(5)^x=(2^3)^x-7
x=3x-21
-2x=-21
10.5
Let
we know that
The y-intercept is the y-coordinate of the point when the value of x is equal to zero
so
the y-coordinate of the point A is the y-intercept
<u>The answer part a) is</u>
The value of y-intercept is 
<u>Part b)</u> Find the slope m
we know that
the value of the slope is equal to
Substitute the values
therefore
<u>the answer Part b) is</u>
The value of the slope is equal to 
<u>The general answer is</u>
The slope is
The value of y-intercept is
Answer:
Volume
=
512
cubic feet
Explanation:
A cube has
6
faces all with equal area.
If the total surface area of the cube is
384
sq.ft.
then each face has an area of
384
÷
6
=
64
sq.ft.
Each face of a cube is a square and if we denote the length of an edge as
E
then the area of a face (in this case
64
sq.ft.) is equal to
E
2
XXX
E
2
=
64
sq.ft.
XXX
→
E
=
8
sq.ft.
The volume of a cube with edges of length
E
is
E
3
In this case
Volume
=
E
3
=
8
3
=
512
sq.ft.
Hope i helped
All we need to do to find the answer is to multiply 1/2 by 7:
1/2 * 7 =
= 7/2 =
= 3 1/2
Answer: The cake recpipe calls for 3 1/2 cups of flour.
I hope it will help you ;)
Answer:
B. negative infinity < x < positive infinity
Step-by-step explanation:
When a question asks for the domain of a function, it is asking for all possible x-values, so we can rule out choice A since there are clearly x-values greater than 1. This graph shows arrows pointing left and downward, indicating that the graph continues past what we can see. This tells us that even though the x-values look like they end at -10 and 2, they continue further, so we can also rule out option C and option D. After these eliminations, we are left with choice B, which is a way of writing "All real numbers," and is the domain for <u>all</u> exponential functions, including this one.
lmk if im incorrect about anything, hope this helps :)
