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3 years ago

Using synthetic division, find (2x4 − 3x3 − 20x − 21) ÷ (x − 3).

Mathematics

1 answer:

Lostsunrise [7]3 years ago

8 0

I not sure. I hope that i helped GOOD LUCK!!!

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Find the exact roots of x²-2x-10=4x

BARSIC [14]

Answer:

$x = 3 - \sqrt{19} \: \: or \: \: x = 3 + \sqrt{19}$

Step-by-step explanation:

The given equation is

${x}^{2} - 2x - 10 = 4x$

We group the linear terms to get:

${x}^{2} - 2x - 4x - 10 = 0$

${x}^{2} - 6x - 10 = 0$

We compare to

$a {x}^{2} + bx + c = 0$

This means

a=1, b=-6 and c=-10

We plug in the values into the quadratic formula:

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a}$

This gives us

$x = \frac{ - -6 \pm \sqrt{ {( - 6)}^{2} - 4 \times 1 \times - 10 } }{2 \times 1}$

$x = \frac{ 6 \pm \sqrt{ 36 + 40 } }{2}$

$x = \frac{ 6 \pm \sqrt{76 } }{2}$

$x = \frac{ - 6 \pm 2\sqrt{19} }{2}$

$x = 3 \pm \sqrt{19}$

The solutions are

$x =3 + \sqrt{19}$

$x = 3 - \sqrt{19}$

7 0

3 years ago

A lock consist of 4 dials where each dial has 6 letters what is the probability of guessing the right combination in one try’s

VARVARA [1.3K]

Using it's concept, it is found that the probability of guessing the right combination in one try’s is of $\frac{1}{1296}$ .

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 4 dials, each with a $\frac{1}{6}$ probability of getting it correct, hence the probability of getting the right combination is given by:

$p = \left(\frac{1}{6}\right)^4 = \frac{1}{1296}$ .

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

5 0

2 years ago

The cost of a car rental is 30$ per day plus 27 cents per mile. You are on a daily budget of 76 $. Write and solve an inequali

denis-greek [22]

Answer:

okok so the answer is

Step-by-step explanation:

45.55+30=74.55

0.27 * 168=45.36

45.36+30=75.36

So he can drive 168 miles each day at most to stay within his budget.

Hope this helps :)

4 0

3 years ago

17,000 cu in= how many cu yd? No trolls please. Go somewhere else if your trolling and not wanting to help. Give me a whole numb

Mila [183]

Answer:

.36 cubic yard

Step-by-step explanation:

4 0

2 years ago

Find the value of x.

kirill [66]

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The angle bisector divides the sides proportionally.

(6x -1)/42 = (10x +5)/78

13(6x -1) = 7(10x +5) . . . . . . . multiply by 546 = LCM(42, 78)

78x -13 = 70x +35 . . . . . . . . eliminate parentheses

8x = 48 . . . . . . . . . . . . . . . . add 13-70x

x = 6 . . . . . . . . . . . . . . . . . divide by 8

6 0

3 years ago