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3 years ago

2x+5y=11 and 4x+3y=1 solve with elimination

1 answer:

7 0

Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1

To eliminate you need to "subtract", so you need to multiply one of the equations by -1.

4x + 10y = 22
-4x -3y = -1
------------------
0 + 7y = 21
y = 3

Now plug 3 into either one of the equations to get x.

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Jay needs at least 5,000 points to be nominated for MVP she currently has 3800. Write an inequality to find P the total amount o

ddd [48]

Answer:

1200

Step-by-step explanation

3800+p=5000

5000-3800=1200

7 0

3 years ago

Which products result in a difference of squares? Select three options. (x minus y)(y minus x) (6 minus y)(6 minus y) (3 + x z)(

ValentinkaMS [17]

Answer:

Third option: $(3 + xz)(-3 + xz)$

Fourth option: $(y^2 - xy)(y^2 + xy)$

Sixth option: $(64y^2 + x^2)(-x^2 + 64y^2)$

Step-by-step explanation:

By definition, we can factor the Difference between two squares:

$a^2 - b^2 = (a+b)(a-b)$

In order to find which products results in a difference of squares, we need to check each option:

$1.\ (x - y)(y - x)=(x)(y)+(x)(-x)-(y)(y)+(-y)(-x)=xy-x^2-y^2+xy=-x^2-y^2+2xy$

The product does not result in a difference of squares.

$2.\ (6 - y)(6 - y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

Using Distributive Property for the other options, we get:

$3.\ (3 + xz)(-3 + xz)=(3)(-3)+(3)(xz)+(xz)(-3)+(xz)(xz)=\\\\=-9+3xz-3xz+x^2z^2=x^2z^2-9=(xz)^2-(3)^2$

The product results in a difference of squares.

$4.\ (y^2 - xy)(y^2 + xy)=(y^2)(y^2)+(y^2)(xy)-(xy)(y^2)-(xy)(xy)=\\\\=y^4+xy^3-xy^3-x^2y^2=y^4-x^2y^2=(y^2)^2-(xy)^2$

The product results in a difference of squares.

$5.\ (25x - 7y)(-7y + 25x)=(25x - 7y)(25x - 7y)$

Since the signs are equal ( $-$ ), the product will not result in a difference of squares.

$6.\ (64y^2 + x^2)(-x^2 + 64y^2)=(64y^2 + x^2)(64y^2 - x^2)=\\\\=(64y^2)(-x^2)+(64y^2)(64y^2)+(x^2)(-x^2)+(x^2)(64y^2)=\\\\=-64y^2x^2+4096y^4-x^4+64y^2x^2=\\\\=4096y^4-x^4=(64y^2)^2-(x^2)^2$

The product results in a difference of squares.

5 0

3 years ago

Read 2 more answers

NEED HELP ASAP!! I have no idea how to complete the problem I just get that the answer is no solution

True [87]

Well since we can use a base of 1 we know that 1 - 45 is less than 4 but -1 + 45 is not, which follows the assumption that x>0, but now we need to know what x is less than to fit the inequality. If we use 5 as a trial we can see that 5 - 9 = -4 so 0<x<5 is your answer. Hope this helps I basically used trial and error. If you want to check try 3 or 4 for x and it will work but 6 will not.

4 0

3 years ago

Rachelle can walk 2.5 miles in 40 minutes. At this rate, how far can she walk in 1 hour?

Marina CMI [18]

Answer:

Rachelle can walk 3.75 miles in am hour.

4 0

4 years ago

Read 2 more answers

Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level . What was the change in her elevation?

Ugo [173]

Answer:

86 ft

Step-by-step explanation:

<em>First method: Logical thinking</em>

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

<em>Second method: Calculate a distance in math</em>

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

4 0

3 years ago