For which values of x does each expression make sense? √(-2x)^2

Answers

Answer 1

We want to see for which values of x does the rational expression make sense. We will see that the expression makes sense for x ≤ 0

We know that the argument of a square root can only be a real number equal to or larger than zero.

In this case, we have the expression:

[tex]\sqrt{(-2x)^2} = (\sqrt{-2x} )^2[/tex]

One would want to directly cancel the square root with the 2 exponent, but we can't do that, because in the right-side expression we would have a complex number if the argument is smaller than zero.

The first thing we need to do is to make the argument equal or larger than zero:

-2x ≥ 0

x ≤ 0/-2

x ≤ 0

So the given expression only makes sense for x ≤ 0

If you want to learn more about rational expressions, you can read:

https://brainly.com/question/18545256

Answer 2

Answer: No, the answer is All Real Numbers

Step-by-step explanation: e


Related Questions

[tex]\sqrt{x} +1=3\\[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

√x + 1 = 3

√x = 3 - 1

√x = 2

(√x)² = (2)²

x = 4

-3=2/3(2) what is the answer

Answers

When adding, you only add the numerators. The denominator stays the same (Assuming the denominators are the same number). If not, then you will have to find a common denominator first. IN this case, the denominator is already the same. Add the numerator

2/3 + 2/3 = 4/3

Note that the answer gotten is an “improper fraction”, because the numerator is greater than the denominator. Simplify.

4/3 = 3/3 + 1/3

Divide: 3/3 = 1

1 + 1/3 = 1 1/3

1 1/3 is your mixed fraction answer (4/3 for improper fraction answer)

HELP THIS IS VERY IMPAORTANT

Answers

Answer:

The answer is the second option

Step-by-step explanation:

All you have to do is replace x with the data given.

Example: f(x) = 3[tex]x^{2}[/tex] - 6

x = 0 => f(x) = 3 x [tex]0^{2}[/tex] - 6 = 3 x 0 - 6 = -6

x = 1 => f(x) = 3 x [tex]1^{2}[/tex] - 6 = 3 x 1 - 6 = 3 - 6 = -3

x = 2 => f(x) = 3 x [tex]2^{2}[/tex] - 6 = 3 x 4 - 6 = 12 - 6 =  6

1) An airplane is at 10,000 feet above the ground. It needs to fly higher to reach the regular flying height. It increases its height at a constant rate of 2,000 feet per minute. How high will the plane be in 10 minutes?​

Answers

Answer:

20000

Step-by-step explanation:

Answer: 30,000 feet

Step-by-step explanation: We start with the 10,000 feet original height. From there, we can take 2,000 feet per minute and multiply it by 10 minutes. That gets us 20,000 feet. Add 20,000 to our original 10,000 and we get 30,000.

Use algebra to show that, for this machine, if x is a a-1
Help me please thank you 20 pts

Answers

Answer:

[tex]x = a - 1[/tex]

Step-by-step explanation:

from what you told me you put it in a formula

so I says it in a algebraic format

Maria decides to reduce her homework time of 8 hours per week by 15%. Calculate her new homework time. Give your answer in hours and minutes. ..

Answers

6 hours and 48 minutes

Between which two integers does the square root of 117 lie

Answers

Answer: 10 and 11 or -11 and -10

Answer:

Step-by-step explanation:

10 and 11 or -10 and -11

Will mark brainiest if right Is this function linear or nonlinear?

y=3x−5

Answers

Answer: This function is linear because it forms a straight line when graphed.

Would appreciate brainly <3

The distance around the edge of a circular pond is 88m. The radius,in meters,is?

Answers

Answer:

88/ 2π

Step-by-step explanation:

in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.

Answers

Answer:

0

Step-by-step explanation:

if x is 3 then;

3(3-1)=2×3+c

c=0

so if c=0 then

x=3

use a point on the number line to represent a number ot whose absulute vaue is?

Answers

Answer:

A

Step-by-step explanation:

Write an equation in point-slope form of
the line that has a slope of 2 and passes
through point (5,-3).

