By instead of the ax "a number" v a variable favor x, friend can acquire the equation 7x - x = -48. Then, additional simplify the equation by combining favor terms to equal 6x = -48. After that, divide both sides by six to obtain x alone, making your last ptcouncil.net x = -8.Hope this help :)

Lucas scored 9 goals in 4 soccer games last season. Roughly how plenty of points go Lucas typical per game?

**ptcouncil.net:**

**Step-by-step explanation:**

It can be found by integral.

You are watching: Seven times a number minus the number is -48. find the number.

First let"s discover the intersection points.

Only intersection allude is x = 2.

And that is request to find the area in the interval (2, 4).

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We will usage integration through parts.

Looking in ~ the graph, we"ll notice that there is a neighborhood maximum at x=0 and it looks similar on both sides of the y axis, because of this making it symmetric about the y axis provided the options

**ptcouncil.net:**

**Step-by-step explanation:**

see the attached figure to much better understand the problem

we recognize that

Triangles JKL and also MNP are similar by AA Similarity Theorem

so

Remember that

If two numbers are comparable then the proportion of its equivalent sides is proportional

so

substitute the provided values

solve for x

Simplify

"two much less than 3/2 of a number (x) is no more than 5 1/2"3/2x-2simplify1.5x-2 +2 both political parties 1.5x÷1.5 both sides xcircle is closedarrow is come the left (1st number heat )"the amount of 2 times a number (x) and -2 is at least 8"2x+-2>/8 (>/ way greater than or equal to)2x-2>/8+2 both political parties 2x>/10÷2 both sides x>/5circle is closed arrowhead is to the best (4th number line)"seven subtracted indigenous 4 time a number (x) is more than 13"4x-7>13+7 both political parties 4x>20÷4 both political parties x>5circle is open arrow is come the best (2nd number line)"four included to 3 time a number (x) is much less than 19"3x+4 -4 both political parties 3x ÷3 both political parties x circle is open arrow is to the appropriate (3rd number line)