2 Justin had 3 rolls of ribbon. He used of a roll of ribbon to tie a parcel and 5 of another roll of ribbon to tie a present. How many rolls of ribbon did he use in all? How many rolls of ribbon did Justin have left?​

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Use these formulas to solve for this equation.}\\\\\\\mathsf{ax^2 + bx + c = 0}\\\\\\\mathsf{x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\mathsf{x^2-14x + 74= 0}[/tex]

[tex]\mathsf{1x^2 + (-14x) + 74= 0}[/tex]

[tex]\large\text{Whereas, a = 1, b = -14, \& c = 74}[/tex]

[tex]\mathsf{x =\dfrac{-(-14)\pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)}}[/tex]

[tex]\mathsf{-(-14) = \bf 14}\\\\\mathsf{(-14)^2-4(1)(74)=\bf -100}[/tex]

[tex]\mathsf{x = \dfrac{14\pm \sqrt{-100}}{2}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf No real solutions}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex] \Large{\boxed{\sf x= 7 \pm 5i} } [/tex]

[tex] \\ [/tex]

The given equation is a quadratic equation. In other words, it is written in the form ax² + bx + c = 0, where a ≠ 0.

[tex] \\ [/tex]

We will solve this equation using the quadratic equation, which is the following:

[tex] \sf x = \dfrac{- b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] \\ [/tex]

First, let's identify the value of the coefficients a, b, and c:

[tex] \\ [/tex]

Then, substitute these values into the quadratic formula:

[tex] \sf x= \dfrac{-(-14) \pm \sqrt{(-14)^2 - 4(1)(74)}}{2(1)} = \dfrac{14 \pm \sqrt{-100}}{2} [/tex]

[tex] \\ [/tex]

Simplify the expression knowing that [tex] \sf \sqrt{-1} = i [/tex], and keep in mind the following property:

[tex] \Large{\boxed{\sf \sqrt{ab} = \sqrt{a}\sqrt{b} }} [/tex]

[tex] \\ [/tex]

[tex] \sf x= \dfrac{14 \pm \sqrt{100 \times (-1) }}{2} = \dfrac{14 \pm \sqrt{100} \times \sqrt{-1}}{2} = \dfrac{14 \pm 10 \times i }{2} \\ \\ \implies \boxed{\boxed{\sf x= 7 \pm 5i}} [/tex]

[tex] \\ [/tex]

Therefore, the two complex conjugate roots of this equation are x = 7 + 5i and x = 7 - 5i.

[tex] \\ [/tex]

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Answer:

pls give brainless

Step-by-step explanation:

How many barrels of oil does the US use per year?

The U.S. uses about 6.6 billion barrels per year. That is only enough oil to last the U.S. about three and a half years without importing oil from other countries. 84% of the reserves are concentrated in four states.

Therefore , the solution of the given problem of square comes out to be the ABCD  square is 18 inches

The side length of a square ABCD is 18 inches Each side of square ABCD is 18 inches The midpoints of ABCD are joined to form a square MNOP The figure is attached below

Here,

We need to find the side length of square MNOP

AMN form a Right angle triangle

We know AM =9  and AN= 9

To find MN , use Pythagoreans theorem

MN2=AM2+AN2

MN2=9square+9 square

MN2=162

Take square root on both sides

MN=9 root 2

so the side of the square MNOP is  9 square root 2 inches

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Answer:

Step-by-step explanation:

X+X+X+Y+Y=

you simply count equal letters and add them x+x+x is 3x and y + y = 2y.

x + x + x + y + y =

3x + 2y

Answer:

Step-by-step explanation:

or the function f(x) = x² what is the

Max. domain if y is restricted to; f(x) = 144 and

f(x) =1286?

Answer:

Step-by-step explanation:

1）√320=8√5

（√125+√45）=8√5

（√500-√20）=8√5

ABC is an equilateral triangle.

2) area=1/2 lengh * h

1/2 * 4√15 * 8√5

=2√15 * 8√5

=80√3

Answer:

P( 44 < X < 56 ) =  0.12

Step-by-step explanation:

Number of seconds one gets to solve the puzzle ( X )

E( X ) = 100 + 0 ) / 2 = 50

Var ( X ) = 833.3333

бx = √833.3333  =  28.868

Determine The approximate probability

P( 44 < X < 56 ) = Δ time given / number of players selected

P( 44 < X < 56 ) = (56 - 44) / 100

                          = 12 / 100 = 0.12

Hi there!

