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harina [27]
2 years ago
5

What equals 5 in multiplication and -4 in addition

Mathematics
1 answer:
kirill [66]2 years ago
4 0

Answer:

  • -2 +i
  • -2 -i

Step-by-step explanation:

There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.

__

If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...

  (x -a)(x -b) = 0

Expanding that, we find an opportunity to use the given sum and product numbers:

  x² -(a+b)x +ab = 0

  x² -(-4)x +5 = 0

Rewriting this in vertex form gives ...

  (x² +4x +4) +1 = 0

  (x +2)² +1 = 0

We can find the values of x by subtracting 1 and taking the square root.

  (x +2)² = -1

  x +2 = ±√(-1) = ±i

  x = -2±i

The two numbers of interest are -2+i and -2-i.

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Bernice sells 135 seashells by the seashore every day. She sells each sea shell for 3 dollars. For how many days does Bernice ne
slavikrds [6]

Answer:

Bernice would need 6 days assuming that everything remains constant to make $2430.

Step-by-step explanation:

Assuming she sells every single seashell every day.

First, find the total amount she makes per day by multiply the amount she sells them for ($3) with the total amount of sea shells she sells each day ($135):

135 x 3 = $405

Bernice makes $405 each day.

Now, to solve for the amount of days, divide the total amount she wants to make ($2430) with the amount she makes per day ($405):

2430/405 = 6

Bernice would need 6 days assuming that everything remains constant to make $2430.

~

5 0
3 years ago
A synthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard
Sedaia [141]

Answer:

The standard deviation reduces when sample size (n) increases

Step-by-step explanation:

From the above information given, we have that mean = 75.5

Standard deviation = 3.5

But Standard deviation = √summation (x-u)/n

This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.

7 0
3 years ago
What is the reciprocal of 4/9​
Scrat [10]

Answer:

9/4

Step-by-step explanation:

Take the fraction and flip it

4/9

The reciprocal is 9/4

3 0
3 years ago
Read 2 more answers
Find an equation for the graph
Elanso [62]

Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: y=b^x

Our equation: y=6^x

Add alterations:

  1. Reflections = N/A
  2. Vertical & horizontal shifts = down 4
  3. Vertical & horizontal stretches = left approx 0.612

Final equation: y=6^x+0.612 - 4


6 0
2 years ago
A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?
melisa1 [442]
824 cm perimeter. 100% sure now
3 0
3 years ago
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