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creativ13 [48]
3 years ago
6

If f(x)=2x-6 and g(x)=3x+9, find (f+g)(x)

Mathematics
1 answer:
anyanavicka [17]3 years ago
7 0

Answer:

<em>(f+g)(x) </em>= 5x + 3

Step-by-step explanation:

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Suppose a random sample of 25 students is selected from a community college where the scores in the final exam (out of 125 point
BartSMP [9]

Answer:

he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050

Step-by-step explanation:

mean = 112

sd = 12/sqrt(25) = 2.4

z = (x - μ)/σ

z = (116 - 112)/2.4 = 1.67

Therefore,

P(X >= 116) = P(z <= (116 - 112)/2.4)

= P(z >= 1.67)

= 1 - 0.9525

= 0.0475

z = (x - μ)/σ

z1 = (108 - 112)/2.4 = -1.67

z2 = (116 - 112)/2.4 = 1.67

Therefore, we get

P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)

= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)

= 0.9525 - 0.0475

= 0.9050

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%28%20%5Cfrac%7B1%7D%7B2%7D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%20%20%20%5Cfrac%7B1%7D%7B2%7D%20ab
Zigmanuir [339]

Answer:

\frac{1}{2} (a + 2b)(a - b)

Step-by-step explanation:

Assuming you require the expression to be factored

Given

\frac{1}{2} a² + \frac{1}{2} ab - b² ← factor out \frac{1}{2} from each term

= \frac{1}{2} (a² + ab - 2b²) ← factor the quadratic

Consider the factors of the coefficient of the b² term(- 2) which sum to give the coefficient of the ab- term (+ 1)

The factors are + 2 and - 1, since

2 × - 1 = - 2 and 2 - 1 = + 1, thus

a² + ab - 2b² = (a + 2b)(a - b) and

\frac{1}{2} a² + \frac{1}{2} ab - b² = \frac{1}{2}(a + 2b)(a - b)

5 0
3 years ago
Please help me! I only have a short amount of time!
erastovalidia [21]

Answer:

Radius: 4.2cm

Diameter: 8.4cm

Step-by-step explanation:

Radius is half of the diameter.

In order to find the diameter, you would have to multiply the radius by 2.

In order to find the radius, you would have to divide the diameter by 2.

8 0
3 years ago
You are laying an asphalt driveway. How much surface area must you cover if the driveway is 19 feet long and 10.5 feet wide?
Scorpion4ik [409]

Assuming that your driveway is rectangular, just mult. the length and width together to get the area:

(19 ft)(10.5 ft) = 199.5 ft^2

C is the correct answer choice.


7 0
3 years ago
Read 2 more answers
Write a story about temperatures that this expression could represent: ½ + (-¾)
lara31 [8.8K]

Answer:

boom

Step-by-step explanation:

4 0
3 years ago
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