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3 years ago

Is -5 a solution to the equation 6x +5 = 5x + 8 + 2x? Explain.

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

Answer:

No -5 is not the solution, But x =-3 is the solution.

Step-by-step explanation:

Given:

$6x+5= 5x+8+2x$

We need to find the solution for above equation we get;

Solution:

Now when we put the value of x =-5 we get

$6x+5 =5x+8+2x\\\\6\times-5+5 = 5\times-5+8+2\times-5\\\\-30+5 = -25+8-10\\\\-25\neq -27$

hence -5 is not the Solution for given equation.

On Solving the above equation we get;

$6x+5 =7x+8$

Now Combining the like terms we get;

$7x-6x =5-8$

Now Using Subtraction property we get;

$x = -3$

Hence The solution to equation is -3.

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What are the x and y intercepts for 2x-6y=12 and how do you find them? Thanks!

quester [9]

X intercept is
$\frac{ 2}{6} x$
y intercept is 2

3 0

3 years ago

Which set represents the same relation as the graph below? A B C D

eimsori [14]

Answer:

B. {( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ), ( 6,-4 )}

Step-by-step explanation:

We are given the graph showing the points of a relation.

According to the graph, we see that, the given points of the relation are:

( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ) and ( 6,-4 ).

As, we see that there are 7 points in the relation.

So, option C and D are not correct as they have 5 and 6 points respectively.

Also, option A is wrong as it contains different set of points.

Hence, we get that option B is correct.

That is the set representing the graphed relation is {( -1,-2 ), ( -3,-2 ), ( -5,4 ), ( 2,0 ), ( 3,3 ), ( 4,5 ), ( 6,-4 )}

8 0

3 years ago

Read 2 more answers

I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per squ

Jobisdone [24]

Answer:

$\frac{a(450-8a^2)}{4}$

is the volume in terms of side a

Step-by-step explanation:

Given that you I built a storage shed in the shape of a rectangular box on a square base. The material that I used for the base cost $4 per square foot, the material for the roof cost $2 per square foot, and the material for the sides cost $2.50 per square foot; and I spent $450 altogether on material for the shed.

Let a be the side of square and h be the height

Total cost of materials = cost for floor + cost for roof + cost for sides

= area of floor (4) + lateral area (2.50)+roof area (2)

$=4a^2+4ah+4a^2\\=8a^2+4ah = 450$ $h = \frac{450-8a^2}{4a}$