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serious [3.7K]
3 years ago
7

Tony has an order for a rectangular sheet of metal that measures 42m^2. If he already has a sheet that is 7 meters long and 2 me

ters wide, what size sheet will he need to weld to this sheet in order to complete the order ?
Mathematics
1 answer:
Delvig [45]3 years ago
7 0
In order to solve this problem, you need to subtract the metal sheet Tony already has (7m x 2m = 14m^2) from the total size he needs, which is 42m^2. So 42m-14m= 28m^2 that still need to be accounted for. Since it is a rectangular shape, one of the dimensions of the added sheet must be the same as the original. the only dimension would be 7m by 4m which would equal 28m^2. Add this to the original 14m^2 and this would add up to the desired 42m^2. So your answer is 7m by 4m sheet needs to be added.
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ANALYZE A PROBLEM Describe the x-values for which (a) f is increasing (b) f is decreasing, (c) f (x) > 0 and (d) f (x) < 0
Karolina [17]

The analysis of the graph, that has x-intercepts of (0, 2), and (0, 5), we get;

a. The function increases when x > 4

b. The function decreases when x < 4

c. The function is greater than zero when x < 3, and x > 5

d. The function is less than zero when 3 < x < 5

<h3>What is a point where a function is increasing?</h3>

The location of a point where a function is increasing is where the slope of the function is larger than zero.

The description of the graph of the function are as follows;

The shape of the function  = Concave upwards

The coordinates of the vertex of the function = (4, -5)

The region where the function is decreasing is from -∞ to 4

The region where the function is decreasing is therefore; x < 4

At the vertex, (4, -5), the slope of the function is zero, therefore;

Therefore, the function is increasing where x > 4

The x-intercepts are at point (0, 3) and (0, 5)

Therefore, the function is greater than zero when x < 3, and when x > 5

The function is less than zero in the range 3 < x < 5

Learn more about the graph of functions here:

brainly.com/question/16924356

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7 0
2 years ago
A sporting goods store purchased a snowboard and marked it up 25% from the original cost of $120. Then, wanting to make room for
Margaret [11]

The price after the discount was $45.

When the sporting goods store bought the snowboard and marked it up by 25%, the price became:

<em>= Original cost x ( 1 + markup percentage)</em>

= 120 x ( 1 + 25%)

= 120 x 1.25

= $150

The snowboard was then discounted by 70%, the new price becomes:

<em>= Current price x ( 1 - discount rate)</em>

= 150 x ( 1 - 70%)

= 150 x 30%

= $45

In conclusion, the price after the discount was $45.

<em>Find out more at brainly.com/question/1472521.</em>

3 0
2 years ago
What is an equation of the line that passes through the point (-5 7) and is parallel to the line x-5y=15
mafiozo [28]

Answer:

Step-by-step explanation:

Parallel lines have same slope.

y = mx + b

Slope = m  & y-intercept = b

x - 5y = 15

   -5y = -x + 15

      y = \frac{-1}{-5}x + \frac{15}{-5}\\\\

y = \frac{1}{5}x - 3

so, slope = 1/5   ; (-5 , 7)

y -y1 = m(x -x1)

y - 7 = \frac{1}{5}(x- [-5])\\\\y - 7 =\frac{1}{5}(x + 5)\\\\y - 7 = \frac{1}{5}x+5*\frac{1}{5}\\\\y - 7 =\frac{1}{5}x+1\\\\y =\frac{1}{5}x+1+7\\\\y=\frac{1}{5}x + 8

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3 years ago
Which is the 8th term of th geometric sequence 1024,256,64,...?
Elenna [48]
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4 years ago
For algebra 2 please help &lt;3
Bumek [7]

Answer:

A. 1

Step-by-step explanation:

✔️To find f(g(1)), first find g(1).

From the mapping given for g(x), the corresponding value of x = 1, is 0.

That is,

g(1) = 0

✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1

Thus:

f(g(1)) = 3√0 + 1

f(g(1)) = 0 + 1

f(g(1)) = 1

3 0
3 years ago
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