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1 month ago

X + y = 4 x - 2y = -5 If the first equation is multiplied by 2 and then the equations are added, the result is _____.

2 answers:

8 0

X + y = 4, when multiplied by 2, gives 2x + 2y = 8

x - 2y = -5
Adding 2x + 2y = 8
---------------results in
3x = 3......you are correct <==

Zina [12.3K]1 month ago

3 0

Indeed, you are correct

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Rename the number 805 tens=

zzz [12365]

805 tens
805x10=8050
805 tens equals 8050

6 0

15 days ago

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What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St

zzz [12365]

Answer:

$1+\sqrt{2}$

Step-by-step explanation:

Consider a quadratic equation given by

$ax^2+bx+c=0$ .... (1)

The quadratic formula then is

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

The quadratic equation provided is

$0=-x^2+2x+1$

This can be expressed as

$-x^2+2x+1=0$ .... (2)

By comparing (1) and (2), we derive:

$a=-1,b=2,c=1$

Plug these values into the quadratic formula.

$x=\dfrac{-2\pm \sqrt{2^2-4(-1)(1)}}{2(-1)}$

$x=\dfrac{-2\pm \sqrt{4+4}}{-2}$

$x=\dfrac{-2\pm \sqrt{8}}{-2}$

$x=\dfrac{-2\pm 2\sqrt{2}}{-2}$

Factoring out common elements.

$x=\dfrac{-2(1\pm \sqrt{2})}{-2}$

$x=1\pm \sqrt{2}$

The two solutions are

$x=1+\sqrt{2}$ and $x=1-\sqrt{2}$

We recognize that

$\sqrt{2}=1.41$

Thus,

$1$

Consequently, root $x=1+\sqrt{2}$ is positive while $x=1-\sqrt{2}$ is negative.

9 0

1 month ago

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Melissa has three different positive integers. She adds their reciprocals together and gets a sum of $1$. What is the product of

Svet_ta [12734]

Given the three integers are $a,b,c$ , we arrive at

$\dfrac1a+\dfrac1b+\dfrac1c=1$

We can merge the fractions on the left side:

$\dfrac{bc}{abc}+\dfrac{ac}{abc}+\dfrac{ab}{abc}=\dfrac{bc+ac+ab}{abc}=1$

$\implies abc=bc+ac+ab$

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13 days ago

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Please enter the missing number: 2, 9, 20, 37, 64, 107, ?

Leona [12618]

The missing number is 174.

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1 month ago

Jake forgot to replace the cap on a bottle of deodorant. The deodorant began to evaporate at the rate of 12% per day. If the ori

PIT_PIT [12445]

Answer:

graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x

Step-by-step explanation:

The deodorant starts to evaporate, indicating a mass reduction, thus 12% represents the decay rate. In exponential decay, the function's graphical representation adheres to the formula:

$y=a(1-r)^x$

Where $a$ signifies the starting quantity ( $a=30$ ), $r$ is the decay rate ( $r=0.12$ ) and $x$ denotes the time intervals, measured in days for this case. By inserting the given values into the formula:

$y=30(1-0.12)^x\\y=30(0.88)^x$

Which aligns with the "graph representing the function f of x equals 30 multiplied by 0.88 raised to the exponent of x".

3 0

18 days ago