What is the domain and range of the function
f(x) = -(3)* + 2?
(TEK A.9A)

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

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

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

Hope this helps!

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

Answer:

Step-by-step explanation:

It’s a repeating pattern.

i² = -1

i³ =(i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

...

i¹⁷ = i

The value for [tex]i^{17}[/tex] is i.

An imaginary number is denoted by i.

The value of i is √-1.

We have,

i = √-1

i² = -1

i³ = (i²)i = (-1)i = -i

i⁴ = i³i = -i² = 1

i⁵ = (i⁴)i = (1)i = i

i⁶ = i⁵i = i² = -1

We see that,

If the power is an even number we get 1 and -1.

If the power is an odd number we get i and -i.

Thus,

i¹⁷ = i

Learn more about imaginary numbers here:

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Answer:

25

Step-by-step explanation:

Answer:25%

Step-by-step explanation:

Step-by-step explanation:

Umm I can try. c:

I'll see....

Answer:

4811?

Step-by-step explanation:

sorry if incorrect

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.  

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

Answer:

169,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is exponential growth of form

y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time

y=130000(1.03^10)

y=174709

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The "form factor" in the attached is the difference between the sum of the squares of the short sides and the square of the long side. If that difference is 0, the Pythagorean theorem is satisfied, and the triangle is a right triangle. When the difference is positive, the triangle is acute; negative, the triangle is obtuse.

As you can see, all but the third triangle are right triangles.

__

Example calculation:

A: 5^2 +12^2 -13^ = 25 +144 -169 = 0

__

I like to let a spreadsheet do the work when there are repetitive calculations. The formula and data only need to be entered once.

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

Answer:

58

Step-by-step explanation:

4 × 5 to the power of 2 + 3 × 5 + 3

Answer:

Option B

118

Step-by-step explanation:

[tex]4{x}^{2} + 3x + 3[/tex]

By putting the value of x = 5

[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]

= 4 × 25 + 15 + 3

= 100 + 18

= 118 (Ans)

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Answer:

c = 12.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = 7.5

Leg b = 10

Hypotenuse c = c

Step 2: Solve for c

Answer:

55.1

Step-by-step explanation:

delta math

Answer: I believe it’s C

Step-by-step explanation: I hope i’m right

Answer:

2743.851 adults aged 57 through 85 years used at least one prescription medication.

Step-by-step explanation:

I did this on a calculator so yeah...

Answer:

Yes

Step-by-step explanation:

20% of 90= 72

then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3

since the answer is a positive number that means yes.

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

because the total sum of each percent is 90%

and it must be 100% as it is a full circle

Answer:

C. x+y = 1 and -x-y = -1

Step-by-step explanation:

Remember that if a system of equations has an infinite number of solutions, then the resulting equation from using the first step of the elimination method would have no variables and would be true.  

1) Let's try canceling out the equations in option C, x+y =-1 and -x-y =-1. Add the two equations together. (Work shown in attached picture.)

2) All of the terms cancel out with each other, leaving only a true statement of 0 = 0. Thus, option C is the answer.  

Answer:

32

Step-by-step explanation:

24/(3/4)

Answer:

32 meals

Step-by-step explanation:

24 / (3/4)

Multiply by reciprocal:

24 x (4/3) = 32

Answer:

240

Step-by-step explanation:

m + n + p+ q = perimeter

60 + 60 + 60 + 60 = 240

I'm pretty sure that's how you solve it, I'm so sorry if it's wrong

The perimeter of the given quadrilateral will be 21 units.

A quadrilateral is a shape made up of the four sides having the sum of the angles 360 degrees.

The quadrilateral MNPQ has four sides 6,6,6 and 3.

The perimeter is calculated as the sum of the all the sides:-

Perimeter = 6  +  6  +  6  +  3 = 21 units

Therefore the perimeter of the given quadrilateral will be 21 units.

To know more about quadrilaterals follow

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Answer:

V = 12π in³

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]

Step-by-step explanation:

Step 1: Define

Radius r = 2 in

Height h = 3 in

Step 2: Find Volume

Answer:

173.25

173.25+7=

$180.25

Step-by-step explanation:

Answer:

$185.38 i beileve. I took the discount out then added the tax

Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Answer:

24 I guess

Step-by-step explanation:

There are 2 sides in a coin so 12 x 2 = 24

Answer:

x= -1

Step-by-step explanation:

Given data

We have the expression as

(x+1)/(x+1)= 1/2​

let us first cross multiply

2(x+1)=(x+1)

2x+2=x+1

collect like terms

2x-x=1-2

x= -1

Hence the value of x=-1