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Marianna [84]
3 years ago
13

What is the solution to the equation 2(3)x = 3x + 1?

Mathematics
2 answers:
boyakko [2]3 years ago
5 0
The answer to the question is X=1/3
Ivahew [28]3 years ago
4 0

Answer:

6x = 3x+1

3x=1

x = 1/3

Step-by-step explanation:

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Form quadratic functions given the following information:
nignag [31]

Answer:

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

or

f(x)=-\frac{4}{7}(x^2-6x+7)

Step-by-step explanation:

we have

f(3+√2 )=f(3− √2 )=0

so

x1=3+√2 and x2=3−√2 are the roots or x-intercepts of the quadratic equation

The quadratic equation in factored form is equal to

f(x)=a(x-x1)(x-x2)

substitute

f(x)=a(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Find the value of the coefficient a

Remember that

f(1)=−8

so

For x=-1 -----> f(x)=-8

substitute

-8=a(-1-(3+\sqrt{2}))(-1-(3-\sqrt{2}))

solve for a

-8=a(-4-\sqrt{2}))(-4+\sqrt{2}))

apply difference of squares

-8=a(14)

a=-\frac{4}{7}

therefore

f(x)=-\frac{4}{7}(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

f(x)=-\frac{4}{7}(x-\sqrt{2}-3)(x+\sqrt{2}-3)

simplify

Applying distributive property

f(x)=-\frac{4}{7}(x^2+\sqrt{2}x-3x-\sqrt{2}x-2+3\sqrt{2}-3x-3\sqrt{2}+9)

f(x)=-\frac{4}{7}(x^2-6x+7)

5 0
4 years ago
solve the inequality below. Use the drop-down menus to describe the solution and its graph -7x+13>41
3241004551 [841]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

-7x + 13 > 41

- 13

-7x > 28

/ -7

x < -4

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

7 0
4 years ago
What is the degree of the polynomial given below?
Ivenika [448]

Answer:

it is 3 i am pretty sure

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Sarah is 53 inches tall. Sarah's brother Luke is 4 inches taller than she is.What is Luke's height in feet and inches?
Over [174]
Sarah = 53 inches

Brother = 53 + 4 = 57 inches

-----------------------------------
Convert inches to feet
-----------------------------------
57 ÷ 12 = 4 feet 9 inches

----------------------------------------------------------------------
Answer: 4 ft 9 in
----------------------------------------------------------------------
6 0
3 years ago
Which is a solution to (x-3)(x 9)=-27
dezoksy [38]
Distribute
(x-3)(x+9)=-27
x^2+6x-27=-27
add 27 to both sides
x^2+6x=0
factor out x
x(x+6)=0
set each to zero
x=0
x+6=0
x=-6

x=0 and or -6


x=-6 or 0
8 0
3 years ago
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