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Galina-37 [17]
3 years ago
12

Log 3(x^2+6x)=log(2x+12)

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
Log 3(x²+6x)=log(2x+12). I assume that 3 is a factor of a log with base 10:

if so, then:
log(3x²+18x)=log(2x+12)

==> 3x²+18x=2x+12==> 3x²+16x-12 = 0
solve this quadratic equation & you will find: x'=2/3 & x"=-6

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T-test Statistics
vitfil [10]

Answer:

976thousand

Step-by-step explanation:

6 0
2 years ago
How to find the x-intercepts of a parabola from the vertex, (-1,-108) and the y intercept (0,-105)?
Ulleksa [173]

Answer:

* The x-intercepts are -7 and 5

Step-by-step explanation:

* At first lets revise the standard and general forms of the

 quadratic function which represented graphically by the parabola

- f(x) = a(x - h)² + k ⇒ standard form

- Where point (h , k) is the vertex of the parabola

- f(x) = ax² + bx + c ⇒ general form

- Where a, b, c are constant

- c is the y-intercept ⇒ means x = 0

- h = -b/2a

- k = f(h)

* Lets solve the problem

- We will find the equation of the parabola

∵ The vertex is (-1 , -108)

∴ h = -1 and k = -108

∵ y-intercept = -105

- Equate the two forms

∵ ax² + bx + c = a(x - h)² + k ⇒ solve the (   )²

∴ ax² + bx + c = a(x² - 2hx + h²) + k ⇒ open the bracket

∴ ax² + bx + c = ax² - 2ahx + ah² + k ⇒ by comparing the two sides

∴ c = ah² + k

- Substitute the value of c , h , k in it

∴ -105 = a(-1)² + -108

∴ -105 = a - 108 ⇒ add 108 to the both sides

∴ 3 = a

- Lets write the equation in the standard form

∴ y = 3(x - -1)² + -108

∴ y = 3(x + 1)² - 108

* To find the x-intercepts means the parabola intersects the x-axis,

  then put y = 0

∴ 3(x + 1)² - 108 = 0 ⇒ Add 108 to the both sides

∴ 3(x + 1)² = 108 ⇒ divide the both sides by 3

∴ (x + 1)² = 36 ⇒ take square root for both sides

∴ (x + 1) = ± 6

# x + 1 = 6  OR x + 1 = -6

∵ x + 1 = 6 ⇒ subtract 1 from both sides

∴ x = 5

∵ x + 1 = -6 ⇒ subtract 1 from both sides

∴ x = -7

* The x-intercepts are -7 and 5

∴

3 0
2 years ago
Given the function f(x)=2x-1<br> Evaluate: <br>a) 2f(x) <br> b) f(2x)​
Dmitrij [34]

Answer:

a) 2f(x) = 4x - 2

b) f(2x) = 4x - 1

Explanation:

Given function:

  • f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

       = 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

       = 4x - 1

3 0
1 year ago
A survey of 30 students in line during registration revealed that 5 were Math majors,
Andreyy89

Answer:

23.333 percent

Step-by-step explanation:

7/30 of the students are undecided.

4 0
2 years ago
What is the simplest form of the ratio 11 : 16? A. 1 : 6 B. 5 : 8 C. 11 : 16 D. 22 : 32
Volgvan

Answer:

c

Step-by-step explanation:

c because 11 and 16 have no GCF other than 1

4 0
2 years ago
Read 2 more answers
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