Tyler applied the change of base formula to a logarithmic expression. The resulting expression is shown below.

StartFraction log one-fourth Over log 12 EndFraction

Which expression could be Tyler’s original expression?
Log Subscript one-fourth Baseline 12
Log Subscript 12 Baseline One-fourth
12 Log one-fourth
One-fourth log 12

Answer:

8.66

Step-by-step explanation:

because when you know the long leg you multiply 3 square root by the long leg in this case 5

Answer:

D. -2x - 8

Step-by-step explanation:

1) Simplify 1/3(6x+15) to 6x+15/3

-6x+15/3 - 3

2) Factor out the common term 3.

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

3) Cancel 3.

-(2x+5)-3

4) Remove parentheses.

-2x-5-3

5) Collect like terms.

-2x+(-5-3)

6) Simplify

-2x-8

Answer:

4/5 or 16/20

Step-by-step explanation:

did my best with the info provided

Answer:

4/5

Step-by-step explanation:

8/10 = 80%  1. / the fraction by 2

4/5 = 80%

Answer:

6 x 25 = 150-40=110

Step-by-step explanation:

It's right I promise you

The value of x in the given quadratic equation is determined as -7 ± 8i.

The solutiion to the linear equation is determined as follows;

x² + 14x + 17 = -96

x² + 14x + 17 + 96 = 0

x² + 14x + 113 = 0

solve the equation using formula method;

a = 1, b = 14, c = 113

[tex]x = \frac{-b \ \ \pm\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{- 14\ \ \pm\sqrt{(14)^2 - 4(1\times 113)} }{2(1)} \\\\x = \frac{- 14\ \ \pm\sqrt{-256} }{2}\\\\x = \frac{- 14\ \ \pm\sqrt{256} \times \sqrt{-1} }{2}\\\\x = \frac{-14 \ \ \pm 16 \times i}{2} \\\\x = -7 \pm 8i[/tex]

Thus, the value of x in the given quadratic equation is determined as -7 ± 8i.

Learn more about quadratic equation here: https://brainly.com/question/1214333

Answer:

-7 ± 8i.

Step-by-step explanation:

I took the test

Answer:

yea im a bosss yea

Step-by-step explanation:skrrt do your work dont cheat

The expression that is equivalent to [3/(x + 1)] ÷ 1/(x + 1)] after simplification is gotten as; 3

We want to simplify the expression;

[3/(x + 1)] ÷ 1/(x + 1)]

This fraction expression will be re-expressed as;

[3/(x + 1)] * (x + 1)/1

x + 1 will cancel out to give us the expression as;

[3/(x + 1)] * (x + 1)/1 = 3

Read more about simplification of fractions at; https://brainly.com/question/6109670

Answer:

Step-by-step explanation:

c

Answer:

1a. x=3 y=3

1b. x=-7 y=-21

1c. x=¼

2a. a(a-2)-b(2+b)

2b. a²(a²-3)+1

Step-by-step explanation:

a .

x + y = 6

+

2x - y = 3

3x = 9

3x/3 = 9/3

x = 3

x + y = 6

y = 6 -x

y = 6 - 3

y = 3

b.

2x - y = 7

+

y = 3x

2x = 3x + 7

2x - 3x = 7

x = -7

y = 3x

y = 3(-7)

y = -21

c.

[tex] {x}^{2} + \frac{1}{16} = \frac{x}{2} [/tex]

[tex] {x}^{2} + \frac{1}{16} - \frac{x}{2} = 0[/tex]

[tex]16( {x}^{2} - \frac{x}{2} + \frac{1}{16} ) = 0[/tex]

[tex]16 {x}^{2} - 8x + 1 = 0[/tex]

[tex](4x - 1)(4x - 1) = 0[/tex]

[tex]x = \frac{1}{4} [/tex]

2.

a.

[tex] {a}^{2} - 2a - 2b - {b}^{2} [/tex]

[tex]a(a - 2) - b(b + 2)[/tex]

Answer: a) (3,0.5) b)(28/13, 47/13)

1)7x+4y=23

8x-10y=19

70x+40y=230

32x-40y=76

102x=306

x=306/102=3

7(3)+4y=23

21+4y=23

4y=2

y=1/2

2)Step-by-step explanation:

11x-6y=2

-8x+5y=3

Multiply the first equation by 5 and the second by 6.

