What are the x-intercepts of the polynomial function
g(x) = (2x-8)(x+1)(9 – 3x)2 ?
(Hint: There should be three of them!)

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

Answer:

slope = 3/2

y intercept = 2

y = 3/2x + 2

Step-by-step explanation:

to find the slope you will you (y₂-y₁) ÷ (x₂-x₁)

(11-5) ÷ (6-2) =

6 ÷ 4 = 3/2

slope = 3/2

to find the y intercept you with use the slope intercept formula (y = mx+ b) and use one point given for x and y

for the example im going to use the point (2,5)

5 = 3/2 (2) + b

5 = 3 + b

subtract three from both sides to find b (y-intercept)

b = 2

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

Answer:

i think it is 48 because  each gift bag will have the same number of each item,

so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 48,80 and 64 is 16

Answer:

Step-by-step explanation:

you can't get the answer if you don't know x

Answer:

5n-6= -2

Step-by-step explanation:

The difference of...... this means its asking us to subtract one number from another number

5 times a number...... that means 5n

6..... since it said DIFFERENCE, it would be -6

is -2........ this means the answer to the equation is -2

So the equation is 5n-6= -2

Hope this helps!

Answer:

Step-by-step explanation:

1/12

Answer:

x-5=sqrt(2x+5)

then square both sides

x2-10x+25=2x+5

x2-8x+20=0

rest is trivial

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

Given

x - [tex]\sqrt{2x+5}[/tex] = 5 ( subtract x from both sides )

- [tex]\sqrt{2x+5}[/tex] = 5 - x ( divide all terms by - 1 )

[tex]\sqrt{2x+5}[/tex] = x - 5 ( square both sides )

2x + 5 = (x - 5)²

2x + 5 = x² - 10x + 25 ( subtract 2x + 5 from both sides )

0 = x² - 12x + 20 ← in standard form

0 = (x - 2)(x - 10) ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 10 = 0 ⇒ x = 10

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions

x = 2

2 - [tex]\sqrt{4+5}[/tex] = 2 - [tex]\sqrt{9}[/tex] = 2 - 3 = - 1 ≠ 5

Thus x = 2 is an extraneous solution

x = 10

10 - [tex]\sqrt{20+5}[/tex] = 10 - [tex]\sqrt{25}[/tex] = 10 - 5 = 5 = right side

Thus x = 10 is the solution

The answer would be John is 18 years old

Answer:

q=30/31

To find:

q

Step-by-step explanation:

(7q - 6) (4q - 5) = 0

7q(4q - 5) + -6(4q - 5) = 0

7q × 4q - 7q × 5 - 6 × 4q + 6 × 5 = 0

28q - 35q - 24q + 30 = 0

28q - 59q + 30 = 0

-31q + 30 = 0

-31q = -30

q = -30/-31

q = 30/31

hope you understood:))

Answer:

$16.00 * (100% + 8%) =  $17.28

Answer:

Step-by-step explanation:

an hour, or 60 minutes

Answer:

60 minutes

Step-by-step explanation:

i d 1 0 t

Answer:

The answer is A: 9/11

Answer:

i think x=31.5

Step-by-step explanation:

the answer is x = 31.5

Answer:

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

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

Answer:

The new temperature is 13 degrees Fahrenheit

Step-by-step explanation:

Answer:8 gumballs 3 jaw breakers

Step-by-step explanation:

Using an inequality to represent the expression and it's constraint, the required expression would be 0.50g + 0.30j ≤ 3

Given the Parameters :

(Cost of gumball × number of gumballs + Cost of Jawbreaker × number of gumbreakers) ≤ maximum cost

0.50g + 0.30j ≤ 3

Hence, the required inequality expression is 0.50g + 0.30j ≤ 3

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Answer:

A.) 8.5 miles

Step-by-step explanation:

I think its a because it says "THE SHORTEST possible" distance between the houses. So A.) 8.5 miles is the correct answer because A.)8 .5 miles is the shortest answer in the list of answers.

Hope this helped.

The shortest distance between the two houses is 13 miles.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

By observing the diagram we conclude that the shortest distance is the hypotenuse of the right-angled triangle that will form.

Given, The base is 12 miles and the height is 5 miles.

Therefore by Pythagoras' theorem,

Hypotenuse = √(5² + 12²).

Hypotenuse = √(25 + 144).

Hypotenuse = √(169).

Hypotenuse = 13 miles.

So, The shortest distance between the houses is 13 miles.

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Answer:

it looks to be the second answer

Step-by-step explanation:

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

Answer:

8/3

Step-by-step explanation:

[tex](-2)^{3}[/tex]÷(-3)

Remember the order of operations,

1. parenthesis

2.exponenets

3. multiplication/ division

4. addition/ subtraction

[tex](-2)^{3}[/tex]÷(-3)

= -8 / -3

= 8/3

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[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]

[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]

[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]

Collect like terms

[tex]25x + 35 = 360[/tex]

Subtract sides 35

[tex]25x + 35 - 35 = 360 - 35[/tex]

[tex]25x = 325[/tex]

Divide sides by 25

[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]

[tex]x = 13[/tex]

Thus ;

[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]

[tex]RQ \: \: arc = 10x + 30[/tex]

[tex]RQ \: \: arc = 10(13) + 30[/tex]

[tex]RQ \: \: arc = 130 + 30[/tex]

[tex]RQ \: \: arc = 160°[/tex]

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Answer:

D

Step-by-step explanation:

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

Answer:

n = -2

Step-by-step explanation:

-38 = -2n -12 +18n +6

-38 =16n -6

-38 +6 =16n

-32= 16n

n=-2

I'm assuming the base salary of this employee is $25.00

25.00+2%

Convert the percent into a decimal.

0.02

Now multiply.

25.00x0.02=0.5

Now add to the base salary.

25.00+0.50=$25.50

The 2% increase was $0.50

The total is $25.50

nya

Answer:

This is how the graph would look like

Step-by-step explanation:

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.

The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.

When x = 0, y = -6

Coordinate = (0, -6)

When y = 0,   [tex]0.5x^{2} + 2x - 6 = 0[/tex]

[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]

Coordinates = (2,0), (-6,0)

Abscissa of vertex of graph = -b/2a = -2

Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8

coordinate = (-2, -8)

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Answer:

-100

Step-by-step explanation:

Answer:

Once again, both are infinite. It is a function.

Step-by-step explanation: