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2 years ago

25pts for correct answer with explanation Find the value of x when 2(x - 3) + 1 = 3x + 4

Mathematics

1 answer:

trapecia [35]2 years ago

3 0

The answer is A) -1.

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Solve the following equations. √3 ⋅ 3^3x = 9

GREYUIT [131]

Answer:

The solution is $x = 0.5$

Step-by-step explanation:

We need to write everything as a power of 3.

We know that:

$\sqrt{a} = a^{0.5}$

$\sqrt{3} = 3^{0.5}$

And

$9 = 3^{2}$

This following property is also important:

$\frac{a^{b}}{a^{c}} = a^{b-c}$

To solve, the first step is putting everything with the variable x on one side and everything without the variable x on the other side

$\sqrt{3}.3^{3x} = 9$

$3^{0.5}.3^{3x} = 3^{2}$

$3^{3x} = \frac{3^{2}}{3^{0.5}}$

$3^{3x} = 3^{2-0.5}$

$3^{3x} = 3^{1.5}$

This means that:

$3x = 1.5$

$x = \frac{1.5}{3}$

$x = 0.5$

5 0

2 years ago

Solve 6n + 10 < 4n + 16

BartSMP [9]

Answer:

n < 3

Step-by-step explanation:

6n + 10 < 4n + 16

( Minus 4n from both sides to isolate + 16 )

2n + 10 < 16

( Minus 10 from both sides to isolate 2n )

2n < 6

( Divide both sides by 2 to isolate n )

n < 3

3 0

3 years ago

Read 2 more answers

Solve the equation 4^3x+2=3

const2013 [10]

Answer:

Exact Form:

x = 1/64

Decimal Form:

x = 0.015625

Step-by-step explanation:

4 0

2 years ago

it was debbies job to make the popcorn at the school fair she poped corn for 8 hours debbie ended up with 2 160 bags of corn how

son4ous [18]

She popped 270 bags an hour

7 0

2 years ago

Read 2 more answers

P, Q and R are points in the same

Anna11 [10]

Answer: 119°

Step-by-step explanation:

From the positive y-axis, all angles are measured clockwise

PR = PQ + QR = 5[150°] + 3[60°]

X = 5*sin150 + 3*sin60 = 5.1

Y = 5*Cos150 + 3*Cos60 = -2.83

TanA = X/Y

A = -61° = 61° East of South = 119° Clockwise

Therefore, the bearing of R from P is 119°

6 0

1 year ago