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tatuchka [14]
3 years ago
12

G(t) = -2t + 3f(t) = 2t - 5 Find (g f)(t)

Mathematics
1 answer:
Tanzania [10]3 years ago
3 0

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

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| x - 1 | = 5x + 10<br> Check for extraneous solutions.
Ronch [10]
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
8 0
2 years ago
Read 2 more answers
HElP ME!!!!!!! PLS!!!!
ra1l [238]

Answer:

Each bag will get 5 candy canes and 3 cookies.

Step-by-step explanation:

Find the divisors of both numbers

75 = 1,75 : 3,25 : 5,15 : 15,5 : 25,3 : 75,1

45 = 1,45 : 3,15 : 5,9 : 9,5 : 15,3 : 45,1

Since the largest common divisor is 15, we want to use 15.

Each bag will get 5 candy canes and 3 cookies.

4 0
2 years ago
Solve the equation -9v-9=-27 for v.
Nikolay [14]

Answer:

v=2

Step-by-step explanation:

-9v-9=-27

add nine to both sides

-9v-9+9=-27+9

simplify

-9v=-18

divide both sides by -9

-9v/-9   -18/-9

simplify y=2

hope this helps :) have a nice day !!

4 0
3 years ago
Read 2 more answers
Help mee A scout troop are hiking in a forest. Starting from their base, they walk 4.2km south followed by 7.1km west. They want
slega [8]

Answer:

They should walk on a bearing of 59.4 degrees

Step-by-step explanation:

Given

South = 4.2km

West = 7.1km

Required

The bearing back to the base

The given question is illustrated with the attached image.

To do this, we simply calculate the measure of angle a using:

\tan(a) = \frac{Opposite}{Adjacent}

\tan(a) = \frac{7.1}{4,2}

\tan(a) = 1.6905

Take arctan of both sides

a = \tan^{-1}(1.6905)

a = 59.4^o

4 0
3 years ago
Find the slope of the line through the given points
coldgirl [10]
I can’t solve all of them but maybe one and I will give you the formula for you to solve the rest.
Slope = (y2 -y1) / (x2 -x1).
m= ( 16 -(-3)) / ( -14 -(-9))
m = (16+3)/(-14+9)
m = 19/ -5
7 0
2 years ago
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