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2 years ago

8

When the expression 3(x²+6-3x) - (2x²-8) + 3(x² + 4x) is simplified, the coefficient

1 answer:

DochEvi [55]2 years ago

5 0

The correct answer is option C which is 3.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be solved as follows:-

E = 3( x² +6 -3x)- ( 2x² - 8 ) +3(x² + 4x )

E = 3x²+18-9x-2x²+8+3x²+12x

E= 4x² +3x+8

We can see the coefficient of x is 3.

Therefore the correct answer is option C which is 3.

To know more about Expression follow

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The 173 workers at a factory together produce 21, 452 items per day. What is the daily rate of items per worker?

mafiozo [28]

Answer:

124 items per worker per day

Step-by-step explanation:

21,452/173=124

6 0

2 years ago

Charlie's garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m,

MAXImum [283]

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

$L= 3W_1$ ---- initial dimension

$W_2 = 6m$ --- new width

$A_2 = 45m^2$ --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

$Area =Length * Width$

$A_2=L * W_2$

Make L the subject

$L = \frac{A_2}{ W_2}$

Substitute values for A and W

$L = \frac{45m^2}{6m}$

$L = \frac{45m}{6}$

$L = 7.5m$ --- this is the length of the garden

Calculate the initial width:

$L= 3W_1$

Make W1 the subject

$W_1 = \frac{1}{3} * L$

$W_1 = \frac{1}{3} * 7.5$

$W_1 = 2.5$

So, the initial area is:

$A_1 = L_1 * W_1$

$A_1 = 2.5 * 7.5$

$A_1 = 18.75$

The percentage change in area is:

$\%A = \frac{A_2 - A_1}{A_1}$

$\%A = \frac{45 - 18.75}{18.75}$

$\%A = \frac{26.25}{18.75}$

$\%A = 1.4$

Express as percentage

$\%A = 1.4*100\%$

$\%A = 140\%$

4 0

3 years ago

Find the sum and express it in simplest form.

aksik [14]

Answer:

4x-2

Step-by-step explanation:

8 0

2 years ago

3. 100x2-36y2 ??<br> ito pa guys pleasedddd!!

uranmaximum [27]

Answer:

4(5x - 3y)(5x + 3y)

Step-by-step explanation:

Assuming you require the expression factored.

Given

100x² - 36y² ← factor out 4 from each term

= 4(25x² - 9y²) ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

25x² - 9y²

= (5x)² - (3y)² ← with a = 5x and b = 3y

= (5x - 3y)(5x + 3y)

Thus

100x² - 36y² = 4(5x - 3y)(5x + 3y) ← in factored form

8 0

2 years ago

Find each measurement indicated round your answers to the nearest tenth. Part 1d. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW

valkas [14]

Answer:

see explanation

Step-by-step explanation:

Using the Sine rule in all 3 questions

(1)

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values , firstly calculating ∠ B

[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]

$\frac{a}{sin78}$ = $\frac{18}{sin53}$ ( cross- multiply )

a sin53° = 18 sin78° ( divide both sides by sin53° )

a = $\frac{18sin78}{sin53}$ ≈ 22.0 ( to the nearest tenth )

(3)

$\frac{c}{sinC}$ = $\frac{a}{sinA}$ , substitute values

$\frac{35}{sinC}$ = $\frac{45}{sin134}$ ( cross- multiply )

45 sinC = 35 sin134° ( divide both sides by 35 )

sinC = $\frac{35sin134}{45}$ , then

∠ C = $sin^{-1}$ ( $\frac{35sin134}{45}$ ) ≈ 34.0° ( to the nearest tenth )

(5)

Calculate the measure of ∠ B

∠ B = 180° - (38 + 92)° = 180° - 130° = 50°

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ , substitute values

$\frac{BC}{sin38}$ = $\frac{10}{sin50}$ ( cross- multiply )

BC sin50° = 10 sin38° ( divide both sides by sin50° )

BC = $\frac{10sin38}{sin50}$ ≈ 8.0 ( to the nearest tenth )

3 0

2 years ago