Bryan is buying notebooks and pens at an office supply store. Notebooks cost $3.59 and pens cost $1.49. He can spend up to $13 on these items. Let x represent the number of notebooks. Let y represent the number of pens. Enter an inequality that represents the situation.

Answer:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

Step-by-step explanation:

Given polynomial [tex]g[/tex]:

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

A factor of polynomial is [tex](x+2)[/tex].

To find:

Equation of the polynomial as the product of linear factors.

Solution:

First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.

As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.

That quadratic will have 2 solutions.

Solving the quadratic in linear will give us the answer.

Result of division:

[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]

Now, solving the quadratic:

[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]

So, the linear equation can be written as:

[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]

Answer:

x = 120

Step-by-step explanation:

x/12 - 9 = 1

Inverse operations

x/12 - 9 = 1

       +9    +9

x/12 = 10

 *12    *12

x = 120

Answer:

x=120

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

[tex]25x + 30y = 340\\y = 2x\\[/tex]

x=number of hours Isaiah worked.

y=number of hours Cooper worked

Answer:

x=16 alternate interior angles converse

Step-by-step explanation:

Answer:

7(x+5)

Step-by-step explanation:

The greatest common factor is 7

7*x + 7*5

Factor out the 7

7(x+5)

Answer:

20!

Step-by-step explanation:

Answer: 25% of 80 is 20 so if you need to add them it would be 100 and if you need to minus it would be 60

Step-by-step explanation:

Answer:

y = 2x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)

m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = 2x - 3 ← equation of line

The list of single digit primes is {2,3,5,7}. The largest prime is 7, so B = 7 is the largest possible value.

Also note how 707,747 rounds to 708,000 when rounding to 3 significant figures.

Answer:

bruh bruh bruh burh ty sm

Bru i finna dip chip & let it rip

sorry br*h is censored for some reason

Answer:

C 13 inches

Step-by-step explanation:

Because the plant grows two inches every week so if by the second week it is 7 inches tall just add 3 more weeks or 6 inches of growth to the 7 inches and you get your answer 13 inches

Answer:

A 75

Step-by-step explanation:

i did flvs

Answer:

75 degrees im doing the test now

Step-by-step explanation:

Answer:

Question 1: -3 and 6 in that order

Question 3: 3 and y=1/2x+3 in that order

Question 2: 2 and y=2x+4 in that order

Step-by-step explanation:

:)

Answer:

325.6

Step-by-step explanation:

Answer:

28 pints of yellow paint needed

Step-by-step explanation:

Mixture of green paint = 9 pints of blue paints : 12 pints of yellow paint

Blue paint : yellow paint = 9 : 12

To make the same shade of green paint using using 21 pints of blue paint, how much yellow would you need?

Let

x = pints of yellow pint needed

Blue paint : yellow paint = 21 : x

Equate the ratios to find x

Blue paint : yellow paint

9 : 12 = 21 : x

9/12 = 21/x

Cross multiplication

9 * x = 12 * 21

9x = 252

Divide both sides by 9

x = 252 / 9

= 28

pints of yellow pint needed = x

= 28

Answer:

A im sure

Step-by-step explanation:

Step-by-step explanation:

D. The lines intersect at a right angle

Answer:

AAS

Step-by-step explanation:

Hope this helps

Answer:

The volume of water in the pool over time from when the hose is placed in the pool until the pool is full is defined by the equation  and its graph is given below.

Explanation:

The total capacity of the pool is 20,000 gallon.

It is given that the pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour. So the initial volume of water is 5000.

Let the time is defined by t. So, the volume of water in the pool after time t is defined as,

The capacity of the pool is 20,000 gallon, therefore the maximum value of V(t) is 20,000.

The maximum value of t is 12, since the time is always positive, therefore we can say that,

The below graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full. The initial point is (0,5000) and the other point is (12,20000).

Answer:

the two points will be (0,5000) and (12,20000

Step-by-step explanation:

Answer:

g(x) will be 4 units under f(x), and will be parallel.

Step-by-step explanation:

The only thing changing is the constant, or y-intercep. This is shown in -4, so 4 units lower. Slope will stay the same because it has not been modified in the expression for g(x).

Answer:

The graph of g(x) is the graph of​​ ​f(x)​ translated 4 units down.

Step-by-step explanation:

Answer: -1 would be greater than negative two, along with 20, 1000.

-2 is a negative number, so any number that is -1 or higher is greater than -2

Answer:

1,2,3

Step-by-step explanation:

Answer:

3 times

Step-by-step explanation:

Firstly we calculate the number of minutes between 8 and 11 am

The number of hours is 3 hours

The number of minutes is 180 minutes since 1 hour is 60 minutes

Now out of 180, to know the number of times that they both leave, we need to get the multiples of both between 0 and 180

The multiples are;

60, 120, 180

This means that they leave together 3 times

Answer:

Step-by-step explanation:

5.00 for 2 loaves is $2.50 a loaf.

She wants 5 loaves for $12.50

5*2.50= $12.50 so she is correct.

About 28cm

circumference of a circle =radius×3.14

3.14÷circumference of the circle (88cm)=28.04.

About 28cm.

Answer:

Step-by-step explanation:

Equation for weight of toy cars:

Equation for weight of toy trucks:

Solving the system by substituting y:

Intersection point is (5, 50)

See attached graph

Answer:

In the first picture is B

In the second is C

Step-by-step explanation:

Answer:

the first one is A. 2n + 2 and the second is C. 3(y + 2)

Step-by-step explanation:

So for the first one, 5n + 2 - 3n, is basically combining the factors with the variable n, so you subtract 3n from 5n, giving you 2n + 2, or A.

The second one is kinda reverse. You have to find the one that makes the most sense via Distributive Property. So what you do is separate 3 from the others and put y + 6 in parentheses, like this:

3(y + 6)

But this isn't the answer, as if you do the distributive property with this answer, you would get 3y + 18, and that's not what we want to get. So what we have to do is divide 6 by 3, giving us 2, thus giving us our answer of C.

Hope I helped! ^w^

Answer:

[tex]V=15.62\ cm^3[/tex]

Step-by-step explanation:

The volume of a cube is given by the formula :

V = s³, where s represents the side length of the cube

The side length of Marie's cube is [tex]2\dfrac{1}{2}\ cm[/tex]. We need to find the volume of her cube. For this, we can use the formula of the volume of a cube such that,

[tex]V=(2\dfrac{1}{2})^3\\\\=(\dfrac{5}{2})^3\ cm^3\\\\=\dfrac{125}{8}\ cm^3\\\\=15.62\ cm^3[/tex]

So, the volume of her cube is [tex]15.62\ cm^3[/tex].