Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
The coordinates of B are (14, -10).
<h3>How to find mid point?</h3>
The midpoint is already know . we can use it to find the coordinates of B.
Therefore,
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence,
M(5, - 4) and A(-4, 2)
The coordinates of B are as follows:
(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)
5 = -4 + x₂ / 2
10 = -4 + x₂
x₂ = 14
hence,
-4 = 2 + y₂ / 2
-8 = 2 + y₂
y₂ = - 10
Therefore, the coordinates of B are (14, -10)
Learn more about midpoint here: brainly.com/question/25377004
#SPJ1
Camel back Mountain = 15,168 inches (1,264 feet)
1 Penny = 0.061 (.0610) Inches
10 Penny = 0.61 (.610) Inches
100 Penny = 6.1 (6.10) Inches
1,000 Penny = 61 (61.0) Inches
10,000 Penny = 610 (610.0) Inches
-SOLVING-
10,000 Penny = 610 inches PLUS
1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)
100 Penny = 6.1 inches PLUS
10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)
1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)
-FINAL ANSWER-
610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.
Initial equation:
4a / 2 = 5.2
Multiply both sides by 2:
4a = 10.4
Divide both sides by 4:
a = 2.6
Hope this helps!! :)
The points (0, 3) and (4, -1) are on the graph of y = -x + 3.
I have a site that I use a lot that is perfect for problems like these. It's called Desmos.com. It's basically a free online graphing calculator that is super helpful for most problems relating to graphs.
