The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
<h3>How to determine the rate of change and the initial value</h3>
The equation is given as:
A linear equation is represented as:
Where:
- b represents the initial value
- m represents the rate
By comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
Read more about linear functions at:
brainly.com/question/15602982
Answer:
2:5
Step-by-step explanation:
The ratio of a dimension on Figure B to the corresponding dimension on Figure A is ...
4:10 = 8.6:21.5 = 10:25 = 2:5 or 1:2.5
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In such problems, it isn't clear if the desired answer is the ratio of two integers or if it is 1 : (something). We have expressed it both ways, so you can use the answer that matches your requirement.
The next is 36!!!! If you notice each time, you are adding by two more than what you were adding before. Like, 1+3=4 4+5=9 9+7=16 See?
So, 25+11=36
No cuz u have to be able to divide by 4 i think
Step-by-step explanation:
they're is a neat little trick.
but first of all, "roots" means the 0 solutions of the equation. like
ax² + bx + c = 0
there are 2 solutions for x to make the whole expression equal 0.
these are the "roots".
now to the little trick :
when is a multiplication resulting in 0 ?
when at least one of the factors is 0.
and any quadratic expression can be written as multiplication of 2 factors. like
c(x - a)(x - b) = cx² - cax - cbx + cab
what are the "roots" or 0 points ?
either
c = 0
x - a = 0 | x = a
x - b = 0 | x = b
the leading coefficient = 3.
that means nothing else than c = 3.
root = 1 means (x - 1) is one factor.
root = -5 means (x + 5) is the other factor.
so, we have
3(x - 1)(x + 5) = 3x² + 12x - 15
and the equation is
3x² + 12x - 15 = 0
or
3x² + 12x = 15
