Answer:
Step-by-step explanation:
To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.
Answer:
x=2
Step by step:
f(x)=g(x)
3x+12= -9.5x-13 simplifies to the equation below
3x+9.5x= -13-12
12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.
12.5x/12 = -25/12
x=-2
to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
Apply to Row 2 : Row 2 + Row 1
2x + 2y + 3z = 0
y + 4z = -3
2x + 3y + 3z = 5
Apply to Row 3: Row 3 - Row 1
2x + 2y + 3z = 0
y + 4z = -3
y = 5
Apply to Row 3: Row 3 - Row 2
2x + 2y + 3z = 0
y + 4z = -3
-4z = 8
Simplify rows
2x + 2y + 3z = 0
y + 4z = -3
z = -2
<em>Note that the matrix is in echelon form now. The next steps are for back substitution.</em>
Apply to Row 2: Row 2 - 4 Row 3
2x + 2y + 3z = 0
y = 5
z = -2
Apply to Row 1: Row 1 - 3 Row 3
2x + 2y = 6
y = 5
z = -2
Apply to Row 1: Row 1 - 2 Row 2
2x = -4
y = 5
z = 2
Simplify the rows
<u>x = -2</u>
<u>y = 5</u>
<u>z = -2</u>
Answer:
The third graph is correct for the inequality 2x + 3y > -3
Step-by-step explanation:
The slope of the graph is –2/3.
The y-intercept is –1
The area above the dashed be line is shaded.
To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.
For example: (1,1)
2(1) + 3(1) > –3
2 + 3 > –3
5 > –3 True.
