Please solve the ques below:

The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.

The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.

According to the rational root theorem, the possible roots of a polynomial of degree three and above are,

± (coefficient of the last term)/(coefficient of the first terms).

Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,

The factors of the constant term divided by the factors of the first terms,

So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).

So, The possible roots are ± (1, 2, 3) and so on.

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Answer:

Step-by-step explanation:

Triangle JKL is a 51-51-78 triangle, since the angles in a triangle must add up to 180°. Since triangle PQR is similar to triangle JKL, it must also be a 51-51-78 triangle. Since corresponding sides in similar figures are in proportion, we can set up a proportion to find the length of PR:

(PR)/(JK) = (PQ)/(JL) = (36)/(18)

Cross multiplying and solving for PR, we find:

PR = (JK) * (PQ)/(JL) = 18 * 36/18 = 36

Answer:

Step-by-step explanation:

Dolls:240 Teddy Bears:120

120:240

Please Describe the fraction If Possible.

Answer:

dddd

Step-by-step explanation:

Answer:

No solution exists. Hope that helps sorry it took me long I was typing alot as you can see bye and have a great day!

Step-by-step explanation:

1. Break down the problem into these 2 equations 2x+3=-5 -(2x+3)=-5

2. Solve the 1st equation : 2x+3=-5  Subtract 3 from both side 2x=-5-3 =-8 divides both sides by 2 x= -8/2 which give you x=-4 Now solve the 2nd equation : -(2x+3)=-5  Remove parentheses -2x-3=-5 add 3 to both sides  -2x=-5+3=-2 Divide both sides by -2x=-2 which would give you x=1

When x=-4x, the original equation ∣2x+3∣=−5 does not hold true.

We will drop x=-4x from the solution set.

When x=1, the original equation |2x+3|=-5 does not hold true.

We will drop x=1, from the solution set. So, No solution would be your answer.

The correct statement regarding the linear function passing through the coordinates (2, 1), (3,3), (5,7), (6,9) is given as follows:

A. The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

A linear function represents a proportional relationship if it has an intercept of zero.

For the points in this problem, when x increases by one, y increases by two, hence the slope is given as follows:

m = 2/1 = 2.

Hence:

y = 2x + b.

When x = 2, y = 1, hence the intercept b is given as follows:

1 = 2 + b

b = -1.

As the intercept is different of zero, this is not a proportional relationship, and option A is correct.

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Answer:

1.252

Step-by-step explanation:

5 and up round up 4 and below round down

The quartic equation y = x⁴ - x³ - 5 · x² - x - 6 has x = - 2 and x = 3 as its only real zeros. (Correct choice: C)

Quartic equations are polynomials of grade 4, whose standard form is described below:

y = a · x⁴ + b · x³ + c · x² + d · x + e

Where a, b, c, d, e are real coefficients. A value of x is a zero of a polynomial when the result is equal to zero. The quickest way to find the polynomial is by evaluating each expression at x = - 2 and x = 3:

x = - 2

y = (- 2)⁴ - (- 2)³ - 5 · (- 2)² - (- 2) - 6

y = 16 + 8 - 20 + 2 - 6

y = 0

x = 3

y = 3⁴ - 3³ - 5 · 3² - 3 - 6

y = 81 - 27 - 45 - 3 - 6

y = 0

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Answer:

$4.37 is a possibility to the answer

Answer:

they ate 6 pizza

Step-by-step explanation:

༼ つ ◕‿◕ ༽つ

Answer:

= 18√2

decimal =25.45584412

Answer:

the lowest score that she can get on the las test and still get a B​ is 83

Step-by-step explanation:

x= score needed

(82+76+84+75+x) / 5 = 80

(317+x)/ 5 = 80

Cress multiplication

317 +x = 5 x 80

317 + x = 400

x = 83

317 + 83 = 400

400/5 = 80

Answer:

For every hour, Bliqus earns $21.50

Step-by-step explanation:

$430 / 20 = $21.50

$215 / 10 = $21.50

Answer:

54.4

Step-by-step explanation:

g(20) = 19.6 + 1.74 (20)

g(20) = 19.6 + 34.8

g(20) = 54.4

Volume of pyramid:

= ⅓ × l × w × h

= ⅓ × 9 × 9 × 7

= 3 × 63

= 189 ft³

Answer: The slope for this line is not defined.

