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igor_vitrenko [27]
3 years ago
11

Simplify and factor the following expression 3(2x+4)+2(3x-4)

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

Answer:

12x+4

Step-by-step explanation:

irina1246 [14]3 years ago
6 0
3 (2x + 4) + 2 (3x - 4)

6x + 12 + 6x - 8

6x + 6x + 12 - 8

12x + 4
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List all the factors of 40
densk [106]
The foctor of 40 I this = 1,2,4,5,8,40
3 0
3 years ago
Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.
Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y)  from the focus is

√[(x -  -8)^2  + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x -  -8)^2  + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2  = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0
3 years ago
Listen
makkiz [27]

Answer:

The answer is the third equation. A = 250*(1 +0.016)^(0.75)

Step-by-step explanation:

Since Javier deposited $250 into an account with annual interest rate, then as the years passes his account will grow in the manner shown below:

account(0) = 250

account(1) = account(0)*(1 + 1.6/100) = account(0)*(1 + 0.016) = account(0)*1.016

account(2) = account(1)*1.016 = account(0)*1.016*1.016 = account(0)*(1.016)²

account(3) = account(2)*1.016 = account(0)*(1.016)²*1.016 = account(0)*(1.016)³

account(n) = account(0)*(1.016)^n

Where n is the number of years, account(0) is the initial amount. In this case only 9 months have passed, so we need to convert this value to years, dividing it by 12, which is 9/12 = 0.75. The initial amount was 250, so the equation is:

A = 250*(1.016)^(0.75)

The answer is the third equation.

7 0
3 years ago
Read 2 more answers
Describe real life situations that use parallel lines ?????
Anna71 [15]
A bed making a frame
A tv
A window
These are my answers
5 0
3 years ago
Read 2 more answers
How can you tell if two equations for parallel lines or perpendicular lines. please explain?
kicyunya [14]
To find out if they are parallel we need to see if the gradient is the same, to do this we need to get y in terms of x:
assuming the first equation is x+y+7=0
y=-x-7
and
y=x-3
The gradient is the coefficient of x (the number infront of x)
For equation 1 the gradient is -1, and for number 2 it is 1, therefore they are not parallel.
However to check if they are perpendicular we need to see if their gradients multiply to equal -1.
-1*1=-1 therefore they are perpendicular
5 0
3 years ago
Read 2 more answers
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