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3 years ago

What is the answer to 2 (r-4)+5(r+2

Mathematics

2 answers:

Gnoma [55]3 years ago

7 0

Answer:

7r + 2

Step-by-step explanation:

I hope this helps have a great day

Lelu [443]3 years ago

7 0

Multiply 2 by (r-4) we will get
2r-8
Then multiply 5 by (r+2)
5t+10
Let’s sum them
(2r+5r)+(10-8)
Which is equal
7r+2

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icang [17]

Any implication is logically equivalent to its contrapositive. In other words,

¬p ⇒ q ⇔ ¬q ⇒ p

(¬ means the same thing as ~, "not")

To prove this: recall that

p ⇒ q ⇔ ¬p ∨ q

This is because p ⇒ q is true if p is false, or both p and q are true, i.e.

p ⇒ q ⇔ ¬p ∨ (p ∧ q)

Disjunction (∨ or "or") distributes over conjunction (∧ or "and"), so that

p ⇒ q ⇔ (¬p ∨ p) ∧ (¬p ∨ q)

but ¬p ∨ p is always true, or a tautology, so we're just left with ¬p ∨ q.

Then

¬p ⇒ q ⇔ p ∨ q

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3 years ago

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

ELEN [110]

Question:

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?

A. 2/5

B. 1

C.2

D.5/2

The image of the graph is attached below.

Answer:

Option D: 5/2 is the average speed over the interval [9,11]

Explanation:

The graph shows the distance in miles of a runner over x hours.

Now, we need to determine the average rate of speed over the interval $[9,11]$

The x-axis represents the time taken.

The y-axis represents the distance.

To find the average speed, let us use the formula for speed which is given by

$speed=\frac{distance}{time}$

Thus, substituting the coordinates $(9,6)$ and $(11,11)$ , we have,

$speed=\frac{11-6}{11-9} =\frac{5}{2}$

Hence, the average speed over the interval $[9,11]$ is $\frac{5}{2}$

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