55x-30y=10

-42x+30y=18

Now add both of the new equations

13x=28

x=28/13

Now plug it into the first equation to find y

11(28/13)-6y=2

308/13-6y=2

y=47/13

Answer:

[tex]x=\frac{e^7-3}{7}[/tex]

Step-by-step explanation:

4* ln(7x+3) + 12 = 40

4* ln(7x+3) + 12 - 12 = 40 - 12

4* ln(7x+3) = 28

ln(7x+3) = 28/4

ln(7x+3) = 7

e^7 = (7x + 3)

e^7 - 3 = 7x

[tex]x=\frac{e^7-3}{7}[/tex]

Answer:

1/22

Step-by-step explanation:

Its 1/22 because that is the total probability of your name being drawn for the prize

Answer:

i think its 9 m if im wrong im sry  T_T

Step-by-step explanation:

Answer:

8 home games and 10 away games

Step-by-step explanation:

Total home goals

= 8 +5 +9 +8 = 30

Number of home games

= 30/3.75 = 8

Total away game goals

= 7 + 8 + 4 + 5 = 24

Number of away games

= 24/2.4 = 10

Easy Peasy :) Hope this helped! <3 brainliest please :)

Answer:

10 away games and 8 home games

Step-by-step explanation:

Answer:

Richard

Step-by-step explanation:

40÷4 weeks(28 days)=10

Nestor:45÷5=9

Answer:

S18 = 288

Step-by-step explanation:

find the first and last term.

n = 1

a1 = 2 x 1 - 3

a18 = 2 x 18 - 3

(simplify the expression)

a1 = -1

a18 = 33

(use the formula for the sum of a finite arithmetic series)

                     a1 + a18

S18 = 18 x ---------------------

                           2

(use the substitute) substitute -1 for a1 and 33 for a18

                       -1 + 33

S18 = 18 x ---------------------

                             2

simplify the expression and ur done hope this helped x

ps. wheres my head :)

Answer:

(C) 6+4+10/15+3/15

Step-by-step explanation:

2/3=10/15

1/5=3/15

6+4+13/15

10 13/15

Answer:

30

Step-by-step explanation:

Let x be his speed at the morning, in miles per hour.

Then his speed after lunch was (x+10) mph.

2x + 3(x+10) = 220.

2x + 3x + 50 = 220

Answer: hii

Graph the line using the slope and y-intercept, or two points.

Slope: −3/4

y-intercept: (0,−5)

x   {}   y

0  {}  −5

4  {}  −8

Step-by-step explanation:

Hopefully this helps you

- Matthew

Answer:

50%

Step-by-step explanation:

32 -> 100%

16 -> ?%

=> 16 * 100 / 32 = 50 %

Answer:

Unrational

Step-by-step explanation:

Step 1:  Determine what is rational and unrational

"A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number."

Step 2:  Now determine what our number fits into

Since our decimal isn't a whole number, isn't a fraction, and it is a decimal that continues to either repeat or just continues.  Therefore, our number would fit into the unrational category.  If our number is just 2.67034165508 then it would be a rational number since it ends.  However, since we have the ... at the end that means that it continues and therefore falls into the unrational category.

Answer: Unrational

My personal ranking of the insurances to have are:

This refers to the use of images, charts, graphs, etc to present information in such a way that the data used is easily identifiable.

Hence, we can see that when ranking insurance, health insurance should be higher than others (my opinion of course) because in the case of a medical emergency, treatment and care can be given.

Read more about insurance here:
https://brainly.com/question/25855858

#SPJ1

Answer:

6.4

Step-by-step explanation:

All ways:

Exact form:

32/5

Decimal Form:

6.4

Mixed Number Form:

6 2/5.

CANNOT BE SIMPLIFIED IN ANY WAY

Answer:

6 times

Step-by-step explanation:

Answer:

8 can go into 51 six(6) times

Answer:

I believe the answer is A. 15-(3xy)

Step-by-step explanation:

The expression you are given is 15-(yx3) and option A is 15-(3xy). All they did was flip the values in the parentheses. It doesen't matter what value is first because the negative sign will be distributed to everything in the parentheses.

Hope this helps!!

Mark me brainliest please!