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IrinaK [193]
3 years ago
7

(x+3)(x2 – 3x + 4) help simplify the expression.​

Mathematics
2 answers:
MissTica3 years ago
5 0

Answer:

(x+3)(x2-3x+4)

x3-3x2+4x+3x2-9x+12=0

x3-3x2+3x2+4x-9x+12=0

x2-5x+12=0

x2-5x=-12

x2÷x-5x÷x=-12

1-5=-12

-4=-12

-4÷-4=-12÷-4

x=3

NNADVOKAT [17]3 years ago
4 0

Answer:

x³-5x+12

Step-by-step explanation:

(x+3)(x²-3x+4)

=x³-3x²+4x+3x²-9x+12

collect like terms

=x³-3x²+3x²+4x-9x+12

=x³-5x+12

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AleksAgata [21]
1) side BD is common

2) angle ABD is equal to angle BDC (alternate angles)

3) angle CBD is equal to angle ADB (alternate angles)
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3 years ago
Find the system of inequalities representing the given situation?
Diano4ka-milaya [45]

<u>The question was written by the student in a comment because the image contains no question at all.</u>

  • <u>Kathy sells candles for $3 and flowers for $5. She plans to sell at least 200 items and likes to earn a minimum of $2500. </u>

Answer:

\left\{\begin{matrix}x + y = 200\\ 3x + 5y = 2500\end{matrix}\right

Step-by-step explanation:

<u>System of equations</u>

Kathy sells candles for $3 and flowers for $5. Let's set the following variables:

x = number of candles Kathy sells

y = number of flowers Kathy sells

She plans to sell 200 items, thus:

x + y = 200

She also likes to earn $2,500. The equation for this condition is:

3x + 5y = 2500

The system of equations is

\left\{\begin{matrix}x + y = 200\\ 3x + 5y = 2500\end{matrix}\right

5 0
3 years ago
Graph the line using a point and a slope. Write the equation of each line. b a line that passes through the point (4, 0) and who
12345 [234]

The line passes through (4,0)

And has a slope of 0.5

Taking another point (x,y) along the line;

Slope = change in y-axis ÷ change in x-axis

0.5 = (y - 0) / (x - 4)

y = 0.5x - 2

8 0
4 years ago
Lines DE and AB intersect at point C.
lakkis [162]

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

3 0
3 years ago
-8/9 - (2 1/3)<br> show all your work
Sauron [17]

Answer:

1 8/9 - 1 2/3 = 2/

9

≅ 0.2222222

Step-by-step explanation:

How do you solve fractions step by step?

Conversion a mixed number 1 8/

9

to a improper fraction: 1 8/9 = 1 8/

9

= 1 · 9 + 8/

9

= 9 + 8/

9

= 17/

9

To find a new numerator:

a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/

9

= 9/

9

b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17

c) Write a previous answer (new numerator 17) over the denominator 9.

One and eight ninths is seventeen ninths

Conversion a mixed number 1 2/

3

to a improper fraction: 1 2/3 = 1 2/

3

= 1 · 3 + 2/

3

= 3 + 2/

3

= 5/

3

To find a new numerator:

a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/

3

= 3/

3

b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5

c) Write a previous answer (new numerator 5) over the denominator 3.

One and two thirds is five thirds

Subtract: 17/

9

- 5/

3

= 17/

9

- 5 · 3/

3 · 3

= 17/

9

- 15/

9

= 17 - 15/

9

= 2/

9

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - seventeen ninths minus five thirds = two ninths

8 0
3 years ago
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