Answer:
3
The x-intercept of the graph is -4
Graph B
The last graphing question is kinda hard to read so. It should not be c or d. Look for the graph where the line passes through the y-axis starts 30.
Step-by-step explanation:
First, let's write two expressions, letting x= the number of months which have elapsed:
Bill: 120 + 10x
Phil: 150 + 4x
If we set them equal to each other, then solve for x, that will be the number of months where their weights equal each other:
120+10x = 150 + 4x [starting equation]
-120 -4x -120 -4x [ subtract 120 from both sides, and 4x from both sides, to isolate the term with the variable]
<u>6x</u> = <u>30</u> [divide both sides by 5]
5 5
x=6. They will weigh the same in six months.
Hey user!!!
given the radius of the cylindrical mold is 2 inches and height is 3 inches.
volume of the cylindrical mold = πr²h
= 3.14 × 2 × 2 × 3
= 37.68 in³
radius of the spherical mold is given = 2 inches
volume of the spherical mold = 4/3πr³
= 4/3 × 3.14 × 2 × 2 × 2
= 100.48/3 in³
difference between the amount of wax needed = 37.68/1 - 100.48/3
= ( 113.04 - 100.48 ) / 3
= 12.56/3
= 4.186...
so approximately 4.19 in³
hence, correct option is 4.19 in³
cheers!!!
Answer:
x + 2y = -1
Step-by-step explanation:
First, we'll find the slope.
Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2
Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:
y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use
y = -1/2(x + 5) + 2
y = -1/2x - 1/2
Standard form:
1/2x + y = -1/2
x + 2y = -1
As x increases without bound, f(x) also increases without bound