Step-by-step explanation: We can find the slope of a line using the formula m = y2 -y1/x2 - x1

here, (x1,y1) = (-7,4)

and, (x2,y2) = (-7,-8)

now, m= -8-4/-7+7

        m = -12/0

        So, the slope for this line is not defined as we are getting zero in the denominator.

Step-by-step explanation:

think of it as a ruler the small dashes represents the 16ths and the big dashes represents the 4ths. They are on the same line therefore they are equal.

Answer:

Step-by-step explanation:

From the given information:

Assuming we have an integer c to represent the components in the stocks.

Thus, the needed probability can be expressed as:

[tex]P(X_1+X_2+ ........ X_c \ge 2000)[/tex]

To break this down, we have:

[tex]P(\sum X_i \ge 2000) = P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )[/tex]

[tex]P \Bigg(\dfrac{\sum X_i - 100n}{\sqrt{n \ Var (X)}} \ge \dfrac{2000-100 n }{\sqrt{n \times 900}} \Bigg )= P (Z \ge 0.95 ) \ \ \ because \ Z_{0.05} = -1.65 \\ \\ \\ \dfrac{2000-100 n }{\sqrt{n \times 900}} = -1.65 \\ \\ \\ \dfrac{100\ n-2000 }{\sqrt{900n}} = 1.65 \\ \\ 100 n -1.65 \sqrt{900 n }-2000 = 0[/tex]

By solving the equation:

n = 23

Thus, relating to the needed condition; n ≥ 23

The needed number of the components that should be in stock should be  at least 23.

Answer:

1 3/4

Step-by-step explanation:

[tex]4\frac{1}{4}- 2\frac{2}{4} \\\\17/4 - 10/4\\7/4\\1 3/4[/tex]

Answer:

Converting from Mixed numbers to Fraction

4¹/4 = 17/4

2²/4 = 10/4

17/4 – 10/4

= 7/4

You can also change this answer into Mixed Number

it'll be 1 3/4 (One whole number, three over four)

Answer:

It's (E) ..................

Answer:

E

Step-by-step explanation:

Answer:

A. a and β

Step-by-step explanation:

I calculated it logically

(a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
We know that the intercept of both II and IV is 10.

If we substitute t = 0 into the exponential formulas, we get the initial value or y-intercept of the graphs. Therefore, the formula that gives an initial value of 10 is a candidate for representing II and IV.

Out of the given options, the formula that gives an initial value of 10 is (a) [tex]10(1.02)^t[/tex] and b) [tex]10(1.05)^t[/tex].

Therefore,  (a) [tex]10(1.02)^t[/tex], and b) [tex]10(1.05)^t[/tex] are the formulas that represent II and IV in the graph above.

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Answer:

The radius of the sphere is 12 inches.​

Step-by-step explanation:

V = 4/3 · pi · r³

r³ = 1728

r = 12

Answer:

Step-by-step explanation:

Answer:

157 cm^2

Step-by-step explanation:

1) find the radius

radius = side of the square /2 = 10 /2 = 5 cm

2) notice that four semicircles are equals  to two circles

3) find the area of the shaded region

A = radius^2 x pi x 2 = 5^2 x pi x 2 = 157 cm^2  (round the nearest whole number)

Answer:

2√2- 4√5

Step-by-step explanation:

√2 (2-2√10)

2√2- 2√20

2√2- 2√(4*5)

2√2- 2*2√5

2√2- 4√5

Answer:

see image below

Step-by-step explanation:

Answer:

B. Increases from left to right

Step-by-step explanation:

I calculated it logically

9514 1404 393

Answer:

  b.  increases from left to right

Step-by-step explanation:

See below for a graph. The function increases at an increasing rate from left to right. It only exists in quadrants I and II.

Answer:

30 meters squared

Step-by-step explanation:

First of all, we need to split the shape into different shapes. In this case, two triangles and a rectangle. We know that the triangle on the left has a height of 3 meters, and a width of 3 meters, and the formula for the area of a triangle is:

(b*h)/2 = A

So, we can plug in the values:

(4*3)/2 = A

Then, solve.

12/2 = A

6 = A

So, the triangle on the left is 6 meters squared. There is another copy of that triangle, so that means that both of the triangles combined is:

6*2 = 12 meters squared

Lastly, we need to find out the middle rectangle, which is 6 meters by 3 meters. The area of a rectangle is:

L*W = A

Plug the values...

6*3 = 18 square meters

So, the rectangle is 18 meters squared.

Our last step is to add the area for all the shapes. That would be:

12 + 18 = 30 meters squared.

Therefore, the area of this shape is 30 meters squared. Hope this helps!