Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
Answer:
- 8 3/4
- 2, 3
- 4 1/2, 11 1/4
- 9 3/4, 16 1/4
- Y/B = 2/3
Step-by-step explanation:
<h3>a)</h3>
The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
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To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
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The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
<h3>b)</h3>
The equation is the one we used to find the values on the second line:
Y/B = 2/3
Jackie wants to keep her total work time <em>under </em>20 hours, so we can set up a rough inequality right away:
(work time in hours) < 20
Now, it's going to take here 1/2 = 0.5 hours to finish each necklace, an 1 hour to finish each bracelet, so if she's making x necklaces, it'll take her 0.5x hours to make all of them, and if she's making y bracelets, it'll take her 1y = y hours to finish those. Putting the two together, it'll take her 0.5x + y hours altogether to make the necklaces and bracelets. Putting that together with our first inequality, we get the final inequality
0.5x + y < 20
Answer:
Not a function.
Step-by-step explanation:
It is not a function since it does not pass the vertical line test.
Answer:
12m/s
Step-by-step explanation:
96/8 = 12
