X=weekly allowance
x/2=money saved (= money spent).
We can suggest this equation:

x/2+4=12

lowest common multiple=2
x+8=24
x=24-8
x=16

Answer: her weekly allowance is $16.

7 0

3 years ago

B) 2x² - 4x + 3 = 0 a) x² + 3x – 10 = 0

kozerog [31]

Answer:

a. x = 2 , x = -5

b. no real roots

Step-by-step explanation:

a. x² + 3x – 10

= x² - 2x + 5x - 10

= x (x²/x - 2x/x) + 5 (5x/5 - 2*5/5)

= (x - 2) (x + 5)

x - 2 = 0 x + 5 = 0

+ 2 +2 -5 -5

-------------- ---------------

x = 2 x = -5

x = 2 , x = -5

b. 2x² - 4x + 3

This can't be solved because the equation has no real roots, and also the discriminant is negative.

3 0

3 years ago

Change the fraction w-3/w+5 into an equivalent fraction with the denominator w2 + w – 20.

viktelen [127]

ANSWER

$\frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

EXPLANATION

The given fraction is,

$\frac{w - 3}{w + 5}$

To get an equivalent fraction, we multiply both the numerator and the denominator by the same quantity that will give us

w²+w-20

in the denominator.

This implies that,

$\frac{w - 3}{w + 5} = \frac{(w - 3)(w - 4)}{(w + 5)(w - 4)}$

We multiply out the numerators and denominators using the distributive property to obtain,

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 4w - 3w + 12}{ {w}^{2} - 4w + 5w - 20 }$

This simplifies to

$\frac{w - 3}{w + 5} = \frac{ {w}^{2} - 7w + 12}{ {w}^{2} + w - 20 }$

5 0

4 years ago