4 years ago

Solve for x: 2 over 3 (x - 2) = 4x. A. negative 2 over 5 B. negative 5 over 2 C. 2 over 5 D. 5

Mathematics

2 answers:

DochEvi [55]4 years ago

7 0

4x=2/3(x - 2)
4x=2/3x - 4/3
4x - 2/3x=4/3
4x - 2/3x=-4/3
10/3x=-4/3
x=-4/3 * 3/10

x=-12/30
x=- 2/5
hope this helps

xeze [42]4 years ago

6 0

2/3(x - 2) = 4x....distribute thru the parenthesis
2/3x - 4/3 = 4x...subtract 2/3x from both sides
-4/3 = 4x - 2/3x
-4/3 = 12/3x - 2/3x
-4/3 = 10/3x
-4/3 * 3/10 = x
-12/30 = x
- 2/5 = x <==

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4x+y=210 and 3x+2y=195

meriva

Subsitution

4x+y=210
minus 4x both sides
y=210-4x
sub 210-4x for y in other equation

3x+2(210-4x)=195
3x+420-8x=195
-5x+420=195
minus 420 both sides
-5x=-225
divide both sides by -5
x=45

sub back

y=210-4x
y=210-4(45)
y=210-180
y=30

x=45
y=30
(x,y)
(45,30)

7 0

3 years ago

Read 2 more answers

Dy/dxif y = 4x3 + 3x2 + 2

DIA [1.3K]

The function is

$\displaystyle{ y=4x^3+3x^2+2$ .

We recall that the derivative of each monomial $ax^b$ is $a\cdot b\cdot x^{b-1}$ , and the derivative of a constant (function) is 0.

According to this:

$\frac{d}{dx}(4x^3+3x^2+2)=4\cdot 3\cdot x^2 + 3\cdot 2\cdot x+0 =12x^2+6x$ .

Answer: $12x^2+6x$