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3 years ago

Find the vertex of this function f(x)= x^2+4x-12

1 answer:

7 0

F(x) = x² + 4x - 12

x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2

f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0

The vertex of the function is (2,0).

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Answer

Step-by-step explanation:

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3 years ago

Use the rules for logarithms and exponents to write this equation in logarithmic form.?

Papessa [141]

Answer:

$ln K = ln (A) -\frac{\Delta H}{RT}$

Step-by-step explanation:

For this case we have the following expression:

$K = A e^{-\frac{\Delta H}{RT}}$ (1)

And we want to find the value of ln K. If we apply natural log on both sides of the equation (1) we got:

$ln K = ln(A e^{-\frac{\Delta H}{RT}})$

Using the following property:

$ln(xy) = ln (x) + ln(y)$ for x and y real numbers, x>0, y>0, then we have:

$ln K = ln (A) + ln (e^{-\frac{\Delta H}{RT}})$

Now since the natural log and the exponentiation are inverse operations we have this:

$ln K = ln (A) + (-\frac{\Delta H}{RT})$

And then the final expression for ln K is :

$ln K = ln (A) -\frac{\Delta H}{RT}$

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4 years ago

Corey is 176 miles from Tom. Traveling towards each other. If Tom travels 4 mph faster than Corey and they meet after 8 hours, h

Bingel [31]

Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.

Step-by-step explanation:

Let x represent Corey's speed.

If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph

Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.

Distance = speed × time

Distance travelled by Corey in 8 hours would be

8 × x = 8x miles

Distance travelled by Tom in 8 hours would be

8(x + 4) = (8x + 32) miles

Since the total distance travelled by Tom and Corey is 176 miles, then

8x + 8x + 32 = 176

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Tom's speed would be

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4 years ago

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4 years ago

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viva [34]

Answer:

x=83

Step-by-step explanation:

97+x=180

x=83

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3 years ago

Read 2 more answers