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4 years ago

If p is a true statement and q is false, what is the truth value of p v q?

Mathematics

1 answer:

Leona [35]4 years ago

3 0

P ∨ q = true ∨ false = true

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Find all values of c in the open interval (a, b) such that f'(c)=(f(b)-f(a))/(b-a)

timama [110]

<h3>Answer: c = 7/4</h3>

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Work Shown:

Compute the function value at the endpoints

$f(x) = \sqrt{4-x}\\\\f(-5) = \sqrt{4-(-5)} = 3\\\\f(4) = \sqrt{4-4} = 0\\\\$

With a = -5 and b = 4, we have

$f'(c) = \frac{f(b)-f(a)}{b-a}\\\\f'(c) = \frac{f(4)-f(-5)}{4-(-5)}\\\\f'(c) = \frac{0-3}{9}\\\\f'(c) = -\frac{1}{3}\\\\$

So,

$f(x) = \sqrt{4-x}\\\\f'(x) = -\frac{1}{2\sqrt{4-x}}\\\\f'(c) = -\frac{1}{3}\\\\-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\$

Use algebra to solve for c

$-\frac{1}{2\sqrt{4-c}} = -\frac{1}{3}\\\\\frac{1}{2\sqrt{4-c}} = \frac{1}{3}\\\\3 = 2\sqrt{4-c}\\\\2\sqrt{4-c} = 3\\\\\sqrt{4-c} = \frac{3}{2}\\\\4-c = \frac{9}{4}\\\\c = 4-\frac{9}{4}\\\\c = \frac{16-9}{4}\\\\c = \frac{7}{4}\\\\$

6 0

3 years ago

What is the probability that if you picked out a number ball 3 times you would get the number 7 each time

harina [27]

I don’t get it sorry

6 0

3 years ago

Lalo has 1,500 minutes per month on his cell phone plan. How many more minutes can he use if he has already talked for 785 minut

Ket [755]

Answer:

715 minutes

Step-by-step explanation:

we know that

To find out how many more minutes he can use, subtract the number of minutes he has already talked from the number of minutes of his plan

Let

x -----> the number of minutes of his plan

y -----> he number of minutes he has already talked

$x-y$

we have

$x=1,500\ min\\y=785\ min$

substitute

$1,500-785=715\ min$

4 0

3 years ago

Solve for W -5.1=1.3+w/4

Lera25 [3.4K]

-5.1=1.3+w/4
Subtract 1.3 from both sides
-6.4=w/4
Multiply both sides by 4
-25.6=w

Check work:
-5.1=1.3+(-25.6/4)
-5.1=1.3+(-6.4)
-5.1=1.3-6.4
-5.1=-5.1

Hope this helps! :)

7 0

3 years ago

What value of x results in f(x) = 1 given the<br> function f(x) = 9 - 4x?

BlackZzzverrR [31]

Answer:

2 =x

Step-by-step explanation:

f(x) = 9 - 4x

Let f(x) = 1

1 = 9 -4x

Subtract 9 from each side

1-9 = 9-4x-9

-8 = -4x

Divide by -4

-8/-4 = -4x/-4

2 =x

3 0

3 years ago

Read 2 more answers