Answer:
3.091
=
22
Step-by-step explanation:
log
b
(
x
)
=
y
log
b
(
x
)
=
y
⟹
b
y
=
x
b
y
=
x
, to convert from the logarithmic form to the exponential form.
We have 2 equations here ( b = cost of bush and t = cost of a tree)
10b + 4t = 246........................................................(1)
5b + 3t = 147 Multiply this equation by -2:-
-10b - 6t = -294.......................................................(2)
Adding equations (1) and (2) we get:-
0 - 2t = - 48
t = -48/-2 = 24
Plug t = 24 into the first equation:-
10b + 4(24) = 246
10b = 246 - 96 = 150
b = 15
The answer is one bush costs $15 and one tree costs $24.
Multiply both sides by 3
Simplify the numerators
Multiply both sides by 6
Simplify the numerator
Multiply both sides by x
12x - 18 = 15x Subtract 12x from both sides
-18 = 3x Divide both sides by 3
-6 = x Switch the sides to make it easier to read
x = -6
Check your answer by plugging -6 in for the x in the original problem:
Plug in -6 for x
Change
to
so all denominators are the same
Change
to
for easier work
Subtract the numerators (4 - (-1) )
=
So,
x = -6 .
Answer:
independent variable- change or control
dependent- measure
so ...
x can be type of lizard (you can change the lizard's size, type/species, etc)
y can be the mass in grams ( u measure mass)
Answer:
Step-by-step explanation:
To find out the m(slope) of the equation use the formula:
.
Substitute the values:
Combine the values:
Find the value of the fraction:
M is -3.
The equation so far is 
To find the y intercept, substitute one pair of coordinates into the equation and solve for b:
.
We see that b =-17 so the full equation would be:
.
