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UkoKoshka [18]
2 years ago
15

Which is the best step to do next to solve the equation by completing the square 9(x^2+49x=22-5x

Mathematics
1 answer:
Romashka [77]2 years ago
3 0

Answer: 0

Step-by-step explanation:

Simplifying

9x2 + 49x = 22 + -5x

Reorder the terms:

49x + 9x2 = 22 + -5x

Solving

49x + 9x2 = 22 + -5x

Solving for variable 'x'.

Reorder the terms:

-22 + 49x + 5x + 9x2 = 22 + -5x + -22 + 5x

Combine like terms: 49x + 5x = 54x

-22 + 54x + 9x2 = 22 + -5x + -22 + 5x

Reorder the terms:

-22 + 54x + 9x2 = 22 + -22 + -5x + 5x

Combine like terms: 22 + -22 = 0

-22 + 54x + 9x2 = 0 + -5x + 5x

-22 + 54x + 9x2 = -5x + 5x

Combine like terms: -5x + 5x = 0

-22 + 54x + 9x2 = 0

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Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 year
vlabodo [156]

Answer:

x + 5 = (x + 5) - 5, which has no solution ⇒ answer C

Step-by-step explanation:

* Lets study the situation in the problem

- Jessica is 5 years older than her sister Jenna

- After five years Jenna's age will be as old as Jessica was five years ago

- Jenna's age now is x

* Lets change all information above to equation

∵ Janna's age now is x

∵ Jessica is 5 years old than Janna

∴ The age of Jessica now is x + 5

- After 5 years Janna's age will be add by 5 years

∵ Her age now is x

∴ Her age after 5 years will be x + 5

- From 5 years ago Jessica's age was her age now mins 5 years

∵ Her age now is x + 5

∴ Her age from 5 years ago is (x + 5) - 5

∵ Janna's age after 5 years = Jessica age from 5 years ago

∴ x + 5 = (x + 5) - 5

- Lets solve the equation to know how many solution

∵ x + 5 = x + 5 - 5 ⇒ add the like terms

∴ x + 5 = x ⇒ subtract x from both sides

∴ 5 = 0

- But 5 ≠ 0, the two sides of the equation not equal each other

∴ There is no solution for this equation

* The equation is x + 5 = (x + 5) - 5, which has no solution

8 0
3 years ago
Read 2 more answers
The formula for the future value VV (in dollars) of an investment earning simple interest is V=p+prtV=p+prt, where pp (in dollar
wlad13 [49]
The future value of the investment in dollars s
V = p + prt
where 
p = principal, dollars
r = annual interest rate (in decimal form)
t = time, years

To determine p, write the formula as follows:
Factorize p out on the right side.
  V = p(1 + rt)
Divide each side b (1 + rt).
  \frac{V}{1+rt}=p

Answer:
p= \frac{V}{1+rt}


5 0
2 years ago
Which exponential function is graphed here?
jek_recluse [69]

Answer:

y = 5^x

Step-by-step explanation:

y= b*(a)^x + c

c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2

When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.

So the graph is of the form y = a^x

Now when x = 0 the graph, the y intercept is y = a^0  or y = 1 So the y intercept is (0,1)

Now the next point is thing to solve for is a.

When x = 1, y = 5  (read the graph)

y = a^x

5 = a^1

5 = a because a^1 is a.

Answer

y = 5^x.

5 = a^1

4 0
2 years ago
What is the area of the given shape?
AlekseyPX
Sorry my hand writing isn’t the best but here is the work for it and the answer would be (228in)

7 0
3 years ago
Read 2 more answers
Neeed Help ASAP Quick
Andrew [12]

Answer:

4; 7

Step-by-step explanation:

Small box = 25 and Large box = 50

small box = x and large box = x+3

25x+50(x+3)=450

25x+50x+150=450

75x=300

x=4

Large box = 4+3 = 7

Therefore, 4; 7

I hope this helped and have a good rest of your day!

3 0
2 years ago
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