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Naddika [18.5K]
3 years ago
6

Which system of equations can you

Mathematics
1 answer:
Yuki888 [10]3 years ago
3 0
The answer is <span>y = 2x3 + 4x2 – x + 5 and  y = –3x2 + 4x + 9
Roots are both: x=-4, x= -1/2 , x= 1

Proof:

Solve for x over the real numbers:
2 x^3 + 4 x^2 - x + 5 = -3 x^2 + 4 x + 9

Subtract -3 x^2 + 4 x + 9 from both sides:
2 x^3 + 7 x^2 - 5 x - 4 = 0

The left hand side factors into a product with three terms:
(x - 1) (x + 4) (2 x + 1) = 0

Split into three equations:
x - 1 = 0 or x + 4 = 0 or 2 x + 1 = 0

Add 1 to both sides:
x = 1 or x + 4 = 0 or 2 x + 1 = 0

Subtract 4 from both sides:
x = 1 or x = -4 or 2 x + 1 = 0

Subtract 1 from both sides:
x = 1 or x = -4 or 2 x = -1

Divide both sides by 2:

Answer:  x = 1 or x = -4 or x = -1/2
</span>
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A wood stove burns 4 same-sized logs in 2 hours. How many logs does the stove burn in 8 hours?
Liono4ka [1.6K]
(4logs/2hours) = (x logs/8 hours)

(4/2) = x/8)

Cross multiplication gets you:

(4)(8) = (2)x
32 = 2x
x = 16

16 logs
8 0
3 years ago
Read 2 more answers
Which expression is equivalent to b + b - 0.56b?
Alexxx [7]
Hey there!

“Which expression is equivalent to b + b – 0.56b?”

• “b” or any other letter value is considered an “unknown number” so usually we label it/them as an invisible 1

• COMBINE the LIKE TERMS

(b + b – 0.56b)

(1b + 1b – 0.56b)
1b + 1b = 2b
2b – 0.56b = 1.44b

• Therefore, b + b – 0.56b is equivalent to 2b + 0.56b

Possible answer that you could be looking for: 2b + 0.56b ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
4 0
3 years ago
Perry borrows $350 at a simple interest rate of 4.5%. Perry pays back the loan in 30 months. How much interest does Perry pay on
Nitella [24]

Answer: the interest on the loan is $39.38

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

From the information given,

P = $350

R = 4.5%

There are 12 months in a year. Converting 30 months into years, it becomes

30/12 = 2.5. so

T = 2.5 years

Therefore

I = (350 × 4.5 × 2.5)/100

I = $39.38

3 0
3 years ago
Help me please. I'll give brainliest
Nikolay [14]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
2280÷60 how to work it out
Arturiano [62]
You could do 228/6 = 38 

2280/60 = 38

hope this helps you
4 0
3 years ago
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