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4 years ago

The following graph shows the functions f(x) and g(x):

Mathematics

2 answers:

salantis [7]4 years ago

6 0

<span>The function g(x) is obtained by adding 3 to f(x).

The vertex of f(x) is at (0,0), and the vertex of g(x) is at (0,3). This means that 3 points should be adding to f(x) to achieve g(x); this shifts f(x) upwards 3 points.</span>

liberstina [14]4 years ago

4 0

Answer:

The function g(x) is obtained by adding 3 to f(x).

Step-by-step explanation:

We have been given the graph of two functions.

So, we can see that the f(x) has its vertex at the origin and after some transformation the graph is shifted upwards vertically by 3 units or which is shifted 3 units up.

So, the graph of g(x) has the vertex (0,3).

So, the function g(x) is obtained by adding 3 to f(x).

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Make a tree diagram and find each probability.

Dafna11 [192]

Answer: a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

$P(F)=0.70$

Probability of a light drizzle is given by

$P(D)=0.30$

Probability of getting canceled a softball game due to light drizzle is given by

$P(C\mid D)=0.80$

Probability of getting canceled a softball game due to heavy fog is given by

$P(C\mid F)=0.30$

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

$P(C)=P(F)\times P(C\mid F)+P(D)\times P(C\mid D)\\\\P(C)=0.70\times 0.30+0.30\times 0.80\\\\P(C)=0.45\\\\P(C)=45\%$

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

$P(C'\mid D)=1-P(C\mid D)\\\\P(C'\mid D)=1-0.80\\\\P(C'\mid D)=0.20\\\\P(C'\mid D)=20\%$

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

8 0

3 years ago

Amanda [17]

Answer:

true

Step-by-step explanation:

4 0

3 years ago

Miriam took a taxi from her home to school. The taxi driver charged an initial fee of $4.50 plus $2 per mile. The total fare was

jekas [21]

Answer:

8 miles

Step-by-step explanation:

$20.50-$4.50= $16

$16/$2= 8 miles

Hope this helped! :)

7 0

3 years ago

Solve the system using substitution y=2x+10 y=x+8

kvv77 [185]

Answer:

x = -2

Step-by-step explanation:

x+8 = 2x +10

-2x + x = 10-8

-x = 2

divide both side by -1

answer -- x = -2

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3 years ago

ASAP!<br> Write two different phrases that can both mean 5t - 4 = 1.

s344n2d4d5 [400]

The difference between five times the number and four is one

Subtracting four from five times a number will result you to one

4 0

3 years ago