Answer:
v≤-12, and the graph is left 12
Step-by-step explanation:
laura purchased a prepaid phone card for $25 . long distance calls cost 8 cents a minute using this card. laura used her card on
1 answer:
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Answer:
You may or may not need to include the units.
A = 18x - 18
P = 6x + 6
Graph is attached below. (2, 18)
Step-by-step explanation:
Substitute the information we need, "l" and "w", into the formulas.
l is for length, 6cm.
w is for width, (3x - 3)cm.
Use the formula for area of a rectangle.
A = lw
A = (6)(3x-3)cm²
A = (18x - 18)cm² or 18x - 18
Use the formula for perimeter of a rectangle.
P = 2(l + w)
P = 2(6 + (3x - 3))cm
P = 2(3x + 3)cm
P = (6x + 6)cm or 6x + 6
Linear equations are written in the form y = mx + b, so we do not need to factor or further simplify the formulas.
To graph, first turn the "m" value into a fraction form.
8 -> 8/1
6 -> 6/1
You need two points to graph each line.
For each equation, the first point is on the y-axis at the "b" value. Then use the "m" in the equation to count the number of units up (numerator) and to the right (denominator).
The solution is (2,18)
The length of pencil A is 5 cm
<em><u>Solution:</u></em>
Let the length of pencil A be "x"
Let the length of pencil B be "y"
Let the length of pencil C be "z"
<em><u>The total length of pencils A, B and C is 29 cm</u></em>
Therefore,
length of pencil A + length of pencil B + length of pencil C = 29
x + y + z = 29 ------------ eqn 1
<em><u>Pencil A is 11 cm shorter then pencil B</u></em>
x = y - 11 ------- eqn 2
<em><u>Pencil B is twice as long a pencil C</u></em>
y = 2z
------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
<em><u>Substitute y = 16 in eqn 2</u></em>
x = 16 - 11
x = 5
Thus length of pencil A is 5 cm