Inequality to Verbal
-3 < x < 7
A. The domain is greater than or equal to -3 and less than
or equal to 7.
B. The range is greater than -3 and less than 7.
C. The domain is greater than -3 and less than 7.
D. The range is greater than or equal to -3 and less than or
equal to 7.

Answer:

[tex]f(x)=(x-3)(x^2-8x+17)[/tex]

Or:

[tex]f(x)=x^3-11x^2+41x-51[/tex]

Step-by-step explanation:

To find our factors, we can work backwards.

We know that 3 is a zero. This means that:

[tex]x=3[/tex]

Subtract 3 from both sides:

[tex](x-3)=0[/tex]

So, (x-3) is one of our factors.

We also know that (4+i) is a zero. So:

[tex]x=4+i[/tex]

First, let’s isolate the imaginary. So, subtract 4 from both sides:

[tex](x-4)=i[/tex]

Now, let’s square both sides:

[tex](x-4)^2=(i)^2[/tex]

Expand the left. Evaluate the right:

[tex](x^2-8x+16)=-1[/tex]

Add 1 to both sides. So, our factor is:

[tex](x^2-8x+17)=0[/tex]

Hence, our polynomial function is:

[tex]f(x)=(x-3)(x^2-8x+17)[/tex]

This is also the least degree since we did the most minimum we can do to solve backwards.

Further Notes:

If we want to convert this to standard form, we can distribute:

[tex]f(x)=(x^3-8x^2+17x)+(-3x^2+24x-51)[/tex]

Combining like terms will yield:

[tex]f(x)=x^3-11x^2+41x-51[/tex]

Answer

these nut in you'er mouth

Step-by-step explanation:

Answer: Why did you type on my answer "Thanks for the points".

Step-by-step explanation:

Answer:

c bc of -1/ 2 8 6 of you divide and then u multiple

The quotient of the synthetic division problem -1 | 2 8 6 in polynomial form is 2x + 6.

The synthetic division problem is given;

-1 | 2 8 6

Remove the number before the | sign

2 8 6

Remove the middle number;

2 6

Introduce a variable starting from an exponent of 0 (let the variable be x);

2x¹ 6x⁰

Evaluate the exponents;

2x 6

2x + 6

Hence, the quotient of -1 | 2 8 6 in polynomial form is 2x + 6.

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Answer:

10 songs

Step-by-step explanation:

Let number of songs Craig and Jeff downloaded be s

5.50 + 0.25s = 0.80s

5.50 = 0.55s

s = 10

Answer:

Please help me

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

Answer:

A. 6

Step-by-step explanation:

6/1 = 6

Answer:

Mr. Rossi receives a monthly salary of 2000 euros. The company where he works, following a period of profits higher than expected, increases salaries by 6%. Subsequently, due to a period of crisis, salaries are reduced by 6%. After the increase and decrease, how much will Mr. Rossi's salary be? And what is the percentage change in salary compared to the initial salary?

Step-by-step explanation:

I translated it from Italian to English for you.

Answer:

0.00675

Step-by-step explanation:

0.00675 rounded miles

Answer:

y=-5, x=13

Step-by-step explanation:

y value equals -5, plug that value into the other problem and solve

We will solve by graphing this system.

According to the graph bellow, the answer is D. The lines will intersect once, because this system has one  solution.

Answer:  D. The lines will intersect once, because this system has one  solution

Step by Step Explination:

Yes it is correct because I took the test and got 100%

Answer: 51

Step-by-step explanation: plug 24 into where X is. 1.5 times 24 is 36 then add the 15 and u get 51.

Answer:

2 hours

Step-by-step explanation:

60 *20

Answer:

The answer would be 30 minutes.

Step-by-step explanation:

Answer:

The standard general equation for a straight line is:

y = mx + C. You said the slope of line is 2/3. m is always the slope in this context. So with the numerical value slope we have the line

Y = 2/3 X + C. You also said the line passes through the point (1, -4) that is the X value is 1 and the y value is -4. Substitute these value into the linear equation to find C, as follows

-4 = 2/3 + c. and so C = - 4 - 2/3 = -14/3 and so the equation of line is :

y = 2x/3 + 14/3 or if you like 3y = 2x + 14

It is important to remember that the convention of the bracketted numbers e.g. (1,-4) or ( 1, -4, z), say is that the first number in the brackets indicates the X value, the second the y value and the third, the z value in the case of 3 D coordinates.

Answer:

It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.

Step-by-step explanation:

The value of the quadratic expression (x - 4)² + 4 will be always positive.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,

y = a(x - h)² + k

The quadratic expression is given below.

⇒ x² - 8x + 20

Convert the expression into a vertex form, then we have

⇒ x² - 8x + 16 + 4

⇒ (x² - 2 · x · 4 + 4²) + 4

⇒ (x - 4)² + 4

Thus, the value of the expression (x - 4)² + 4 will be always positive.

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Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

Step-by-step explanation:

Hope it helps!

Answer:

tan 68 degrees = b/60

60 * tan 68 degrees = b

b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths

  . Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:

a. 50x+200

b. 200

c. 50

d. y intercept - the cost to buy the phone

e. slope represents number of months that you have the phone plan

Answer:

Step-by-step explanation:

C

the equation would be y=2x+4

The solution is Option C.

The linear equation is given as y = 2x + 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the x values be = { -4 , -2 , 0 , 2 }

Let the y values be = { -4 , 0 , 4 , 8 }

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )

On simplifying the equation , we get

Slope m = 4/2 = 2

Now , the equation of line is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 2 ( x - ( -2 ) )

On simplifying the equation , we get

y = 2x + 4

Hence , the linear equation is y = 2x + 4

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Answer:

2.8 in decimal form

Step-by-step explanation:

Answer:

Im pretty sure its 2.8

Step-by-step explanation:

Answer:

A = 25 ft²

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Define

x = 5 ft

Step 2: Find Area

Answer:

14.04 miles/hours

Step-by-step explanation:

yw

Answer:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

Answer:

If you have any questions I can try to help :)

Step-by-step explanation:

I'm sorry people keep doing that to you

and thank you for the points <3

Answer:

208[tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a rectangle= base x height

Find the area for each one of the rectangles and add up

2(4x8)+2(6x8)+2(4x6)