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gizmo_the_mogwai [7]
3 years ago
8

If f(x) = x/2-3 and g(x) = 4x2 + x - 4, find (f+ g)(x).

Mathematics
1 answer:
snow_tiger [21]3 years ago
8 0

Answer:

(f+g)(x) = 4 x^2 + (3/2) x - 7

Answer (c) on your list

Step-by-step explanation:

f+g (x) = f(x) + g(x) = x/2 - 3 + 4 x^2 + x - 4

combine the terms in "x" = x/2 + x = (3/2)x

combine the numerical terms: - 3 - 4 = - 7

Then the final expression is:

(f+g)(x) = 4 x^2 + (3/2) x - 7

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jonny [76]

Answer:

y = - 17/3

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

And if you find my answer helpful, please consider marking it Brainliest

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Each letter of the alphabet is printed on an index card. What is the theoretical probability of randomly choosing any letter exc
kicyunya [14]
Probability=(number of specific outcomes)/(total number of possible outcomes)

P(!Z)=25/26  as a fraction exact

P(!Z)≈96.2%  (approximation to nearest tenth of a percent)
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AnnyKZ [126]

Answer:

4

Step-by-step explanation:

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3 years ago
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Miguel runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes
Karo-lina-s [1.5K]
You can write this in a proportion way: 6/55 = x/44.
Multiply both sides by 11 to get rid of the 55 and 44: 6/5 = x/4
Now, multiply both sides by 20: 5x = 24. x = 4.8

Therefore, he can run 4.8 miles in 44 minutes.
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3 years ago
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Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

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3 years ago
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