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3 years ago

14

The polynomial below is a perfect square trinomial of the form a2 - 2ab + b2

1 answer:

Angelina_Jolie [31]3 years ago

8 0

This is a true statement. Here's how we know. The factors of that general formula are (ax - b)(ax - b). If that is in fact the general formula of the quadratic shown, then our a would be 2 and our b would be 3, since 2 times 2 is 4 which is the leading coefficient, and 3 times 3 is 9 which is the constant. Those factors, filled in accordingly, would be (2x - 3)(2x - 3). If we FOIL those out we should get back the quadratic in question. FOILing gives us

$4x^2-6x-6x+9$

which of course simplifies to

$4x^2-12x+9$

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Fred buys a binder for $4.50 and six reams of paper. Latasha buys an ink cartridge for $17.50 and four reams of paper. Both spen

kondor19780726 [428]

Answer:

The the price of one ream of paper is $6.5.

Step-by-step explanation:

Here, Let us assume the cost of one ream of paper = $ m

<u>The money spent by Fred:</u>

The money spent on a binder = $4.50

The money spent on 6 ream of papers = 6 x ( cost of 1 ream )

= 6 x ($m) = 6 m

⇒The total money Fred spent = Money spent on (binder + 6 ream of papers)

= 4.50 + 6 m ....... (1)

<u>The money spent by Latasha:</u>

The money spent on a cartridge = $17.50

The money spent on 4 ream of papers = 4 x ( cost of 1 ream )

= 4 x ($m) = 4 m

⇒The total money Latasha spent = Money spent on (cartridge + 4 ream of papers)

= 17 .50 + 4 m .... (2)

Also, Both spend the same amount of money

⇒4.50 + 6 m = 17 .50 + 4 m ( from (1) and (2))

or, 6 m - 4 m= 17. 50 - 4, 50

or, 2 m = 13

or, m = 13/ 2 = 6.5

So, the value of m = $6.5

Hence, the the price of one ream of paper is $6.5.

7 0

2 years ago

Lim <br> θ→0 <br> cos(7θ) − 1/sin(5θ)

egoroff_w [7]

This was 4 days ago!!!!!!

6 0

2 years ago

Complete the equation of the line through (-9,7) & (-6,-3)

scZoUnD [109]

Answer:

$y=-\frac{10}{3}x-23$

Step-by-step explanation:

we have the points

(-9,7) and (-6,-3)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3-7}{-6+9}$

$m=-\frac{10}{3}$

step 2

Find the equation in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{10}{3}$

$(x1,y1)=(-6,-3)$

substitute

$y+3=-\frac{10}{3}(x+6)$ ---> equation in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=-\frac{10}{3}(x+6)$

Isolate the variable y

Distribute right side

$y+3=-\frac{10}{3}x-20$

subtract 3 both sides

$y=-\frac{10}{3}x-20-3$

$y=-\frac{10}{3}x-23$

7 0

2 years ago

Ron is tiling a countertop he needs to place 54 square titles in each of 8 rows to cover the counter

DiKsa [7]

He would only be able to make 6 rows with 3/4 of another

8 0

2 years ago

Factor the expression 3x^2-15x

tester [92]

Factor out 3x
Answer: 3x(x - 5)

5 0

2 years ago