(x)=3log(x−7)+1
There is no y intercept
log (x) does not intercept the y axis. This shifts the function 7 units to the right so the graph will not intercept the y axis
We know that
if sin A=cos B
then
angle A and angle B are complementary angles
so
A+B=90 degrees
in this problem
(x+34)+(2x+20)=90-------> 3x+54=90----> 3x=90-54-----> x=36/3----> x=12°
the answer is
the value of x is 12 degrees
Answer: a) y=0.50x+15
b) The graph of this equation form on a coordinate plane is a line.
c) Slope =0.50 and y-intercept = 15
Step-by-step explanation:
Let x = Number of miles driven by car
Given: The cost of renting a car for a day is $0.50 per mile plus a $15 flat fee.
a) Total cost = 0.50x+15
If y =total cost of renting the car, then y=0.50x+15 (i)
b) Above equation is similar to y= mx+c (ii) [m = slope , xc=y-intercept] which a linear equation .
So the graph of this equation form on a coordinate plane is a line.
c) Comparing (i) and (ii)
m=0.50 , c=15
Slope =0.50 and y-intercept = 15
Answer:
Jiao's total swimming time is 59.73 seconds
Step-by-step explanation:
i) Ava took 31.49 seconds to finish her first lap.
ii) Ava took 30.03 seconds to finish her second lap.
iii) Therefore Ava took 31.49 + 30.03 = 61.49 seconds to complete her two laps.
iv) Jiao finished her two-lap swimming race 1.76 seconds before Ava.
v) Jiao's total swimming time = 61.49 - 1.76 = 59.73 seconds
The highest power is 2.
Explanation:
Because x has a maximum power of 2, there will be 2 answers. if it were 3, there could be up to 3 answers, etc.
While solving this problem, you gather all terms on one side so the equation looks like
x
2
−
81
+
17
=
0
x
2
−
64
=
0
then factor
(
x
−
8
)
(
x
+
8
)
=
0
then, because any number times 0 equals 0, we know that one of the two parts in the parenthesis must be equal to 0, so
x
−
8
=
0
or
x
+
8
=
0
and so the two answers
x
=
8
,
−
8
come to be.