Answer:
slope
point-slope form
correlation
Step-by-step explanation:
If you have a line and you know the coordinates of a point on the line, (x1, y1); and you know the <u>slope</u>, m, you can write the equation of the line in <u>point-slope form</u>, y - y1 = m(x - x1). 2 variable data whose point pattern can be represented best by a line is said to have a linear <u>correlation</u>.
The slope, meaning how steep a line is, is represented by the variable m for linear equations.
y - y1 = m(x - x1) is point-slope form, one type of linear equation to represent a straight line. (There is also standard form and slope-intercept form).
Correlation is the relationship between things, like 2 variable data.
Answer:
$154.20
Step-by-step explanation:
To find a percent of a number, multiply the percent by the number.
20% of $771 =
= 20% * $771
= 0.2 * $771
= $154.20
The increase is $154.20
25q + 10d = 425
q + d = 20
First thing's first, picture 4 quarters. Do you know how much these 4 quarters are worth? Obviously, you'd answer one dollar, but take the time to think about how exactly you came up with this answer.
"Well, it's simple," you might think, "Multiply 0.25 by 4."
Similar to this train of thought, the first equation is formulated by doing exactly that. 'q' represents an unknown number of quarters, and 'd' an unknown number of dimes. We use 25q and 10d, because, well, we're multiplying their value by the number of coins. They're equivalent to 425 because the 20 unknown coins make $4.25 (I converted it to cents to get rid of the pesky decimals, but if you want to keep it as dollars that works too).
Because the equation states that there are 20 coins in total, we know that we can make the equation 'q + d = 20' since there are 20 quarters and dimes in total.
Let me know if you need any further explanation :)
-T.B.
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
