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3 years ago

HELP SOMEONE PLEASE!!!!! Factor completely 10x2 + 2x − 8. 2

Mathematics

2 answers:

natka813 [3]3 years ago

6 0

Answer:

2(5x - 4)(x + 1)

Step-by-step explanation:

10x^2 + 2x − 8 =

First, factor out the GCF of all terms which is 2.

= 2(5x^2 + x - 4)

5x^2 factors into 5x and x.

= 2(5x )(x )

-4 factors into -4 and 1, -1 and 4, and -2 and 2. Use the set of two factors in the proper positions that will give the middle term.

= 2(5x - 4)(x + 1)

UkoKoshka [18]3 years ago

5 0

Answer:

$\large \boxed{2(5x-4)(x+1)}$

Step-by-step explanation:

$10x^2 + 2x - 8$

Rewrite 2x as 10x - 8x.

$10x^2 + 10x-8x - 8$

Factor out the two groups.

$10x(x+1)-8(x+1)$

Take x+1 as a common factor.

$(10x-8)(x+1)$

Factor 10x - 8.

$2(5x-4)(x+1)$

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Masja [62]

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3 years ago

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Mrac [35]

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Step-by-step explanation:

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2 years ago

An arena receives $1,700 per event for 12 concerts. If the costs for this sponsorship total $14,000, what is the profit margin f

miss Akunina [59]

Answer:

total profit margin for all 12 concert is $6,400.

profit margin for all one concert is $533.33

Step-by-step explanation:

Amount of money received for one event = $1700

Total no of concert = 12

Total money received for 12 event = Amount of money received for one event * Total no of concert

Total money received for 12 event = $1700 *12 = $20,400

Total cost of sponsorship = $14,000

Profit margin is the difference money invested and money earned.

here total investment is $14,000

Total money earned is $20,400

Therefore profit margin = money earned - total investment

= $20,400 - $14,000 = $6,400

Therefore total profit margin for all 12 concert is $6,400.

However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)

profit margin for one concert = total profit margin for all 12 concert/total no of concert = $6,400/12 = $533.33

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6 0

3 years ago

Solve by graphing.

melisa1 [442]

Given:

The given system of equations is:

$2x+y=1$

$x-2y=8$

To find:

The solution to this system of equations by graphing.

Solution:

We have,

$2x+y=1$

$x-2y=8$

The table of values for first equation is:

x y

0 1

1 -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x y

0 -4

2 -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

y-coordinate: -3

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2 years ago

for a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height,

kolbaska11 [484]

Problem

For a quadratic equation function that models the height above ground of a projectile, how do you determine the maximum height, y, and time, x , when the projectile reaches the ground

Solution

We know that the x coordinate of a quadratic function is given by:

Vx= -b/2a

And the y coordinate correspond to the maximum value of y.

Then the best options are C and D but the best option is:

D) The maximum height is a y coordinate of the vertex of the quadratic function, which occurs when x = -b/2a

The projectile reaches the ground when the height is zero. The time when this occurs is the x-intercept of the zero of the function that is farthest to the right.

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1 year ago