Ii dont understand how to solve a system of linear equations using the substitution method

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Answer 1
Answer: so 8x-7y=-7
-16+12x=14
you can simplify the sceon equation
-8+6x=7
add 8 to both sides
6x=15
divide by 6
x=15/6
subssitute
8(15/6)-7y=-7
120/6-7y=-7
20-7y=-7
subtract 20
-7y=-27
divide by -7
y=27/7

x=15/6
y=27/7

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Discontunuity of f(x) = x^2 plus 2x over x plus 2

Answers

Answer:

When we have a function like:

f(x) = (g(x))/(h(x))

This function will have a discontinuity only if it diverges, and a divergence can happen when the denominator is equal to zero and the numerator is different than zero.

In this case, we have the equation:

f(x) = (x^2 + 2*x)/(x + 2)

Here the denominator is:

h(x) = x + 2

This is equal to zero when:

x + 2 = 0

x = -2

Now we need to see what happens with the numerator when x = -2

g(-2) = (-2)^2 + 2*(-2) = 0

Is equal to zero.

Then we need to see the limit when x -> -2, and use the L'Hopital theorem.

\lim_(x \to \ - 2) (x^2 + 2*x)/(x + 2)

Because we have zero over zero at that point, we need to look at the quotients of the derivatives of both numerator and denominator.

\lim_(x \to \ - 2) (2*x+ 2)/( 2) = (2*-2 + 2)/(2) = -1

Then the function does not diverge, then the function has no discontinuity.

We also could look at the graph of f(x) to see it:

Our function is a linear function, and this is because the numerator is x times the denominator, then the function is:

f(x) = x.

Which represents a quadratic function?f(x) = −8x^3 − 16x^2 − 4x

f (x) = 3/4 x ^2 + 2x − 5

f(x) = 4/x^2 - 2/x + 1

f(x) = 0x^2 − 9x + 7

Answers

A quadratic equation is of the format:

ax² + bx + c = 0,  where a ≠ 0.

The first option is not quadratic, it is a cubic, it has highest power of 3.

The second option f (x) = 3/4 x ^2 + 2x − 5, is quadratic, that is the answer.

The third f(x) = 4/x^2 - 2/x + 1, doesn't qualify because of the 2/x.

The last f(x) = 0x^2 − 9x + 7 , doesn't qualify because of the a = 0, and the rule is that a ≠ 0.

Therefore  f (x) = 3/4 x ^2 + 2x − 5 represents a quadratic function.

I hope this helps.
Hello,

a quadratic function has y=ax²+bx+c with a!=0 for equation.
Thus the only answer is f(x)=3/4 x²+2x-5

H(x) = –x + 5. Which could you change to move the graph down 3 units

Answers

Answer:
(x) = -x + 2

The radical form plz someone help

Answers

Answer:

it cannot be converted to radical form

Step-by-step explanation:

If a flexible air-filled container has a volume of 40 cu ft on the surface, what would the volume be at 99 feet in sea water

Answers

The volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

What is Boyle's law?

Boyle's Law states that If the temperature is constant, the volume of a  gas is inversely proportional to the absolute pressure.

V 1/V2 =P2/P1

V2 = P1 x V1 /P2

Substitute 60 psi for P2, 14.7 psi for P1 and 40cu.ft for V1, we get the volume V2

V2 = 40 x 14.7 / 60

V2 = 9.8 cu.ft

Volume is approximately 10 cu.ft.

Thus, the volume of flexible air filled container at 99 feet in sea water is 10 cu.ft.

Learn more about Boyles law.

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Answer:

50 cu ft

Step-by-step explanation:

The opposite of the opposite of -5 is....

Answers

5 ? maybe i would suppose
The opposite of -5 is +5