:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}}[/tex]

For this case, we've got:

Thus, we get:

[tex]Z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{295 - 310}{20/\sqrt{50}} \approx -5.30[/tex]

Thus, the z-statistic for Brett's data is found to be as given by: Option A: -5.30 (approx).

Learn more about z-statistic here:

https://brainly.com/question/1640298

According to the given data and applying it's formula, the z-statistic is of z = -5.30.

It is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

In this problem, the values of the parameters are given by:

[tex]\overline{x} = 295, \mu = 310, \sigma = 20, n = 50[/tex]

Hence, the z-statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{295 - 310}{\frac{20}{\sqrt{50}}}[/tex]

z = -5.30.

The z-statistic is of z = -5.30.

More can be learned about z-statistic at  https://brainly.com/question/26454209

Answer:

The area of T is equal to sum of area of R and Triangle

Step-by-step explanation:

[tex]area = 12 \times 2[/tex]

Area)= 24

[tex]area = \frac{1}{2} \times 12 \times 15[/tex]

Area= 90

Area of T = 90 PLUS 24

AREA == 114

Cindy's new rent when she includes the renter's insurance will be C. $836.08.

As an insurance policy, renters insurance offers the policyholder insurance coverage over personal belongings, liabilities, and living expenses.

Data and Calculations

Annual insurance premium = $565.00

Monthly insurance premium = $47.08 ($565/12)

Current monthly rent = $789.00

Cindy's new rent with the renters insurance included = $836.08 ($789.00 + $47.08).

Thus, Cindy's new rent when she includes the renter's insurance will be C. $836.08.

To learn more return insurance visit:

https://brainly.com/question/24441770

The other person is correct!

The answer is C: $836.08

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

Have a great day and God bless! :D

Answer:

Step-by-step explanation:

Complementary angles sum to 90 degrees.

< BAF and < BFA

<CDE and < CED.

Supplementary ( sum to 360):

< FBC and <BFE

<BCE and < FEC.

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

Answer:

Step-by-step explanation:

Part A, the system of equation is, presented here as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Part B; The graph of the system of equation is attached

The reason for the above answers is as follows;

Part A

A system of equations are a given number of equations from which a common solution of the system can be found

A linear equation is an algebraic equation in which the maximum exponent of the variables is one and the graph of the equation is a straight line which is of the form y = m·x + c

A maximum value of the exponents of the variable quadratic equation is 2, and the general form of the quadratic equation is y = a·x² + b·x + c, where a, b, and c are real numbers

Therefore, the system of equation that can be created is as follows;

(1) 2·y = 3·x + 2

(2) y = 2·x² - 3·x + 2

Method for solving;

Divide equation (1) by 2, and equate both values of y to find the common solution as follows;

2·y/2 = (3·x + 2)/2 = 1.5·x + 1

∴ y = 1.5·x + 1

Equating both values of y gives;

y = 1.5·x + 1

y = 2·x² - 3·x + 2

Therefore;

1.5·x + 1 = 2·x² - 3·x + 2

2·x² - 3·x - 1.5·x + 2 - 1 = 0

2·x² - 4.5·x + 1 = 0

Using the quadratic formula, we get;

x = (4.5 ± √((-4.5)² - 4×2×1))/(2 × 2)

x = 2, or x = 0.25

From which we get;

y = 1.5 × 2 + 1 = 4, or y = 1.5 × 0.25 + 1 = 1.375

The points where the line graph and the quadratic graph intersect are;

(2, 4), and (0.25, 1.375)

Part 2

Answer:

It is B.

Step-by-step explanation:

explanation is in the pic.

Answer:

I am unsure of the wording of this question, so I will answer both ways I see it.

When x = x + 3, the value of 2x³ + x² - x is 2x³ + 19x² + 59x + 66.

When x = 3, the value of 2x³ + x² - x is 60.

Step-by-step explanation:

x = x + 3 solution:

It is given that:
f(x) = 2x³ + x² - x

We are trying to find this when x = x+3. Substitute this value in for every x in the function.

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

Expand the first part.

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

Multiply pairs together.

f(x + 3) = 2(x + 3)(x² + 6x + 9) + (x + 3)² - (x + 3)

Multiply the remaining pairs together.

f(x + 3) = 2(x³ + 9x² + 27x + 27) + (x + 3)² - (x + 3)

Distribute the two inside the parenthesis.

f(x + 3) = 2x³ + 18x² + 54x + 54 + (x + 3)² - (x + 3)

Evaluate (x + 3)².

f(x + 3) = 2x³ + 18x² + 54x + 54 + (x² + 6x + 9) - (x + 3)

Remove all parenthesis and start simplifying.

f(x + 3) = 2x³ + 18x² + 54x + 54 + x² + 6x + 9 - x - 3

Combine all terms ending in x².

f(x + 3) = 2x³ + (18x² + x²) + 54x + 54 + 6x + 9 - x - 3

f(x + 3) = 2x³ + 19x² + 54x + 54 + 6x + 9 - x - 3

Combine all terms ending in x.

f(x + 3) = 2x³ + 19x² + (54x + 6x - x) + 54 + 9 - 3

f(x + 3) = 2x³ + 19x² + 59x + 54 + 9 - 3

Last, combine the final numbers to get:

f(x + 3) = 2x³ + 19x² + 59x + 60

x = 3 solution:

It is given that:
f(x) = 2x³ + x² - x

Substitute 3 in for every value of the function.

f(3) = 2(3)³ + (3)² - 3

Evaluate 3 cubed and then multiply it by 2.

f(3) = 2(27) + 3² - 3

f(3) = 54 + 3² - 3

Evalute 3 squared.

f(3) = 54 + 9 - 3

Add 54 and 9.

f(3) = 63 - 3

Subtract 3 from 63 to get:

f(3) = 60

P=80º

Start by doing 180-20 since N=20

M and P are congruent, so P = 160/2

P=80