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3 years ago

Leslie is 5 times Rebecca's age . In 2 years, Leslie will be 3 times Rebecca's age How old is Rebecca now?

1 answer:

7 0

Rebecca was 2 at first, but 2 years later she is 4. Leslie was 10 at first, but 2 years later she is 12. 12 is 3 times greater than 4.

Please vote my answer brainliest! Thanks.

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Jessica and nancy are members of different video game libraries. jessica pays a membership fee of $40, and she pays $50 for ever

Nutka1998 [239]

It would be 10 because With Nancy, y=4x+30, 30 is the membership fee which is 10 less than Jessicas membership fee of 40.

7 0

3 years ago

Two problems here I need solved! I need every step, so please have that with your answers!!

Free_Kalibri [48]

QUESTION 1

We want to solve,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}$

We factor the denominator of the fraction on the right hand side to get,

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.$

This implies
$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.$

$\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{(x-4)(x - 2)}$

We multiply through by LCM of
$(x-4)(x - 2)$

$(x - 2) + x(x-4) = 2$

We expand to get,

$x - 2 + {x}^{2} - 4x= 2$

We group like terms and equate everything to zero,

${x}^{2} + x - 4x - 2 - 2 = 0$

We split the middle term,

${x}^{2} + - 3x - 4 = 0$

We factor to get,

${x}^{2} + x - 4x- 4 = 0$

$x(x + 1) - 4(x + 1) = 0$

$(x + 1)(x - 4) = 0$

$x + 1 = 0 \: or \: x - 4 = 0$

$x = - 1 \: or \: x = 4$

But
$x = 4$
is not in the domain of the given equation.

It is an extraneous solution.

$\therefore \: x = - 1$
is the only solution.

QUESTION 2

$\sqrt{x+11} -x=-1$

We add x to both sides,

$\sqrt{x+11} =x-1$

We square both sides,

$x + 11 = (x - 1)^{2}$

We expand to get,

$x + 11 = {x}^{2} - 2x + 1$

This implies,

${x}^{2} - 3x - 10 = 0$

We solve this quadratic equation by factorization,

${x}^{2} - 5x + 2x - 10 = 0$

$x(x - 5) + 2(x - 5) = 0$

$(x + 2)(x - 5) = 0$

$x + 2 = 0 \: or \: x - 5 = 0$

$x = - 2 \: or \: x = 5$

But
$x = - 2$
is an extraneous solution

$\therefore \: x = 5$

7 0

3 years ago

What is the recursive rule for the sequence?

adoni [48]

An= -2 (an+1), a1 = 5

5 0

3 years ago

Given the figure below, find the values x of and z.

kkurt [141]

Answer:

x=7

z=79

Step-by-step explanation:

13x+10=101

13x=91

x=7

180-101=79

6 0

2 years ago

Please help! It's about systems of equations. Answer correctly i will mark brainliest

4vir4ik [10]

Answer:

Step-by-step explanation:

Y= -6

X=-2

7 0

2 years ago