is the sum of 398 and 6578 odd or even?

Answer:

[tex]k=1\text{ or } k=4[/tex]

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

[tex](x^2+5x+7)\div(x+k)[/tex]

So, a polynomial by a binomial factor.

Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.

We want our remainder to be 3. So, P(a)=P(-k)=3.

Therefore:

[tex](-k)^2+5(-k)+7=3[/tex]

Simplify:

[tex]k^2-5k+7=3[/tex]

Solve for k. Subtract 3 from both sides:

[tex]k^2-5k+4=0[/tex]

Factor:

[tex](k-1)(k-4)=0[/tex]

Zero Product Property:

[tex]k-1=0\text{ or } k-4=0[/tex]

Solve:

[tex]k=1\text{ or } k=4[/tex]

So, either of the two expressions:

[tex](x^2+5x+7)\div(x+1)\text{ or } (x^2+5x+7)\div(x+4)[/tex]

Will yield 3 as the remainder.

Answer:

B

Step-by-step explanation:

Just answer it

BBSJSSJJSNSNNSOAOOALAKA

Answer:

A. The domain is the set of all real numbers.

D. The range is the set of all real numbers.

Step-by-step explanation:

The graph shows a polynomial function.

These are defined for any real values of x.

Answer:

1/3 because you go up one and right three until the line and the grid prefectly intersect

Answer: The width of the new gym is 40 meters,

the length and width of the new gym are

✔ 2

times the length and width of the old gym.

Step-by-step explanation:

Pls give brainliest!! Have a nice day!!

Answer:

40 meters and 2

Step-by-step explanation:

Answer:

X = 43

Step-by-step explanation:

X + 2 = 45

X + 2 - 2 = 45 - 2

All you have to do is add 2 more to 43 and you'll get 45, so 43 is your answer.

Given:

32 and 28 are the two numbers.

To find:

(a) The GCF of 32 and 28.

(b) Using the GCF, find the factor of (32-28).

Solution:

(a)

The factor forms of the given numbers are:

[tex]32=2\times 2\times 2\times 2\times 2[/tex]

[tex]28=2\times 2\times 7[/tex]

It is clear that, 2 and 2 are the common factors in both.

[tex]GCF(32,28)=2\times 2[/tex]

[tex]GCF(32,28)=4[/tex]

Hence, the GCF of 32 and 28 is 4.

(b)

Using the GCF we need to find the factor of (32-28).

[tex]32-28=4\times 8-4\times 7[/tex]

Taking out the GCF, we get

[tex]32-28=4\times (8-7)[/tex]

Hence, [tex]32-28=4\times (8-7)[/tex].

Answer:

impossible, but two ways:

either:

x=16/7

or:

7x+8

Step-by-step explanation:

if it is 7x-4+12, then it is 7x+8 because it is an expression.

If it is 7x-4=12, then it is x=16/7 because it is an equation.

otherwise, it is python programming or impossible.

Answer:

4(4.5 + 9.5)

Step-by-step explanation:

Answer:4(4.5+9.5)

Step-by-step explanation:

Answer:

heres a very simple one: x-18= -8 for x=10

Step-by-step explanation:

it just very simple, if you don't have any other choice.

Answer:

Step-by-step explanation:

Answer:

Your Welcome...

Step-by-step explanation:

Answer:

The red line is: y = 2x -4

The blue line is: y = -1/2x + 1

Answer:

AC=DB

x + 3=3x-19

x+22=3x

22=2x

11=x

find AC:

AC= 11+3

AC=14

14 is your answer!!

Answer:18

Step-by-step explanation:

Because 40% of 45 is 18

Given:

The expression is

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

To find:

The result after subtracting the radicals.

Solution:

We have,

[tex]9\sqrt{x}-3\sqrt{x}[/tex]

We need to combine these terms.

Taking out common factors, we get

[tex]=(9-3)\sqrt{x}[/tex]

[tex]=6\sqrt{x}[/tex]

The result after subtracting the radicals is [tex]6\sqrt{x}[/tex].

Therefore, the correct option is B.

Answer:

C

Step-by-step explanation:

The right answer is C because in this case n is lesser or equal to 0.

Answer:

1. yes

2. no

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The midsegment should be half the length of the segment at the bottom.

2(x+4)=4x-2

2x+8=4x-2

10=2x

x=5

I hope this helps! :)

Answer:

11 cans of cat food...........

Step-by-step explanation:

£0.79 x 11 = £8.69

£8.69 - £2 = 6.69

Answer:

Eleven (11) cans of cat food!

============================================

Explanation:

On that diagram, the unmarked angle above the (6x-8) is equal to (5x+12). This is because the unmarked angle and the angle marked with (5x+12) are corresponding angles. Corresponding angles must be congruent if you want line m to be parallel to line n.

From here we add up (5x+12) and (6x-8) and set that sum equal to 180. Solve for x

We get the following:

(5x+12)+(6x-8) = 180

5x+12+6x-8 = 180

(5x+6x)+(12-8) = 180

11x+4 = 180

11x = 180-4

11x = 176

x = 176/11

x = 16

Answer:

B : √5g^5h^2

Step-by-step explanation:

Answer:  5x+(-20)=-15x  Step-by-step explanation:

Answer:the answer is c

Step-by-step explanation:

Answer:

$68

Step-by-step explanation:

Answer:

68 is what she bought it for

Step-by-step explanation:

got it right

Answer:

1/72

Step-by-step explanation:

2^-3 x 3^-2

½³×⅓²

⅛×⅑

1/72

compare to the correct answer on the picture. If not helped you can use a graph calculator and it should let you know wether or not you’re correct

Answer:$105

Step-by-step explanation:

I think but the way I done it was a 100 *1+5

Answer:

who is that? Maybe i know this person...

Step-by-step explanation:

Step-by-step explanation:

f(3)= 5(3) +2

= 15 + 2

=17

Please give give brainliest

D