Answers

Answer:

(y+3)=2(x-5)

Step-by-step explanation:

____x0.01 = 180.4932
what's the answer?

Answers

18049.32

180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

Answers

Answer:

(-1, -6),  (7, 0) , and  (11, 3)

Step-by-step explanation:

3x - 4y = 21        Solve the equation for y

3x - 21 = 4y      

(3x - 21)/4 =  y  

Now use the ordered pair and find the true ordered pair

  (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

   (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

   (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

    (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

Solve for x then y.
y+10=-1/6(x-6)

Answers

Answer:

y= -x/6-9

x= -6y-54

Step-by-step explanation:

The slope of the line formed between point A and point C on the graph is 2/3

What is the slope of the line formed between point C and point E?

Answers

Answer:

B. 1/2

Step-by-step explanation:

i think

Which expression shows the distance on the number line between −3 and −10 ?

Answers

Answer:

D. |-3 - (-10)|

Step-by-step explanation:

solve for x

9 = x/12

Answers

Answer:

X=108

Step-by-step explanation:

Step-by-step explanation:

I have solved the answer in the attached image please ask if you have any query

the point (-2,6) is on a line with a slope of 3/4. If the point -8,k) is also on the same line what is the value of k

Answers

For a point with a slope 3/4 and which passes through the points  (-2, 6) and (-8, k), the value of k is 1.5

The line passes through the points (-2, 6) and (-8, k)

That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]

The slope of the line, m = 3/4

The formula for calculating the slope of a line is given as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute   [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above

[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]

Therefore, the value of k is 1.5

Learn more here: https://brainly.com/question/25613656

Which value of m is a counterexample for the following statement?

If m is an odd prime number, then m + 2 is also prime.

Group of answer choices

7

3

5

9

11

Answers

Answer:

3

Step-by-step explanation:

because 3 is a prime number and 3+2=5 which is also a prime number

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

Answers

Answer:

8p -12

Step-by-step explanation:

Expand & simplify 4 ( p + 3 ) + 4 ( p − 6 )

4(p + 3) +4(p - 6) =

4p + 12 + 4p - 24 =

8p -12

What is meaning of irrational exponents.

Answers

Answer:

Here

Step-by-step explanation:

Irrational exponents are non repeating or infinite decimals while rational exponents are rational numbers. The value of an irrational exponent when calculated is approximate in nature while the value of rational exponent is exact.

There are 22 tables in the cafeteria. Each table can seat 8 students.There are 4 lunch periods each day.How many students can the cafeteria seat each day?

Answers

Answer:

704 students can fit in the cafeteria a day

What is mRS?shown on the picture

Answers

Answer:

  RS = 80°

Step-by-step explanation:

The sum of the arcs of a circle is 360°.

  RS +ST +TR = 360°

  RS = 360° -ST -TR = 360° -130° -150°

  RS = 80°

HELP 35 POINTS

State the domain and range to each of these functions and determine function or not.

Answers

Answer:

see below

Step-by-step explanation:

2.x<1, y=all real numbers

3. -1<=x<=3 -3<=y<=2

4. x= all real numbers, y>-2

5. 7<=x<5, 3<=y<1

6.x>-4, y>-1

What is the answer to 3) 1 + 4x = −5 + 7x

Answers

Answer:

x = 2

Step-by-step explanation:

X=2 because

You subtract the one and carry it over to negative five which makes it negative 6 and it should be

4x = -6+ 7x

Subtract the 7x and carry it over to the 4x

And you should have

-3x=-6

And you divide by the negative 3 and since dividing a negative and negative gets a positive you should get this as your answer

X=2

Use the model to find the missing number in the pair of equivalent expressions.

15 + 9 = ?(5 + 3)

What number is missing from the expression?

Answers

Answer:

3

Reasoning:

[tex]3(5+3)=15+9[/tex]

Distribute three to the numbers to get 15+9.

Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.

Answers

Answer:

whaat?

Step-by-step explanation:

what is the slope of the line that contains these points x- -1,0,1,2 y- 10,18,26,34

Answers

Answer:

The slope is 8

Step-by-step explanation:

I need helpppp with 1-9

Answers

Answers:
1. x=1 y=3
2. x=2 y=1
3. x=2 y=2
4. x=5 y=5
5. x=2 y=0
6. x=2 y=1
7. x=3 y=-1
8. x=1 y=-3
9. x=1 y=0

Tell me if you want a step by step on any of them!! I can add that if you want.

Hope this helped. :)
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