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yaroslaw [1]
2 years ago
5

Graph f(x)=2^x+1 and g(x)=-x+4 on the same coordinate plane what is the solution to the equation f(x)=g(x)

Mathematics
1 answer:
Leona [35]2 years ago
3 0

Answer:

  x = 1

Step-by-step explanation:

The graph shows the curves cross at x=1.

The solution is x = 1.

__

<em>Additional comment</em>

I personally find it more convenient to look for the zeros (x-intercepts) of the difference f(x)-g(x). That way, I'm only graphing one function, and I don't have to look all over the graph to try to find the point of intersection. (The solution is always on the x-axis.) The attached graph shows f(x) - g(x) as a dashed green line.

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Law of cosines.Anyone good in Trigonometry?​
marin [14]

Answer:

c=11.8\ units

Step-by-step explanation:

we know that

The formula of law of cosines is equal to

c^2=a^2+b^2-2(a)(b)cos(C)

where

a, b and c are sides. C is the angle opposite side c

In this problem we have

a=3\ units\\b=10\ units

C=120^o

substitute the given values

c^2=3^2+10^2-2(3)(10)cos(120^o)

c^2=109-(60)cos(120^o)

c^2=109-(60)(-0.5))

c^2=109+30

c^2=139

c=11.8\ units

3 0
3 years ago
One angle measure in an acute triangle is 38°. What could the measure of one of the other angles be?
Oksi-84 [34.3K]
If is an acute triangle, all the angles should be acute angles.
180-38=142°
142-69=73°
So your answer is 69°, lovely~
3 0
3 years ago
Read 2 more answers
Help please asap. best answer gets brainliest.
schepotkina [342]

Answer:

Step-by-step explanation:

4 is coefficient

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12 is constant

5 0
3 years ago
Read 2 more answers
Help me <br> How do u do this
Anna71 [15]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
when a spherical balloon is filled with air, it has a radius of 3 inches. what is the estimate for the volume of air in the ball
Crazy boy [7]

The volume of a sphere is given by the equation V=\frac{4}{3} \pi r^{3}, where V is the volume and r is the radius.


To answer this question, simply plug the correct values into the equation:

V=\frac{4}{3} \pi 3^{3} \\V=4.1888(27)\\V=113.0976


The volume of the air in the balloon is about 113.0976 in3.


Hope this helps!!

7 0
3 years ago
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