All categories

3 years ago

X(2x-5)+x(2x-3)=(4x+6)(x-3)

Mathematics

2 answers:

Trava [24]3 years ago

8 0

Answer X=9

9( 18 -5) + 9( 18 -3)= (36 +6)(6)

117 135 = 252

252=252

Helga [31]3 years ago

4 0

Answer:

x=9

Step-by-step explanation:

You might be interested in

A rug is to be centered in a room so that the border around it is of a consistent width on all four sides. If the room is 10 ft

aleksley [76]

Answer:

The width of the border can be 9 feet or 3.5 feet.

Step-by-step explanation:

Let the width be x

Length of room = 10 feet

Breadth of room = 15 feet

Length of rug = 10-2x

Breadth of rug = 15-2x

Area of rug = $(10-2x)(15-2x)$

We are given that the area of the rug is 24 square feet.

So, $(10-2x)(15-2x)=24$ ---A

$150-20x-30x+4x^2=24$

$150-24-50x+4x^2=0$

$126-50x+4x^2=0$

$2(x-9)(2x-7)=0$

$x=9,\frac{7}{2}$

$x=9,3.5$

Substitute x =9 in A

$(10-2(9))(15-2(9))=24$

$24=24$

LHS = RHS

Substitute x = 3.5

$(10-2(3.5))(15-2(3.5))=24$

$24=24$

LHS = RHS

So, The width of the border can be 9 feet or 3.5 feet.

7 0

3 years ago

|x-1|+2<4 solving for x

Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

$|x-1| + 2 - 2 < 4 - 2$
$|x-1|$

Step 2: Solve absolute value.

We know x - 1 < 2 and x - 1 > -2.

Condition 1:

$x - 1 < 2$
$x - 1 + 1 < 2 + 1$ (Add 1 to both sides)
$x < 3$

Condition 2:

$x - 1 > -2$
$x - 1 + 1 > -2 + 1$ (Add 1 to both sides)
$x>-1$

Therefore, the answer is x < 3 and x > -1.

8 0

2 years ago

The ordered pair (a, b) gives the location of point P on the coordinate plane. The value of b is negative. The value of a is not

sergejj [24]

Answer:

Quadrant III ( C )

Quadrant IV ( D )

Step-by-step explanation:

Ordered pair ( a, b )

gives a point P on the coordinate plane

( a, b ) = ( x, y )

given : b = negative ( y-axis )

a ≠ 0 ( i.e. a = negative or positive ) ( x -axis )

Therefore point P is located in the : Third and fourth quadrants

8 0

3 years ago

Read 2 more answers

Does the point (6, 0) satisfy the equation y = x2?

shtirl [24]

Replace x in the equation with the x value of the point (6) and solve. If it equals the y value (0) it is a solution if it noes not equal (0) it is not a solution.

Y = 6^2 = 36

36 is not 0 so (6,0) is not a solution

6 0

3 years ago

Read 2 more answers

3m - 3(m+8) > 3m<br><br><br> (Teacher didn't go over this hopefully I can get an explanation)

zhuklara [117]

Alrighty!

*Note the ">" sign is similar to the "=" sign.

3m - 3(3m + 8) > 3m
3m - 6m + 24 > 3m (distribute)
-3m + 24 > 3m (combine like terms)
24 > 6m (Compute/simplify)
8 > m

Makes sense?

8 0

3 years ago