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2 years ago

VERTICAL STRETCHES AND SHRINKS OF THE SQUARE ROOT FUNCTION

Mathematics

1 answer:

Studentka2010 [4]2 years ago

4 0

Answer:

all real numbers greater than or equal to zero

Step-by-step explanation:

The domain of the real function f(x) = sqrt(x) is

all real numbers greater than or equal to zero

because when x < 0, then f(x) will become complex, which does not belong to a real function.

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Five times the difference of twice a number and seven is negative twenty-five. Find the number.

Sati [7]

The number is 1

Step-by-step explanation:

Let x be the required number

Then according to given statement

Five times the difference of twice a number and seven is negative twenty-five.

$5(2x-7) = -25$

Simplifying

$10x-35 = -25\\$

Adding 35 on both sides

$10x-35+35 = -25+35\\10x = 10$

Dividing both sides by 10

$\frac{10x}{10} = \frac{10}{10}\\x = 1$

Verification:

$5[2(1)-7] = -25\\5(2-7) = -25\\5(-5) = -25\\-25=-25$

Hence,

1 is the number

Keywords: Linear equation

Learn more about linear equation at:

#LearnwithBrainly

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2 years ago

The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that

ICE Princess25 [194]

Answer:

The probability that event B will occur is 0.45

Step-by-step explanation:

Given;

probability that event A occurs, P(A) = 0.4

the probability that events A and B both occur, P(A ∩ B) = 0.25

the probability that either event A or event B occurs, P(A ∪ B) = 0.6

To determine the probability that event B will occur, we use probability addition rule;

P(A) + P(B) = P(A ∩ B) + P(A ∪ B)

0.4 + P(B) = 0.25 + 0.6

0.4 + P(B) = 0.85

P(B) = 0.85 - 0.4

P(B) = 0.45

Therefore, the probability that event B will occur is 0.45

4 0

2 years ago

there are 82 people in a survey who like vanilla ice cream. if 2 out of every 5 people surveyed like vanilla ice cream, how many

Anton [14]

82 / (2/5) = 82*5/2 = 205 people

7 0

3 years ago

The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam

irina [24]

Answer: a) (1008.34,1019.658) b) (1009.24,1018.76)

Step-by-step explanation:

Since we have given that

n = 75

mean = 1014 hours

Standard deviation = 25 hours

At 95% two sided , z = 1.96

So, confidence interval would be

$\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)$

(b) Construct a 95% lower confidence bound on the mean life.

z = 1.65

So, confidence interval would be

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)$

Hence, a) (1008.34,1019.658) b) (1009.24,1018.76)

4 0

3 years ago

Evaluate the expression as a fraction in simplest form -3.75*.8333-2.333

Ronch [10]

Answer:

-5.457875

Step-by-step explanation:

5 0

2 years ago