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3 years ago

Divide.

Mathematics

1 answer:

jeka943 years ago

7 0

Answer: -2 1/11

Hope this helps, have a good day. c;

Work: -4 3/5 divided by 11/5 = -2 5/55 = -2 1/11

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Given f(x) = 3x - 1 and g(x)= -x + 6, find f(-2) + g(5).

prohojiy [21]

You can first find the values of each of the function individually and add the two function up.

3 0

3 years ago

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Ja'Von kicks a soccer ball into the air. The function f(x) = –16(x – 2)2 + 64 represents the height of the ball, in feet, as a f

Dima020 [189]

Answer:

The maximum height the ball reaches is 64 feet

Step-by-step explanation:

The given function is f(x) = -16·(x - 2)² + 64

From the equation, the path described by the ball is an inverted n-shaped parabola

The maximum height is therefore, the tip of the parabola

At the maximum height, the slope = 0 because the tip is momentarily flat

Since the slope (y₂ - y₁)/(x₂ - x₁) = The derivative Δy/Δx, we find the derivative of the function and equate it to zero to find the coordinates at the maximum height

Δy/Δx = dy/dx = d(-16·(x - 2)² + 64)/dx = -32·(x - 2) = -32·x + 64

To check if it is a maximum, we have;

d²y/dx² = d(-32·x + 64)/dx = -32 which is negative, indicating that the slope is reducing and we at the maximum point of the slope

Therefore for the maximum height Δy/Δx = dy/dx = -32·x + 64 = 0

64 = 32·x

x = 64/32 = 2 seconds

We now have the x-value at the slope, the f(x) value, is therefore;

f(2) = -16·(2 - 2)² + 64 = 64 feet

Therefore, the maximum height the ball reaches is 64 feet.

3 0

3 years ago

Solve the system of equations below by graphing.

Katen [24]

(0.5, 1.3) is the correct answer

Step-by-step explanation:

Given equations are:

$y = 4x-0.8\ \ \ Eqn1\\2x+y-2.3=0\ \ \ Eqn2$

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

We can see from the graph that the lines intersect at: (0.517, 1.267)

Rounding off both coordinates of point of intersection to nearest tenth we get

(0.5, 1.3)

Hence,

(0.5, 1.3) is the correct answer

Keywords: Linear equations, variables

Learn more about linear equations at:

#LearnwithBrainly

8 0

3 years ago

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Im too lazy to do this rn lol

gtnhenbr [62]

Answer:

You can drive at 53 miles per day.

Step-by-step explanation: Hope this helped )(-:

7 0

3 years ago

There are 160 people in a grade. The ratio of boys to girls is 3 to 5. Which proportion can you use to find the number x of boys

Nezavi [6.7K]

Answer:

60 boys

Step-by-step explanation:

boys : girls = 3 : 5

Total number of people = 160

Let y = common factor:

Therefore, 3y + 5y = 160

⇒ 8y = 160

⇒ y = 160 ÷ 8 = 20

Boys = 3y = 3 x 20 = 60

Girls = 5y = 5 x 20 = 100

So there are 60 boys and 100 girls

3 0

2 years ago

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