Answer:
49
Step-by-step explanation:
substitute b = - 6 and c = 7 into the expression and evaluate
c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49
I found 37.4 m.
I tried using trigonometry and the tangent of an angle (in this case 39°):
<em>Please refer to the attachment for the answer and explanation. Hope it helps!!</em>
Answer:

Step-by-step explanation:
![\sf{3[ x + 3(4x - 5)] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%203%284x%20-%205%29%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒![\sf{3[ x + 12x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%20x%20%2B%2012x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Collect like terms : 12x and x
⇒![\sf{3[ 13x - 15 ] = 15x - 24}](https://tex.z-dn.net/?f=%20%5Csf%7B3%5B%2013x%20-%2015%20%5D%20%20%3D%2015x%20-%2024%7D)
Distribute 3 through the parentheses
⇒
Move 15x to left hand side and change it's sign
Similarly, move 45 to right hand side and change it's sign
⇒
Collect like terms
⇒
Calculate
⇒
Divide both sides of the equation by 24
⇒
Calculate
⇒
Hope I helped!
Best regards! :D
Answer:
A. (-∞, ∞)
Step-by-step explanation:
f circle g (x) is another way of expressing f(g(x)). Basically, we have to plug g(x) into f(x) wherever we see x's.
f(x) = x^2 - 1
f(x) = (2x-3)^2 - 1
Now find the domain. I think the easiest way to do this is to graph it. I've attached the graph. You can also do it algebraically by thinking about it: it's a positive parabola (+x^2) and its minimum is -1, so its range will not be all real numbers, but its domain will certainly be. (The range would be answer choice B!)
Domain = (-∞, ∞)