-24 = 14y - 5
First, add 5 to both sides. / Your problem should look like: -24 + 5 = 14y
Second, simplify -24 + 5 to get -19. / Your problem should look like: -19 = 14y
Third, divide both sides by 14. / Your problem should look like:
Fourth, switch sides. / Your problem should look like: y =
Answer as fraction: y =
Answer as decimal: y = -1.3571
Answer:
a = -12
b = 3
Step-by-step explanation:
second term = a + 6b
to find the 5th term, notice the pattern (since this is a linear equation, each term increases by the same amount) and each term increases by 4b: 2b -> 6b -> 10b.
therefore, the 4th term would be a+14b and the 5th would be a+18b
so a + 6b = 8
and a + 18b = 44
u now have two simultaneous equations, which can be solved through substitution or elimination. I'm gonna use elimination because it's quicker in this case:
steps: (since the a would cancel out by subtracting, subtract then solve for b. divide by -12 on both sides to isolate the b)
now that u know the value of b, substitute it into an equation to solve for a:
a + 6b = 8
a + 6(3) = 8
a + 24 = 8
a = 8 - 24
a = -16
hope this helps!
D should be the right answer
Answer:
First option
Step-by-step explanation:
Hi there!
The "constant additive rate of change" means a constant slope.
The slope is .
First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in <em>y</em> is forever the same according to the change in <em>x</em>. Knowing this, the second option is for-sure wrong (it's not a straight line).
Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is . This means that for a line, whenever it travels 4 units to the right, it travels 1 unit <em>down </em>(it travels down whenever the slope is negative and up whenever the slope is positive).
This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).
Therefore, the correct answer would be the first option.
I hope this helps!
Powers of ten, and they're easy to represent as exponents.<span />