P(x) is a polynomial. Here are a few values of P(x).
P(-6) = 3
P(-4) = -1
P(4) = 2 P(6) = -5
What is the remainder when P(x) is divided by (x – 6)?
What is the remainder when P(x) is divided by (x + 4)?

Answer:

x= first number y= second

x=2y+9 and x+y=129, these are the equations...solving gives x=89,y=40

Step-by-step explanation:

Answer:

-18 and -9 is the answer

Step-by-step explanation:

3x^2

is the greatest common factor

Answer:

9.9inches

Step-by-step explanation:

From the attachment, the opposite side is debited as "x" while the Hypotenuse is 10.9inches, we can find the third side by using trigonometry

From trigonometry, Sin(x)= opposite/Hypotenuse

Sin(65)=X/10.9

X= Sin(65) ×10.9

X=0.9063×10.9

=9.8688

Hence the third side of the triangle is approximately 9.9inches

CHECK THE ATTACHMENT FOR THE TRIANGLE

Answer:

7

Step-by-step explanation:

When you multiply two numbers together to get a product, those two numbers are considered factors of the product. There are certain operations in math that require comparing two or more numbers and identifying the largest factor they have in common. This is called the greatest common factor (GCF).

Answer:

The first step to find the gcf of 14 and 35 is to list the factors of each number. The factors of 14 are 1, 2, 7 and 14. The factors of 35 are 1, 5, 7 and 35. So, the Greatest Common Factor for these numbers is 7 because it divides all them without a remainder.

so 7 is the greatest common factor of 35+14

The factors of 14 are 1,2,7,14; The factors of 35 are 1,5,7,35.

"how may I apply the distributive property to this expression."

By factoring out 7, the expression 35+14 = 7(5 + 2) and so you have an alternative way of computing the sum.

49 = 7(7).  

Answer:

x=9

Step-by-step explanation:

62=8x-10

8x=72

x=9

Answer:

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

Answer:

-16

Step-by-step explanation

g(-4)=5(-4)+4

g(-4)= -20+4

g(-4)= -16

Answer:-16

Step-by-step explanation: Desmos

Answer:

use www. desmos. com lol

Step-by-step explanation:

Answer:

3.1 × 10^5

Step-by-step explanation:

8.37 ÷ 2.7= 3.1 when you divide you subtract the exponents

Answer:

with what

Step-by-step explanation:

Answer:

$16

Step-by-step explanation:

Let his weekly allowance = x

Amount spent playing golf = x / 2

Amount earned for cleaning car = $4

Final amount at hand = $12

Mathematically ;

x/2 + 4 = 12

x/2 = 12 - 4

x/2 = 8

x = 2 * 8

x = $16

Weekly allowance = $16

Answer:

-1 + 6 = -7

Step-by-step explanation:

you go from -1 add 6 to the left and land on -7

because a - plus a - = a positive

you need to use a positive 6 to get a -7

The value of z₂ - z₁ is -7 -8√(8i). And the second option is correct.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, given that two expressions,

[tex]z_1=9+9\sqrt{3i}\\z_2=2+\sqrt{3i}[/tex]

To find the z₂ - z₁:

So,

[tex]z_2-z_1\\\\=2+\sqrt{3i}-(9+9\sqrt{3i})\\\\=2+\sqrt{3i}-9-9\sqrt{3i}\\\\=-7-8\sqrt{8i}[/tex]

The value of the equation, z₂ - z₁ =  -7 -8√(8i)

Hence, the second option z₂ - z₁ = -7 -8√(8i) is correct.

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Answer:

B is the answer, just took the test

Step-by-step explanation:

Answer:

y = (-9/8)x + 7

Step-by-step explanation:

the line equation for slope intercert form looks like this

y = mx + b

m is the slope

b is the y intercept

The line intercepts the y at b= 7 (as noted in point (0, 7)

To find slope, use the 2 points given and the slope formula

m = (y2 - y1) / (x2-x1)

point (x1, y1) is  (0, 7) and

point (x2, y2) is (8, -2)

plug in the correct spots for m = (y2 - y1) / (x2-x1)

m = (-2 - 7) / (8 - 0) = -9 / 8

substitute y = mx +b = (-9/8)x + 7

I hope this helps :-)

Answer: this table shows a relationship between the number of Popsicles sold in the month of money earned by is a popsicle owner. Is the number of money earned in dollars proportional to the number of Popsicles sold? explain why or why not.

Step-by-step explanation:

Answer:

4-pound bag

Step-by-step explanation:

7.40/5 = 1.48

5.48/4 = 1.37

$1.37 is cheaper

Answer:

Answer below!

Step-by-step explanation:

[tex]15x^{2} -25x=0\\5x(3x-5)=0\\ \frac{5x}{5}=\frac{0}{5} ;x=0[/tex]

3x - 5 = 0

Add 5 to both sides;

3x = 5

Divide both sides by 3;

[tex]x=\frac{5}{3}[/tex]

Answer:

commission

Step-by-step explanation:

the worker is paid primarily through a percentage of their sales total for the commission than a salary or an hourly wage.

so is commission.

