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Lorico [155]
3 years ago
13

If f(x) = x2 and g(x)= 3x + 1, which expression represents g(f(x))?

Mathematics
1 answer:
Romashka [77]3 years ago
6 0

Answer:

g(f(x)) =3(x2)+1

Step-by-step explanation:

g(f(x)) means substitute f(x) in the eqn g(x)

That is anywhere you see x2, use it to replace x in the eqn g(x)

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Pls can probability be expressed as percentage ​
tia_tia [17]
You can write it as a percentage, because people like to talk about probability as a percentage chance, or you can put it in the form of odds. The term “odds,” however, isn't exactly the same as probability. Odds refers to the ratio of the denominator of a probability to the numerator of a probability.
7 0
2 years ago
8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin
Kazeer [188]

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using  E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }

Where n=60 is the sample size and \sigma=16 is the population standard deviation.

The critical value corresponding to 95% confidence interval is z_{\frac{\alpha}{2}}=1.96

We substitute the values to obtain;

E=1.96*\frac{16}{\sqrt{60} }

E=1.96*2.06559=4.0486

3 0
3 years ago
Find the coordinates of the midpoint of a segment with the given endpoints. A (-1, 4) and B (-5, -2)
ANEK [815]

Step-by-step explanation:

solution,

midpoint between A(-1,4) and B(-5,-2)=

(X1 + X2 ÷2, Y1 + Y2 ÷2)

=(-1-5÷2 , 4-2)

=(-6÷2 ,2÷2)

=(-3 , 1)

therefore the midpoint between A(-1,4) and B(-5 ,-2)=(-3,1)

8 0
3 years ago
Easy math question please help
kondaur [170]

Answer:

B

Step-by-step explanation:

2x-3=7

Add 3 to both sides:

2x=10

Divide both sides by 2:

x=5

Hope this helps!

5 0
3 years ago
Read 2 more answers
17. Farimah and Helio are standing 15 ft. apart from each other and looking up at a kite that is with the flying between them. F
miss Akunina [59]

Answer:

Helio is 53.2 feet from the kite ⇒ the last answer

Step-by-step explanation:

* Lets change this story problem to a trigonometry problem

- Assume that there is a triangle joining between the

 kite, Farimah and Helio

- The name of the triangle is KFH, where K position of the kite,

 F position of Farimah and H is the position of Helio

∵ Farimah and Helio are standing 15 feet apart from each other

∴ FH = 15 feet

∵ Farimah is flying the kite on a 57 feet string at an angle

 of 68 with the ground

∴ FK = 57 feet

∴ m∠KFH = 68°

∵ We need to know that Helio is how far from the kite

∴ We need to calculate the length of KH

* Now lets find the best way to find the length of KH

 using the trigonometry

- We have the length of two sides and the measure of the included

 angle between them , then the best way is the cosine Rule

* Lets explain the cosine rule:

- In ΔABC:

∵ a is the length of the side opposite to ∠A ⇒ a is BC

∵ b is the length of the side opposite to ∠B ⇒ b is AC

∵ c is the length of the side opposite to ∠C ⇒ c = AB

∴ a² = b² + c² -2bc × cos(A)

∴ b² = a² + c² -2ac × cos(B)

∴ c² = a² + b² -2ab × cos(C)

* We will use the rule in our problem to find HK

∵ FH is k , HK is f , KF is h

∴ f² = h² + k² - 2hk × cos(F)

∵ h = 57 feet , k = 15 feet , m∠F = 68°

∴ f² = (57)² + (15)² - 2(57)(15) × cos(68) = 2833.4227

∴ f = √2833.4227 = 53.2 feet

* Helio is 53.2 feet from the kite

 

7 0
3 years ago
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