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aniked [119]
3 years ago
10

25 POINTS!!!! PLEASE HELP! What kind of problem is this and how do I solve it? PLEASE HELP ASAP

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

To solve the given quadratic equations, equate to zero, factorise and solve

given

x² - 19x + 48 = 0

Consider the factors of the constant term (+ 48) which sum to give the coefficient of the x- term (- 19)

The required factors are - 3 and - 16, hence

(x - 3)(x - 16) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

x - 16 = 0 ⇒ x = 16

----------------------------------------------------------------

given

x² + 21x - 100 = 0

Consider the factors of the constant term (- 100) which sum to give the coefficient of the x- term (+ 21)

The required factors are + 25 and - 4, hence

(x + 25)(x - 4) = 0

x + 25 = 0 ⇒ x = - 25

x - 4 = 0 ⇒ x = 4


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Artyom0805 [142]
5 x 10^-2 hope this helps!
8 0
2 years ago
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A pharmacist receives a shipment of 21 bottles of a drug and has three of the bottles tested. If five of the 21 bottles are cont
blagie [28]

Answer:

The probability is 0.8722

Step-by-step explanation:

There are 21 bottles

5 of them are contaminated.

there are 21 - 5 = 16 non-contaminated bottles.

So, if we grab a bottle at random, the probability that this bottle is contaminated will be equal to the quotient between the number of contaminated bottles and the total number of bottles, this is:

p = 5/21

Now we want to find the probability that, for 3 tested bottles, that less than two (0 or 1 ) are contaminated.

Let's see each case on its own.

0 bottles:

The probability of getting a non-contaminated bottle in the first try is equal to the quotient between the number of non-contaminated bottles and the total number of bottles, this is:

p₁ = 16/21

For the second bottle is the same, but because one non-contaminated bottle was drawn before, now there are 15 non-contaminated bottles and 20 bottles in total, so now the probability is:

p₂ = 15/20

and similarly, for the third bottle the probability is:

p₃ = 14/19

The joint probability is the product of the individual probabilities, we get:

P = p₁*p₂*p₃ = (16/21)*(15/20)*(14/19) = 0.4211

Now the case that one bottle is contaminated.

Let's assume that the first one is contaminated.

The probability of getting a contaminated bottle in the first draw is equal to the quotient between the number of contaminated bottles and the total number of bottles, so:

p₁ = 5/21

For the second bottle, we want a non-contaminated one, there are 16 non-contaminated bottles and 20 bottles left, so here the probability is:

p₂ = 16/20

and for the third bottle we have the probability:

p₃ = 15/19

The joint probability is:

p = p₁*p₂*p₃ = (5/21)*(16/20)*(15/19)

Also notice that we only looked at the case where the first bottle is contaminated, we also have the case where the second one is contaminated and the case where the third one is  contaminated, so there are 3 permutations, then the probability of having one contaminated bottle is:

Q = 3*p = 3*(5/21)*(16/20)*(15/19) = 0.4511

Then the probability of having less than two contaminated bottles is:

probability = P + Q = 0.4211 + 0.4511 = 0.8722

8 0
2 years ago
What are two numbers that when multiplied equal -2, and also when added equals 1
lara [203]
Two numbers that multiply to -2 could be

-1 and 2

Or

-2 and 1.

Since -1+2=1, -1 and 2 are the numbers you are looking for.

Hope this helps!
4 0
3 years ago
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A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute
Degger [83]
<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

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Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

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Find the number of miles driven by subtracting the odometer readings:

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Divide miles driven by gallons of gas used:

312 / 9 = 34.66 = 35 miles per gallon.

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