Evaluate log (base 9) 27. Can someone explain this one for me so i could do some tasks on my own?

Answers

Answer 1

Answer: $log_927=log_93^3=3log_93=3log_9\sqrt9=3log_99^(1)/(2)\n\n=(1)/(2)\cdot3log_99=(3)/(2)$

Answer 2

Answer: You would use some properties of the logarithm. First, $log_927=log_(3^2)27=(1)/(2)log_327$ . So, now you have $log_327$ to calculate. It's $log_33^3=3$ , so the final result is $(1)/(2)*3=(3)/(2)$
Hope it helps.

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What adds to 6 and multiplies to 20

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Add 4 which equals to 10 then multiply by 2 then that equals 20!

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

Answers

To find the vertex form of parabola $y=a(x-x_0)^2+y_0$ given in almost standard form $y=ax^2+bx+c,$ were written following steps:

1. Write the function in standard form:

$y=3x^2+18x.$

2. Factor a out of the first two terms:

$y=3(x^2+6x).$

3. Form a perfect square trinomial:

$y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.$

4. Write the trinomial as a binomial squared:

$y=3(x+3)^2-27.$

The vertex is (-3,-27).

Answer: missing value is 3

The function in vertex form is y = 3( x+3)² -9

What is a Function ?

A function is a mathematical statement formed for relating a dependent and in independent variable.

It is given that

f(x) = 18x +3x²

To write it into vertex form

The standard vertex form is given by

y =a(x- h)² +k

y = 18x +3x²

y = 3(x² +6x)

y = 3 (x² + 2.3 x + 9) -9

y = 3( x+3)² -9

Therefore in vertex form the function is y = 3( x+3)² -9

To know more about Function

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Angle R and S are complementary angles If M angle R= (6x-47) and m angle S = (x+4) find m angle S

Answers

Answer:

Step-by-step explanation:

x + 4 + 6x - 47 = 90

7x - 43 = 90

7x = 133

x = 19

S = 19 + 4 = 23

R = 6(19) - 47 = 114 - 47 = 67

Find the slope of a line perpendicular to the line whose equation is 3y + 2x = 6

Answers

$3y + 2x = 6\n \nthe \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n3y=-2x+6 \ \ /:3\n \ny=-(2)/(3)x+(6)/(3)\n \ny=-(2)/(3)x +2 \n \n m = -(2)/(3) \n \n Answer : \ slope \ is \ m = -(2)/(3)$

A square garden is 10 feet long. How much will it cost to install a fence around the garden if the fence costs $1.75 per foot?

Answers

ok we know that the fence is 1.75 per foot and we need 10feet of it so it simple

math 10*1.75

17.50$

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?12 ≤ x + y
12 ≥ x + y
12 ≤ 2x + 3y
12 ≥ 2x + 3y

Answers

The inequality that represents the possible ways Nina can eat 12 or more grams of protein is 12 ≤ 2x + 3y, where x is the number of cheese squares that she eats and y is the number of turkey slices that she eats. In equation, 12 ≤ 2(2) + 3(3) to 12 ≤ 4 + 9 to 12 ≤ 13.

Answer:

The letter answer is c

Step-by-step explanation:

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