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3 years ago

1) solve each equation for the indicated variable ca=rd , for a

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Answer:

$a = \frac{rd}{c}$

Step-by-step explanation:

ac(÷c)=rd (÷c)

a=rd/c

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Which is the graph of f (x) = 4 (1/2) Superscript x?

miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

$f(x)=4(\frac{1}{2})^x$

Now, the above function is an exponential function of the form $f(x)=ka^x$

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

$f(0)=4(\frac{1}{2})^0=4$

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

$f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2$

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

$f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1$

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

$f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0$

So, as

$x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty$

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

5 0

4 years ago

How to solve 7(4×1/2)+3(5×1/3)+2(-3×1/2

kipiarov [429]

Multiple: 4 * 1 /2 = 4 · 1 = 4 /2 = 2 · 2

1 · 2 1 · 2 = 2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 2) = 2

Multiple: 7 * 2 = 14

Multiple: 5 * 1 /3 = 5 · 1

1 · 3 = 5 /3

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(5, 3) = 1

Multiple: 3 * 5 /3 = 3 · 5

1 · 3 = 15 /3 = 5 · 3

1 · 3 = 5

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(15, 3) = 3

Add: 14 + 5 = 19

Multiple: -3 * 1 /2 = -3 · 1

1 · 2 = -3 /2 = -1.5 · 2

1 · 2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-3, 2) = 2

Multiple: 1/2 * (-3 /2 ) = 2 · (-3)

1 · 2 = -6 /2 = -3 · 2

1 · 2 = -3

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 2) = 2

Add: 19 + (-3) = 16

7(4×1/2) + 3(5×1/3) + 2(-3×1/2) = 16 /1 = 16

6 0

4 years ago

PLEASE HELP I DONT UNDERSTAND!!

slega [8]

Answer:

see explanation

Step-by-step explanation:

3x and 144 are adjacent angles on a straight line and sum to 180°

3x + 144 = 180 ( subtract 144 from both sides )

3x = 36 ← value of 3x

divide both sides by 3

x = 12

and

2y - 5 and 95 are vertically opposite angles and are congruent, so

2y - 5 = 95 ← value of 2y - 5

add 5 to both sides

2y = 100 ( divide both sides by 2 )

y = 50

Then

x + y = 12 + 50 = 62

7 0

2 years ago

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Somebody once told me the world is gonna roll me

nikdorinn [45]

Answer:

same

Step-by-step explanation:

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3 years ago

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Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their total earni

Mkey [24]

Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

If it's wrong, I'm super sorry. But have a nice day❤. Peace out✌

5 0

3 years ago

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