Answer:
B. n-3
Step-by-step explanation:
If x is an even integer, the next consecutive even integer = x + 2
Since (n-5) is even, the next consecutive even integer = (n-5) + 2 = n-3
Answer:
160,170 and 240,250
Step-by-step explanation:
sorry if wrong
<h2>
Hello!</h2>
The answer is:
The answer is the fourth option,

<h2>
Why?</h2>
Piecewise functions are functions that are composed by two or more expressions, the expression to use will depend of the domain or input that we need to evaluate.
We are given the piecewise function:

There, we know that:
We should use the first expression if the value to evaluate is less than -2.
So, for this case, the function will be:

We should use the second expression if the value to evaluate is greater or equal than 2.
So, for this case, the function will be:

Now, since we are given that the value to evaluate is -3, and its less than -2, we need to use the first expression, and evaluate it.

So, evaluating the function we have:



Hence, we have that the answer is the fourth option,

Have a nice day!
The rest of the question is the attached figure.
============================================
Δ AYW a right triangle at Y ⇒⇒⇒ ∴ WA² = AY² + YW²
And AY = YB ⇒⇒⇒ ∴ WA² = YB² + YW² → (1)
Δ BYW a right triangle at Y ⇒⇒⇒ ∴ WB² = BY² + YW² → (2)
From (1) , (2) ⇒⇒⇒ ∴ WA = WB →→ (3)
Δ CXW a right triangle at Y ⇒⇒⇒ ∴ WC² = CX² + XW²
And CX = XB ⇒⇒⇒ ∴ WC² = XB² + XW² → (4)
Δ BXW a right triangle at Y ⇒⇒⇒ ∴ WB² = XB² + XW² → (5)
From (4) , (5) ⇒⇒⇒ ∴ WC = WB →→ (6)
From (3) , (6)
WA = WB = WC
given ⇒⇒⇒ WA = 5x – 8 and WC = 3x + 2
∴ <span> 5x – 8 = 3x + 2</span>
Solve for x ⇒⇒⇒ ∴ x = 5
∴ WB = WA = WC = 3*5 + 2 = 17
The correct answer is option D. WB = 17
Answer:
8
Step-by-step explanation:
Given:
Total money Jervane can spend = $20.
Cost of a coffee = $3.
Cost of a donut = $2.
To find: Maximum number of donuts Jervane can buy.
Solution:
Let the number of donuts she can buy be
.
She wants to spend no more than $20 in total.
So,





As the number of donuts can only be a natural number.
Hence, the maximum number of donuts that Jervane can buy are 8.