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gogolik [260]
3 years ago
9

Can you solve -4a^ - (6a-2) + 3 (a^-1).the arrows that are pointing up is exponent 2.also please show work

Mathematics
1 answer:
Burka [1]3 years ago
5 0
First step is to distribute.
-4a^2 - 6a +2 + 3a^2 -3
Combine like terms
-a^2 -6a -1
You might be interested in
How many real solutions does this system of equations have? x^2 + y^2 = 36
Vinvika [58]

Answer:

C:  there are two real solutions

Step-by-step explanation:

x^2 + y^2 = 36 is the equation of a circle centered at the origin and with radius √36, or 6.  Even a rough sketch of this circle would enable you to visualize what is happening here.  

3x – y + 1 = 0 may be solved for y:  y = 3x + 1.  The y-intercept of this straight line is (0, 1).  Plot this point inside the circle of radius 6 mentioned above and then draw a straight line with slope m = 3 through it.  This line will intersect the circle in two places; they represent real solutions.

Alternatively, substitute 3x + 1 for y in x^2 + y^2 = 36:

x^2 + (3x + 1)^2 = 36, or

x^2 + 9x^2 + 6x + 1 = 36, or

10 x^2 + 6x + 1 - 36 = 0, or

10 x^2 + 6x - 35 = 0.  This is a quadratic equation.  We'll use the quadratic formula to find solutions which represent the intersections of this line with this circle:

The coefficients are a = 10, b = 6 and c = -35.  Thus, the discriminant is

b^2 - 4ac, or 6^2 - 4(10)(-35), or 1436.  

Because the discriminant is positive, we can safely conclude that there are two real solutions, that is, two different, real x-values, each representing the x-coordinate of a point of intersection of the circle and the line.

The correct answer to this prolem is C:  there are two real solutions.

4 0
3 years ago
Please help. I don't understand this. Thanks.
neonofarm [45]
Yes;k=-3 and y=-3x is the answer because 2 x -3 = -6 -3 x -3 = -9 and etc..
4 0
3 years ago
Factor x3+x2+x+1 by grouping. What is the resulting expression
zmey [24]

Answer:

(x+1) (x^2+1)

Step-by-step explanation:

x^3+x^2+x+1

Factor by grouping

x^3+x^2           +x+1

Factor out x^2 from the first group  and 1 from the second group

x^2( x+1)  + 1( x+1)

Factor out (x+1)

(x+1) (x^2+1)

7 0
3 years ago
Read 2 more answers
What is the area, in square centimeters, of the isosceles trapezoid below?
cluponka [151]

Answer:

The Area=122.4^2

7 0
3 years ago
Solve the system of linear equations by substitution.
Goryan [66]

Answer:

hey! This was the only part of mathematics I ever enjoyed! So consider this both of our lucky days: Answer is : (2,7)

Step-by-step explanation:

basically plug in Y to the first equation as sox + 4(-x + 9) = 30

x - 4x + 36 = 30- 3x = - 6

x = 2

then plug that in to Y!

Y = -(2) + 9

so Y = 7

and our answer is : (2,7)

6 0
3 years ago
Read 2 more answers
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