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3 years ago

Solve the following equation by COMBINING LIKE TERMS FIRST: 3x + 3 - x + 4 = 21

Mathematics

1 answer:

bonufazy [111]3 years ago

8 0

3x + 3 - x + 4 = 21

3x - x = 2x

2x +3 +4 = 21

3 + 4 = 7

2x + 7 = 21
-7 -7

2x = 14
--- ----
2 2

x = 7

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PLEASE PLEASE HELP

marta [7]

Answer:

Approximately 3 grams left.

Step-by-step explanation:

We will utilize the standard form of an exponential function, given by:

$f(t)=a(r)^t$

In the case of half-life, our rate r will be 1/2. This is because 1/2 or 50% will be left after t half-lives.

Our initial amount a is 185 grams.

So, by substitution, we have:

$\displaystyle f(t)=185\big(\frac{1}{2}\big)^t$

Where f(t) denotes the amount of grams left after t half-lives.

We want to find the amount left after 6 half-lives. Therefore, t = 6. Then using our function, we acquire:

$\displaystyle f(6)=185\big(\frac{1}{2}\big)^6$

Evaluate:

$\displaystyle f(6)=185\big(\frac{1}{64}\big)\approx2.89\approx 3$

So, after six half-lives, there will be approximately 3 grams left.

3 0

2 years ago

A cereal company's cost, in thousands of dollars, is represented by the function C(x)=2x+4500 and its revenue, in thousands of d

jekas [21]

Given , revenue function : $R(x)= 5x$

Cost function $C(x) = 2x+4500$

Profit = Revenue - Cost

Hence, P = R(x) - C(x)

Total revenue for x = 12000 is $R(12000) = 5(12000) = 60000$

Total cost for x = 12000, $C(12000) = 2(12000)+4500 = 28500$

Profit = 60000-28500 = 31500

Answer = 31500

6 0

2 years ago

Write an equation in slope intercept form that goes through (-1,6) and (3,-2)

pochemuha

<h2>Answer:</h2>

First, we need to use slope formula* to find the slope.

$m = \frac{-2 - 6}{3 - (-1)} = \frac{-8}{4} = -2$

Second, we use the slope we found and ONE of the 2 points listed and plug it into slope-intercept form** to solve for b.

Here is what we have so far:

$m = -2$

I'm going to use this point:

$x = 3$

$y = -2$

Here is how to find b:

$-2 = -2(3) + b\\\\-2 = -6 + b\\\\4 = b$

Finally, we put all of it together and we have our equation.

$y = -2x + b$

*Slope formula: m = y₂ - y₁/x₂ - x₁

**Slope-intercept form: y = mx + b

5 0

2 years ago

In the equation y = 3x - 1, what is the value of y when x equals -3? help!!

belka [17]

y = 3x - 1

when x = -3

y = 3.(-3) - 1

y = -9 - 1

y = -10

4 0

2 years ago

Read 2 more answers

PLEASE HELP! this is due today! Brainlist for right answer!

Lesechka [4]

Answer:

2550.5

Step-by-step explanation:

We have a circle and are asked to find the area.

We know the diameter already, but the formula to find area requires a raidus, which is unknown to us yet.

To find radius, all you need to do is follow $\frac{d}{2}$ . D being diameter.

D = 57.

$\frac{57}{2}= 28.5$

The radius is 28.5, now do the formula of area.

$A = \pi *r^2$

$A = \pi *28.5^2$

$28.5^2$

$812.25$

$A=\pi *812.25$

$A=3.14 * 812.25$

$A = 2550.465$

Now we need to round to the nearest tenths, since 6 is the knowledge that we round up, round up.

$2550.5$

6 0

2 years ago