What is the value of X?
Simplify:
8x - 10 - 4x = - 12(12x - 20)
Simplify both sides:
8x - 10 - 4x = - 12(12x -20)
8x + - 10 + - 4x = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x + - 10 + - 4x = 144x 240
(8x + - 4x) + ( -10) = - 144x + 240 (Combine Like Terms:)
4x + - 10 = - 144x + 240
4x - 10 = - 144x + 240
Add - 144x to both sides:
4x - 10 + 144x = - 144x + 240 + 144x
148x - 10 = 240
Add 10 to both sides:
148x - 10 + 10 = 240 + 10
148x = 250
Divide both sides by 148
148x/148 = 250/148
x = 125/74
Answer: x = 125/74 (Decimal: 1.689189)
Hope that helps!!!!
2 significant digits should be represented in the product
1. x= 3/Y as a fraction btw
2. Same thing
Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.
We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.
Upon equating equation (1) and equation (2), we will get:
Upon substituting in equation (1), we will get:
Therefore, Mai lives 384 miles away from the mountains.
Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
2
,
4
)
Focus:
(
2
,
15
/4
)
Axis of Symmetry:
x
=
2
Directrix:
y
=
17
/4
x y
0 0
1 3
2 4
3 3
4 0
To find the x-intercept, substitute in
0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): (
0
,
0
)
,
(
−
4
,
0
)
y-intercept(s): (
0
,
0
)
Step-by-step explanation:
