There you go the answer key
Answer:
and
.
Step-by-step explanation:
Let
be the smaller one of the two number.
must be a positive integer. The other number would be
.
The question states that the product of the two numbers is
. In other words:
.
Rearrange this equation and solve for
:
.
The first root of this quadratic equation would be:
.
Similarly, the second root of this quadratic equation would be:
.
Since the question requires that both numbers should be positive,
. Therefore, only
is valid.
Hence, the two numbers would be
and
, which is
.
Answer:
Let's define:
C = number of pandesal with cheese that you sell
U = number of pandesal with ube that you sell.
If you sell these numbers of each, the total profit you get is:
C*8.00 pesos + U*9.00 pesos.
And yo want to get at least 180 pesos, then:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
And you also want to sell two of each, then:
C ≥ 2
U ≥2
So the system of inequalities is:
C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.
C ≥ 2
U ≥2
If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)
4.5(4-x) + 36 = 202 - 2.5(3x + 28)
Distributive property
18 - 4.5x + 36 = 202 - 7.5x - 70
Combine like terms
-4.5x + 54 = -7.5x + 132
Add 7.5x to both sides
3x = 78
Divide both sides by 3
x = 26
Answer:
Parallel lines have no intersection
Step-by-step explanation: