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Aloiza [94]
4 years ago
14

H(x)=|8x+8| Find functions f and g so that f of g = H

Mathematics
1 answer:
Stolb23 [73]4 years ago
5 0

<span>f(x) = x^3 </span>
<span>g(x) = 1+x^2 </span>

<span>Therefore: </span>
<span>H(x) = f[g(x)] = (1+x^2)^3 </span>
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The speed of the current in a certain stream is 6 mph. If a boat travels 94 miles
Katyanochek1 [597]

Answer: The trick to this question is twofold:

Spot that 94 is double 47. Therefore when going downstream, the speed of the boat relative to the earth is double it's speed going upstream as it covers double the distance in the same time.

Understand that whatever the speed of the boat is, when going downstream it's speed relative to the earth is 6mph greater than speed relative to the water, and conversely when going upstream, earth speed is 6mph less than water speed.

So, if the speed through the water is X, upstream speed is (X-6) and downstream speed is (X+6).

Now, we know that upstream speed is double downstream speed, so:

Double (x-6) is equal to (X+6)

Or:

2(x-6)=(X+6)

5 0
2 years ago
Help help help help help help help help help help help plsss
pashok25 [27]
Answer:

480 miles

Step-by-step explanation:

*please stop titling your questions as: “Help help help help help help help help help help help plsss” thank you*

120/1.5 = 80

80 x 6 = 480

It can travel 480 miles in 6 hrs.
4 0
3 years ago
Read 2 more answers
A free kick is given in a soccer game where the player taking the kick is 14 yards from the left post. The goalie is standing on
JulsSmile [24]

How far is the kicker from the right post, to the nearest yard is: 23 yards.

<h3>Distance</h3>

Using sine theorem

Let y represent the numbers of yards

Left triangle=3/sinx=14/sin∝

Right triangle=5/sinx=y/sin(180-∝°)

sin∝°=sin(180-∝°)

Hence,

3/5=14/y

y=5×14/3

y=23 yards

Therefore how far is the kicker from the right post, to the nearest yard is: 23 yards.

Learn more about distance here:brainly.com/question/23848540

#SPJ1

4 0
2 years ago
110 is 45% of what number
aev [14]

Answer:49.5

Step-by-step explanation:

To find the 45% of 110

45/100×110

=49.5

5 0
3 years ago
Read 2 more answers
The equation of a circle is given below.
alisha [4.7K]

Coordinates of center and radius of circle is  (h,k)=(13.40,-2.60)\\r=10 .

<u>Step-by-step explanation:</u>

Here we have , The equation of a circle is given below.

(2 – 13.4)2 + (y + 2.6)2 = 100 or , (x -13.4)^2 + (y + 2.6)^2 = 100

We know that , Equation of circle is given by :

⇒ (x-h)^+(y-k)^2 =r^2  ...........(1)

where (h,k) are the coordinates of center of circle and r is the radius of circle . Let's simplify given equation of circle in question ;

⇒  (x -13.4)^2 + (y + 2.6)^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 100

⇒  (x -(13.4))^2 + (y - (-2.6))^2 = 10^2

Comparing this equation to (1) we get :

(h,k)=(13.40,-2.60)\\r=10

Therefore , Coordinates of center and radius of circle is (h,k)=(13.40,-2.60)\\r=10 .

4 0
3 years ago
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