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Svetllana [295]
3 years ago
15

Why is it important to be able to solve for variables in equations?

Mathematics
1 answer:
stellarik [79]3 years ago
5 0
Solving for variables in equations is important for many reasons.  Of course, it's important to be able to solve for them so you can pass math tests.  But even more so, it's important for real-life applications.  There are many uses for solving equations.  They can provide answers for mathematicians, accountants, insurance companies- you name it!  There are way too many to list!  It may not seem important now, but just keep working at it!  I personally think solving equations is a ton of fun!
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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
trasher [3.6K]
The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
b=20 and a=-1.

Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

8 0
3 years ago
Choose an ecosystem near you.List three organisms in the ecosystem and describe limiting factors for each of them?
PilotLPTM [1.2K]

Urban ecosystem. 1) Birds - their limiting factor is the number of trees that can support their young2) Trees - amount of fertile soil, since buildings are abundant they can't grow properly3) Wild dogs - having a hard time to feed themselves due to scarce foodThank you for your question. Please don't hesitate to ask in Brainly your queries.
8 0
3 years ago
The equation of the line through point (-4,0) and parallel to the y-axis is
seraphim [82]

Answer:y=-4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The slope of the line below is 2 use the coordinates of the labeled point to find a point slope equation of the line
yan [13]

Answer:

B.

Step-by-step explanation:

The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.

You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.

When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.

When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.

5 0
3 years ago
Read 2 more answers
Rick cuts a 12-foot-long ribbon into 2 pieces. One piece is 3.5 feet longer than the other. What is the length of each piece?
GREYUIT [131]

Its impossible there is no way to solve it because x+3.5= y no number can make 12 if one number is 3.5 ft longer than the other Ignore this i dont feel like erasing this part.

144 in. 42 in. greater than the other 42 + x = y Nvm if you convert the numbers too in. the numbers are 93 + 51 = 144 and if you convert it back it would be

7.75 + 4.25 = 12

3 0
2 years ago
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