Choose the inequality that represents the following graph.
4
-5
1
-3
1
- 2
1
-1
1
0
1
1
1
2
1
3
-4
1
4
5
Choose 1 answer:
2 <-4
<-4
a> - 4
3-4

Answer:

See explanation

Step-by-step explanation:

It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).

When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.

This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.

For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]

HOWEVER:

[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]

We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])

Hope this helped!

Answer: A

Step-by-step explanation:

If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.

6x-8+2(x+2)=12          [distribute]

6x-8+2x+4=12            [combine like terms]

8x-4=12                       [add both sides by 4]

8x=16                          [divide both sides by 8]

x=2

Now, we know that A is the correct answer.  

Answer: The answer is A.

Step-by-step explanation:

Hey there! I'm happy to help!

This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.

Have a wonderful day! :D

Answer:

8x = R116

x = R14.5

Step-by-step explanation:

1 metre costs = x

8 metres cost = 8x

Answer is: R14.5

Answer:

5 3/4= 23/4 in improper fraction

Answer:

1/2

Step-by-step explanation:

Answer:

1/2 is equivalent to 3/6 as well as 6/12 and other things just keep it same ratio

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]

Thus the cube root of the larger number is 9.

Building and solving an equation, it is found that the cube root of the larger number is 9.

-------------------------

[tex]x^3 - y^3 = 386[/tex]

[tex]x^3 - y^3 = 386[/tex]

[tex]x^3 - 7^3 = 386[/tex]

[tex]x^3 - 343 = 386[/tex]

[tex]x^3 = 386 + 343[/tex]

[tex]x^3 = 729[/tex]

[tex]x = \sqrt[3]{729}[/tex]

[tex]x = 9[/tex]

Thus, the cube root of the larger number is 9.

A similar problem is given at https://brainly.com/question/13161078

Answer:

65

Step-by-step explanation:

z=6

1) 6*6=36

2) 36+32=68

3) 68-3=65

Answer:

the answer is 50

Step-by-step explanation:

i took the test and guessed and got it right

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]BC = 24[/tex]

[tex]AC = 2x + 1[/tex]

[tex]BA = 7x - 4[/tex]

Required

Find x

The given parameters shows that A is a point on BC;

So:

[tex]BC = BA + AC[/tex]

Substitute values for BC, BA, AC

[tex]24 = 7x - 4 + 2x + 1[/tex]

Collect Like Terms

[tex]24 + 4 - 1 = 7x + 2x[/tex]

[tex]27 = 9x[/tex]

Solve for x

[tex]x = 27/9[/tex]

[tex]x = 3[/tex]

Answer:

x=3

Step-by-step explanation:

:)

Answer:

a = cd + b / b

Explanation:

ba − cd = b

[ Step 1: Add cd to both sides ]

ab − cd + cd = b + cd

ab = cd + b

[ Step 2: Divide both sides by b ]

ab / b = cd + b / b

a = cd + b / b

Answer:

4

Step-by-step explanation:

The lines around the -12 and 8 is what we call absolute value. This means that whatever is in it, it will be positive. Knowing this the equation would be 12-8. This would give you 4.

Answer:

solving for t= t>d+l

For l= l<t-d

Then for d=d<t-l

Answer: area = 38.48m

Step-by-step explanation:

Pi(3.5)^2

Pi(12.25)

38.48

Answer: C

Answer:

C

Divide both sides by 9.

Answer:

8,6 2,11 7,21

Step-by-step explanation:

easy peasy

Answer:

Step-by-step explanation:

Refer to attached

a) ............................

This is a square of side length of 5

b)  ............................

Applied rule

New coordinates:

Answer:

see explanation

Step-by-step explanation:

[tex]\sqrt{10}[/tex] and [tex]\sqrt{5}[/tex] cannot be simplified as they are already in simplest form.

Note that [tex]\sqrt{10}[/tex] + [tex]\sqrt{5}[/tex] ≠ [tex]\sqrt{15}[/tex]

Thus

2[tex]\sqrt{10}[/tex] + 5[tex]\sqrt{5}[/tex] ← cannot be simplified any further

Answer:

68666866726.8

Step-by-step explanation:

Answer:

< and [tex]\leq[/tex] and [tex]\neq[/tex]

Step-by-step explanation:

-7 is less than -4

-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.

-7 is also not equal to -4

Answer <

Step-by-step explanation:

Closer to zero

Answer:

36

Step-by-step explanation:

Since 12 is the first number in the next ratio, multiply it by each number in the first ratio-

1*12=12

3*12=36

Answer= 12:36

Hope this helped

Answer:

7(y-1)

Step-by-step explanation:

First find the difference ( subtraction) of y and 1

y-1

Then multiply by 7

7(y-1)

Answer:

[tex] x = 9 [/tex]

Step-by-step explanation:

Given:

[tex] PQ = x - 5 [/tex]

[tex] QR = 2x - 1 [/tex]

[tex] PR = 21 [/tex]

Required:

Value of x

SOLUTION:

Point P, Q, and R are collinear, therefore:

[tex] PQ + QR = PR [/tex] (segment addition postulate)

[tex] (x - 5) + (2x - 1) = 21 [/tex] (substitution)

Solve for the value of x using the above equation.

[tex] x - 5 + 2x - 1 = 21 [/tex]

Combine like terms

[tex] x + 2x - 5 - 1 = 21 [/tex]

[tex] 3x - 6 = 21 [/tex]

Add 6 to each side of the equation

[tex] 3x - 6 + 6 = 21 + 6 [/tex]

[tex] 3x = 27 [/tex]

Divide each side by 3

[tex] \frac{3x}{3} = \frac{27}{3} [/tex]

[tex] x = 9 [/tex]

Answer:

  -8

Step-by-step explanation:

The five identical factors of 32 are ...

  2·2·2·2·2 . . . . . each 32^(1/5)

The negative product of 3 of them is ...

  -(2·2·2) = -8 . . . . . . the value of -32^(3/5)

_____

As written, without parentheses, the minus sign is applied to the result of the exponentiation.

Answer:

Yes.

Step-by-step explanation:

Rational numbers can be represented as fractions with integers. The denominator must not equal 0.

[tex]\frac{7}{9}[/tex] is already in this form. This means that it's a rational number.

Hope this helps.

Yes, 7/9 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.

In this case, 7/9 can be written as the fraction where the numerator (7) and denominator (9) are both integers. Since there is no division by zero, 7/9 qualifies as a rational number.

Rational numbers can be represented as terminating decimals or repeating decimals. When we divide 7 by 9, we get the decimal representation 0.777... where the digit 7 repeats infinitely. This is a repeating decimal, and it's still considered rational because it can be expressed as the fraction 7/9.

In conclusion, 7/9 is a rational number since it can be expressed as the fraction of two integers, and it can be represented as a repeating decimal.

To know more about rational number:

https://brainly.com/question/17450097

#SPJ6

Answer:

6

Step-by-step explanation:

Answer:

$9,500

Step-by-step explanation:

$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.

Answer:

City C location: (6,10)

Distance between City A and City C: √313 or 17.69

Step-by-step explanation:

Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2

Plug in the numbers, this gives you (6,10)

Use distance formula to find distance between City A and City C.

√(x2−x1)^2+(y2−y1)^2

Plug in the numbers, this gives you √313 which is also 17.69