Answer:
196
Step-by-step explanation:
To solve this, I broke it down into two parts.
A. Number of routes going to Town C
4 x 3 + 2 = 14
B. Number of routes going back to Town A
3 x 4 + 2 = 14
From here, it is easy to see what to do. Since there are 14 routes going to Town C and 14 routes going back, the answer is 14 x 14 = 196.
Answer:
1) 25
2) 2
3) f(g(1)) = 42
Step-by-step explanation:
1) Given that f(x) = 4x^2 + 9
If x = -2
f(-2) = 4(-2)^2 + 9
f(-2) = 4(4) + 9
f(-2) = 16 + 9
f(-2) = 25
2) Given that f(x) = 4x - 6
y = 4x - 6
Replace y with x
x = 4y - 6
MAke y the subject of the forfmula
4y = x+ 6
y = (x+6)/4
SInce x = 2
f^(-1)(2) = (2+6)/4
f^(-1)(2) = 8/4 = 2
3) If f(x) = 6x and g(x) = x+6
f(g(x)) = f(x+6)
f(x+6) = 6(x+6)
Since x = 1
f(g(1)) = 6(1+6)
f(g(1)) = 6(7)
f(g(1)) = 42
<h2><u>
Answer:</u></h2>
Jared and Pedro walked a total of <u>4.3 miles</u>
<h2><u>
Step-by-step explanation:</u></h2>
- The equation for distance is <u>speed = distance ÷ time.</u>
- Rearrange the equation to make distance the subject:
<em>(multiply both sides by time)</em>
<em> </em><u>Distance = Speed × Time</u>
- Convert your numbers into suitable units:
1 mile ÷ 15 = <u>0.06m/minute</u>
- Finally, substitute the numbers into the equation and solve:
Distance = 0.06 × 65 = <u>4.3miles</u> (rounded to the nearest decimal place)
<h2 />
First one is 9/10 second is 1 2/5
Scale = 1cm:3km
Therefore area of lake = 81Km
1:3 = x:81
= 27:81
Therefore the area on map is 27cm
Must click thanks and mark brainliest