Answer:
g(x) =
Step-by-step explanation:
If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).
Rule to be followed,
y = k.f(x)
Where k > 1
If the function is vertically compressed then 0 < k < 1
Following the same rule,
A function, f(x) = when vertically stretched by a factor of 5,
Transformed function will be,
g(x) =
Answer:
profit is $18 per sweater
Step-by-step explanation:
if a store buys 19 sweaters for $190 then they are paying $10 per sweater
if a store sells 19 sweaters for $532 they they are receiving $28 per sweater
Since they must pay $10 per sweater then their profit is $18 per sweater
($28-$10)
Answer: ∠DOB: 48°
Step-by-step explanation:
1. we need an equation first. the sum of all angles (108°, n°, 2n°) is equal to 180°. we can depict this with the equation: 108°+2n°+n°=180°
2. now we can solve for the missing variable, n.
108°+3n°=180° → subtract both sides by → 3n°=72° → divide both sides by 3 → n=24°
3. now that we know that n=24°, we can solve the value of ∠DOB. we can see that ∠DOB is 2n° which we just plug the number we got for n into the equation. 2*24=48° meaning ∠DOB is 48°
hope this heped! ♡
<u>650 cannonballs
</u>
Explanation step by step:
layer 12 is 12 ^ 2
<u>The formula is:
</u>
n * (n + 1) * (2n + 1) / 6
n = 12
12 (12 + 1) (2 * 12 + 1) / 6
12 * 13 * 25/6 =
650
<u>There are 650 cannonballs in this pyramid.</u>