Answer:
Step-by-step explanation:
Here you go mate
Step 1
(-4x-3)-(7x-3) =22 Equation
Step 2
(-4x-3)-(7x-3) =22 Simplify
-11x=22
Step 3
-11x=22 Divide
Answer
x=-2
Answer:
Exponentials and logarithms are inverses of each other.
Step-by-step explanation:
Exponentials and logarithms are inverses of each other.
For logarithmic function:
Domain = 
, Range = 
Vertical asymptote is y - axis.
x - intercept is (1,0)
For exponential function:
Domain = , Range =
Horizontal asymptote is x - axis.
y- intercept is (0,1)
Both exponential and logarithmic functions are increasing.
For example:
Solve: 
legs of the triangles
Each triangle 30-60-90 is:
one leg: 15 ft => short diagonal = 2 * 15ft = 30ft
other leg, x:
tan(30) = 15 / x => x = 15 ft / tan(30) = 25.98 ft
=> long diagonal = 2 * 25.98ft = 51.96 ft
side of the rhoumbus = hypotenuse of one triangle
side of the rhombus = √ [ (15)^2 + (25.98)^2 ] = √(900) = 30 ft
Area of the rhombus:
4 * area of one triangle = 4 [base*height/2] = 4*15*25.98/2 = 779.43 ft^2
The shortest distance accross the garden is equal to the side of the rhombus = 30 ft
Since 25% is 1/4, you multiply 60 by 1/4 to get how many students took Spanish class last year. So, 60 times 1/4 is 60/4, which is 15. Then you subtract 15 from 60 to get 45. So, 45 students took Spanish class last year.
