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Veronika [31]
3 years ago
7

Use the zero product property to find the solutions to the equation x^2-13x+30=0

Mathematics
2 answers:
Daniel [21]3 years ago
8 0

We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10

The answers are x1 = 3 and x2 = 10.
Crazy boy [7]3 years ago
6 0

Answer: x=3 or x=10

Step-by-step explanation:

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Answer:

B

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think of the ratios as equivalent fractions. 2 over 14 is NOT equal to 3 over 42.

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3 years ago
Maria is training to be a long distance runner. She runs once every day. On the average, each day that Maria has run, she has im
Sav [38]

Answer:

9 mins and 8 secs

Step-by-step explanation:

7 0
3 years ago
4. Answer the question below using complete sentences. * Rae made a table of x and y values. The relationship between the x and
Elden [556K]

Answer:

  • Any of x = {-3, 5, -1, 0}

Step-by-step explanation:

Since the relationship in the table is not a function, Rae could put any values for x that is already in the table.

  • x = -3, 5, -1, 0

This will result in repeat of x-values with different corresponding y-values.

4 0
3 years ago
Suppose that a colony of bacteria starts with 1 bacterium and doubles in number every half hour. how many bacteria will the colo
OverLord2011 [107]
Let a_n represent the number of bacteria after \frac{n}{2} hours.

so

a_0 is the number of bacteria after 0/2 = 0 hours

a_1 is the number of bacteria after 1/2 hours

a_2 is the number of bacteria after 2/2 = 1 hours and so on


so if we list a few terms of this sequence, we have:

a_0=1

a_1=1*2

a_2=1*2*2

a_3=1*2*2*2

a_4=1*2*2*2*2


so clearly, a_n, the number of bacteria after \frac{n}{2} hours, is equal to 2^{n}.
 

 a_4_8 is the number of bacteria after
 
\frac{n}{2}=\frac{48}{2}= 24 hours.

Thus, we calculate  a_4_8, which is 2^{48}.


Answer: the number of bacteria after 24 hours is 2^{48}.

3 0
3 years ago
DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 mile
klemol [59]
The first thing we must know is the following definition:
  d = v * t
  Where,
  d: distance
  v: speed
  t: time
  Therefore, the total distance traveled in this case is:
  (5.5) * (0.5) + (1.5) * p = 13.25
  Rewriting:
  2.75 + 1.5p = 13.25
   Clearing the value of p we have:
  p = (13.25-2.75) / (1.5)
  p = 7
   Answer:
  an equation representing this situation is: 
  2.75 + 1.5p = 13.25 
  DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour


8 0
3 years ago
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