All categories

3 years ago

Use substitution to write an equivalent quadratic equation. (3x + 2)2 + 7(3x + 2) – 8 = 0

Mathematics

2 answers:

ANEK [815]3 years ago

6 0

Let z = 3x+2. Then, by substitution, your equation is
.. z^2 +7z -8 = 0

_____
This equation can be factored as
.. (z +8)(z -1) = 0
.. x = -8 or +1
Then
.. 3x +2 = -8 or +1
.. 3x = -10 or -1
.. x = -10/3 or -1/3

nirvana33 [79]3 years ago

3 0

CORRECT ANSWER : u^2+7u-8=0, where u=3x+2

You might be interested in

Point A is located at (4, 8) and point B is located at (14, 10) .

Elan Coil [88]

Answer:

point is (13/4 , 17/2)

Step-by-step explanation:

Let (x1,y1) and (x2,y2) be the end points of a line segment, 'A' is the point on the line segment such that A divides the line segment in the ratio p : q then the coordinates of A (x,y) is given by,

x = x1 + p/w(x2 - x1) and y= y1 + p/w(y2 - y1) where w = p+q

It is given that,

Point A is located at (4, 8) and point B is located at (14, 10) .

Let P be the point on AB such that P divides AB in the ratio 1:3

Find the coordinates of P(x,y)

w = 1+3 = 4

x = x1 + p/w(x2 - x1) = 4 + 1/4(14 -4) = 4 + 10/4 =13/4

y= y1 + p/w(y2 - y1) = 8 + 1/4(10 - 8) = 8 + 1/2 = 17/2

point is (13/4 , 17/2)

4 0

3 years ago

Find the sum of the arithmetic series 11+20+29+...+407

Assoli18 [71]

The Answer is 467
Hops this helps

4 0

3 years ago

Factor a^2+6a+6b–b^2 plz

vovangra [49]

Answer:

(a+b) (a-b+6)

4 0

3 years ago

The radius of a cylindrical box is (2x+3) inches. Height of the gift box is 3 times the radius. What is the surface area of cyli

GarryVolchara [31]

The surface area of cylinder in standard form is:

$A = 100.48x^2+301.44x + 226.08$

Solution:

Given that,

Radius of cylinder = 2x + 3 inches

Height of cylinder = 3 times radius = 3(2x + 3)

Height of cylinder = 6x + 9 inches

The surface area of cylinder is given by formula:

$A=2 \pi rh+2 \pi r^2\\\\A = 2 \pi r(h+r)$

Where, "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

$A = (2 \times 3.14 \times (2x+3))(6x + 9 + 2x + 3)\\\\A = (6.28 \times (2x+3))(8x + 12)\\\\A = (12.56x + 18.84)(8x+12)\\\\On\ simplifying\ we\ get\\\\\ A = 100.48x^2 +150.72x+150.72x + 226.08\\\\A = 100.48x^2 + 301.44x+226.08$

Thus the surface area of cylinder in standard form is found

3 0

3 years ago

Four more than three times a number is greater than twenty-two.

erastovalidia [21]

Here is your inequality: 4+3x>22

6 0

3 years ago