92
given 2a² + 5b²
substitute given values for a and b into the expression
2(- 6)² + 5(2)² = (2 × 36 ) + (5 × 4) = 72 + 20 = 92
Answer:
Choice D is correct answer.
Step-by-step explanation:
We have given two function.
f(x) =2ˣ+5x and g(x) = 3x-5
We have to find the addition of given two function.
(f+g)(x) = ?
The formula to find the addition, we have
(f+g)(x) = f(x) + g(x)
Putting given values in above formula, we have
(f+g)(x) = (2ˣ+5x)+(3x-5)
(f+g)(x) = 2ˣ+5x+3x-5
Adding like terms, we have
(f+g)(x) = 2ˣ+8x-5 which is the answer.
Answer:
The equation for the trend line would be y = -1/100x + 25
Step-by-step explanation:
In order to find the trend line, we first need to find the slope. To do so, we need to find two points on the line. The points we'll use are (0, 25) and (2500, 0). Next, we use the slope formula.
m(slope) = (y2 - y1)/(x2 - x1)
m = (0 - 25)/(2500 - 5)
m = -25/2500
m = -1/100
Now that we have this we can use the slope and the intercept in slope intercept form to model the trend line.
y = mx + b
y = -1/100x + 25
Answer:
Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:
and solving for b we got:
And then we can conclude that she earns 60 for each TV
Step-by-step explanation:
For this case we can set a linear model like this:
Where y is the total amount earned, m the amount for each extended warranty and b the fixed cost and x the total amount of TVs
For this case the value of x = 16 since we have 16 Tvs with extended warranties and we can do this:
and solving for b we got:
And then we can conclude that she earns 60 for each TV
The solutions to system of equations are the point of intersection of the graphs of the equations.
The point of intersection of the graphs of the given equation is (0, 2). Therefore, point (1, 1) is not a solution to the system of equation.
