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Luba_88 [7]
2 years ago
8

What times what equals 48 and adds to -16 ​

Mathematics
2 answers:
marusya05 [52]2 years ago
7 0

Answer:

x= -4 and y= -12

Step-by-step explanation:

x*y=48

x+y=-16

solve one equation for x

y=-16-x

then plug that y into the other equation

x(-16-x)=48

-16x-x^2=48

multiply by -1

x^2+16x=-48

complete the square

x^2+16x+64=-48+64

(x+8)^2=16

solve for x

x+8=sqrt(16)

x+8=4

x=4-8

x=-4

plug x back into original equation

x+y=-16

-4+y=-16

y=-16+4

y=-12

so your answers are x=-4 and y=-12

Ray Of Light [21]2 years ago
5 0

Answer:

-4 and -12

Step-by-step explanation:

For what times what equals 48:

-4(-12) = 48

-4 - 12 = -16

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3 years ago
What are the coordinates of the centroid of a triangle with vertices J(−4, 2) , K(2, 4) , and L(0, −2) ?
Kryger [21]
Given the coordinates of the three vertices of a triangle ABC, 
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3 0
3 years ago
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Find the value of the variable and BC, if B is between A and C.<br> AB = 5x, BC = 3x-1, AC = 47
schepotkina [342]

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

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Add 1 on both sides:

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Divide 8 on both sides:

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Now that we know what X equals, we can solve BC.

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4 0
2 years ago
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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

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3 years ago
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