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user100 [1]
3 years ago
14

Solve each equation for the indicated variable. u = -3a - 3 , for a

Mathematics
1 answer:
MAXImum [283]3 years ago
8 0

Answer:

a = \frac{u + 3}{-3}

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

a = \frac{u + 3}{-3}  is your answer.

~

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Miguel sells insurance. He earns a 6% commission on each sale he makes. Miguel has a goal of earning $600 in commissions. Miguel
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The vertex of the graph of y = -4(x + 3)² + 2 is<br> DONE
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A parabola is a mirror-symmetrical planar curve that is nearly U-shaped. The vertex of the parabola will lie at (-3,2).

<h3>What is the Equation of a parabola?</h3>

A parabola is a mirror-symmetrical planar curve that is nearly U-shaped.

y = a(x-h)² + k

where,

(h, k) are the coordinates of the vertex of the parabola in the form (x, y);

a defines how narrower is the parabola, and the "-" or "+" that the parabola will open up or down.

Comparing the given equation with the equation of a parabola, we will get,

y =  a(x -h)² + k

y = -4(x+3)² + 2

Hence, the vertex of the parabola will lie at (-3,2).

Learn more about Parabola:

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The speed that lisa drive was a possibility of 65 mph
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3 years ago
Perry currently has $180 dollars and is spending $6 per day nick has no money but is earning $8 each day after how many days wil
Delvig [45]

Answer:

After 12.86 days Nick and Perry will have the same amount of money

Step-by-step explanation:

Perrie's can be expressed as;

Total amount Perry will have after t days=Initial amount Perry has-Total amount Perry spends

where;

Initial amount that Perry has=$180

Total amount Perry spends=Amount he spends per day×Number of days=(6×t)=6t

Replacing in the expression;

Total amount Perry will have after t days=(180-6t)

Nick's can be expressed as;

Total amount Nick will have after t days=Initial amount Perry has+Total amount Nick earns

where;

Initial amount that Nick has=$0

Total amount Nick earns=Amount he earns per day×Number of days=(8×t)=8t

Replacing in the expression;

Total amount Nick will have after t days=(0-8t)=8t

Equating Total amount Nick will have after t days to Total amount Perry will have after t days;

180-6t=8t

180=(8t+6t)

14t=180

t=(180/14)=12.86 days

After 12.86 days Nick and Perry will have the same amount of money

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