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White raven [17]
3 years ago
15

Explain why you should proform the distributive property in the expression 4x+3(2x+1) before simplifying it any other way. Then

simplify
Mathematics
1 answer:
Anna71 [15]3 years ago
8 0
You use the distributive property to simplify expressions.

4x+3(2x+1)

2 times 2x is 6x
3 times 1 is 3
4x times 2x is 8x
4x times 1 is 4x

total that is 6x+8x+4x+3=18x+3

Hope it helps!
You might be interested in
A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate
sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

x^2 + 1^2 = y^2

Differentiate w.r.t time (t)

2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}

2x\frac{dx}{dt} = 2y\frac{dy}{dt}

Divide both sides by 2

x\frac{dx}{dt} = y\frac{dy}{dt}

From the question, we have that the plan travels are 510mi/h.

This implies that:

\frac{dx}{dt} = 510mi/h

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

y = 2mi

Apply Pythagoras theorem

x^2 + 1^2 = y^2

x^2 + 1^2 = 2^2

x^2 + 1 = 4

x^2 = 4-1

x^2 = 3

x = \sqrt 3

So, the expression becomes:

x\frac{dx}{dt} = y\frac{dy}{dt}

\sqrt 3 * 510 = 2* \frac{dy}{dt}

\frac{\sqrt 3 * 510}{2} =  \frac{dy}{dt}

\sqrt 3 * 255 =  \frac{dy}{dt}

\frac{dy}{dt} = 255\sqrt 3

\frac{dy}{dt} = 255 * 1.7321

\frac{dy}{dt} = 441.655

\frac{dy}{dt} = 442

<em>Hence, the distance is 442 miles</em>

7 0
3 years ago
The mean number of goals scored is 2.5.
LenaWriter [7]

Answer:

2 games.

Step-by-step explanation:

2.5 + 1.8 = 4

4 divided by 2 = 2

5 0
3 years ago
Picking a month of the year in the day of the week (fundamental counting principle)
inysia [295]
Since you mentioned the fundamental counting principle, I assume you are looking for the total number of possibilities.

If you are picking a month, there are 12 options.
If you are selecting a day of the week, there are 7 options.

If you are doing both, you multiply the two numbers together.
12 x 7 = 84
8 0
3 years ago
Someone please help!
USPshnik [31]
Here are the log properties you need:
log(ab) = log(a) +log(b) \\  \\ log(\frac{a}{b}) = log(a) - log(b) \\  \\ log(a^n) = n log(a)
6 0
3 years ago
Evaluate the expression when a=1\4 and b=6. -8ab
tester [92]

Answer:

-12

Step-by-step explanation:

-8 * ( 1/4) * (6)

= -12

4 0
3 years ago
Read 2 more answers
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