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3 years ago

The weight of the load varies

Mathematics

1 answer:

geniusboy [140]3 years ago

3 0

The weight varies directly with the number of boxes, so this means every box weighs the same amount.

Find the weight of a box by dividing the known weight by the number of boxes:

600 pounds / 16 boxes = 37.5 pounds per box.

Now multiply the weight per box by the number of boxes:

37.5 pounds x 12 boxes = 450 pounds

12 boxes weigh 450 pounds

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

Lostsunrise [7]

Since x represents the length (in meters), the width, which is 7 meters greater, is x +7. The product of these dimensions is the area (in square meters):
x(x +7) = 170
In standard form, the quadratic is ...
x² +7x -170 = 0

4 0

3 years ago

2. Consider the function, f(x)=x^3+x^2-9x-9

Sedaia [141]

The intercepts of the graph are:

x-axis interception: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception: $\left(0,\:-9\right)$ .

See the graph of the function $f(x)=x^3+x^2-9x-9$ in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.

Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: $\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21$ . Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0) are: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception point (x=0) is: $\left(0,\:-9\right)$ .

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0

2 years ago

The planet Mercury is approximately 6 × 10*7 miles from the sun . the distance between the sun and Mars is approximately 2 × 10*

vodomira [7]

The answer is B

Because Mercury and the Sun are 60,000,00 miles apart and Mars is 200,000,000 miles away from the sun. Divide 200,000,000 and 60,000,000 and you will get 3.3 (Just round)

3 0

3 years ago

Read 2 more answers

A company makes a profit of $50 per software program and $35 per video game. the company can produce at most 200 software progra

Neko [114]

Let x = software program
Let y = video game

x < 200 ; y < 300

x + y < 425

50x ; 35y

x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875

x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750

x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500

It is more profitable to maximize production of software program when working within the limits provided.

4 0

3 years ago

Read 2 more answers

Write 12 digit whole numbers with the following digits in correct places

lbvjy [14]

Answer:

29,675,000

Step-by-step explanation:

i’m sorry if this is wrong but i think it’s right

4 0

3 years ago