Evaluate -3 x^3 - 4 x for x = -1. 1 7 -1

A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 12%

Hitman42 [59]

Answer:

Amount of vinegar. 100% : 20 milliliters

Amount of Italian dressing: 140 milliliters

Step-by-step explanation:

Let's call A the amount of vinegar. 100%

Let's call B the amount of Italian dressing . 12% vinegar

The resulting mixture should have 23% vinegar, and 160 milliliters.

Then we know that the total amount of mixture will be:

$A + B = 160$

Then the total amount of pure antifreeze in the mixture will be:

$A + 0.12B = 0.23 * 160$

$A + 0.12B = 36.8$

Then we have two equations and two unknowns so we solve the system of equations. Multiply the first equation by -1 and add it to the second equation:

$-A -B = -160$

+

$A + 0.12B = 36.8$

--------------------------------------

$-0.88B = -123.2$

$B = \frac{-123.2}{-0.88}$

$B = 140\ milliliters$

We substitute the value of B into one of the two equations and solve for A.

$A + 140 = 160$

$A = 20\ milliliters$

7 0

3 years ago

F(x)=x^2-x-1 What is the average rate of change of f over the interval -1<=x<=1

nalin [4]

In calculus, we use derivatives to find the instantaneous rate of change at any point on a graph. To find the average rate of change, we just find the slope of the secant line that intercepts two points on the graph.

We find slope with the following equation:

$m = \frac{y_1 - y_2}{x_1-x_2}$

In this case, we are looking for the slope from x = -1 to x = 1. We have both x values, so next we need the y values.

F(-1) = (-1)^2 - (-1) - 1 = 1

F(1) = (1)^2 - (1) - 1 = -1

Now plug in the x and y values to find the slope:

$\frac{1-(-1)}{-1-1} =-1$

The answer is -1.

6 0

3 years ago

At a fast food burrito restaurant, customers ask servers to add particular ingredients to their burrito. One popular ingredient

Gnesinka [82]

25 ounces of guacamole are still expected to be available from batch.

Step-by-step explanation:

Given,

Quantity of guacamole in one serving = 2.2 ounces

Quantity of guacamole in one batch = 80 ounces

Quantity of guacamole in 25 servings = 2.2*25 = 55 ounces

Guacamole left = Quantity in batch - Quantity of 25 servings

Guacamole left = $80-55 = 25\ ounces\\$

25 ounces of guacamole are still expected to be available from batch.

Keywords: multiplication, subtraction

Learn more about subtraction at:

#LearnwithBrainly

5 0

3 years ago

In his free time, Gary spends 13 hours per week on the Internet and 13 hours per week playing video games. If Gary has five hour

goldenfox [79]

Gary spend 13 hours per week on the Internet and 13 hours on video games Gary has 5 hours of free time each day,
so total free time in a week=> 7*5=35 hours
Now he spends 13+13 hours on the internet and games=28 hours Percentage free time spent on games and internet

26/35 (that is a fraction) x100 =74.285714
so round your answer

6 0

3 years ago

Please help me!!!!!!!!!!!!!!!

ycow [4]

Answer:

7) (f+g)(x) = 4^x +5x -5

8) (f-g)(x) = 4^x +x +5

Step-by-step explanation:

7) add the two expressions.

(f+g)(x) = f(x) +g(x) = (4^x +3x) +(2x -5)

(f+g)(x) = 4^x +5x -5

__

8) subtract g(x) from f(x).

(f-g)(x) = f(x) -g(x) = (4^x +3x) -(2x -5) = 4^x +3x -2x +5

(f-g)(x) = 4^x +x +5

7 0

3 years ago