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What is the solution of the quadratic equation 2x2 + 5x – 1 = 0? Solve by using the quadratic formula.

a. 5+√17 / 4

b. -5+√33 / 4

c. 5+√33 / 4

d. -5+√17 / 4

Answer:

12 pieces

Step-by-step explanation:

Total length of the board = 48 in

It must be divided into 4 pieces of equal length

This means, there will be 3 cut to have 4 pieces

Each cut will cause a waste of 3/16 in.

Total waste = 3 cut × 3/16 in

= (3*3)/16

= 9/16 in

Length of board remaining = Total length of the board - Total waste

= 48 - 9/16

= (768-9)/16

= 759/16 in

How long will each piece be after the cuts are made?

Length of each piece after the cut = Length of board remaining / 4

= 759/16 ÷ 4

= 759/16 × 1/4

= 759/64

= 11.859375

Approximately 12 pieces to the nearest whole number

Answer: C

Step-by-step explanation: there are 4 different variables (x, y, a, and b)

Answer:

Step-by-step explanation:

[tex]rate=\frac{interest \times 100}{principle \times time } \\=\frac{1440 \times 100}{4000 \times 6 } \\=6 \%[/tex]

Answer:[tex]P=\frac{2}{5}[/tex]

Step-by-step explanation:

Given

A movie theater has 7 seats in the front row  

12 seats in the middle row

11 seats in the back row

Probability first person who enters the theater will be in the middle row

[tex]P=\frac{\text{No. of middle seats}}{\text{total seats}}[/tex]

[tex]P=\frac{12}{7+12+11}=\frac{12}{30}[/tex]

[tex]P=\frac{2}{5}[/tex]

Answer: x = 46

Step-by-step explanation: The theorem is:

The sum of all exterior angles of a polygon is 360

Here, our polygon is a "quadrilateral" -- 4 sided figure

We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:

The value of x is 46

Answer: Answer: x = 46

Step-by-step explanation: The theorem is:

The sum of all exterior angles of a polygon is 360

Here, our polygon is a "quadrilateral" -- 4 sided figure

We can say that the sum of all 4 exterior angles is 360. We set up an equation and solve for x. Shown below:

The value of x is 46

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Divide 169 by 3.25 and you get 52.

Divide 221 by 4.25 and you get 52.

Do this for all of the rest, and they will all be 52.

Hope this helps!

Yes. The ratios of towers to customers​ (thousands) are all equivalent to a unit rate of nothing. Therefore, option A is the correct answer.

Proportional relationships are relationships between two variables where their ratios are equivalent.

The given table is

Cell Phone Towers          Customers​ (thousands) Towers

        3.25                                          169

        4.25                                          221

        5.25                                          273

        7.25                                          377

Here, the ratio of Cell Phone Towers : Customers​ (thousands) Towers

3.25 : 169

= 325/16900

= (325÷325)/(16900÷325)

= 1/52

4.25 : 221

= 425/22100

= 1/52

5.25 : 273

= 525/27300

= 1/52

7.25 : 377

= 725/37700

= 1/52

Therefore, the ratio of given cell phone towers to customers​ (thousands) towers are equivalent.

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Answer:

9

Step-by-step explanation:

3*3

Answer:

No solution, D

Step-by-step explanation:

If you rewrite the second one to be the y=mx+b form then you get

8x-14= -2y

Divide by -2 and get

-4x+7=y

Because the slopes are the same the lines will never intersect which means there is no solution

Answer:

10.77

Step-by-step explanation:

by using Pythagoras theorem we can find the distance between the points,

so...

distance between the points, which is the hypotenuse will be xy

difference between the y coordinates will be dy

difference between the x coordinates will be dx

according to pythagoras theorem,

[tex]xy^{2} = dx^{2} + dy^{2} \\xy^{2} = (-6-(-2))^{2} + (-5-5)^{2}\\xy^{2} =(-4)^{2} +(-10)^{2} \\xy^{2} =16+100\\xy^{2} =116\\xy =\sqrt{116} \\xy=10.77[/tex]

Answer:

2+2=4

Step-by-step explanation:

Answer: they are not

Step-by-step explanation:

y=x has a slope of 1 because the m value is 1.

x+y=-2 has a slope of -1 because when we subtract x from both sides, we get that y=-x-2 and the m value is -1

Answer:

B. 21

Step-by-step explanation:

The fractions are there to just make the problem seem complicated, but just rewrite it without the fractions.

"What is a common multiple for 7 and 3?"

