Mathematics, 28.08.2019 03:00 pupucitomarron

Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14

Answers: 1

Show answers

Answers

Answer from: carlshiabrown

$x^2 - 5x - 14=\\
x^2+2x-7x-14=\\
x(x+2)-7(x+2)=\\
(x-7)(x+2)$

Answer from: chem64

The factors are (x-7) and (x+2)

Step-by-step explanation:

we have

$x^{2} -5x-14$

To find the factors equate the equation to zero

$x^{2} -5x-14=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} -5x=14$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -5x+6.25=14+6.25$

$x^{2} -5x+6.25=20.25$

Rewrite as perfect squares

$(x-2.5)^{2}=20.25$

$(x-2.5)=(+/-)\sqrt{20.25}$

(x-2.5)=(+/-)4.5

x=2.5(+/-)4.5

x=2.5+4.5=7

x=2.5-4.5=-2

therefore

$x^{2} -5x-14=(x-7)(x+2)$

using a graphing tool see the attached figure

The factors of the quadratic equation are the x-intercepts (values of x when the value of the function is equal to zero)

Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14

Answer from: Quest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

Answer from: Quest

the formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

we have the points (-2, 7) and (2, 3). substitute:

$m=\dfrac{3-7}{)}=\dfrac{-4}{2+2}=\dfrac{-4}{4}=-1$

answer: the slope is equal -1.

Other questions on the subject: Mathematics

Mathematics, 20.06.2019 18:04, kaveon2019

Ineed with this math problem p(65)=500×1.0325*65 the star means that you have to times it like 1.0325×1.0325?

Answers: 2

continue

Mathematics, 21.06.2019 12:40, imhorribleatmath90

The price of a particular stock is represented by the linear equation , where x represents the number of weeks the stock has been owned and y represents the price of the stock, in dollars. if this relationship continues, what is the price of the stock after it has been owned for 12 weeks? $92.55 $94.37 $100.52 $114.39

Answers: 3

continue

Mathematics, 21.06.2019 17:30, Serenitybella

Which are factor pairs of 350? choose all answers that are correct. a) 30 and 12 b) 35 and 10 c) 70 and 5 d) 2 and 125

Answers: 2

continue

Mathematics, 21.06.2019 22:30, renaudciera

Use the following statements to write a compound statement for the conjunction or disjunction. then find its truth value. p: an isosceles triangle has two congruent sides. q: a right angle measures 90° r: four points are always coplanar. s: a decagon has 12 sides. a) a right angle measures 90° or an isosceles triangle has two congruent sides; true. b) a right angle measures 90° and an isosceles triangle has two congruent sides; true. c) a right angle measures 90° and an isosceles triangle does not have two congruent sides; false. d) a right angle measures 90° or an isosceles triangle does not have two congruent sides; true.

Answers: 3

continue

You know the right answer?

Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14...