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valina [46]
3 years ago
14

Is 2 , -5 a solution to this system equation 2x + 5y = -19, 6y - 8x = -54 .? Justify your answer

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0
The easiest way to solve this problem is to put (2, -5) into both equations and see if it satisfies/works for both of them. 2 = x and -5 = y.

So for <span>2x + 5y = -19, 
</span><span>2(2) + 5(-5) = -19
4 - 25 = -19
-21 </span><span>≠ -19.

You can continue and try it out for </span><span>6y - 8x = -54 
6(-5) - 8(2) = -54
-30 - 16 = -54
-46</span> ≠ -54

But since (2, -5) already doesn't work for one equation, it cannot be a solution to the system of equations.
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Rolling a 3 or rolling an odd number on a six sided die. Is it mutually exclusive or non-mutually exclusive? Give one reason.
Cerrena [4.2K]

Answer:

Non-mutually exclusive

Step-by-step explanation:

both events can happen simultaneously... 3 is an odd number, events A and B  have a common outcome.

It would be mutually exclusive if event A was rolling a 4 and event B was rolling an odd number.

7 0
3 years ago
Read 2 more answers
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
BaLLatris [955]

The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.

Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get

{P}_{n} =284\cdot {1.04}^{n}P

n

=284⋅1.04

n

We can find the number of years since 2013 by subtracting.

\displaystyle 2020 - 2013=72020−2013=7

We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.

\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P

7

=284⋅1.04

7

≈374

The student population will be about 374 in 2020.

5 0
2 years ago
Aiko is finding the sum (4 + 5i) + (-3 + 7i). She rewrites the sum as (-3 + 7)i + (4 + 5)i. Which statement explains the
Doss [256]

Answer:

Aiko should not have put both of the 'i' out of the brackets.

Step-by-step explanation:

As only one integer has i with it, it is not possible to take the i out of the bracket.

8 0
3 years ago
Write-6/11 ×3/4<br>please answer quick
m_a_m_a [10]
<span>-6/11 ×3/4
=> -6*3/11*4
=> -18/44
=> -9/22 

Hope it helps !!!</span>
5 0
3 years ago
Let f(x)= - 3x - 1 and g(x)=x2 + 2.<br> Find (fog)(-6).
Leona [35]

Answer:(Fog)(-6)=29

Step-by-step explanation:

(fog)=-3(2x+2)-1

=-6x-6-1

=-6x-7

(fog)(-6)= -6(-6)-7

=36-7

=29

6 0
3 years ago
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