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3 years ago

Write the rules for factoring. x method, difference of squares

Mathematics

1 answer:

ch4aika [34]3 years ago

6 0

Difference-of-Squares Formula:

For a difference of squares a2 – b2, the factorization is:

(a – b)(a + b)

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2x+3y=1 and y=-2 - 9 solve using linear combination method. Please explain steps.

kaheart [24]

Answer:

$x=17$

Step-by-step explanation:

$2x+3y=1$

$y=-2-9$

In order to combine these two equations, an idea you need to keep in mind is finding a way of setting these equations as equal to each other. I saw that each equation shared a common value, $y$ . In this case, we need to isolate $y$ in the first equation so that both equations $=y$ .

$2x+3y=1$

$3y=-2x+1$

$\frac{3y}{3}=\frac{-2x+1}{3}$

$y=-\frac{2}{3}x+\frac{1}{3}$

With this, we now know that both $-2-9$ and $-\frac{2}{3}x+\frac{1}{3}$ are equal to $y$ , so we can set them equal to each other.

$y=-\frac{2}{3}x+\frac{1}{3}$

$y=-11$

$-\frac{2}{3}x+\frac{1}{3}=-11$

Reply to this if anything I'm saying or doing is confusing in any way, or if you find a mistake. :) Solve for $x$ .

$-\frac{2}{3}x+\frac{1}{3}=-11$

$-\frac{2}{3}x=-11-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{33}{3}-\frac{1}{3}$

$-\frac{2}{3}x =-\frac{34}{3}$

$-\frac{2}{3}x(-\frac{3}{2})=-\frac{34}{3}(-\frac{3}{2})$

$x=\frac{102}{6}=17$

$x=17$

Hopefully this answer is correct AND makes sense in terms of how I achieved it. Again, reply to this with any questions or mistakes I made and I'll do my best to answer or fix them.

4 0

3 years ago

HELP!!! NO CLUE WHAT TO DO HERE!!!

Mariulka [41]

Answer:

7.7

Step-by-step explanation:

square root 59 and it's 7.681, round to tenth to get 7.7

8 0

2 years ago

Hello! Please help asap

ValentinkaMS [17]

Answer:

Hello! answer: 55

Step-by-step explanation:

55 + 35 = 90 HOPE THAT HELPS!

3 0

3 years ago

renting paddle boats for Lakeshore paddle boats costs $10 per hour plus a one-time fee of $4 renting paddle boats from Lake padd

Anna11 [10]

Answer:

More than 2 hours

Step-by-step explanation:

Let number of hours be x

Lakeshore paddle cost:

10x + 4

Lake paddle cost:

Required inequality:

10x + 4 < 12x
12x - 10x > 4
2x > 4
x > 2

Lakeshore paddle costs less when time of rent is greater than 2 hours

3 0

3 years ago

The gas tank on a car holds 15.5 gallons. If the car goes 387.5 miles on a single tank, how many miles per gallon does the car g

Ostrovityanka [42]

Answer:

25 miles per gallon

Step-by-step explanation:

if you divide the number of miles(387.5) by the number of gallons (15.5) you should get 25miles per gallon

5 0

3 years ago