What is the value of x in the equation ? (image below)
2 answers:
Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS Equality Properties Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
<u>Step 2: Solve for </u><em><u>x</u></em>
Distribute: 15x - 10 = 10 + 6 + 2x Combine like terms: 15x - 10 = 16 + 2x Subtract 2x on both sides: 13x - 10 = 16 Add 10 to both sides: 13x = 26 Divide both sides by 13: x = 2
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
Substitute in <em>x</em>: 2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2)) Multiply: 2.5(12 - 4) = 10 + 4(1.5 + 1) Subtract/Add: 2.5(8) = 10 + 4(2.5) Multiply: 20 = 10 + 10 Add: 20 = 20 Here we see that 20 does indeed equal 20.
∴ x = 2 is a solution of the equation.
Answer: 2
Step-by-step explanation:
2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]
15x-10=0+6+2x [Solve]
15x-10=16+2x [Convey the terms]
15x-2x=16+10 [Add up the same terms and calculate]
13x=26 [Divide both parts]
x=2
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Answer:
x=24
Step-by-step explanation:
-5x+12x-8x=-24
Add like terms
12x-13x=-24
-x=-24
divide by 1
x=24
Answer:
Step-by-step explanation:
(-6+12i)-(7-19i)=
-6+12i-7+19i=
-13+31i
(b)
Answer:
5, -5
Step-by-step explanation:
well 5-5 is 0 so that's it
:))))
![\bf \qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\to &40\\ P=\textit{initial amount}\to &2\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{elapsed time}\to &3\\ \end{cases} \\\\\\ 40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r \\\\\\ \sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}](https://tex.z-dn.net/?f=%5Cbf%20%5Cqquad%20%5Ctextit%7BAmount%20for%20Exponential%20Growth%7D%0A%5C%5C%5C%5C%0AA%3DP%281%20%2B%20r%29%5Et%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0AA%3D%5Ctextit%7Baccumulated%20amount%7D%5Cto%20%2640%5C%5C%0AP%3D%5Ctextit%7Binitial%20amount%7D%5Cto%20%262%5C%5C%0Ar%3Drate%5Cto%20r%5C%25%5Cto%20%5Cfrac%7Br%7D%7B100%7D%5C%5C%0At%3D%5Ctextit%7Belapsed%20time%7D%5Cto%20%263%5C%5C%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0A40%3D2%281%2Br%29%5E3%5Cimplies%2020%3D%281%2Br%29%5E3%5Cimplies%20%5Csqrt%5B3%5D%7B20%7D%3D1%2Br%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%5B3%5D%7B20%7D-1%3Dr%5Cimplies%201.7%5Capprox%20r%5Cqquad%20%5Cboxed%7BA%3D2%282.7%29%5Et%7D)
