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Nataly_w [17]
3 years ago
12

Simplify the expression -2x^2(4x − 3). -8x3 − 6x2 -8x3 + 6x2 8x3 − 6x2 8x3 + 6x2

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
To simplify the expression we are going to use the distributive property of multiplication: a(b+c)=ab+ac.
We can infer from our problem that a=-2x^2, b=4x, and c=-3. So lets apply the property to simplify our expression:
-2x^2(4x-3)=(-2x^2)(4x)+(-2x^2)(-3)
(-2x^2)(4x)+(-2x^2)(-3)=-8x^3+6x^2

We can conclude that the correct answer is <span>-8x3 + 6x2</span>
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A factory creates 80 kilograms of steel in 1 hour. How many kilograms does the factory make in 4 hours?
fgiga [73]

Answer:

320

Step-by-step explanation:

80*4

6 0
2 years ago
What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3
V125BC [204]

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

y=mx+q

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

q=-1

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

m=\frac{y_2-y_1}{x_2-x_1}

Taking the two points at (-2,3) and (1,-3), we find:

m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2

So the equation of the line is

y=-2x-1

Now we have to re-arrange it in the standard form, so in the form

ax+bx=c

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

y+2x=-1

So, option 3).

6 0
3 years ago
A recipe requires 31 cup of milk for each 41 cup of water. How
avanturin [10]

Step-by-step explanation:

here,

31 cup of milk require 41 cup of water.

1 cup of milk require 41/31 cup of water.

so, 41/31 cup of water is required for 1 cup of milk.

<em>hope</em><em> </em><em>u</em><em> </em><em>get</em><em> </em><em>it</em><em>.</em><em>.</em>

6 0
3 years ago
Find the particular solution to y'=2sin(x) given the general solution is y=C-2cos(x) and the initial condition y(pi/3)=1
mezya [45]

ANSWER

The particular solution is:

y=2-2 \cos(x)

EXPLANATION

The given Ordinary Differential Equation is

y'=2 \sin(x)

The general solution to this Differential equation is:

y=C-2 \cos(x)

To find the particular solution, we need to apply the initial conditions (ICs)

y( \frac{\pi}{3} ) = 1

This implies that;

C-2 \cos( \frac{\pi}{3} ) = 1

C-2( \frac{1}{2} )= 1

C-1= 1

C= 1 + 1 = 2

Hence the particular solution is

y=2-2 \cos(x)

4 0
3 years ago
Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
Leona [35]

Answer:

(\frac{2}{3} , \frac{1}{5})

Step-by-step explanation:

The fastest way to do this is to convert both equations into slope-intercept form and graph it to find the solution point. If you wanted to do this algebraically, you might want to start out by getting rid of the fractions and using either substitution or elimination to find x and y.

4 0
2 years ago
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