Answer:
Your solution is (-10/7, 92/7)
Step-by-step explanation:
12x + y = -4
y = 2x + 16
To use substitution, we want to plug one variable's equation into the other equation.
We can see that y is already solved for us. Plug y into the first equation.
12x + y = -4
12x + (2x + 16) = -4
Combine like terms.
14x + 16 = -4
Subtract 16 from both sides.
14x = -20
Divide both sides by 14.
x = -20/14
x = -10/7
Now that we know x, we will plug it into one of the other equations.
y = 2x + 16
y = 2(-10/7) + 16
Multiply.
y = -20/7 + 16
Add.
y = -20/7 + 112/7
y = 92/7
Your solution is (-10/7, 92/7)
Hope this helps!
Answer:
Relations B and E do not represent the function.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
If we closely observe relation B, and E i.e.
- B) {(3,4), (4,5), (3,6). (6,7)}
Relation 'B' IS NOT A FUNCTION
Relation B has duplicated or repeated inputs i.e. x = 3 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.
Thus, relation B is NOT a function.
Relation 'E' IS NOT A FUNCTION
Relation E has duplicated or repeated inputs i.e. x = 4 appears twice times. we can not have duplicated inputs as there should be only 1 output for each input.
Thus, relation B is NOT a function.
Therefore, relations B and E do not represent the function.
Answer:
Step-by-step explanation:
<u>Exponential function is:</u>
<u>If we consider the time difference in years as x and the initial population as a, then we get:</u>
<u>Find the value of b:</u>
- b¹⁰ = 675647/617594
- b¹⁰ = 1.09399864636
- b = 1.09399864636^(1/10)
- b = 1.009 (rounded)
<u>The equation we got is:</u>
Here we have y- population after x years since 2010, x - the number of years since 2010 and 1.009 is the population growth rate.
Answer:
24
Step-by-step explanation:
If she did all 3of them today then you subtract a day from each one then it would look like this
5+4+15=24
1=7 3=21 5=35 7=49 13=91 hope this helps :)
