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olga2289 [7]
2 years ago
8

For the equation, decide if it is always true or never true. 2(x + 3) = 5x + 6 − 3x

Mathematics
1 answer:
SCORPION-xisa [38]2 years ago
3 0

Answer:

always true

Step-by-step explanation:

Given

2(x + 3) = 5x + 6 - 3x ← distribute left side

2x + 6 = 2x + 6

Since both sides are equal then any real value of x is a solution.

Thus the equation is always true

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Multiply the polynomials show steps
Karo-lina-s [1.5K]

Answer:

3a^{4} + 11a³ - 7a² + 18a - 18

Step-by-step explanation:

<u>When multiplying with two brackets, you need to multiply the three terms, (a²), (4a) and (-6) from the first bracket to all the terms in the second brackets, (3a²), (-a) and (3) individually. I have put each multiplied term in a bracket so it is easier.</u>

(a² + 4a - 6) × (3a² - a + 3) =

(a² × <em>3a²</em>) + {a² × <em>(-a)</em>} + (a² × <em>3</em>) + (4a × <em>3a²</em>) + {4a × <em>(-a)</em>} + (4a × <em>3</em>) + {(-6) × <em>a²</em>) + {(-6) × <em>(-a)</em>} + {(-6) × <em>3</em>}

<u>Now we can evaluate the terms in the brackets. </u>

(a² × 3a²) + {a² × (-a)} + (a² × 3) + (4a × 3a²) + {4a × (-a)} + (4a × 3) + {(-6) × a²) + {(-6) × (-a)} + {(-6) × 3} =

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)

<u>We can open the brackets now. One plus and one minus makes a minus. </u>

3a^{4} + (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18

<u>Evaluate like terms.</u>

3a^{4} -a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3a^{4} + 11a³ - 7a² + 18a - 18

5 0
3 years ago
Using data from a study, we find a significant difference in the proportion of fruit flies surviving after 13 days between those
Alchen [17]

Answer:

uns 20 a 25%

Step-by-step explanation:

5 0
3 years ago
Last month you went on three hikes. One hike was 2 3/4 miles long, one was 1 1/2 miles long, and the other was 3 3/8 miles long
solniwko [45]
2 6/8 + 1 4/8 + 3 3/8
2 + 1 + 3 = 6
6/8 + 4/8 + 3/8 = 13/8
So 6 13/8 or 7 5/8
8 0
3 years ago
I need to know the answer to 1,847,304,738 divided by 3
schepotkina [342]

Answer:

615,768,246

Step-by-step explanation:

If u divide 1847304738÷3 you get that.

3 0
3 years ago
Y=-1/2x+1 what is the slope
klio [65]
The slope is -1/2. When it’s in the equation like that, the slope is always the number that has the letter X next to it.
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3 years ago
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