What is the solution to the inequality 5.25 - b > 6.5​

Answer:

a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]

b) [tex][-\frac{5}{2} ,[/tex] ∞)

Step-by-step explanation:

The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.

a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.

To find this number, we can just take the denominator and solve for x:

[tex]3x + 4 = 0[/tex]

[tex]3x = -4\\x = -\frac{4}{3}[/tex]

Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.

b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.

A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:

[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]

Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).

Answer:

11x+42

Steps:

42+6x+5x

42+11x

Answer:

8+8+8+8+8+8+8+8+8.

Step-by-step explanation:

Just add 8 nine times.

Answer:

9 + 8x

Step-by-step explanation:

it's the same but backwards

it's called a Palindrome

Hope this helped a little!

[tex]\sqrt[9]({5x^{4}y^{3}) 2[/tex]

9514 1404 393

Answer:

  7.  obtuse

  8.  right

  9.  acute

Step-by-step explanation:

You can look at the difference ...

  a^2 + b^2 -c^2

where c is the longest side. You can classify the triangle based on the result:

  > 0 -- acute

  = 0 -- right

  < 0 -- obtuse

__

7. 7^2 +9^2 -15^2 = 49 +81 -225 = -95  ⇒  obtuse

8. 3^2 +4^2 -5^2 = 9 +16 -25 = 0  ⇒  right

9. 4^2 +5^2 -6^2 = 16 +25 -36 = 5  ⇒  acute

_____

There are several triangle solver apps and web sites available. Your graphing calculator may also solve triangles for you.

Answer:

44.4

Step-by-step explanation:

I got it correct on my test

Answer:

The answer is two places to the right. For every 0 you move the decimal one place. And since the 100 is positive you move the decimal to the right.

Step-by-step explanation:

Answer:

Two places to the right

Step-by-step explanation:

Thus, 6.8×100=680

Answer: power of a power

Step-by-step explanation:

in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

Answer:

Step-by-step explanation:

Answer:

104?

Step-by-step explanation:

52*4 = 208 ÷ 2 = 104

Answer:

Aiden should expect a multiple of 2 to be rolled 150 times.

Step-by-step explanation:

300 can be divided evenly 2 times.

Answer:

z= -30!!

Step-by-step explanation:

z - 8 = -38

  +8     +8

   z = -30

Answer:

can someone give us the answer if its independent or dependent

Step-by-step explanation:

Answer:

y=3/2+4

Step-by-step explanation:

Answer:

(0, 15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x² - 8x + 15

Step 2: Find y-intercept

From the information, the correct value that expresses the division will be 300 ÷ 75 = R

From the information given, the thing to do is simply to use the number in the box to divide the number beside it and get the information.

This will be:

= 3000 ÷ 75 = 40

= 300 ÷ 75 = 4

Therefore, the expression is 300 ÷ 75 = R.

Learn more about division on:

brainly.com/question/25289437

#SPJ1

Answer:

the price per gallon for each drink is $4.5 and $4.75 respectively

Step-by-step explanation:

The computation of the price per gallon for each drink is as follows;

Let us assume the ice tea be x

And, lemonade be y

So the equations are

2x +  3y = $23.25 .......(i)

5x + 4y = $41.50     ................(ii)

Now multiplied by 5 and 2 in equation 1 and 2

10x + 15y = $116.25

10x + 8y = $83

7y = 33.25

y = $4.75

Now put the y value in any of the equation

2x + 3($4.75) = $23.25

x = $4.5

So, the price per gallon for each drink is $4.5 and $4.75 respectively

The statement supported the graph is

The axis of symmetry is x = 3

The coordinates of the y-intercept are (0,7)

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.

1. The axis of symmetry is x = 3

The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.

2. The coordinates of the y-intercept are (0,7)

The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.

From the graph, the coordinates of the y-intercept is (0, 7)

3. The X-intercept is located at (-3,0)

The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.

From the graph the curve x axis at x= 1.5 and x= 4.5

So, the x-intercept is truly located at (1.5, 0) and (4.5,0)

Learn more about axis of symmetry here:

https://brainly.com/question/29261552

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Answer:

6:25:4

Step-by-step explanation:

12 ml of orange juice:50ml coconut milk: 8 ml orange juice

its all divisible by 2

so it would be 6:25:4

please mark as brainliest!!

Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

Answer:

Step-by-step explanation:

x + 25 + 4x + 10 = 180

5x + 35 = 180

5x = 145

x = 29

<1 = 29 + 25 = 54

<2= 4(29) + 10 = 116 + 10 = 126

Answer:

0.1 in per year ; 142 in

Step-by-step explanation:

Giveb that :

Diameter of tree in 1965 = 135 inches

Diameter of tree in 2005 = 139 inches

Average rate of change:

Change in diameter / change in time

(139 - 135) / (2005 - 1965)

4 / 40

= 0.1 in per year

Predict diameter in 2035;

Initial diameter + (average rate of change * (Number of years from initial)).

135 in + (0. 1 * (2035 - 1965))

135 in + (0.1 * 70)

135 in + 7 in

= 142 in

Answer:

the answer is 252

Step-by-step explanation:

7 x 8 x 9

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

     2

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Answer:

0.4t

Step-by-step explanation:

1.4t-t=0.4t

Hope this helps :)

Answer:

0.4t

Step-by-step explanation:

0.8t + 0.6t = 1.4t

1.4t-1t=0.4t

Answer:

30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.

Answer:

Step-by-step explanation:

30 girls, 20 boys. So easy!!!