A rectangle with an area of 24 square units has length x+1 and width 4x-6. find the value of x.

Answers

Answer 1

Answer: $area = length \cdot width \n \nA = 24 s^2 \n \n l=x+1 , \ \ w=4x-6 \n \n A=lw\n \n24 =(x+1)(4x-6)$

$24 =4x^2-6x+4x-6 \n \n4x^2-6x+4x-6 -24=0\n \n4x^2-2x-30=0 \ \ / :2\n \n2x^2-x-15=0 \n \na=2, \ b=-1 , c= -15$

$\Delta =b^2-4ac = (-1)^2 -4\cdot2\cdot (-15) = 1+120=121\n \nx_(1)=(-b-√(\Delta) )/(2a)=(1-√(121))/(2*2 )=( 1-11)/(4)=(-10)/(4)=- (5)/(2) \n \nx_(2)=(-b+√(\Delta) )/(2a)=(1+√(121))/(2*2 )=( 1+11)/(4)=(12)/(4)=3 \n \nUse \ positive \ value \ of \ x : \n \n x =3$

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Please explain how you got the answer

Answers

$\bf (-y+4)(2y-1)\implies \stackrel{(-y)(2y-1)}{-2y^2+y}~~+~~\stackrel{(4)(2y-1)}{8y-4}\implies -2y^2+9y-4$

notice, just like in any multiplication, you can simply multiply each term of either polynomial times the other, sum them up and then cancel like-terms.

The answer is −2y^2 + 9y − 4

I simplified by multiplying -y and 2y, 4 and 2, 2y and 1, and -y and -1 which simplified again is the answer above.

Tosha is making muffins for breakfast. The recipe calls for 2 1/8 cups of white flour and 1 3/4 cups of wheat flour. What is the total amount of flour in the muffin recipe?

Answers

2 1/8 + 1 3/4

3/4 = 6/8

1/8 + 6/8 = 7/8

2 + 1 = 3

3 + 7/8 = 3 7/8

There is a total of 3 7/8 cups of flour.

Answer:

Step-by-step explanation:

osha is making muffins for breakfast. The recipe calls for 2 cups of white flour and 1 cups of wheat flour. What is the total amount of flour in the muffin recipe?

3 cups

4 cups

What multiplies to 5 and adds to 6

Answers

5 and 1 multiply to 5 and add to 6

Plz quick! 100 ptsA shade of green palnt is to be mixed with 3 parts blue and 2 parts yellow. Ten gallons of green palnt are to be mixed. How many gallons of yellow palnt must be used?

a. 2
b. 4
c. 6 2/3
d. 5

Answers

Answer:

Hmm I think D but don't take my word for it just a guess

Step-by-step explanation:

Standing in your tree house, 50 feet off the ground, you look down at a 60° angle and notice a
Frisbee. Approximately how many feet from the base of the tree is the
Frisbee?

Answers

$\alpha = 60^o , \ b= 50 \ feet \n \n tan\alpha =(b)/(a)\n \ntan60^o = (b)/(50)\n \n√(3)=(b)/(50)\ \ / \cdot 50\n \nb=50√(3) \approx 50\cdot 1.73 = 86.5 \ feet \n \nAnswer : \ Frisbee \ is \ about \ 50 \ feet \ from \ the\ base \ of \ the \ tree$

Use an area model to multiply (3x+7)(4x+5).
Fill in the blanks with the correct numbers.

Answers

Answer:

12^2 + 43x + 35

Step-by-step explanation:

(3x+7)(4x+5)

=(3x+7)(4x+5)

=(3x)(4x)+(3x)(5)+(7)(4x)+(7)(5)

=12x2+15x+28x+35

=12x2+43x+35

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