Yes, f(x) = 16 - 7x is a linear function because there are no exponents and the rate of change (which is the slope) only adds or subtracts a certain number each time.
So,
We can re-write these statements in mathematical form.
Let h represent Holly and j represent Julia.
First equation:
Second equation:
This is our System of Simultaneous Linear Equations.
I'll solve.
Substitute
Collect Like Terms
Subtract 35 from both sides
Multiply both sides by
j = 48
Substitute 48 for j in the first equation
h + 48 = 107
Subtract 48 from both sides
h = 59
Check
59 + 48 = 107
107 = 107 This checks.
59 = 35 +
59 = 35 + 24
59 = 59 This also checks.
Holly scored 59 points and Julia scored 48 points.
Answer:
q(5,-8) s(-1,3)
Step-by-step explanation:
you just have to add a negative to the y-axis point, if you reflect across the x-axis
Answer:
x = 17.6
Step-by-step explanation:
use sine
⇒ sine =
⇒ sine 62 =
sine of 62 is 0.88
⇒ 0.88 =
multiply 20 on both sides
⇒ 0.88 x 20 = x 20
⇒ 17.6 = x