Answer:
3
+ 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} =
3
+ (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18)
<u>We can open the brackets now. One plus and one minus makes a minus. </u>
3
+ (-a³) + 3a² + 12a³ + (-4a²) + 12a + (-6a²) + 6a + (-18) =
3
-a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18
<u>Evaluate like terms.</u>
3
-a³ + 3a² + 12a³ -4a² + 12a -6a² + 6a -18 = 3
+ 11a³ - 7a² + 18a - 18
A relatively large correlation coefficient, such as the 0.87 given here, indicates a direct proportion relationship between two variables. Here, as baby gains weight, smart phone pricing increases. Note that this is NOT a causal relationship.
the answer is x=2 hope this helps :)
Answer:
x = 40
Step-by-step explanation:
Here's a fun fact, all of those angles actually add up to 360 degrees!
How do we know this? Well if you were to draw a small arc between each of the lines, you would see that the arc would end up making a circle. And remember, circles have 360 degrees!
Now we can do some basic algebra. Add up all the angles and set that equal to 360.
(2x) + (x) + (3x + 20) + (2x+20) = 360.
8x + 40 = 360
8x = 320
x = 40
Hope this helped!