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alukav5142 [94]
2 years ago
12

2(4z−1)=3(z+2) How do you solve this? Plz show step-by-step

Mathematics
2 answers:
avanturin [10]2 years ago
6 0
Open the brackets
8z - 2 =3z +6
Collect like terms
8z - 3z = 6 +2
5z = 8
Divide both sides by 5
Therefore 8/5 is the answer
DiKsa [7]2 years ago
5 0

Answer:

z = 8/5 OR 1 3/5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • 2(4z-1)=3(z+2)
  • 2(4z)+2(-1)=3(z)+3(2)
  • 8z-2=3z+6

Step 2: Subtract 3z from both sides.

  • 8z - 2 - 3z = 3z + 6 - 3x
  • 5x - 2 = 6

Step 3: Add 2 to both sides.

  • 5x - 2 + 2 = 6 + 2
  • 5x = 8

Step 4: Divide both sides by 5.

  • \frac{5x}{5} = \frac{8}{5}
  • x = \frac{8}{5} OR x = 1\frac{3}{5}
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Solve for x.<br> x-2/4 - x+3/3 = -2
exis [7]
The LCD is 12.  Thus, your 

(x-2)/4 - (x+3)/3 = -2 becomes  12((x-2)/4 - (x+3)/3 = -2), or

                                                    3(x-2) - 4(x+3) = -36

Then 3x - 6 - 4x - 12 = -36.  Combining like terms,

 -x = -36 + 18, or -x = -18, or x = 18.  

Check this result by subbing 18 for x in the given equation.

Please note:  You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.

7 0
3 years ago
A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. Th
Whitepunk [10]
To calculate the value of the half life we proceed as follows;
a/2=ae^(-2.360t)
the a(s) will cancel and we shall remain with:
1/2=e^-2.360t
introducing the natural logs we get:
ln (1/2)=ln e^(-2.360t)
ln(1/2)=-2.360t
hence;
t=(ln 0.5)/(-2.360)
t=0.294
the answer is t=0.294
8 0
3 years ago
21. x² +9x - 22<br> Factors of cSum of Factors<br> 7<br> 7<br> ?<br> ?<br> 7<br> 7<br> 9<br> 7
Eduardwww [97]

Answer:

\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}

Step-by-step explanation:

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

x² + 9x - 22

  • a = 1
  • b = 9
  • c = -22

Factors of c (-22):

1 × -22     or     -1 × 22

2 × -11      or     -2 × 11

Sum of factors:

1 + (-22) = -21          or          -1 + 22 = 21

2 + (-11) = -9            or           -2 + 11 = 9

Table:

\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}

Hope this helps!

6 0
2 years ago
F(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, lef
andrey2020 [161]

Answer:

x=-\frac{1}{5}  \:or \: x=2 \:or\: x=-6

Step-by-step explanation:

Given f(x)=(5x+1)(4x-8)(x+6)

The zeros of the polynomial function are the point where the function f(x) equals zero.

f(x)=(5x+1)(4x-8)(x+6)=0

If abc=0, then a=0 or b=0 or c=0

Therefore:

(5x+1)(4x-8)(x+6)=0 \:means\\5x+1=0 \:or \: 4x-8=0 \:or\: x+6=0\\5x=-1 \:or \: 4x=8 \:or\: x=-6\\x=-\frac{1}{5}  \:or \: x=2 \:or\: x=-6

6 0
3 years ago
Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (1, 5).
Lesechka [4]

Answer:

4x-y+1=0

Step-by-step explanation:

here,given equation of a line id

4x-y-2=0.. eqn(i)

equation of any line parallel to line (i) is

4x-y+k=0...eqn(ii)

since, the line(ii) passes through (1,5)[replacing x=1 and y=5 in eqn(ii), we get]

4*1-5+k=0

or, 4-5+k=0

or,-1+k=0

•°•k=1

substituting the value of k=1 in eqn(ii),

4x-y+1=0 is the required equation of the line.

4 0
3 years ago
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