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pantera1 [17]
3 years ago
9

Please HELP, PLZZZZ, PLZZZZZ

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

1,3,4. For every 10 students there is 1 teacher. Another example would be 50 students to 5 teachers.

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What are the solutions to the equation?<br> 7x^3=28x
11Alexandr11 [23.1K]

7x³ = 28x is our equation. We want its solutions.

When you have x and different powers, set the whole thing equal to zero.

7x³ = 28x

7x³ - 28x = 0

Now notice there's a common x in both terms. Let's factor it out.

x (7x² - 28) = 0

As 7 is a factor of 7 and 28, it too can be factored out.

x (7) (x² - 4) = 0

We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.

x (7) (x - 2) (x + 2) = 0

Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.

x = 0        -----> so x = 0

7 = 0       -----> no solution

x - 2 = 0   ----> so x = 2   after adding 2 to both sides

x + 2 = 0  ---> so = x - 2  after subtracting 2 to both sides


Thus the solutions are x = 0, x = 2, x = -2.

6 0
3 years ago
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt

\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt

= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}

= 330.45 - 109.72

= 220.7333

Answer: 221

3 0
3 years ago
Farmer Jane picked 2,552 strawberries. She shared the strawberries among 9 bins. She wrote an equation to find the total number
Maslowich

Answer:

D.

Step-by-step explanation:

R is remainder and to have equal amounts in each bin she could not put them in one.

3 0
3 years ago
Read 2 more answers
The ratio of police detectives and private detectives on the island is 6 to 5. If a total of 550 detectives of both kinds live o
vekshin1

Answer:

  300

Step-by-step explanation:

The total number of ratio units in 6:5 is 6+5=11, so each of those ratio units must stand for 550/11 = 50 detectives. Then the 6 ratio units of police detectives stand for 6·50 = 300 police detectives.

7 0
4 years ago
Answer and solution plse :)
sergij07 [2.7K]

Answer:

there are 8 prime numbers.

4 0
3 years ago
Read 2 more answers
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