How do I factor 5n^2 +19n+12

Writing equations of lines

Valentin [98]

Step-by-step explanation:

Equation of straight line is y=mx+c

choose any two points on straight line

for me I choose:(-3,11) and (3,-1)

use these two points to find gradient,m.

m= (-1-11)/(3-(-3))

m= -2

now, y=-2x+c

choose any point on the straight line

I choose point (3,-1)

sub the point into the equation to find c

-1=-2(3)+c

c=5

equation: y=-2x+5

7 0

2 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

Help plsssssssssssss

svetlana [45]

Answer:

5. a) 2.140 + 1.725 = 3.865

b) 29.99 + 1.42 = 31.41

c) 6.157 - 1.009 = 5.148

6) 7.4 - 0.0022 = 7.2978 ✅

7.39 - 0.0012 = 7.3888

7. 140minutes / 2 hours and 20 minutes

6 0

2 years ago

Https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app

Anarel [89]

Answer:

srry i need points

Step-by-step explanation:

8 0

2 years ago

I'd like 75% of my order 6 feisty's cupcakes, and the rest frosty's.<br> how many frosty's do I get?

Wittaler [7]

You would get 2 frostys cause every 25% you get 2 feisty cupcakes and to get to 100% you need 25% more therefore you get 2 frostys

5 0

2 years ago