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statuscvo [17]
3 years ago
8

Given two functions f(x)=2x+1 and g(x)=−13x−3 , what is the function rule for (f+g)(x)

Mathematics
2 answers:
Tju [1.3M]3 years ago
5 0

Answer:

(f+g)(x)=5/3x−2

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

f(x)=2x+1 + g(x)=−1/3 x−3

add like terms

2x+(-1/3 x)=5/3 x

1+(-3)= -2

so...

(f+g)(x)=5/3 x−2

raketka [301]3 years ago
3 0

Answer:

- 11x - 2

Step-by-step explanation:

note that (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= 2x + 1 - 13x - 3 ← collect like terms

= - 11x - 2

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#1 and #2 both equal 30 or x=30
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Which expression has the value f 9/20
liubo4ka [24]

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Step-by-step explanation:

I calculated to find the answer

6 0
2 years ago
Pablo is on a road trip which will cover a distance of 840 miles. He plans to break the trip up and will complete it over three
Colt1911 [192]

Answer: 2.87 hours

Step-by-step explanation:

There may be a typo in the question because 55 hours in a day is not logical so you must have meant 5.5 hours.

In that case, the hours he will require on the third day would require the distance left to calculate. Get this distance from the first 2 days.

Day 1 distance travelled = Time * Speed

= 5.5 * 66

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Day 2 distance travelled = Time * Speed

= 5.5 * 58

= 319 miles

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Travelling at 55 miles per hour, the time to be taken is:

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= 158 / 55

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8 0
2 years ago
A ship leaves port on a bearing of 34.0 and travels 10.4 mi. the ship then turns due east and travels 4.6mi. how far is the ship
Natasha2012 [34]
A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)

The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi

the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles

It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
90-39.6=50.4°
6 0
3 years ago
X² + y² = 36<br> State the domain and range of the relation
meriva

Answer:

Domain: from -6 to 6, inclusive

Range: from -6 to 6, inclusive

Step-by-step explanation:

It's a circle centred at origin with radius 6

4 0
2 years ago
Read 2 more answers
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