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3 years ago

Solve the equation 4(x – 2) = 3x + 1. Question 15 options: A) 3 B) 8 C) 9 D) 2

Mathematics

1 answer:

telo118 [61]3 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

4(x - 2) = 3x + 1

Step 2: Solve for x

Distribute 4: 4x - 8 = 3x + 1
Subtract 3x on both sides: x - 8 = 1
Add 8 to both sides: x = 9

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(9 - 2) = 3(9) + 1
Parenthesis (add): 4(7) = 3(9) + 1
Multiply: 28 = 27 + 1
Add: 28 = 28

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2 years ago

Sam's taking a pen from his case. He has 1 black ,2 purple ,4 blue, and 3 red pens. If he chooses one without looking, what's th

Mrrafil [7]

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3 years ago

How many and what type of solutions does the equation have?

ella [17]

Answer: C

Step-by-step explanation:

Simplify to 4x^2 + 12x + 5 = 0 so that all the terms are on one side.

Do a part of the quadratic formula to see.

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2 years ago

<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4" id="TexFormula1" title

marta [7]

$0 = - 4.9t {}^{2} + 27t + 2.4$
Convert decimals to fractions

$0 = - \frac{49}{10} t {}^{2} + 27t + \frac{12}{5}$
Multiply both sides by 10

$0 = - 49t {}^{2} + 270t + 24$
Move expression to the left.

$0 + 49t {}^{2} - 270t - 24 = 0$
Remove zero.

$49t {}^{2} - 270t - 24 = 0$ Solve the quadratic equation.

$t = \frac{ - ( - 270) + - \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}$
Remove parenthesis and calculate.

$t = \frac{270 + - \sqrt{72900 + 4704} }{98}$
Add the numbers

$t = \frac{270 + - 77604}{98}$
Separate the solutions

$t = \frac{270 + \sqrt{77604} }{98} \\ t = \frac{270 - \sqrt{77604} }{98}$
The final solution are
$t1 = \frac{270 - \sqrt{77604} }{98} , t2 = \frac{270 + \sqrt{77604} }{98}$

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3 years ago