Find the value of y...........​

Find The Value Of Y...........

Answers

Answer 1

Answer:

y=0

Step-by-step explanation:

Find The Value Of Y...........
Answer 2

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Factor out 3^y:

  3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given

  (3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y

  (3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3

Let x = 3^y. Substituting, we have ...

  x^2 +2x -3 = 0

  (x -1)(x +3) = 0

  x = 1  or  x = -3 . . . . . values of x that satisfy this equation

Then the corresponding values of y are ...

  x = 3^y . . . . . . . . . . . . relation of x and y

  log(x) = y·log(3) . . . . . take logs to solve for y

  y = log(x)/log(3) . . . . . divide by the coefficient of y

For x = 1, this is y = log(1)/log(3) = 0

For x = -3, this is y = log(-3)/log(3) . . . . no real solutions

The only real solution is y = 0.

_____

The attachment shows the solution of f(x) = 0, where ...

  [tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]

That solution is x=0. This means the (real) solution to the given equation is y=0.

Find The Value Of Y...........

Related Questions

If 12x = 60, what is the last step to solve for x?

A. multiply 12 to both sides

B. subtract 12 from both sides

C. add 12 to both sides

D. divide 12 from both sides

Answers

Answer:

D. divide 12 from both sides

Step-by-step explanation:

12x = 60,

Divide each side by 12

12x/12 = 60/12

x = 5

We have to find,

The last step to solve for x,

→ 12x = 60

Then use option (D),

D. divide 12 from the both sides,

→ 12x = 60

→ 12x/12 = 60/12

→ x = 5

Hence, option (D) is last step.

For each function below, identify and enter the percent rate of change per unit, t. Round to the nearest tenth of a percent.

Then use the drop-down menus to classify each as exponential growth or decay

Answers

The percentage rate of change of the given functions is given by the

derivative of their natural logarithm.

Responses:

[tex]f(t) = 1.18^t[/tex]

16.6%, exponential growth

[tex]g(t) = 2^{-2 \cdot t}[/tex]

-138.6%, exponential decay

[tex]h(t) = 1.19^{\frac{t}{10} }[/tex]

1.7%, exponential growth

[tex]k(t) = 0.13^t[/tex]

-204%, exponential decay

Which method is used to determine the percentage rate of change?

The percentage rate of change can be presented as follows;

[tex]Percentage \ rate \ of \ change = \mathbf{100 \times \dfrac{d}{dt} ln \left(f(t)\right)}[/tex]

[tex]f(t) = \mathbf{ 1.18^t} \ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.18^t\right) \right) = \mathbf{ 100 \times ln(1.18)} \approx \underline{16.6\%}[/tex], exponential growth

[tex]g(t) = \mathbf{2^{-2 \cdot t} }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(2^{-2 \cdot t}\right) \right) = \mathbf{ 100 \times -2 \times ln(2)} \approx \underline{ -138.6 \%}[/tex] , exponential decay

[tex]h(t) = \mathbf{1.19^{\frac{t}{10} } }\ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(1.19^{\frac{t}{10} }\right) \right) = \mathbf{ 100 \times \dfrac{10 \cdot ln(1.19)}{100}} \approx 1.7 \%[/tex], exponential growth

[tex]k(t) = \mathbf{ 0.13^t} \ gives;[/tex]

[tex]100 \times \dfrac{d}{dt} \left( ln \left(0.13^t }\right) \right) = \mathbf{100 \times ln(0.13)}\approx -204 \%[/tex], exponential decay

Learn more about exponential functions here:

https://brainly.com/question/14325265

Can someone help with 3 and 9

Answers

Answer:

9= 512m/1000m

SIMPLIFY IT

Step-by-step explanation:

A valid argument form is one in which, when you uniformly substitute for the variables, the result is

Answers

Answer:

True

Step-by-step explanation:

This is the case when the result is True. The substituted variables in the argument must equal a conclusion that is also True. For example, if the premises are True, then the conclusion of the valid argument form needs to output a True conclusion as well. This makes the argument valid. Otherwise, the argument would be invalid if two True premises output a conclusion that is equal to False.

Answer qn in attachment​

Answers

Answer:

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Step-by-step explanation:

The given expression to us is ,

[tex]\implies \dfrac{\frac{ 3}{x-1} -4 }{ 2 -\frac{2}{x-1}}[/tex]

Now take the LCM as ( x - 1 ) and Simplify , we have ,

[tex]\implies \dfrac{\frac{ 3 -4(x-1) }{x-1} }{ \frac{2-2(2x-1)}{x-1}}[/tex]

Simplifying further , we get ,

[tex]\implies \dfrac{ -4x+7}{2(x-2) }[/tex]

Hence the second option is correct .

