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SIZIF [17.4K]
3 years ago
15

For f(x)=4x+1 and g(x) = x2-5, find (f+g)(x) A. x2+4x-4 B. x2+4x+6 C. 4x2-19 D. 4x3-4

Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

A

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) , thus

f(x) + g(x)

= 4x + 1 + x² - 5 ← collect like terms

= x² + 4x - 4 → A

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What is 9/12 in simplest form
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Solutions 

⇒9/12 

1) To see if 9/12 is in simplest form you have to find 9 and 12's GCF. 
The GCF of 9 and 12 is 3 

2) Divide by the GCF
9 ÷ 3 = 3
12 ÷ 3=  4 

3/4 is answer 
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3 years ago
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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the leng
ExtremeBDS [4]

Answer:

<h2>The right option is twelve-fifths</h2>

Step-by-step explanation:

Given a right angle triangle ABC as shown in the diagram. If ∠BCA = 90°, the hypotenuse AB = 26, AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

The right option is therefore twelve-fifths

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3 years ago
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Given m||n, find the value of x.<br> t<br> (7X+7)<br> (2x+2)
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Answer:

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Answer:

what does the picture say?

Step-by-step explanation:

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g Bonus: Assume that among the general pediatric population, 7 children out of every 1000 have DIPG (Diffuse Intrinsic Pontine G
patriot [66]

Answer:

0.9586

Step-by-step explanation:

From the information given:

7 children out of every 1000 children suffer from DIPG

A screening test designed contains 98% sensitivity & 84% specificity.

Now, from above:

The probability that the children have DIPG is:

\mathbf{P(positive) = P(positive \  |  \ DIPG) \times P(DIPG) + P(positive  \ | \  not \DIPG)\times P(not  \ DIPG)}= 0.98\imes( \dfrac{7}{1000}) + (1-0.84) \times (1 - \dfrac{7}{1000})

= (0.98 × 0.007) + 0.16( 1 - 0.007)

= 0.16574

So, the probability of not having DIPG now is:

P(not \ DIPG \  |  \ positive) = \dfrac{ P(positive  \ | \  not DIPG)\timesP(not \  DIPG)} { P(positive)}

=\dfrac{ (1-0.84)\times (1 - \dfrac{7}{1000}) }{ 0.16574}

=\dfrac{ 0.16 ( 1 - 0.007) }{0.16574}

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8 0
3 years ago
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