Use the remainder theorem to determine if x = 4 is a zero of the following polynomial and find the quotient and the remainder
p(x) = x2 + 11x - 60
ОА.
Yes, x = 4 is a zero of the polynomial
The quotient is x + 15, and the remainder is 0.
ОВ.
No, x = 4 is not a zero of the polynomial
The quotient is x + 15, and the remainder is 0
OC Yes x = 4 is a zero of the polynomial.
The quotient is x + 7, and the remainder is 0
D
No, x = 4 is not a zero of the polynomial.
The quotient is x + 7, and the remainder is -88

There are nine campers in total. There are five boys in the camp. Here are the details:

Ratio: 5:9

Fraction: 5/9

Decimal: 0.5555...........

Percentage: 56%

Hope this helped! Have a wonderful Day! :D

Answer:

[tex]\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}[/tex]

.

Step-by-step explanation:

We know that

[tex]f(n) = n^3 - 2n[/tex]

[tex]g(n) = 2n + 2[/tex]

.

So

[tex](f~.~g)(x) = f(n)~.~g(n)[/tex]

[tex](f~.~g)(x) = (n^3-2n)(2n + 2)[/tex]

[tex](f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)[/tex]

[tex](f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n[/tex]

Answer:

2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a

Step-by-step explanation:

bs ak la ya s dyua youa au ab fusn aigska

Answer:

The coordinates of the division point are (7, 3)

Step-by-step explanation:

The coordinates of the point (x, y) which divides a segment with endpoints (x1, y1) and (x2, y2) at a ratio m1: m2 internally is ([tex]\frac{m1x2+m2x1}{m1+m2}[/tex] , [tex]\frac{m1y2+m2y1}{m1+m2}[/tex] ).

∵ The line segment joining the points (4, -3) and (8, 5)

∴ x1 = 4 and x2 = 8

∴ y1 = -3 and y2 = 5

∵ The point divides the segment at ratio 3: 1

∴ m1 = 3 and m2 = 1

→ By using the rule above

∵ x = [tex]\frac{(3)(8)+(1)(4)}{3+1}[/tex] = [tex]\frac{24+4}{4}[/tex] = [tex]\frac{28}{4}[/tex]

∴ x = 7

∵ y = [tex]\frac{(3)(5)+(1)(-3)}{3+1}[/tex] = [tex]\frac{15-3}{4}[/tex] = [tex]\frac{12}{4}[/tex]

∴ y = 3

∴ The coordinates of the division point are (7, 3)

Answer: express a number in base 5 notation you need to write it in powers of 5. ... 52 = 25 53 = 125 54 = 625. 625 is larger than 613 so I only need a 53 digit, a 52

Step-by-step explanation:

Answer:

POWERS OF 5:

.52 = 25

53 = 125

54 = 625

So 625 is larger than 613

so you will only need 53

but then you also will have 52 so you have 52 as your answer i hope this helps :)

Answer:

p is -5

Step-by-step explanation:

If a polynomial 2x³-9x² +15x +p is divided by (x-2), then the remainder is gotten by equating the divisor x - 2 to zero

If x - 2 = 0

Add 2 to both sides

x - 2 + 2 = 0 + 2

x = 2

Substitute x = 2 into the expression to get the remainder:

If p(x) = 2x³-9x² +15x +p

p(2)= 2(2)³-9(2)² +15(2) +p

p(2) = 2(8) - 9(4) + 30 + p

p(2) = 16-36+30+p

p(2) = -20 + 30 + p

p(2) = 10+p

Since the remainder given in question is - p, to get p, we will equate p(2) to -p as shown

p(2) = -p

10+p = -p

10 = -p-p

10 = -2p

p = 10/-2

p = -5

Hence the value of p is -5

Answer:

2x+6

Step-by-step explanation:

To simplify an expression such as this you must add like terms. Like terms are terms that have the same variable and power. In this expression 4x, x, -3x are like terms and -2 and 8 are also like terms. To add like terms simply add the coefficients and remember adding a negative is the same as subtracting. So, add the previously listed terms 4x + x + (-3x) = 2x, then -2+8= 6. This means the simplified expression is 2x+6.

Answer:

[tex]x^{2}=4y[/tex]

[tex]y=\frac{1}{4}x^{2}[/tex]

Step-by-step explanation:

Forma ordinaria

La ecuación de la parabola de manera ordinaria está dada por:

[tex](x-h)^{2}=4p(y-k)[/tex] (1)  

Donde:

Por lo tanto h = 0, k = 0 y p = 1.

Remplazando estos valores en la ecuación de la parábola, tenemos:

[tex](x-0)^{2}=4*1(y-0)[/tex]

[tex]x^{2}=4y[/tex] (2)

Forma general  

La forma general de una parábola esta dada por la siquiente ecuación

[tex]y=ax^{2}+bx+c[/tex]

Reordenando la ecuación (2) tenemos:

[tex]y=\frac{1}{4}x^{2}[/tex]

Espero esto te haya ayudado!

Answer: y= 1/4x -7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

WHEN APPLY MOD | | , we consider making every values in it positive.

so, equation becomes:

+5 + (+3)

= +8

therefore, D 8

Answer:

D

Step-by-step explanation:

The absolute value function always gives a positive result, that is

| - a | = | a | = a

Given

| - 5 | + | 3 |

= 5 + 3

= 8 → D

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

Answer:

d)

c)

Step-by-step explanation:

any more help just ask :)

Answer:

3

Step-by-step explanation:

9 / 54 = x / 18

x = 3

Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

Answer:

54 programs

Step-by-step explanation:

As of today's date 12/25/2020, there are a total of 54 programs that have been accredited by the Commission on Sport Management Accreditation (COSMA). Each university program that has been accredited can be found on COSMA's official website along with the date in which each program was officially accredited and the basic information regarding the program and its university. More and more programs are being added as time goes by.

Answer:

for the graph all you do is graph the points

the slope is 2

y-intercept is 8

equation- y=2x+8

and 18 dollars for 5 pizzas

Step-by-step explanation:

Answer:

Go on You Tube and look up

Converting Exponential Equations to Logarithmic Equations - College Algebra Tips

Answer:

Adult ticket = $4,5

Student ticket = $3

.

Step-by-step explanation:

Let say adult ticket is x and student ticket is y. so we get:

→ 8x + 13y = 75 (×5) 40x + 65y = 375

→ 10x + 9y = 72 (×4) 40x + 36y = 288

.

Eliminate both equations

40x + 65y = 375

40x + 36y = 288    

29y = 87

[tex]y = \frac{87}{29}[/tex]

[tex]y = 3[/tex]

.

Substitute the value of y to one of equations

[tex]10x + 9(3) = 72[/tex]

[tex]10x + 27 = 72[/tex]

[tex]10x = 72 - 27[/tex]

[tex]10x = 45[/tex]

[tex]x = \frac{45}{10}[/tex]

[tex]x = 4,5[/tex]

.

Happy to help :)

Answer:

iwiwjjwjwjwjbba abaha ajajaj ajaj

Step-by-step explanation:

wjis sisi sjaijs aibaia aihwoh ha ajj w

Answer:

1. =     (all numbers powered by zeros are 1)

2. >    (the smaller the number gets when a number powers a fraction)

3. >    (-5)^2 will equal 25 but -5^2 will equal =25

Answer:

1. =

2. >

3. <

Step-by-step explanation:

2.5^0 = 1

1.5^0 = 1

(1/3)^4 = 0.0123

(1/3)^5 = 0.0041

5^1 = 5

-5^2 = 25

hope this helps. i am in algebra two so you can trust my answer. Happy Holidays! stay safe

Answer:

3x > 6

x > 2

Step-by-step explanation:

Answer:

4.0 hope this helps!!6

Answer: Option A

Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest

Answer:

A represents a positive number

Step-by-step explanation:

(−9.8) x (-23.5) = 230.3x

Answer:

4x-3=x+2

4x-x=3+2

3x=5

x=5/3

Answer:

Rob.

Step-by-step explanation:

If we take Eric's unit rate and multiply the denominator by two, it will be 14 minutes. Rob's denominator is also 14 minutes. This makes it easier on ourselves. If we multiply the bottom number we also have to multiply the top. So, on Eric's unit rate, we will take the 3 pages and mltiply it by 2 to get 6. 6 is less than 8, so Rob takes the win.

Answer:

what equation can you give more through instructions please

Answer:

10 percent

Step-by-step explanation:

40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.

Answer:

-20/3

Step-by-step explanation

5/6 x (-8)

-5/6  x 8    multiplying a( + )and a (-  )= a(-)  

-5/3  x 4     reduce with the greatest common factor 2

-20/3      

Answer:

For the first one, 29,000 s, 29,500 s, and 29,999 s.

For the second one, no because the bookcase is taller than the doorway.

Oof hope I'm correct and was able to help <3

Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms

Step-by-step explanation:

Answer:

Item B

Step-by-step explanation:

A:

density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3    

This may be platinum.

B.

density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3

This cannot be pure platinum.

C.

density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3

This may be platinum.

Answer: Item B