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Natasha2012 [34]
3 years ago
8

4 - t = 3(t-1) - 5 A 3 B 6 C no solution D Identity

Mathematics
1 answer:
Ket [755]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

4 - t = 3(t - 1) - 5 ← distribute and simplify right side

4 - t = 3t - 3 - 5

4 - t = 3t - 8 ( subtract 3t from both sides )

4 - 4t = - 8 ( subtract 4 from both sides )

- 4t = - 12 ( divide both sides by - 4 )

t = 3

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
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6 0
3 years ago
The number of tacks in a 12oz box is normally distributed with a mean of 55 tacks and a standard deviation of 3 tacks. Suppose t
igor_vitrenko [27]
I believe the answer is 408
8 0
3 years ago
Pls answer clearly , just the answer i dont need explenation:) please &lt;3
lawyer [7]

Answer:

option D

Step-by-step explanation:

5 0
2 years ago
One winter morning the temperature was -2 C. By 11:00 am the temperature hd decreased by 3 degrees. At 4:00 pm reached 0 degrees
Temka [501]

Answer:

The temperature rose by 5 degrees celcius between 11 am and 4 pm

Step-by-step explanation:

Here in this question, we want to find the integer which represents the temperature change from 11 am to 4 pm.

Initially, in the morning, the temperature was -2 . By 11, it had decreased by 3 degrees. What this means is that the temperature went down further by 3 degrees.

Mathematically, the temperature at 11 will be -2-3 = -5 degrees celcius

Now at 4 pm, the temperature went from -5 to 0 degrees.

The temperature change between 11 am and 4 pm will be; 0-(-5) = 0 + 5 = 5 degrees celcius

This means that the temperature rose by 5 degrees celcius between 11 am and 4 pm

7 0
3 years ago
In one city, taxi company A charges $5 plus $0.35/km travelled. Taxi company B charges $3.50 plus $0.50/km.
lions [1.4K]

Answer:

If you are asking for the equations, Company A would be 0.35x + 5 and Company B would be 0.50x + 3.50. :)

Step-by-step explanation:

3 0
3 years ago
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