Between what two consecutive number does - 12 square root lie ?

The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.

It is given that:

Roger owes his father $15. He borrows another $25 from him.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The amount Roger owes = $15

Roger borrows = $25

Total debt = -15 + (-25)

Total debt = -$40

The above integer represents the balance that he owes his father.

Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.

Learn more about the integer here:

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Answer:

The answer is x<4

But the girl over me just did it for points

Answer:

x<4

Step-by-step explanation:

Answer:

A. 8.27*10^4

D. 82,700

Step-by-step explanation:

Answer:

Step-by-step explanation:

The triangles can not be proven congruent.

We have AAA theorem ⇒ given triangles are similar for sure.

Answer:

x^2+10x+24

Step-by-step explanation:

(x+6)×(x+4)

=x^2+4x+6x+24

=x^2+10x+24 (ans)

Answer:

a-2

Step-by-step explanation:

Answer:

The Second, Fourth, and Fifth points on the graph

Finn, Jeff, Kevin

Step-by-step explanation:

hopefully this helped, if not HMU and I will get a better answer

Answer:

C. g(x) = x²+4

Step-by-step explanation:

Given the parabola function f(x) = x²

Translating the function up by 4 means adding the constant value of +4 to the function since it's translated along the positive y axis. The resulting function g(x) will be x²+4

Hence the correct answer is g(x) = x²+4. Option C is correct.

Answer:the function is linear

Step-by-step explanation:

Answer:

it linear

Step-by-step explanation:

AP3X verified

Answer:

yes

Step-by-step explanation:

Answer:

About 3.052 units

Step-by-step explanation:

I  presume you won't  need this explanation now,  but just in case;

If we draw triangle MNK, as  MN = NK we know is isosceles. Now let's draw an altitude to MK so that  it splits MK into two congruent parts (5/2 = 2.5). Given M<N = 110 degrees the altitude would split the angle into two congruent angles as well (Coincidence Theorem)---- 110/2 = 55 degrees.

Now let's study the smaller triangles, and take one as an example. Remember sin(theta) = opp/hyp. Applying this we have theta as 55 degrees, the opposite side as 2.5, and the hypotenuse is yet to be found (MN);

sin(55°)= 2.5/MN,

x = 2.5/sin(55°) ≈3.052

Answer:

all my answers are in the comments btw

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

+2 =18

18/6 =3

Answer:

x=3

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

Answer:

if number was represented by x it would be x+5

Step-by-step explanation:

Answer:

I don't know what to pick! both look sooooo yummy =P. If i had to chosse i would pick the second one.

Step-by-step explanation:

Answer:

27.5 hr

Step-by-step explanation:

220÷8=27.5

Answer:

A

Step-by-step explanation:

when u see all the numbers after the point they all are not equal to or > 5 so we don't add any number.

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (10, 40)

Point (15, 60)

Step 2: Find slope m

Answer:

The average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

Step-by-step explanation:

We are given function [tex]f(x)=x^2-2x-5[/tex] and we need to determine the average rate of change of the function for interval [tex]-5\leq x\leq 6[/tex]

The formula used to find average rate of change is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

We are given b=6 and a=-5

We need to find f(b) and f(a)

Finding f(b)

Putting x= 6 to find f(b)

[tex]f(x)=x^2-2x-5\\Put \ x=6\\f(6)=(6)^2-2(6)-5\\f(6)=36-12-5\\f(6)=19[/tex]

So, f(b)=19

Now finding f(a)

Putting x= -5 to find f(a)

[tex]f(x)=x^2-2x-5\\Put \ x=-5\\f(-5)=(-5)^2-2(-5)-5\\f(-5)=25+10-5\\f(-5)=30[/tex]

So, f(a)= 30

Finding average rate of change

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{19-30}{6-(-5)}\\Average \ rate \ of \ change=\frac{-11}{6+5}\\Average \ rate \ of \ change=\frac{-11}{11}\\Average \ rate \ of \ change=-1[/tex]

Average rate of change = -1

So, average rate of change of the function [tex]f(x)=x^2-2x-5[/tex]  for interval [tex]-5\leq x\leq 6[/tex] is -1

10100 hope it helped!

Answer:

The integers are -3, x, and -y

Step-by-step explanation:

Answer:

C. Graph C :)

Step-by-step explanation:

Answer:

28.00 and yes he is still in his budget

Step-by-step explanation:

22.50

5.50

............

28.00

Answer:

Jacob can have up to 5 guests at his graduation party because 50 - 22.50 is 27.50 and 27.50/5.50 is 5.

Step-by-step explanation:

To start off you would subtract 22.50 from 50 leaving you with 27.50. From there you would account for the number of attendees. Since 27.50/5.50 equals 5 the maximum amount of guests Jacob can have at his graduation party is 5.

Answer:

(x1y1)= (-8,-4)

(x2y2)= (4,-4)

here

slope= (y2-y1)/ (x2-x1)

= 0/ 12

= 0

Step-by-step explanation:

0

Given:

Initial value of new car = $17,500

Depreciation rate = 4.6%

To find:

The value of car after 4 years.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

where, a is initial value, r is decreasing rate and t is time in years.

Substitute a=17500, r=0.046 and t=4 in the above equation.

[tex]y=17500(1-0.046)^4[/tex]

[tex]y=17500(0.954)^4[/tex]

[tex]y=17500(0.8283111)[/tex]

[tex]y=14495.44425[/tex]

[tex]y\approx 14495.44[/tex]

The value of car after 4 years is $14495.44.

Therefore, the correct option is D.

Answer:

You are correct.

Step-by-step explanation:

y and j are the vertexes. Given that M and S are the corresponding parts of the 2 triangles, I would say you picked the right answer. But the question is ambiguous and there might be some hidden meaning why this is wrong. The reason might not stand up in a court of law, but instructors do hold the gun at your head.

Curse at it and move on.

x = number of appointments

y = total amount earned in dollars

The total earnings equation is y = 2x+40

The 2x is from her earning $2 per appointment. If she makes x of them, then she earns 2x dollars. This is on top of the $40 from working the full day.

She wants to earn at least $75. This means she wants to earn $75 or more.

This means,

[tex]y \ge 75\\\\2x+40 \ge 75\\\\2x \ge 75-40\\\\2x \ge 35\\\\x \ge \frac{35}{2}\\\\x \ge 17.5[/tex]

Since x is the number of appointments, and we can't have a fractional number of appointments, we must round up to x = 18. This is the lowest number of appointments she can do and earn $75 or larger.

If x = 17, then

y = 2x+40 = 2*17+40 = 34+40 = 74

which is not 75 or larger

But if x = 18, then

y = 2x+40 = 2*18+40 = 36+40 = 76

which is larger than 75, so we've cleared the hurdle.

We can say the solution set is [tex]x \ge 18[/tex] where x is a whole number. So she could book x = 18, x = 19, x = 20, x = 21, etc as the number of appointments to reach her goal.

In summary, she must schedule at least 18 appointments to earn $75 or more.

Since she makes $2 for every appointment she makes we would need to use 40+2n so she would get $2 per appointment no matter how many appointments she makes. Also, we wouldn't use an equal sign because they didn't say she needed to earn exactly $75. They said she needed to earn "at least" $75. At least means equal to or greater than ≥. So the inequality would be 2n+40≥75. PRO TIP: Any time it asks you to write an inequality you will use either <, >, ≤, or ≥ not an =.An equation uses =, an inequality uses the other symbols