Which inequality represents all the values of x for which the product below is defined?x

A: x≥-1
B: x≥4
C:x≤4
D:x≥0

Answers

Answer 1
Answer:

Answer:

x≥0 is correct inequality.

D is correct.

Step-by-step explanation:

We are given a function f(x)=x√(x)-4√(x)+1

We need to find x where function is defined.

As we know negative inside the root not defined.

Inside the root value must be greater than equal to 0.

Here we have inside the root is x.

Therefore, x must be greater than equal to 0.

Inequality:  x≥0

Please see attached graph for more clarification.

Hence, x≥0 is correct inequality.

Answer 2
Answer:

Answer:

x is greater than or equal to 4 (x>_4)

Step-by-step explanation: a p e x


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Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week. Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? A) Amanda's method is linear because the number of minutes increased by an equal number every week. B) Billy's method is linear because the number of minutes increased by an equal factor every week. C) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week. D) Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.
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Which is closest to 0.5? 0.4, 0.505, 0.449, 0.48 or 0.53?

Which of the following is true about a nonlinear function?It has a constant rate of change.
It can be curved.
It looks like a straight line.
It must cross the origin.

Answers

it is not straight and does not always pass through 0,0
so A, C, and D are incorrect.

Look up nonlinear function, and it shows a curved line.

The answer is B. It can be curved.

Answer:

All you had to know to get this right is that a Linear Function is a straight line and a Nonlinear Function has a curve to it :)

~Hope this helped.

What two numbers multiply together equal -40 add together to equal positive 6

Answers

-4 and 10 add to 6 and have a product of -40.

Hope this helps :)

Circle R has a radius of 6, and QP is tangent to circle R at point Q. Also, QP = 8. (a) What is the measure of ∠RQP ? Explain your answer. (b) What is the length of RP ? Explain your answer. (c) What is the length of RS ? Explain your answer. (d) What is the length of SP ? Explain your answer.

Answers

RQ = 6; RS = 6 ; these are radius

The triangle formed is right triangle. ∠RQP = 90°

QP = 8 ; this is the long leg.
RQ = 6; this is the short leg
RP = ? is the hypotenuse

a² + b² = c²
8² + 6² = c²
64 + 36 = c²
100 = c²
10 = c

The hypotenuse is 10, but RS is part of the hypotenuse, it has a measure of 6.

6 + x = 10
x = 10 - 6
x = 4   length of SP


Explain the different ways it is possible to add two rational numbers and get a negative number

Answers

Answer:
both numbers are negative
negative number is greater than the positive number

Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
(-1)/(2) +   (-3)/(2) =  (-4)/(2) = -2

2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
(-5)/(6) +  (2)/(6) =  (-3)/(6)

Hope this helps :)

-- If both of them are negative,

or

-- If their signs are different and the negative number has
a bigger absolute value than the positive one,

then

-- Their sum is negative.

Actually, I don't think it matters whether they're rational or not.

Raju is x years old, his father is 3 years more than twice his age.find his fathers age?

Answers

x - Rajus age

2x + 3 - fathers age
raju=x
father =3 more than (3+) twice his age (2x)
father=2x+3

In a company, the ratio of men to the number of woman is 3:2. 40% of the men are under the age of 25. 10% of the women are under the age of 25. What percentage of all the people in the company are under the age of 25?

Answers

Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.