[tex]\large\boxed{P = 4x^2 + 12x + 22}[/tex]

The perimeter of a rectangle is:

P = 2l + 2w

Thus, plug in the given length and width:

P = 2(2x² + 5x + 8) + 2(x + 3)

Distribute:

P = 2(2x²) + 2(5x) + 2(8) + 2(x) + 2(3)

Simplify:

P = 4x² + 10x + 16 + 2x + 6

Combine like terms:

P = 4x² + 12x + 22

Answer:

[tex]4x^2+12x+22[/tex]

Step-by-step explanation:

The perimeter of a rectangle is equal to [tex]2l+2w[/tex] where l is the length and w is the width. So, this rectangle would be equal to [tex]2\left(x+3\right)+2\left(2x^2+5x+8\right)[/tex]. Then, to find the polynomial simplify the expression. To do this first distribute the two 2s. This equals [tex]2x+6+4x^2+10x+16[/tex]. Then, add like terms to finish simplifying. This gives you the final answer of [tex]4x^2+12x+22[/tex].

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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Answer:

vertex: (-1,-2)

roots: (-3,0);(1,0)

axis of symmetry is: x=-1

The number of tennis ball  fit in the machine are 305 balls.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

given dimensions of  machine 15 x 15 x 14

volume of machine is 15 x 15 x 14 = 3150 cubic inches

and shape of ball is spherical,

with dia = 2.7 inches

radius of ball = 2.7/2 = 1.35 inches

volume of sphere is 4/3πr³

V = 4/3πr³

V = 4/3(3.14)(1.35)³

V = 4/3(3.14)(2.46)

V = 10.30 cubic inches

the area covered by 1 ball is 10.30 cubic inches

the number of ball in machine is 3150/10.30

the number of ball in machine  = 305.82 = 305 approx

Hence  305 balls can be fit in machine.

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Answer:

D

Step-by-step explanation:

we have 2 conditions

1. to be a multiple of 6

2. to be between 15 and 70

A and B are not correct because have numbers les than 15

C is not correct because the numbers keep on going passed 70

E is not correct because 70 is not a multiple of 6

D is correct because has both conditions meet

Answer:

(4,-3)

Step-by-step explanation:

The y coordinate stays the same, and the x changes from positive to negative

Answer:

Mei is correct because -9 is to the left of -3 on the number line. ( -9<-3)

Answer:

Mel is correct because -9 is to the left of -3 on the number line.

Step-by-step explanation:

This is because numbers on the left are less so -9 is less than -3.

False

The parent function is the simplest function within a family of functions that defines the general form of that family.

Parent Functions

Parent functions are given in terms of y and x, where y is the output and x is the input. In linear functions, b represents a constant, specifically the y-intercept. Since the form y=b does not have an input it cannot be the parent function of linear lines. The graph of y=b would be a horizontal line with no slope. This does not define the general form of most linear functions. Additionally, since the slope has been changed to zero, it is not considered the simplest form of linear functions.

Linear Parent Function

The true parent function of linear functions is y=x. This function is the simplest linear function and has no transformations. Additionally, when graphed it is a diagonal line that defines the general shape of lines.

To create new linear functions the parent function, y=x, can be transformed by changing the coefficient of x to change the slope or by adding a constant to shift the graph vertically.

Answer:

20

Step-by-step explanation:

5 x 4 = 20

take both numbers and multiply them .

Answer:

okay.................................

Answer:

10.14

Step-by-step explanation

The numbers sum equals 71

and there are 7 # so

71/7

=

Ans.

Answer:

The length of the fence is 6.28x-150 cm.

Step-by-step explanation: ... Since the pool is in a circular shape so the circumference will be the length of the fence.

Answer:

Yes, it is possible

Step-by-step explanation:

Answer:

Y intercept is where x=0. Plug it in the original function find the y intercept

Step-by-step explanation:

Graph?

Answer:

378873

Step-by-step explanation:

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 17- May 6 = 11 days

Therefore, number of mosquitoes inhabiting the city on May 17 will be :

y = 180000(1.07)^11

y = 180000 * 2.1048519522998348950643

y = 378873.351413970281111574

y = 378873 (nearest whole number).

Answer:

xr ≤ 7

Step-by-step explanation:

He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.

Work Shown:

a = old price = 5000

b = new price = 2800

c = change in price

c = b-a

c = 2800-5000

c = -2200

The value of c is negative to indicate a price decrease.

d = percent change

d = (c/a)*100%

d = (-2200/5000)*100%

d = -44%

There is a 44% decrease or discount.

Answer:

D . 64

Step-by-step explanation:

Explanation attached as photo

Answer:

slope is 3/4 or .75

Step-by-step explanation:

Equation of line is

y= .75 + 1.5

hope this helps :)