Answer:
Marcela can take up to 13 units.
Step-by-step explanation:
In order to find the number of units that Marcela can take for her college classes, we can set up an inequality and solve for the variable. Since each unit costs $105, we can say that 105u ≤ 1365 where u = the number of units. The number of units multiplied by the cost per unit, must be less than or equal to $1,365. In order to solve for 'u', we can use inverse (opposite) operations and get rid of the coefficient by dividing both sides of the inequality by 105. 1365÷105 = 13. So, the number of units that Marcela can take must be less than or equal to 13 units.
Answer:
y - value of the vertex is 49.
Step-by-step explanation:
Given function is f(x) = -(x - 3)(x + 11)
f(x) = -(x² - 3x + 11x - 33)
= -(x² + 8x - 33)
= -(x² + 8x + 16 - 49)
= -[(x + 4)² - 49]
= -(x + 4)² + 49
Comparing this equation with the vertex form of a quadratic function,
f(x) = -(x - h)² + k
Where (h, k) is the vertex of the function.
Vertex of the parabola is (-4, 49)
Therefore, y-value of the vertex is 49.
Answer:
Volume = 14.333
Step-by-step explanation:
The supplementary angle would be 180 degrees, and the other angle would be 92.2 degrees
By changing the sign of x coordinates the point would be reflected along "y" axis.
Step-by-step explanation:
Let us plot a hypothetical point (x, y) where both x and y are positive integer. Since both the number sets are positive integer, hence the points lie in 1st quadrant.
Now we change the sign of the x coordinates i.e. x=-x
The new coordinates are (-x, y)
since x is negative and y is positive hence this set would lie in 2nd quadrant.
Comparing the above two pointset (x, y) and (-x, y)
We find that 2nd set is the reflection of the 1st set along y axis (“y” remains constant and sign of “x” coordinates change)
Hence if the original point is in 1st quadrant then the after changing the sign points would lie in 2nd quadrant and vice-versa.
Similarly, if both the values of “x” and “y” are negative i.e. points lie in 3rd quadrant, then the points would lie in 4th quadrant after changing and vice-versa
