If
s= t+7s/5 and s= -2 what is the value of t?

A) -24
B) -4
C) 4
D) 24

Given:

Zeroes of a polynomial are –2, –4, –3 + 4i.

To find:

The polynomial function of least degree with real coefficients in standard form.

Solution:

According to the complex conjugate root theorem, if a complex number a+ib is a zero of a polynomial, then its conjugate a-ib is also a zero of than polynomial.

–3 + 4i is zero of the polynomial. So, by complex conjugate root theorem -3-4i is also a zero of required polynomial.

If c is a zero of p(x), then (x-c) is a factor of p(x).

–2, –4, –3 + 4i, -3-4i are zeroes of the polynomials. So, (x+2), (x+4), (x+3-4i), (x+3+4i) are the factors of the required polynomial.

Let the required polynomial be p(x), so

[tex]p(x)=(x+2)(x+4)(x+3-4i)(x+3+4i)[/tex]

[tex]p(x)=(x^2+4x+2x+8)((x+3)^2-(4i)^2)[/tex]    [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16i^2)[/tex]    [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9-16(-1))[/tex]    [tex][\because i^2=-1][/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+9+16)[/tex]

[tex]p(x)=(x^2+6x+8)(x^2+6x+25)[/tex]

[tex]p(x)=x^2(x^2+6x+25)+6x(x^2+6x+25)+8(x^2+6x+25)[/tex]

[tex]p(x)=x^4+6x^3+25x^2+6x^3+36x^2+150x+8x^2+48x+200[/tex]

Combining like terms, we get

[tex]p(x)=x^4+(6x^3+6x^3)+(25x^2+36x^2+8x^2)+(150x+48x)+200[/tex]

[tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex]

Therefore, the required polynomial is [tex]p(x)=x^4+12x^3+69x^2+198x+200[/tex].

.........................................................I am d u m b

Answer: 12 by 12  by 5 by 5

Step-by-step explanation: 12*5 = 60

12+12+5+5

=34

Answer:

reflection across the x axis.

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

Step-by-step explanation:

I'm that's hard to do

Answer:

10x

Step-by-step explanation:

product In math means multiplication, whiles and means addition

Answer:

Whether a team had zero, one, or two Liberos for the first

sets of the match, they may designate new Liberos for the

deciding set.​

sheet at the start of the match. If zero or one Libero is designated on the line-up sheet, the coach may select a different Libero for subsequent sets, but may not have two Liberos. If two Liberos are designated on the line-up sheet for Set 1, those are the only two Liberos who may play for that team for the match. b.

Step-by-step explanation:

No. Whether a team designates one or two Liberos for the start of the match, the player(s) designated as Libero prior to the match will be the only players who may participate as a Libero in the match, except in the cases where re- designation is permitted

Step-by-step explanation:

9(x + 7)² divided by 3(x - 1)(x + 7)

= 3(x + 7)/(x - 1).

Cobra Kai yehdhehdhehehebdhdhdvdgdhdhdhdbdhdbdh

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Answer:

[tex]\boxed {\boxed {\sf 45}}[/tex]

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

[tex]g(x)=x^2-5[/tex]

Since we want to find g(4), we have to substitute 4 in for x.

[tex]g(4)=(4)^2-5[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

[tex]g(4)=16-5[/tex]

Subtract 5 from 16.

[tex]g(4)= 11[/tex]

Now, since g(4) equals 11, we have:

2. f(11)

The function for f is:

[tex]f(x)= 4x+1[/tex]

We want to find f(11), so substitute 11 in for x.

[tex]f(11)= 4(11)+1[/tex]

Solve according to PEMDAS and multiply first.

[tex]f(11)= 44+1[/tex]

Add.

[tex]f(11)= 45[/tex]

(f o g)(4) is equal to 45.

Answer:

ok sooo just go over the grfat and mm  count it up to the dot.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

From the question we have

[tex]d = \sqrt{ ({ - 9 - - 10})^{2} + ({1 - - 11})^{2} } \\ = \sqrt{ ({ - 9 + 10})^{2} + ({1 + 11})^{2} } \\ = \sqrt{ {1}^{2} + {12}^{2} } \\ = \sqrt{1 + 144} \\ = \sqrt{145} \: \: \: \: \: \: \: \: \\ = 12.041594[/tex]

We have the final answer as

Hope this helps you

Answer: 9

Step-by-step explanation:

I think this is the answer based off a estimate

Answer:

The slide is approximately 12.75 feet.

Step-by-step explanation:

We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.

5 ÷ 3 = 1.7 when rounded to the nearest tenth

Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.

If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.

7.5 x 1.7 = 12.75

Therefore, the slide is approximately 12.75 feet.

Hope this helps! :D

Answer:

256, 1024, 4096

Step-by-step explanation:

Multiply the number by 4 to get the next one.

Brainliest please

Answer:

2,-11

Step-by-step explanation:

create an x/y table and plug in #s for ordered pairs

-6x + 1 = y [plug in 2 for x]

-12 + 1 = -11 [ordered pair is 2, -11]

Answer:

Both (-2, 13) and (-1, 7)

Step-by-step explanation:

Got it from Khan

The concept:

We are given the equation:

[tex]5^{x(x-1)} = 1[/tex]

Which can be simplified as:

[tex]5^{x^{2} - x} = 1^{1}[/tex]

Since any number to the power '0' is 1

x² - x must be equal to 0 for the given equation to be true

Solving for x:

x² - x = 0

x(x-1) = 0

now, we can divide both sides by either x OR x-1

So we will see what we get for either choice:

x = 0/(x-1)                           x-1 = 0/x

x = 0                                  x = 1

Hence, the value of x is either 0 or 1

Answer:

x=5

Step-by-step explanation:

Since there is no slope, there must be a constant y.

The constant y for this coordinate is 5.

When we have the equation x=5, that creates a straight line through all coordinates with 5 as a y-value.

Answer:

20%

Step-by-step explanation:

((498/415)-1)*100

= (1.2-1)*100

= 0.2*100

= 20

Answer:

X= 4/7

Step-by-step explanation:

I used a calculator :)

Answer:

1.5

i think

Step-by-step explanation:

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

Answer:

D

Step-by-step explanation:

|-6x+3|=0

-6x+3=0

-6x=-3

x=-3/-6

x=1/2