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faltersainse [42]
3 years ago
11

A rectangular picture frame is 5 inches wide and 10 inches tall. You want to make the area 6 times as large by increasing the le

ngth and width by the same amount. Find the number of0 inches by which each dimension must be increased.
​
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer:

5 inches

Step-by-step explanation:

(5 + x)(10 + x) = 6x²

x² + 15x + 50 = 6x²

5x² - 15x + 50 = 0

x² - 3x + 10 = 0

(x - 5)(x + 3) = 0

x = 5, x = -3

We want x to be positive, so x = 5.

Thus, each dimension must be increased by 5 inches.

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What is the mode of these numbers: 10, 13, 800, 24 and 13
OverLord2011 [107]
A mode is the number that appears the most in a set of numbers. (I'm going to put the numbers in order before I solve this) 

10, 13, 13, 24, 800

The answer is 13, because it appears more than any of the other numbers. :)

Hopefully this helps! If you have any more questions or don't understand, feel free to DM me, and I'll get back to you ASAP! :)
3 0
3 years ago
Read 2 more answers
The graph below shows a company’s profit f(x), in dollars, depending on the price of the erasers x, in dollars, being sold by th
Alex777 [14]

The x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a graph of a function:

From the graph:

x-intercept = (0, 0) and (8, 0)

Maximum value of the graph = 270 at x = 4

Increasing in the interval x ∈ (0, 4)

Decreasing in the interval x ∈ (4, 8)

As the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Rate of function = (270-120)/(4-1) = 50

Thus, the x-intercept = (0, 0) and (8, 0), Rate of function is 50 and as the price of erasers increasing the company's profit increasing and when price of the eraser decreasing the price the company's profit decreasing.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

8 0
2 years ago
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?
dmitriy555 [2]
A. 2x^2 - 3x + 10 = 2x + 21
2x^2 - 3x - 2x + 10 - 21 = 0
2x^2 - 5x - 11 = 0                              (quadratic equation)

2x^2 - 6x - 7 = 2x^2
2x^2 - 2x^2 - 6x - 7 = 0
-6x - 7 = 0                                          (not a quadratic equation)

5x^2 + 2x - 4 = 2x^2
5x^2 - 2x^2 + 2x - 4 = 0
3x^2 + 2x - 4                                      (quadratic equation)

5x^3 - 3x + 10 = 2x^2
5x^3 - 2x^2 - 3x + 10 = 0                    (not a quadratic equation)

Therefore, options a and c can be solved using the quadratic formula.
3 0
3 years ago
The quantity a varies directly with b and c and inversely with dThe quantity d is tripledWhich of the following must be true for
EastWind [94]

Answer:

We have the next relation:

A = (b*d)/c

because we have direct variation with b and d, but inversely variation with c.

Now, if we have 3d instead of d, we have:

A' = (b*(3d))/c

now, we want A' = A. If b,c, and d are the same in both equations, we have that:

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this will only be true if b or/and d are equal to 0.

If d remains unchanged, and we can play with the other two variables we have:

3b'd/c' = bd/c

3b'/c' = b/c

from this we can took that: if c' = c, then b' = b/3, and if b = b', then c' = 3c.

Of course, there are other infinitely large possible combinations that are also a solution for this problem where neither b' = b or c' = c

6 0
3 years ago
Which term is a term in this expression?<br><br> A. x+4<br> B. -7<br> C. -3<br> D. -3x
svp [43]

Answer: -3x is a term

Step-by-step explanation: Any number that has a variable after it is a term. Another way to look at it is any grouping of a number and a variable. If the number stands alone, it's not a term, and if it is being added to something, it is an equation.

7 0
3 years ago
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