Answer:
Option D.
Step-by-step explanation:
The given inequality is 
.
To graph this inequality, we need to graph the corresponding linear equation;
The intercepts are 
and 
.
Plot these two points and draw a solid straight line through them.
We then test the inequality with the point (0,0).
.
.
This statement is false.
So we shade the lower half plane to obtain the graph in option D.
Answer:
g(x) is shifted 2 units to the right and reflected over the x-axis.
Step-by-step explanation:
Answer:
The values of x that satisfy the given equation are:
x1 = 1.183 + nπ
x2 = -1.183 + nπ
Step-by-step explanation:
Given tan²x - sin²x/sin²x = 5
Simplifying this, we have
tan²x - 1 = 5
Adding 1 to both sides, we have
tan²x = 6
Because tan²x = (tanx)², we can write as
(tanx)² = 6
Taking square roots of both sides, we have.
tanx = ±√6
x = arctan(±√6) + nπ
≈ 1.183 + nπ or -1.183 + nπ
Answer:
no solution
Step-by-step explanation:
Given
4 + 7x = 7(x + 1) ← distribute
4 + 7x = 7x + 7 ( subtract 4 from both sides )
7x = 7x + 3 ( subtract 7x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
Answer:
$5.625
Step-by-step explanation:
Cost per pound of beef = $1.25 per pound
Number of pounds purchased = 3.5 pounds
Amount given to cashier = $10.00
Amount of change to receive from cashier =?
Amount issued to cashier - total cost of beef
Total cost of beef = (number of pounds * cost per pound)
Total cost of beef = (3.5 * 1.25) = $4.375
$10 - $4.375 = $5.625
