2x-3y=4 x+3y=29
A. ( - 11, 3)
B. (11, - 3)
C. (3, 11)
D. (11, 3)

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:

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

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:

2 hours

Step-by-step explanation:

60 *20

Answer:

The answer would be 30 minutes.

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:

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:

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:

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:

1/4

Step-by-step explanation:

If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.

The value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have a trigonometric expression:

= cos(75°)cos(15°)

As we know the trigonometric identity:

cos(a)cos(b) = (1/2)[cos(a + b) + cos(a - b)]

a = 75

b = 15

Plug the above values in the trigonometric identity:

cos(75)cos(15) = (1/2)[cos(75 + 15) + cos(75 - 15)]

cos(75)cos(15) = (1/2)[cos(90) + cos(60)]

The trigonometric ratio is the ratio of the pair of a right-angled triangle.

The value of cos90 = 0

cos60 = 1/2

cos(75)cos(15) = (1/2)[0 + 1/2]

cos(75)cos(15) = 1/4

Thus, the value of the trigonometric expression cos(75)cos(15) is 1/4 after applying the trigonometric identity.

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Answer:

C

Step-by-step explanation:

4.67+4.28+= 8.95 -10=1.05

Answer

these nut in you'er mouth

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:

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:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

Answer:

2.8 in decimal form

Step-by-step explanation:

Answer:

Im pretty sure its 2.8

Step-by-step explanation:

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:

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:

0.00675

Step-by-step explanation:

0.00675 rounded miles

Answer:

If it is not a straight it is not considered a linear function. The image does not show all of the graphs, but it is not a linear function.

Answer:

A. 6

Step-by-step explanation:

6/1 = 6

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)

Answer:

14.04 miles/hours

Step-by-step explanation:

yw

Answer:

a. x+6 = 0

b. y-2 = 0

Step-by-step explanation:

Given point is:

(-6,2)

a. Line perpendicular to x-axis:

A line perpendicular to x-axis means that the line is vertical and parallel to y-axis. Any equation parallel to y-axis has the form

x = k

where k is the x-coordinate of the point from which the line passes.

So the required equation is:

[tex]x = -6\\x+6 = 0[/tex]

b. Line perpendicular to y-axis:

A line perpendicular to y-axis will be a horizontal line parallel to x-axis having the equation of the form

y = b

where b is the y-intercept

Required equation is:

[tex]y = 2\\y-2=0[/tex]

Hence,

a. x+6 = 0

b. y-2 = 0