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valentina_108 [34]
4 years ago
14

Given f(x)=4x^2-9 and g(x)=2x+3 find each function or value (f-g)(4)

Mathematics
1 answer:
yulyashka [42]4 years ago
4 0
(f-g)(x) = 4x²-2x-12 which,evaluated at x=4, gives 64-8-12=44
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Two cars leave towns 360 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hou
mixer [17]
Let x = speed of the first car

the second car is 12 km slower so the seconds car speed is x-12

 they each drove 2 hours so 1st car = 2x
2nd car = 2(x-12)
 
they drove 360 km
 so you have 2x + 2(x-12) = 360
 solve for x

2x+2(x-12) = 360

2x + 2x-24 = 360

4x-24 = 360

4x = 384
x = 384/4
x = 96

1st car drove at 96 km per hour

slower car drove at 96-12 = 84 km per hour



5 0
4 years ago
In the standard (x,y) coordinate plane, point M with coordinates (5.4) is the midpoint of AB, and B has coordinates (7.3). What
SSSSS [86.1K]
(3,5) as x+7/2=5 and y+3/2=4
4 0
3 years ago
What is the distance between (-6, 2) and (8, 10) on a coordinate grid?
lawyer [7]

Answer:

The answer is 2(the square root of 65 )

Step-by-step explanation:

Plug ( -6, 2) and (8, 10) into the distance formula and solve.

Distance = the square root of ((x2 - x1)^2 + (y2 - y1)^2))

Distance = the square root of ((8 - -6)^2 + (10 - 2)^2))

Distance = the square root of (14^2 + 8^2)

Distance = the square root of (196 + 64)

Distance = the square root of 260 which can be simplified to 2(the square root of 64)

5 0
4 years ago
The weight, w, of a spring in pounds is given by 0.9 times the square root of the energy, E, stored by the spring in joules. If
stira [4]
The is the concept of algebra, the weight of the spring can be modeled by the equation;
w=0.9sqrt E
where;
=energy in joules;
thus the weight of the spring when the energy is 12 j will be:
w=0.9sqrt12
w=3.18 g
4 0
4 years ago
If speed varies inversely as the time it takes to drive and Kris takes 5 hours driving at 55 mph, what speed will Martin need to
Fudgin [204]

Answer:

<em>55mph . None of the options are correct </em>

Step-by-step explanation:

If the speed varies inversely as the time it takes to drive, then v ∝ 1/t. where;

v is the speed

t is the time taken

Hence;

v = k/t with k being the constant of proportionality.

Since it takes Kris 5 hours when driving at 55 mph, we will substitute v = 55mph and t = 5 hours. into the equation above to get the value of k as shown:

55 = k/5

Cross multiply

k = 55*5

k = 275

Hence, to calculate the speed it will Martin to  drive for 5 hours, we will substitute k = 275 and t = 5 into the original equation v = k/t  as shownl

v = 275/5

v = 55 mph

<em>Hence, we can conclude that Martin will also need to drive at a speed of 55mph if he wants to take 5hours.</em>

3 0
3 years ago
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