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Lynna [10]
3 years ago
13

How many solutions does the equation have? 2x + 3 = 4x + 2

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0
Well, solve for x.

Combine like terms by performing the opposite operation of subtracting 4x on both sides of the equation

The 4x's will cross out on the right

4x - 4x = 0x = 0

On the left:

2x - 4x = -2x

Now the equation looks like:

-2x + 3 = 2

Continue to combine like terms by subtracting 3 on both sides of the equation

On the left:

3 - 3 = 0

On the right:

2 - 3 = -1

Equation:

-2x = -1

Isolate x by performing the opposite operation of dividing -2 on both sides of the equation

On the left:

-2x ÷ -2 = 1

On the right:

-1 ÷ -2 = 1/2

x= 1/2

So, there is only one solution: 1/2
pishuonlain [190]3 years ago
7 0
It is linear equation so it has only one solution.
so number of solution depends upon max degree of variable
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If you can walk 5.8 miles in 4.3 hours, how many minutes does it take to walk 0.64 miles? Round to 1 decimal.
Vinil7 [7]

Answer:

About 20 minutes.

8 0
3 years ago
The sum of two consecutive odd integers is 236. What is smaller integers
evablogger [386]
I'll say the first integer is x.  The next consecutive odd number would be x+2.  If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236    
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer.  to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.
6 0
3 years ago
A rectangular prism with a length of 4 and one-fourth units, height of 2 units, and width of 1 unit.
Andreyy89

Answer: The answer is 8 units

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Hello need help with this one to and thanks and have a great day or weekend and be safe
Mandarinka [93]

Answer:

a) It's a quadratic

b) f(x) = A(x-3)(x-7)

c) she is right

Step-by-step explanation:

(0-12)/(3-1) = -6

(-4-0)/(5-3) = -2

Since the slope is not constant, it can't be a linear.

Therefore a quadratic

Since the zeroes are 3 and 7,

Factors are (x - 3) and (x - 7)

f(x) = A(x - 3)(x - 7)

Use any one point besides the x-intercepts to find A

12 = A(1-3)(1-7)

12 = 12A

A = 1

f(x) = (x - 7)(x - 3)

f(x) = x² - 7x - 3x + 21

f(x) = x² - 10x + 21

She is right

7 0
3 years ago
Read 2 more answers
Which expression is equivalent to this expression? x(2x+3) Question 1 options: 2x2+3 2x2+3x 2x2−3x 3x + 3
sleet_krkn [62]

Answer:

2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

In other words:

x\left(2x+3\right)=2x^2+3x

Step-by-step explanation:

Given the expression

x\left(2x+3\right)

solving

x\left(2x+3\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

a=x,\:b=2x,\:c=3

=x\cdot \:2x+x\cdot \:3

=2xx+3x

=2x^2+3x            ∴  2xx=2x^2

Thus,

x\left(2x+3\right)=2x^2+3x

Therefore, 2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

8 0
3 years ago
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