Figure 1 is similar to figure 2. What is TS?
1 unit
4 units
8 units
2 units​

Inequalities help us to compare two unequal expressions. The correct option is A.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The complete question is:

The sum of 16 and a number is less than 24. Which of the following inequalities expresses the solution?

x<8

x>8

x=8

x<-8

Given the sum of 16 and a number is less than 24. Let the number be represented by x, therefore,

16 + x < 24

x < 24 - 16

x < 8

Hence, the correct option is A.

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Answer:

b.) Subtracting 5 then dividing both sides by -2

Step-by-step explanation:

Given expression:

⇒ -2x + 5 = 9

To solve this equation, first we need to remove the 5 on the left side. Then divide both sides by -2.

When done so:

⇒ -2x = 9 - 5

⇒ -2x = 4

⇒ -2x/-2 = 4/-2

⇒ x = -2

[tex]x^2+4x-7=x^2+4x+4-11=(x+2)^2-11[/tex]

Answer:

the sum of all exterior angle is 360 degree

Answer:

The probability of selecting two democrats is 1/380

Step-by-step explanation:

Here we are given the people as,

8 democrats, 8 republicans and 6 independent.

So total number of people are: 8+6+6=20

Probability of choosing first democrat = 1/20

Probability of choosing first democrat = 1/19

Thus P( two democrats in succession ) = 1/20 ×1/19

                                                                = 1/380

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Answer: 19/30 or about 63%

Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.

The telephone number datatype is text or string

The term is given as:

telephone number

A telephone number contains the following

The optional parts of a phone number makes it difficult to use the numeric datatype for a phone number.

So, we make use of text or string datatype

Also, the phone number cannot be used in calculations.

Hence, the telephone number datatype is text or string

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The telephone number is what type of data

Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that  

Let p represent the original number of plants in her garden.

then  total number of plants in her garden =  p³ +2

the total number of plants if p = 3 is

=3³ +2

= 29

p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.

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Answer:

(3,3) (-1,-3), you just have to look at the coordinates

Answer:

The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).

Step-by-step explanation:

The inverse of the given function is y = x³ + 2

Given the radical function below expressed as;

f(x) = ∛x-2

This can be written as;

y = ∛x-2

Replace y with x

x = ∛y-2

Take the cube of both sides

x³ =y - 2

y = x³ + 2

Hence the inverse of the given function is y = x³ + 2

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Answer:

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

Step-by-step explanation:

from plato

Step-by-step explanation:

please mark me as brainlest

Answer:

-6, 14, -26, 10x -4, -8x + -2x - 6

Step-by-step explanation:

So F(x) is setting that the values before the lines are equal to x and should be applied to the problem. Dont forget PEMDAS with these tho, they'll try to trick u like that.

So for the first one, f(0) you plug 0 where the x's are.

1.) 8(0)^2 +2(0) -6

0 + 0 - 6 = -6

2.) 8(2) +2(2) - 6

16+ 4-6= 20 - 6= 14

3.) 8(-2) + 2(-2) -6

-16 + -4 -6 = -26

On the ones where they leave the x there, you just have to leave the x. But don't forget distribution tho.

4.) 8(x+1) +2(x+1) -6

8x +8 + 2x + 2 -6

10x +10 -6 = 10x -4

5.) 8(-x) + 2(-x) -6

-8x + -2x -6

Step-by-step explanation:

the given function is f(x) = 8x² + 2x -6

f(0) = 8(0)² + 2(0) -6 = -6

f(2) = 8 (2)² + 2 (2) - 6 = 30

f(-2) = 8 (-2)² + 2 (-2) - 6 = 22

f (x+1) = 8(x+1)² + 2 (x+1) -6

= 8(x² +2x +1 ) + 2x -4

8x² + 16x +8 +2x -4 = 8x² + 18x + 4

f(-x) = 8(-x)² + 2 (-x) - 6

= 8x² -2x -6

Answer:

The angles are 18° and 72°

Step-by-step explanation:

Finding the unknown angle

       Let the smaller angle = x

     The larger angle          = 4*x = 4x

x + 4x  = 90

      5x = 90

        x = 90 ÷ 5

       x = 18

Smaller angle = 18°

Larger angle = 4*18 = 72°

Answer:

[tex]\frac{XM}{4y}=u[/tex]

Step-by-step explanation:

First, multiply both sides by M.

X M = 4uy

Now, divide both sides by 4y.

[tex]\frac{XM}{4y} =\frac{4uy}{4y}[/tex]

Therefore,

[tex]\frac{XM}{4y}=u[/tex]

It has a period of 2pi

the equation to find the period of a sin/cos function is

[tex]period = \frac{2\pi}{b} [/tex]

y = -2 sin(x) has a normal period of 2pi because the b value in this equation isn't stated, making it equal to 1

the basic equation for a sin function is

[tex]y = a \: \sin(b(x - c) ) + d[/tex]

2x² + 2x + ? = x

⇒ ? = x - 2x² - 2x

⇒ ? = -2x² - x

Your answer is incorrect because 2x² - x² would mean x² is part of the answer, which is clearly incorrect.

If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

The standard exponential function is expressed as:

y = ab^x

The value of x determines the nature of a graph whether vertical or horizontal stretch.

If x  > 1, it is a vertical stretch

Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x

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Answer:

c =  68 m

Step-by-step explanation:

To find the hypotenuse 'c' use Pythagorean theorem

       hypotenuse² = base ² + altitude²

                    c²       = 60² + 32²

                               = 3600 + 1024

                               = 4624

                  [tex]\sf c=\sqrt{4624}\\\\ c= \sqrt{2*2*2*2*17*17}=2*2*17\\\\\boxed{\bf c = 68 \ m }[/tex]

Answer: [tex]\sqrt[4]{64}[/tex]

Step-by-step explanation:

[tex]64^{\frac{1}{4} }= \sqrt[4]{64}[/tex]

The equation would be y = kx with k being a constant.

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

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Less workers = more hours

OR the answer might be worded as

More workers = less hours

Answer:

t+s = 9

4t+9s=51

tulips and succulents combined is 9 plants

the amount of money they have combined is $51

Answer: 4²

Step-by-step explanation:

There is some rule but just remember:

1. parenthesis

2. exponents

3. division/multiplication

4. subtraction/addition

Answer:

75

Step-by-step explanation:

Step-by-step explanation:

rewrite the equation as follows

c2d = a - b

divide both sides by 2d

c = (a - b)/2d

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

Here, we can use an angle rule.

We see that angles [tex](8x+50)[/tex]° and 130° are under a sort of F shape, where lines m and n are the horizontal parts of the letter and where the diagonal line is the vertical part of the letter.

This means we can use the rule:

Corresponding angles are equal.

This means that:

[tex]8x + 50 = 130[/tex]

We can now use this equation we have formed to solve for [tex]x[/tex]:

[tex]8x + 50 = 130\\8x = 80\\x = 10[/tex]

Therefore, our final answer is [tex]x=10[/tex].

Answer:

Step-by-step explanation:

Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.

It assumed d = t²*0.25 is the distance from the top of the building.

We know the height of the building is 500 meters.

We need to find the value of t, when d = 500 m: