Answer:
y +2 = 2(x +3)
Step-by-step explanation:
The equation in point-slope form for a line with slope m through point (h, k) is ...
y -k = m(x -h)
The slope of your given line is the coefficient of x, -1/2. The slope of a perpendicular line will be the negative reciprocal of that: -1/(-1/2) = 2. So, you have m = 2, (h, k) = (-3, -2), and your desired equation is ...
y -(-2) = 2(x -(-3)) . . . . . . which can be simplified to ...
y +2 = 2(x +3)
Answer:
See attached
Step-by-step explanation:
Given function:
Table and graph are attached
Zeros are included in the graph
<u>Zero's are obtained:</u>
x = 0 ⇒ y = 8
y = 0 ⇒ Solving quadratic equation
So zeros are (0, 8), (3.608, 0) and (-1.108, 0)
Answer:
Cost of the hand towels is $2 and cost of the bath towels is $7 .
Step-by-step explanation:
Let us assume that the cost of hand towels be x .
Let us assume that the cost of bath towels be y .
As given
The owner of two hotels is ordering towels.
He bought 38 hand towels and 31 bath towels for his hotel in Arcadia, spending a total of $293.
Than the equation becomes
38x + 31y = 293
As given
He also ordered 45 hand towels and 71 bath towels for his hotel in Middletown, spending $587.
Than the equation becomes
45x + 71y =587
Multiply the equation 45x + 71y =587 by 31 .
45x × 31 + 71y × 31 = 587 × 31
1395x + 2201y = 18197
Multiply 38x + 31y = 293 by 71.
71 × 38x + 71 × 31y = 293 × 71
2698x + 2201y = 20803
Thus two equations are
1395x + 2201y = 18197
2698x + 2201y = 20803
Subtracting 1395x + 2201y = 18197 form 2698x + 2201y = 20803 .
2698x - 1395x + 2201y - 2201y = 20803 - 18197
1303x = 2606
x =$ 2
Putting this x = 2 in the equations
1395 × 2 + 2201y = 18197
2790 + 2201y = 18197
2201y = 15407
y = $7
Therefore the cost of the hand towels is $2 and cost of the bath towels is $7 .