Step-by-step explanation:

[tex] \frac{ \frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1} } \\ = \frac{ \frac{3 - 4(x - 1)}{x - 1} }{ \frac{2(x - 1) - 2}{x - 1} } \\ = \frac{3 - 4x + 4}{2x - 2 - 2} \\ = \frac{7 - 4x}{2x - 4} = \frac{ - 4x - 7}{2(x - 2)} \\ thank \: you[/tex]

[tex]option \: b \\ thank \: you[/tex]

Please answer the question on the screenshot.

Answers

Answer:

less than, less than, greater than (from top to bottom)

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the value of x?



Enter your answer in the box.

Answers

Answer:

solution

Step-by-step explanation:

ADC = Sum of triangle

AD+ AC = 2.25+3 =5.25

Step 2:

BCD = Sum of acute angled triangle = a+b+

c

BCD= 2.25+4+3

BCD = 9.25

The value of x =ADC+BCD

= 5.25+ 9.25

= 14.5

Answer is 2.75
Using the rule of Pitágoras saying that the hyp=square root of a(squared)+b(squared)
It’s gonna be 5 and then you just subtract it from 2.25 and that is the answer of x

If you flip a penny, toss a 1–6 number cube, and flip a quarter, how many outcomes are possible?

Answers

Answer:

6x 2 = 12

Step-by-step explanation:

Answer:

24

EXPLANATION:

there's 4 different outcomes for the Penny and Quarter combos

- P Heads and Q Heads

- P Tails and Q Heads

- P Heads and Q Tails

- P Tails and Q Tails

Each of those outcomes will have one of six numbers so I just figured

6 outcomes for number cube × 4 outcomes for P and Q (penny and quarter)

6 × 4 = 24

:)

Can someone help me with this math homework please!

Answers

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

Does every integer have a successor?

Answers

Answer:

Yes every integer has a successor and a predecessor

Step-by-step explanation:

The given equation has been solved in the table. Step Statement 1 1 –7n + 11 = -10 2. -7n + 11 – 11 = -10 – 11 3 -7n = -21 4 = = =21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied.​

Answers

Answer:

In step 2, the subtraction property of equality was applied

In step 4, the division property of equality was applied

Step-by-step explanation:

Find the solution to the system of equations x - y = 3 and x + y = 9.
(6,3). (6,-3)
(-6,3)
(-6, -3)

Answers

Answer:

(6, 3)

Step-by-step explanation:

x - y = 3
x + y = 9

6 - 3 = 3
6 + 3 = 9

A coordinate plane.
A line goes through the point (–4,–2) and has an x-intercept of –1.
Which point also lies on the line?
A (–6,–5)
B (3,2)
C (4,5)
D (5,4)

Answers

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]

So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]

B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]

C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]

D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

rosa brought (d) drawings to an art show, after selling 17 of them, she had 22 left.identify the equation that represents this situation and the correct solution.
A. d-17=22; d=39
B. d+17=22; d=5
C. d+17=22; d=39
D. d-17=22; d=5

Answers

a- because she had 39 drawings and selling 17 of them means subtracting 29-17 to be left with 22

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.

please help I will give brainliest ​

Answers

Answer:

the second one I think it is the second one

Help, please answer this for me

Answers

Answer:

For this problem, we need to add to the price of the phone (50 $) the cost of the data usage (which is 0.20 $ per minute).

If he spends on average 200 minutes, we can calculate what that costs by multiplying the number of minutes by the cost of each one: 200 * 0.2 = $40

And we can now add to the $50 the $40: 50 + 40 = $90

Answer:

$40

Step-by-step explanation:

$.20×200=$40

it's pretty simple

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)​

Answers

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies

What are the solutions to X2 + 8X + 7 = 0?

Answers

Answer:

x = - 7, x = - 1

Step-by-step explanation:

Given

x² + 8x + 7 = 0

Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)

The factors are + 7 and + 1 , since

7 × 1 = 7 and 7 + 1 = 8 , then

(x + 7)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x + 1 = 0 ⇒ x = - 1

Answer:

[tex]x=-1,-7[/tex]

Step-by-step explanation:

[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7

Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex]     Evaluate the exponent and multiply 4ac

[tex]x=-8\frac{\sqrt{36} }{2}[/tex]          Subtract b^2 - 4ac and multiply 2a

[tex]x=-8\frac{\sqrt{6} }{2}[/tex]           Solve for the sqrt root of 35

x = - 8 ± 6/2 =

x = - 8 + 6/2 = -1

x = - 8 - 6/2 = -7

what is the area of this triangle​

Answers

Answer:

son Judy even eat and technology and yyry and then he will get your BMW

ℎ = 6 + 11 − 22

calculation path

Answers

Answer:

[tex]h = 6 + 11 - 22 \\ h = 17 - 22 \\ h = - 5[/tex]

Answer:

-5

Step-by-step explanation:

6+11 = 17↓

17-22 = -5

or

11-22 = -11↓

-11+6 = -5

Find the value of x. Write it as a decimal.

Answers

Answer:

68.5

Step-by-step explanation:

Arc ABE = 360 - 2x

Arc AE = 2x

half the difference between the two arcs is 43

43 = [tex]\frac{1}{2}[/tex] [360 -2x - (2x)]    

A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]0 \to[/tex] Correct

[tex]1 \to[/tex] Defective

Required

The probability that the next is defective

The question is incomplete because the list of bottles that came out is not given.

However, the formula to use is:

[tex]Pr = Num ber\ o f\ d e f e c t i v e \div T o t a l\ b o t t l e s[/tex]

Take for instance, the following outcomes:

[tex]0\ 1\ 0\ 0\ 0\ 1\ 0\ 0\ 1\ 1\ 0\ 0\ 0\ 1[/tex]

We have:

[tex]Total = 14[/tex]

[tex]D e f e ctive = 9[/tex] --- i.e. the number of 0's

So, the probability is:

[tex]Pr = 9 \div 14[/tex]

[tex]Pr = 0.643[/tex]

Answer:

1/20

Step-by-step explanation:

000000000000100000

It is asking the probability of a defective bottle

there is one defective bottle out of 20


Find the sum of integers -72, 237, 84, 72, -184, -37

Answers

Answer:

100

Step-by-step explanation:

add positive numbers. then subtract the negative numbers.

The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial?

Answers

Answer:

x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

Step-by-step explanation:

(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

h(x) = -4x – 7, when x = 3:

Answers

h(3) = -4(3)-7
h(3)= -12-7
h(3)= -19
.•. h(3) = -19

Answer:

h(x) = -4 x –7

h(3) = -4(3) —7

h(3) = –12 –7

h(3) = – 19

M=F+Frt

solve for t...

Answers

Answer:

m=f+Frt

M=f(1+rt)

M\1+rt=F

The graph of y = x4 – 2x2 + 1 is shown.

On a coordinate plane, a curved line has two minimum values at (negative 1, 0) and (1, 0) and one maximum value. Point A is at (negative 0.5, 0.5), point B is at (0, 1), point C is at (1, 0), and point D is at (1.6, 3).

Which point is a relative maximum?

A
B
C
D

Answers

Answer:

B

Step-by-step explanation:

relative maximum

is

the highest point after it comes from infinity

and

the highest point before it goes back to infinity

Is 7 1/5 times 49 7/5 equivalent to 343

Answers

Step-by-step explanation:

7 1/5=36/5

49 7/5=252/5

[tex] \frac{36 \times 252}{5 \times 5} \\ = \frac{9072}{25} \\ = 362.88[/tex]

not equal to 343

Brainliest please~

Soso need help !
Plzzz n where can I find the answers to these pretest ain’t nobody got time for doin tha whole lesson lol thx xoxo

Answers

Same here so I’m going to help you out I’m pretty sure the answer is A all the other answers are not adding up so I’m pretty sure it’s A

find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).
sketch a graph of this conic

Answers

Hello,

The conic is a parabola ,

vertex (-1,3)

focus : (-1,-2)

directrix: y=8

equation: y= - 1/20x²-1/10*x+59/20

solution in picture

The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is          y = -2.

What is a parabola?

A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).

For the given situation,

The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]

The vertex is given by [tex]v(h,k)[/tex]

The focus is given by [tex]f(h,k-p)[/tex]

The equation of directrix is given by [tex]y=k+p[/tex]

The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]

On rearranging the given equation in standard form,

⇒ [tex](x+1)^{2} =-20y+60[/tex]

⇒ [tex](x+1)^{2} -60=-20y[/tex]

Divide by 20 on both sides,

⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]

⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]

On comparing the above equation with the standard form,we get

[tex]p=-5, h=-1, k=3[/tex]

⇒ [tex]k-p=3-(-5)\ =8[/tex]

Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.

Learn more about a parabola here

https://brainly.com/question/7492359

#SPJ2

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