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3 years ago

What is the input value for which g(x) = -2? x = ?

Mathematics

1 answer:

Zina [86]3 years ago

3 0

g(x)=-2

Simplfy: y=-2

x=-9

*Look at where the points intersect

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What is the general process for solving an equation with one variable?

elena55 [62]

Greetings!

"What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
 $2x+4=64$
Add -4 to both sides to isolate the variable.
 $(2x+4)+(-4)=(64)+(-4)$ 
Simplify.
 $2x=60$
Divide both sides by 2 to isolate the variable on one side.
$(2x)/2=(60)/2$
$x=30$

Hope this helps.
-Benjamin

5 0

4 years ago

Determine for which values of m the function variant Φ(x) = x^m is a solution to the given equation. a. 3x^2 (d^2y/dx^2) + 11x(d

miv72 [106K]

Answer:

a) m = -9 or m = 1

b) m = 1 + √6 or m = 1 -√6

Step-by-step explanation:

for

Φ(x) = x^m

then

dΦ/dx (x) = m*x^(m-1)

d²Φ/dx² (x) = m*(m-1)*x^(m-2)

then

for a

3x^2 (d^2y/dx^2) + 11x(dy/dx) - 3y = 0

3x^2*m*(m-1)*x^(m-2) + 11*x* m*x^(m-1) - 3*x^m = 0

3*m*(m-1)*x^m + 11*m*x^m- 3*x^m = 0

dividing by x^m

3*m*(m-1) + 11*m - 3 =0

3*m² + 8 m - 3 =0

m= [-8 ± √(64 + 4*3*3)]/2 = (-8±10)/2

m₁ = -9 , m₂= 1

then Φ(x) = x^m is a solution for the equation a , when m = -9 or m = 1

for b)

x^2 (d^2y/dx^2) - x(dy/dx) - 5y = 0

x^2*m*(m-1)*x^(m-2) - x* m*x^(m-1) - 5*x^m = 0

m*(m-1)*x^m -m *x^m- 5*x^m = 0

dividing by x^m

m*(m-1) -m - 5 =0

m² - 2 m - 5 =0

m= [2 ± √(4 + 4*1*5)]/2 = (2±√24)/2 = 1 ±√6

m₁ = 1 + √6 , m₂ = 1 - √6

then Φ(x) = x^m is a solution for the equation b , when m = 1 + √6 or m = 1 - √6

7 0

3 years ago

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set up the algebra tiles for each equation and take a snippet of it to submit, along with the work and the answer. 6x + 2 = 4x –

lapo4ka [179]

X = -5 is the answer

3 0

3 years ago

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Factor x^2 + 10x + 25. Show your work. (3 points)

Bad White [126]

a² + 2ab + b² = (a+b) * (a + b) pattern condensed multiplication

x² + 10x + 25
a² + 2ab + b²

(1x)² + 2*1x*5 + (5)² = (a+b)*(a+b)
a=x 2ab= 10x b=5 = (x+5)*(x+5)

Answer : (x+5)*(x+5)

3 0

3 years ago

Would I use (y² - y¹) / (x² - x¹) or y=mx + b? If possible please help!! Evens ONLY!!

lys-0071 [83]

Answer:

You would use y2 - y1 / x2 - x1

Since you are trying to find the slope of the line...

Step-by-step explanation:

5 0

4 years ago

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