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kompoz [17]
3 years ago
13

Solve the exponential equation: 4x – 2 = 2x

Mathematics
1 answer:
Tems11 [23]3 years ago
6 0

Answer:

x=1

Step-by-step explanation:

You might be interested in
Solve √(3x+7)+2√(x-8)=0.
laiz [17]

Answer:

The solution to this question is 39

Step-by-step explanation:

Given that :

√(3x+7)+2√(x-8)=0.    

√(3x+7)=-2√(x-8)           (i)

square of the equation (i)

Then

(√(3x+7))^2=(-2√(x-8))^2

we know that √a*√a=(√a)^2=a So,

(3x+7)=4(x-8)      

3x+7=4x-32        //multiply by 4

32+7=4x-3x  exchange the value.

39=1x

x=39.

4 0
3 years ago
If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?
IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

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

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0
3 years ago
Rewrite the function in standard form.<br> f(x)= 3(x + 5)2 - 7
Anna007 [38]
Answer: F= 29
Explanation: first use distributive property and multiplied by three with the parentheses. And then multiply to by what you just solved. Remember to keep writing everything that we haven’t used yet. Then divide both the left side and the 6X by X. Then subtract 30 by 7. And add six. I hope this helped
3 0
2 years ago
The slope-intercept form of the equation of a line that passes through point (-2,-13) is y=5x-3. What is the point-slope form of
marissa [1.9K]

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

<h3>Point - slope form of equation: </h3>

        \sf \boxed{\bf y - y_1=m(x-x_1)}

Slope intercept of the line : y =5x - 3

Comparing with y = mx +b , m =slope = 5

m = 5 and Point (-2 ,-13)

     y - [-13] = 5(x - [-2])

     y + 13 = 5(x + 2)

   

4 0
2 years ago
HELP ASAP PLEASE!!!
sasho [114]
Y=x^3+5
y^-1=....
example >>a=x^3+5
a-5=x^3
3√a-5=x
y^-1=3√x-5
3 0
3 years ago
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