I need help! Will this would be very appreciated!pls
I need help! Will this would be very appreciated!pls - 1

Answers

Answer 1
Answer:

Answer:

No real

solution

Step-by-step explanation:

Firstly, let us check if we would be having a real solution

We start by rewriting the equation

We have this as;

8x^2 -25x + 24 = 0

We proceed to get the discriminant

Mathematically, we have this as;

D = b^2 - 4ac

b is the coefficient of x which is -25

a is the coefficient of x^2 which is 8

c is the last number which is 24

So we have;

D = (-25)^2 - 4(8)(24)

D = 625 - 768 = -143

Since the value of the discriminant is negative, there cannot be real roots

What we have as solution are complex roots


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Tickets to a play cost $14 each by mail, plus a $2 processing fee for each order or one or more tickets. Write a rule to describe the total cost as a function of the number of tickets.
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Solve for x:    x to the negative 3rd power is equal to 27 over 64

A and B share the cost in a ratio of 3:2 . The cost is ?85; how much does A pay?

Answers

Answer:

The amount of money A pays is \$51

Step-by-step explanation:

Let

x-----> amount of money A pays

y-----> amount of money B pays

we know that

x+y=85 ------> equation A

(x)/(y)=(3)/(2)

so

y=(2)/(3)x ------> equation B

substitute equation B in equation A and solve for x

x+((2)/(3)x)=85

(5)/(3)x=85

x=85*3/5=\$51

Factor this trinomial completely.15x²+11x-12
OA. (3x+3)(5x-4)
OB. (3x+4)(5x-3)
C. (x+3)(15x-4)
OD. (x+4)(15x-3)

Answers

Answer:

B

Step-by-step explanation:

given the trinomial

15x² + 11x - 12

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 15 × - 12 = - 180 and sum = + 11

the factors are + 20 and - 9 , since

+ 20 × - 9 = - 180 and + 20 - 9 = + 11

use these factors to split the x- term

15x² + 20x - 9x - 12 ( factor the first/second and third/fourth terms )

= 5x(3x + 4) - 3(3x + 4) ← factor out (3x + 4) from each term

= (3x + 4)(5x - 3)

The rectangle is 3 3⁄4 centimeters long and 2 1⁄2 centimeters wide. What is the area of this rectangle?please help me ASAP
Ive been struggling

Answers

Answer:

The answer to your question is    Area = 9 3/8

Step-by-step explanation:

Data

length = 3 3/4 cm

width = 2 1/2 cm

Process

1.- Write the equation of the Area of a rectangle

   Area = length x width

2.- Convert the values to improper fractions

     3 3/4 = (12 + 3)/ 4 = 15/4

     2 1/2 = (4 + 1) / 2 = 5/2

3.- Substitution

      Area = (15/4)(5/2)

4.- Simplification

      Area = 75/8

5.- Convert to a mixed fraction

                       9

                8   75              

                        3

6.- Result

   Area = 9 3/8

Help with distance between points in geometry.Two equations given

y=-5/4x+3.5
4y+10.6=-5x

Answers

rearrange equations so they look nicer:
y = -5/4x + 7/2
4y = -4x + 14

make both equations equal 4y:
4y + 10.6 = -5/x
4y = -5/x -10.6

this means that:
-4x + 14 = -5/x - 10.6

rearrange to find x:
[multiply by x]
-4x^2 +14x = -5 - 10.6x
4x^2 - 14x + 10.6x + 5 = 0
4x^2 -3.4x + 5 = 0

use the quadratic equation: x = (-b ± √(b^2 - 4*a*c)) / 2a
for this equation, a = 4, b = -3.4 and c = 5
write the answer in the form (x - answer one) (x - answer two)
this will give either two answers. Input these into the equation 4y = -4x +14 to find the coordinates.

To find the distance between these two points:

distance = √(change in x) + (change in y)

Final answer:

To find the distance between two points using given equations, solve the equations simultaneously to find the coordinates of the points and then use the distance formula.

Explanation:

To find the distance between two points using the given equations, we first need to find the points of intersection. We can do this by solving the given equations simultaneously to find the values of x and y. Once we have the coordinates of the two points, we can use the distance formula to find the distance between them.

  1. First, solve the given equations simultaneously to find the values of x and y.
  2. Substitute the values of x and y into the distance formula: d = √((x2 - x1)^2 + (y2 - y1)^2).
  3. Calculate the distance using the given formula.

Learn more about Distance between points here:

brainly.com/question/4058851

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In the data set below, what is the mean absolute deviation? 1, 4, 2, 8, 4, 8

Answers

Answer:

4.5

Step-by-step explanation:

1±4±2±8±4±8=27

27÷6=4.5

lewis has a bucket with a 5 gallon capacity. lewis puts 12 pints of soapy water in the bucket to wash his car. how many gallons of soapy water are in lewis's bucket? how many more quarts of soapy water will the bucket hold?

Answers

12 pints of soapy water.

8 pints = 1 gallon.

1 pint = 1/8 gallon

12 pints = 12*(1/8)

12 pints =  (12/8) gallons

               = 3/2 = 1.5 gallons.

Since the bucket is 5 gallon capacity, It can hold:

5 - 1.5

= 3.5 gallons more.

But 1 gallon is = 4 quarts.

3.5 gallons = 3.5 * 4 = 14 quarts more.