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4vir4ik [10]
3 years ago
10

Find the derivative of the function y=x^3-8x^2+21x+1

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0
y=x^3-8x^2+21x+1 \\
y'=3x^2-16x+21
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In 1990, 75% of all high school seniors had jobs. In 2010, 40% of all seniors had jobs. If there were 50 more seniors in 2010 th
Maru [420]

Answer:

There were 333 seniors in 1990

153 seniors had jobs in 2010.

Step-by-step explanation:

Let the number of high school seniors in 1990 = x

75% of x had jobs in 1990

In 2010 there were 50 more seniors. That is, the number of seniors is x+50.

40% of (x+50) had jobs in 2010.

Total number of jobs in both years = 403.

\[0.75 * x + 0.4 * (x + 50) = 403\]

\[0.75 * x + 0.4 * x  + 20 = 403\]

=> \[1.15 * x  = 403 - 20\]

=> \[1.15 * x  = 383\]

=> \[x  = 383/1.15\]

=> \[x  = 333\]

Number of seniors having job in 2010 = 0.4 * (333 + 50) = 0.4 * 383 = 153.2 = 153(approx)

7 0
3 years ago
Recall the equation that modeled the volume of the raised flower bed, y, in terms of the width of the box, y = x3 + 11x2 − 312x.
Julli [10]

Answer:

  x = 17.349

Step-by-step explanation:

The right-most x-intercept is 17.349, where the curve continues upward to the right.

4 0
3 years ago
I need helpppppp asappppp
andrew-mc [135]

Answer:

A. 72cm

Step-by-step explanation:

Figure a is a convex pentagon, a convex pentagon is a pentagon that does not have an internal angle greater than

{180}^{0}

An easier thing to remember is that it does not have an angle pointing inwards like b, none of its angles/edges point toward the shape/inside

3 0
3 years ago
Jasmine wants to eat at 8:00pm her meal takes 65mins to cook what time does she need to put the meal in the oven
densk [106]

Answer:

She needs to put the meal in the oven on or before 6:55pm.

Step-by-step explanation:

It is given that Jasmine wants to eat at 8:00pm.

The time she needs to cook her meal = 65 mins.

To find the time she needs to put the meal in the oven, we have to subtract 65 mins from 8:00pm

65 mins = 1 hour and 5 mins.

So, 1 hour before 8:00pm is 7:00pm.

5 mins before 7:00pm is 6:55pm.

Hence, she needs to put the meal in the oven on or before 6:55pm so that she can't miss 800pm to eat.

5 0
4 years ago
Read 2 more answers
Nicole is going to see a movie and is taking her 3 kids. Each movie ticket costs $14 and there are an assortment of snacks avail
Andrews [41]

Answer:

Four tickets and four snacks comes to a total of $74.00

If she buys x snacks, that cost is 4.50x. so the total for 4 tickets and unknown snacks is 4(14) + 4.5x

Step-by-step explanation:

Nicole + 3 kids is 4 tickets times $14. 4×14=56. Add the snacks. 4×4.50=18. $56+$18=$74

5 0
3 years ago
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