In this problem it's easy, all you have to do is guess and check.

A: A doesn't work. 7 is not a factor of 18.

B: B works! Both 3 and 7 are factors of 21.

C: C doesn't work. 7 is not a factor of 3.

D: D doesn't work. Neither are a factor of 4.

They only leave us with one solution, B.

Answer:

Each answer multiplied by 10 that lead to the ultimate answer for 10 x 3 will be even.

Step-by-step explanation:

10×1= 10

10×2= 20

10×3= 30

Answer:

87 degrees

Step-by-step explanation:

the three angles of a triangle add up to one hundred eighty degrees.

1. Add the degrees of the known angles together

56 + 37 = 93

2. Since a triangle adds up to one hundred eighty degrees, you would subtract your known degrees from the total

180 - 93 = 87

Answer:

$-17

Step-by-step explanation:

Answer:

im pretty sure the other person got it correct

Answer:

Part A; 15x

Step-by-step explanation:

Part A; 15(67)

= $1005

Part B; ??

The number of tickets to be sold if, The cost of the banquet hall is $500, The cost per ticket is $15, the Total money to be raised is $1000, is 67, and the equation is given by 1000 = 15x.

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

In other terms, it is a mathematical statement stating that "this is equivalent to that."

Given:

The cost of the banquet hall = $500,

The cost per ticket = $15,

Total money to be raised = $1000

Write the equation of the number of tickets as shown below,

1000 = 15x

Here, x is the number of tickets,

x = 1000 / 15

x = 66.67 or 67

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Answer:

$90.98

Step-by-step explanation:

Answer:

y=1, x=2

Step-by-step explanation:

so first solve for y. plus x=3y-1 into the other equation.  

so 3(3y-1)+4y=10.  

Simplify

9y-3+4y=10           Add 3 to both sides

9y+4y=13               Add

13y=13 .                  Divide 13 from both sides

y=1

Plug 1 into the first equation.  

x=3(1)-1

x=3-1

x=2 and y=1

Answer:

Option C : 173.8 km² is the correct answer.

Step-by-step explanation:

Given that:

Side length = 6 kilometers

A shape with 8 sides is called an octagon, therefore, the given figure is an octagon.

Area of octagon is given by;

Area = [tex]2(1+\sqrt{2})a^2[/tex]

Putting a=6

Area = [tex]2(1+\sqrt{2})(6)^2[/tex]

Area = [tex](2+2\sqrt{2})(36)[/tex]

Area = 173.82

Rounding off to one decimal place

Area = 173.8 km²

Hence,

Option C : 173.8 km² is the correct answer.

Answer:

8.6

Step-by-step explanation:

To find the distance between two points we use the formula posted below

All we need to do is figure out what the points are on the graph and plug them into the formula... we end up with

the square root of (5-(-2)^2+(2-(-3)^2 and get the answer of 8.602325267

then we round to the nearest tenth and get 8.6

Answer:

NHM: 80/10 = 8, 8 X 1 = 8

P: 80/8 = 10, 10 X 5 = 50

BG: 80 - 50 - 8 = 22

botanical gardens 22

The orders are 1 stay the same. 2 change to 4, 3 change to 2, 4 change to 3, and 5 stays the same.

Multiple: 1/ 8 & 2/ 4  = 1 · 2/ 8 · 4  = 2/ 32  = 1 · 2/ 16 · 2  = 1/ 16   Multiply both numerators and denominators. Result fraction keep to lowest possible denominator (lowest=2). In the next intermediate step , cancel by a common factor of 2 gives 1/ 16 .  In words - one eighth multiplied by two quarters = one sixteenth.

Final result: 1/16

Answer:

y = -2x + 12

Step-by-step explanation:

Step 1: find the slope

y = 1/2x + 5

The equation of the line is

y = mx + c

m - slope

m = 1/2

Note : if two lines are perpendicular to the other, both lines are negative reciprocal of each other

m = -2

Step 2 : using a point slope form

y - y1 = m( x - x1)

( 2 , 5)

x1 = 2

y1 = 5

y - 2 = -2( x - 5)

y - 2 = -2x + 10

y = -2x + 10 + 2

y = -2x + 12

The equation of the line is

y = -2x + 12

I dunno the answer so I just found another answer I found in here for this question:P

Sorry- it’s useless

Answer:

the y-intercept is -1 bc that is where it meets (0,-1)

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

11+3=14, x+x=2x, divided by two, x=7

Answer:

x=6

slope (m) = -3

Step-by-step explanation: