Answer:

Step-by-step explanation:
Answer:
x=30
Step-by-step explanation:
(3x-10)+(2x-20)=180// 5x-30=180//5x=150//x=30
Answer:
Option C.
Step-by-step explanation:
The given logarithmic equation is
It can be written as
Now, to check whether
is a true solution or not. Substitute
in the LHS of given equation.
Hence,
is a true solution because
.
Therefore, the correct option is C.
Answer: $ 45,444.44
Step-by-step explanation:
Given: Jill budgets 18% of her yearly salary for clothing.
His total clothing bill for the year is $8,180.
Let x= her yearly salary
Then according to the question , we have
18% of x = 8180
Convert 18% into decimal by dividing it by 100 , we get
0.18 x= 8180
Multiply both sides by 100
⇒ 18x = 818000
Divide both sides by 18 , we get
x= 45444.44
Hence, her yearly salary = $ 45,444.44
Answer:
Real values of x where x < -1
Step-by-step explanation:
Above the x-axis, the function is positive.
The function is decreasing when the gradient is negative.
The function has a positive

coefficient, therefore the vertex is a local minimum;
This means the gradients are negative before the vertex and positive after it;
To meet the conditions therefore, the function must be before the vertex and above the x-axis;
This will be anywhere before the x-intercept at x = -1;
Hence it is when x < -1.