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2 years ago

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The graph of y = is reflected over the y-axis and then translated down 2 units to form f(x). Which is the graph of f(x)? please

help!

1 answer:

Rom4ik [11]2 years ago

5 0

Answer:

I think the answer is option b

Step-by-step explanation:

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Multiple 7/9 to the sum of 8 3/7 and 5 11/14

Brums [2.3K]

$\frac{7}{9} \times (8 \frac{3}{7} + 5 \frac{11}{14}) = \\$

$\frac{7}{9} \times (8 \frac{6}{14} + 5 \frac{11}{14} ) = \\$

$\frac{7}{9} \times (13 \frac{6 + 11}{14}) = \\$

$\frac{7}{9} \times (13 \frac{17}{14}) = \\$

$\frac{7}{9} \times (14 \frac{3}{14}) = \\$

$\frac{7}{9} \times ( \frac{14 \times 3 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{42 + 3}{14}) = \\$

$\frac{7}{9} \times ( \frac{45}{14}) = \frac{7 \times 45}{9 \times 14} = \frac{5}{2} \\$

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4 0

2 years ago

Read 2 more answers

Central school is hosting a “central has talent” show. They will award various prizes for the best 3 acts in the show. First pla

Serjik [45]

Well you didn't post the expressions but let X be the amount of money for first place. This means X-50 would be the amount of second place because <span>each subsequent place after 1st wins $50 less than the previous place. Thirds, would be X-50-50 or X-100

Thus the total amount of money would be all of the values combined which is X+X-50+X-100=3X-150
</span>

8 0

2 years ago

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of <em>X</em> is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable <em>X</em> as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

2 years ago

Jayden has some dimes and some quarters. He has at most 25 coins worth at least $4.60 combined. If Jayden has 7 dimes, determine

Y_Kistochka [10]

Answer:

Step-by-step explanation:

A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1

A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25

Let x represent the number of dimes that Jayden has.

Let y represent the number of quarters that Jayden has.

Jayden has some dimes and some quarters. He has at most 25 coins. It means that

x + y ≤ 25

The coins worth at least $4.60 combined. It means that

0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1

If Jayden has 7 dimes, then

7 + y ≤ 25

y ≤ 25 - 7

y ≤ 18

Substituting x = 7 into equation 1, it becomes

0.1 × 7 + 0.25y ≥ 4.6

0.7 + 0.25y ≥ 4.6

0.25y ≥ 4.6 - 0.7

0.25y ≥ 3.9

y ≥ 3.9/0.25

y ≥ 15.6

All possible values for the number of quarters that he could have would be

15.6 ≤ y ≤ 18

6 0

1 year ago

A carpenter bought 4 boxes of nails. Each box weighed 3 and 2/5 pounds. The price of the nails was $8 per pound. How much did th

neonofarm [45]

Answer:

108.80

Step-by-step explanation:

8 0

1 year ago