1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anarel [89]
3 years ago
12

Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

Mathematics
1 answer:
salantis [7]3 years ago
5 0

Answer:

There are no simple factors to this expression.  You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process.  You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2.  We can however solve for x:

y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}

You might be interested in
Simplify all of the below1.) 3√10+7√15-6√10-4√152.)5√7+12√6-10√7-5√63.)7√3-4√6+√48-√544.)3√5-2√7+45-√285.) √10 * √8
Black_prince [1.1K]

1. -3√10+3√15

2. -5√7+7√6

3. 11√3-7√6

4. 3√5-4√7+45

5. 4√5

3 0
3 years ago
Natalia is making gift bags for her son's birthday party. Each bag costs $3.24 to make and she needs to make 15 bags. How much w
Elden [556K]
The answer is $48.60 you just have to multiply the amount of bags times the cost of each bag to get your amount so
15 x 3.24 =48.60
3 0
3 years ago
Read 2 more answers
In planning her retirement, Liza deposits some money at 2.5% interest, with twice as much deposited at 4.5%. Find the amount dep
Harlamova29_29 [7]

Let us assume $x is deposit at 2.5% interest.

At the rate 4.5% deposited amount is twice of the amount deposited at 2.5%.

Therefore, at the rate 4.5% deposited amount = $2x.

Total interest earned by both different deposited amount at the rate 2.5% and at the rate 4.5% = $1150.

We can setup an eqation now,

Interest earned on $x at 2.5% + interest earned on $2 at 4.5% = $1150.

2.5% of x + 4.5% of 2x = 1150

Percentage could be written in decimals by dividing by 100.

Therefore, 2.5% = 2.5 /100= 0.025 and 4.5% = 4.5/100 = 0.045.

We could rewrite above equation as,

0.025*x + 0.045 * 2x = 1150

0.025x + 0.09x =1150

Adding 0.025x + 0.09x, we get 0.115x.

So, 0.115x=1150.

Dividing both sides by 0.115.

0.115x/0.115=1150/0.115.

x= $1000.

2x= 2* 1000= $2000

Therefore,

$1000 deposited at 2.5% and $2000 deposited at 4.5%.



7 0
3 years ago
What is the recursive formula for this sequence . 10,14,18,22,26
Marrrta [24]

add 4 each time

the nth term is a_n or f(n)

the next term after that is a_{n+1} or f(n+1)

so each term is 4 more than previous

basically

a_{n+1}=4+a_n or

f(n+1)=4+f(n)

same thing

4 0
3 years ago
Read 2 more answers
Ramona is a saleswoman whose base plus commissions amounted to $52,561 last year. If her base pay was $23,960 and she made $77,3
Ksju [112]

Answer:

37%

Step-by-step explanation:

If Ramona received an overall pay of $52,561 last year, $23,960 of which was base pay, we can first subtract these two numbers to find the amount she made from her sales commission:

$52,561 - $23,960 = $28,601

In order to find her percent commission, we can set up a proportion:

\frac{p}{100}=\frac{28,601}{77,300}, where 'p' is her rate of commission

Cross-multiply and divide:  100(28601) = 77300x or 2,860,100 = 77,300x

Or x = 37%

8 0
3 years ago
Read 2 more answers
Other questions:
  • URGENT URGENT HELP In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally
    8·2 answers
  • How many cups of sorbet are used in a cups of punch
    10·1 answer
  • What is the simplest form of 2 sqrt 3/ sqrt 6
    12·2 answers
  • What is the quotient of 4.56 and 0.05
    14·1 answer
  • A sinusoidal function whose frequency is 1/6pi
    12·2 answers
  • 4х + 5 = 3х + 4?<br> please help with this equation!
    13·2 answers
  • VX<br> What is the area of the parallelogram?<br> 18 cm<br> 28 cm. <br> 36 cm<br> 45 cm
    13·1 answer
  • What does x + 24 = -56 equal​
    10·1 answer
  • 8 necklace have 864 beads in all how many beads will 15 such necklace have?​
    13·1 answer
  • Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!