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3 years ago

What is the remainder when you divide 4x³ - 5x² + 3x - 1 by x - 2?

Mathematics

2 answers:

yuradex [85]3 years ago

7 0

Simplify each term.
4x^2 - 5x^2 + 3x - 1/x -2 2
Hope this helps! :)

konstantin123 [22]3 years ago

6 0

By the remainder theorem this will be
f(2) = 4(2)^3 - 5(2)^2 + 3(2) - 1
= 32 - 20 + 6 - 1
= 12 + 5

= 17

Its D

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Write a quadratic equation in standard form with the given roots

stich3 [128]

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$

Step-by-step explanation:

So we go backwards, since we have x= 1/2 , 7

$(x - \frac{1}{2} )(x - 7)$

Now we have to foil to get the quadratic

${x}^{2} - 7x - \frac{1}{2} x + \frac{7}{2}$

We must simplify the terms

${x}^{2} - \frac{14x}{2} - \frac{x}{2} + \frac{7}{2}$

Our final result comes out to be

${x}^{2} - \frac{15x}{2} + \frac{7}{2}$

5 0

2 years ago

What is the area of a equilateral triangle with the dimensions of 5ft

Ksivusya [100]

I’m pretty sure this is right:

3 0

3 years ago

Which ordered pair is the solution to the system of equations? {x+3y=-12, y= 1/3x-6?

Julli [10]

For this, I'll be using the substitution method. Since y = 1/3x - 6, replace the y variable in the first equation with 1/3x - 6 and solve for x:

$x+3(\frac{1}{3}x-6)=-12\\ x+x-18=-12\\ 2x-18=-12\\ 2x=6\\ x=3$

Now that we have the value of x, plug it into either equation to solve for y:

$3+3y=-12\\ 3y=-15\\ y=-5\\ \\ y=\frac{1}{3}*3-6\\ y=1-6\\ y=-5$

<h3>In short, the solution to this equation is (3,-5).</h3>

5 0

3 years ago

Looking for the answer to this

SashulF [63]

<h2>Required Answer :-</h2>

Given system of linear equations are ,

x + y = 2
-3x + y = 2

And we need to find the Solution of the linear equation . So let's Firstly number the equations .

$\large{\red{\frak{ Given}}}\begin{cases} \sf x + y = 2\qquad ..........(i) \\\\\sf -3x + y = 2 \qquad ..........(ii) \\\end{cases}$

→ Multiplying equⁿ (i) by 3 ,

=> 3 ( x + y ) = 2*3

=> 3x + 3y = 6

→ Adding the two equations ,

=> 3x + 3y -3y + y = 6 + 2

=> 4y = 8

=> y = 8/4

=> y = 2

→ Put y = 2 in (i) ,

=> x + y = 2

=> x + 2 = 2

=> x = 2- 2

=> x = 0

<h3>★ Hence the required solution is ( 0 , 2 ) .</h3>

7 0

3 years ago

Snoopy the dog is on a 11-ft long chain that is attached to the corner of a garage (see the picture below). If the chain does no

seropon [69]

11*2 = 22 (calculating the diameter)

Using πD for the area:
π * 22 = 22π

Getting 3/4 of the area because the dog can not move past the corners of the garage;

22π * 3/4 = 16.5π

Getting the answer in feet^2:
16.5 * 3.14 = 51.84 feet^2

Hope this helps! :)

5 0

3 years ago