Answer:
okiii i got the answers right here i hope this helps!
Step-by-step explanation:
oki so for the first one liner
the second it non liner
third is also non liner
and the lasst one is liner
To convert a percent to a fraction you first convert the percent to a decimal than use the same procedure as converting a decimal to a fraction.
Answer:
=165%
=1.65
=165/100
=33/20
=1 13/20
Answer:
y=-2x+2
Step-by-step explanation:
Given line is-
x-2y=7
we know,
equation of line perpendicular to ax+by=c is bx-ay=k
So, equation of line perpendicular to x-2y=7
is given by -2x-y=k
Now, the line -2x-y=k passes through (5,-8)
So, we get
-2(5)-(-8)=k
or, -10+8=k
or, -2=k
So, k=-2
Using the k value we get,
Equation of the line is-
-2x-y=-2
multiplying by -1
2x+y=2
or, y=-2x+2
This is the slope intercept form of the line.
The question above is incomplete
Complete Question
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg³. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = ab^x, where f(x) represents the bone density after x years?
Answer:
a = 1500
b = 0.97
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
Step-by-step explanation:
We are to find a and b
This question has to do with exponential decay.
This is written as
y = a(1 - r)^x
f(x) = ab^x
r = rate of exponential decay
f(x) = y
a = a
b^x = (1 - r)^x
a = current bone density of the patient = 1500kg/m³
b = (1 - r)
r = 3% = 0.03
b = (1 - 0.03)
b = 0.97
Therefore,
a = 1500
b = 0.97
Hence:
f(x) = ab^x
f(x) = 1500(0.97)^x
f(x) = 1500 × 0.97^x
She could buy 30 packs of 10 and 7 single pencils
