Answer:
<em>The correct option is: D) S(a) = 2.00a + 100.00; shift 50 units up</em>
Step-by-step explanation:
The rent for an apartment is represented by 
Now, the rent increases by $50.00 when the apartment is furnished. So, the rent of a furnished apartment will be: 
Thus the new function will be: 
<u>As the output of the original function is increased by 50.00, so the graph of the original function will shift 50 units upward</u>.
Answer:
D. 16 ft
Step-by-step explanation:
h = √20² - (24/2)² = √400-144 = √256 = 16
Answer:
<em>The answer is Hence Proved</em>
Step-by-step explanation:
Given that CB║ED , CB ≅ ED
To prove Δ CBF ≅ Δ EDF
This means that the length of CB is equal to ED
As CB║ED The following conditions satisfies when a transversal cut
two parallel lines
- ∠ EDF = ∠ FBC ( Alternate interior points )
- ∠ DEF = ∠ FCB ( Alternate interior points )
∴ Δ CBF ≅ Δ EDF ( By ASA criterion)
The Δ CBF is congruent to Δ EDF By ASA criterion .
<em> Hence proved </em>
Answer:
There are 7 chairs in each row.
Step-by-step explanation:
Hue is arranging some number of chairs. If she arranges them in 6 rows of equal lengths then there will be 3 chairs leftover, or she arranges them in 8 rows of that same length then she requires 11 more chairs.
Let us assume that there are P numbers of chairs and there are x chairs in each row.
Therefore, we can write that
6x + 3 = P ....... (1) and
8x = P + 11
⇒ 8x - 11 = P ........ (2)
Now, from equations (1) and (2) we get,
6x + 3 = 8x - 11
⇒ 2x = 14
⇒ x = 7
Therefore, there are 7 chairs in each row. (Answer)
Answer:
25.5 mph
Step-by-step explanation:
So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed
So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15
y=2(0.25)+40
y=0.5+40
y=40.5
So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed
40.5 - 15 = 25.5
