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3 years ago

Find f(-3) for f(x) = -2x + 5. A. -1 B. 10 C. -10 D. 11

Mathematics

2 answers:

tangare [24]3 years ago

5 0

Answer:

<h3> $\boxed{ \sf{ \bold{ \boxed{11}}}}$ </h3>

Option D is the correct option.

Step-by-step explanation:

Given,

$\sf{f(x) = - 2x + 5}$

To find : f ( - 3 )

Let's find:

$\sf{f( - 3) = - 2 \times ( - 3) + 5}$

Calculate the product

$\sf{ = 6 + 5}$

Add the numbers

$\sf{ = 11}$

Hope I helped!

Best regards!!

Rina8888 [55]3 years ago

4 0

Answer: f(-3) = 11

Step-by-step explanation: Here we're given the function

f(x) = -2x + 5 and we're asked to find f(-3).

In other words, if we put an x into our function, we get a -2x + 5 out.

So what happens when we put a -3 into the function?

Well if we put a -3 into the function,

that's f(-3), we get a -2(-3) + 5 out.

Now all we have to do is simplify on the right side,

-2(-3) is 6, so we have 6 + 5 which is 11.

So f(-3) is 11.

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a paper airplane can be made out of two different pieces of paper: a circular piece 10 inches wide and a square piece 11 inches

madreJ [45]

Compare the areas of the 2 different pieces of paper.

For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.

For the square, the area is A = s^2, where is the side length, which here is 11 inches.

Finish these calculations, and then compare your two areas. Which is the larger?

5 0

3 years ago

Let f(x) = 4x - 3 and h(x) = -5x + 7 . F(-3) + h(2)

zheka24 [161]

F(-3) = -12 - 3 = -15
h(2) = -10 + 7 = -3

-15 + (-3)

-18

5 0

3 years ago

A tank is filled at a constant rate. 10 minutes after filling is started, the tank contains 4.8L of water. After 35 minutes the

Mashcka [7]

Answer:

Part A)

0.1 liters per minute.

Part B)

There was initially 3.8 liters of water.

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

Part C)

562 minutes.

Step-by-step explanation:

A tank is filled at a constant rate. After 10 minutes, the tank contains 4.8 L of water and after 35 minutes, the tank contains 7.3 L of water.

Part A)

We can represent the current data with two points: (10, 4.8) and (35, 7.3). The x-coordinate is measured in minutes since the tank began to be filled and the y-coordinate is measured in how full the tank is in liters.

To find the rate at which the tank is being filled, find the slope between the two points:

$\displaystyle m = \frac{\Delta y}{\Delta x} = \frac{(7.3)-(4.8)}{(35)-(10)} = \frac{2.5}{25} = 0.1$

In other words, the rate at which the tank is being filled is 0.1 liters per minute.

Part B)

To find the function of the volume of the tank, we can use the point-slope form to first find its equation:

$\displaystyle y - y_1 = m( x - x_1)$

Where m is the slope/rate of change and (x₁, y₁) is a point.

We will substitute 0.1 for m and let (10, 4.8) be the point. Hence:

$\displaystyle y - (4.8) = 0.1(x - 10)$

Simplify:

$\displaystyle y = 0.1(x-10) + 4.8$

Since y represent how full the tank is and x represent the time in minutes since the tank began to be filled, we can substitute y for V(t) and x for t. Thus, our function is:

$\displaystyle V(t) = 0.1(t - 10) + 4.8$

The initial volume is when t = 0. Evaluate:

$\displaystyle V(0) = 0.1 ((0) - 10) + 4.8 = 3.8$

There was initially 3.8 liters of water.

Part C)

To find how long it will take for the tank to be completely filled given its maximum capacity of 60 liters, we can let V(t) = 60 and solve for t. Hence:

$60 = 0.1(t - 10) + 4.8$