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Mandarinka [93]
3 years ago
11

Explain how to solve 5x2-3x=25 by completing the square. What are the solutions

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

5x2-3x=25

Divide each term by 5:

x^2 - 3/5x = 5

Make a trinomial square of the left side by taking the square of half of the coefficient of x.

The coefficient of x is -3, so the square would be (-3/10)^2

Add that to both sides of the equation.

Now you have:

x^2 - 3/5x + (-3/10)^2 = 5 + (-3/10)^2

Simplify both sides:

x^2 -3/5x +9/100 = 509/100

Factor the trinomial:

(x-3/10)^2 = 509/100

Solve for x, , take the square root of both sides:

x-3/10 = +/-√509 / 100

Simplify the right side:

x-3/10 = +/-√509/10

Add 3/10 to both sides:

X = +/-√509/10 + 3/10 ( this is the exact form)

You can then find the decimal answer if needed.

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Find the value of s in rectangle
Sphinxa [80]

Answer:

s + 1 = 2s

<u>s = 1</u>

<u></u>

6 0
3 years ago
Please solve this <br><br> 4 3/4 * 7 2/17<br><br> A. 28<br><br> B. 32<br><br> C. 35<br><br> D. 40
Varvara68 [4.7K]
The answer is B. 32
i home this helps
5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!
Paraphin [41]

the overhead, fixed costs, is $1000.

the variable cost is $200, so if she sells "x" tiles, then her costs is 200*x or 200x.

total costs then will just be C(x) = 200x + 1000.

namely both costs added together.

Revenue is just how much it's been taken in from the sales, since each tile is selling for $240, then the revenue is simply 240*x or just R(x) = 240x.

break even point is when those two guys equal each other

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{200x+1000}\implies 40x=1000\implies x=\cfrac{1000}{40}\implies x=25

what if the cost for each tile were $220, 20 bucks more?

\bf \stackrel{R(x)}{240x}=\stackrel{C(x)}{220x+1000}\implies 20x=1000\implies x=\cfrac{1000}{20}\implies x=50

well, if the cost for each tile is $200, her break-even point is at 25 units, namely once she has sold 25 tiles, she's has lost nothing, has won nothing either, but hasn't lost anything.

if the cost is however $220 instead, her break-even point comes much later, at 50 units, so she'll have to sell more tiles in order to not have any losses, so she's worse off if the cost is more or course.

4 0
3 years ago
Javier asks his mother how old a tree in their yard is. His mother says, "The sum of 10 and two-thirds of that tree's age, in ye
Sloan [31]

Answer:

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

Step-by-step explanation:

The sum of 10 and two-thirds of that tree's age, in years, is equal to 50.

Correct equation

Sum = addition (+)

two-thirds = 2/3

The tree's age = a

10 + 2/3a = 50

2/3a = 50 - 10

2/3a = 40

a = 40 ÷ 2/3

= 40 × 3/2

= 60

a = 60 years

Javier writes the equation

(10 + two-thirds) a = 50

(10 + 2/3)a = 50

(30+2/3)a = 50

32/3a = 50

a = 50 ÷ 32/3

= 50 × 3/32

= 150/32

a = 150/32

His error is adding 10 and 2/3 before multiplying by a(age of the tree)

5 0
3 years ago
13
Assoli18 [71]
B)-3 for the vertex, do u have to graph it?
4 0
3 years ago
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