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Vladimir [108]
3 years ago
12

Which answer describes the transformation of f(x)=x2−1 to g(x)=(x+4)2−1 ?

Mathematics
1 answer:
spayn [35]3 years ago
6 0
A horizontal translation 4 units to the left
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A bag contains: 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn fr
sesenic [268]

Step-by-step explanation:

green = 3/20

black = 4/20 = 1/5

3 0
3 years ago
A partir del término general, calcular los 4 primerostérminos. (Considere que debe asignar
Scorpion4ik [409]

Answer:

4,7,12,19,...

Step-by-step explanation:

<u><em>The question in English is:</em></u>

From the general term, calculate the first 4 terms.  

(Consider that you must assign values to the variable n)

we have

b_n=n^2+3

step 1

Calculate the first term

For n=1

b_1=(1)^2+3=4

step 2

Calculate the second term

For n=2

b_2=(2)^2+3=7

step 3

Calculate the third term

For n=3

b_3=(3)^2+3=12

step 4

Calculate the fourth term

For n=4

b_4=(4)^2+3=19

therefore

the first 4 terms are

4,7,12,19,...

4 0
3 years ago
For f(x)=3x+1 and g(x)=(x^2)-6, find (f+g)(x).
Anon25 [30]

f(x)=3x+1;\ g(x)=x^2-6\\\\(f+g)(x)=(3x+1)+(x^266)=3x+1+x^2-6=x^2+3x+(1-6)\\\\=\boxed{x^2+3x-5}

3 0
3 years ago
Read 2 more answers
A water park sold 14 child tickets and 6 adult tickets. What percentage of
steposvetlana [31]
Total tickets sold :
14 + 6 = 20

fraction of child tickets sold = 14/20

then, we convert this fraction to %.

14/20 = 70/100
( multiply by 5 )

percentage = 70%
5 0
3 years ago
Read 2 more answers
The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviati
DochEvi [55]

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

4 0
3 years ago
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