Answer:

x = 8

Step-by-step explanation:

12x +12 = 3x +84

12x +12 -12 -3x = 3x -3x +84 -12

12x -3x = 84 -12

9x = 72

9x/9 = 72/9

x = 8

Answer: Answer: x=8

Step-by-step explanation:

12x+12=3x+84

Subtract 12 on both sides:

12x+12-12=3x+84-12

12x=3x+72

Subtract 3x on both sides:

12x-3x=3x-3x+72

9x=72

Divide 9 on both sides:

9x/9=72/9

x=8

Answer:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Step-by-step explanation:

Suppose that G(X) = F(x+ 9). Which statement best compares the graph of

G(X) with the graph of F(x)?

O A. The graph of G(X) is the graph of F(x) shifted 9 units try the left.

B. The graph of G(x) is the graph of F(X) shifted 9 units down.

C. The graph of G(x) is the graph of F(x) shifted 9 units up.

D. The graph of G(X) is the graph of F(x) shifted 9 units to the right.

Given:

The set of ordered pairs.

To find:

Which set of ordered pairs represents a function?

Solution:

A set of ordered pairs represents a function, if there exist unique output value for each input value.

In option A,

{(2, 9), (5, 9), (1, -6), (-5, 5)}

It is a function because all input has unique outputs.

In option B,

{(6, 6), (6, 8), (-8, -7), (-3, -8)}

For x=6, there exist two outputs y=6 and y=8. So, it is not a function.

In option C,

{(1, 8), (9, -3), (7, -4), (7, -6)}

For x=7, there exist two outputs y=-4 and y=-6. So, it is not a function.

In option D,

{(-5, -1), (-3, -7), (-5, 3), (-7, -4)}

For x=-5, there exist two outputs y=-1 and y=3. So, it is not a function.

Therefore, the correct option is A.

From the given option, the  set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}

A coordinate is known to represents a function if all the domain values have a unique value in the codomain.

The x-coordinate point should not be repeated for the coordinate to be a function, otherwise it is not a function.

From the given option, the  set of ordered pairs that represents a function is {(2, 9), (5, 9), (1, -6), (-5, 5)\}

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Answer:

x=6

Step-by-step explanation:

Line ZW and YX are parallel, which means they have the same measurements.

Therefore:

3x+2=20

subtract two from both sides

3x=18

divide by 3

3x/3=18/3

x=6

hope this helps =D

Answer:

reflection

Step-by-step explanation:

Answer:

I need 5 Brainliest before I can become Ace

Step-by-step explanation:

Answer:

A.1

Step-by-step explanation:

looking at the function, you can see that you should use the second equation, x^3-9x^2+27x-25, x>=2

step 1: insert 2 into the equation. (2)^3-9(2)^2+27(2)-25

step 2: simplify equation 8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

The given function is g(x)=[tex]\left \{ {{(\frac{1}{2} )^{x-3} \hspace{6em} x < 2} \atop {{x^{3}-9x^{2} +27x-25} } \hspace{6em}x \geq2}} \right.[/tex].

We need to find the value of g(2).

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Now, g(2)= [tex](\frac{1}{2} )^{x-3} =2[/tex]

g(2)=2³-9(2)²+27×2-25

=8-36+54-25=1

The value of function g(2) is 1. Therefore, option A is the correct answer.

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Answer:

For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Step-by-step explanation:

We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]

The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]

We have b=2 and a= -7

Finding f(b) and f(a)

Finding g(b) by putting x=2

[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]

Finding g(a) by putting x=-7

[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]

Now, finding average rate of change when g(b)=-5 and g(a)=-23

[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]

So, Average rate of change = 2

Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

Answer: C=60t+50

Step-by-step explanation:

$60 an hour,

5 hours before the fixed fee is only $300

but the amount he made for a 5 hour house call was $350,

making the fixed fee $50

Given:

For the kiddie teacup ride at a carnival a person needs to be over 36 inches and at most 60 inches tall.

To find:

The inequality that describes all the heights that are eligible to ride.

Solution:

Let h represents the heights that are eligible to ride.

For the kiddie teacup ride at a carnival a person needs to be over 36 inches. It means, height should be greater than 36 inches.

[tex]h>36[/tex]       ...(i)

For the kiddie teacup ride at a carnival a person needs to be at most 60 inches tall.

[tex]h\leq 60[/tex]       ...(ii)

Using (i) and (ii), we get

[tex]36<h\leq 60[/tex]

Therefore, the required inequality is [tex]36<h\leq 60[/tex].

Answer:

2.438

Step-by-step explanation:

1=0.305m

x=8m

( do cross multiplication)

8=0.305x

x=2.438 or 2.44