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3 years ago

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4) A water park has a rule that a person must be a least 48 inches in height, h, to go on a certain wate slide. Which inequality

represents this rule? cm A h > 48 C. h 48 B. h < 48 Dhs 48

1 answer:

xxTIMURxx [149]3 years ago

6 0

Answer:

A) Height › 48

Step-by-step explanation:

the height of a person must be greater than 48 in.

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5n + 5= 45 Please help...<br><br>constant=_, coefficient=_

madreJ [45]

Answer:

Step-by-step explanation:

5n + 5 = 45

Coefficient of n = 5

Constant = 5 & 45

8 0

2 years ago

Read 2 more answers

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

Classify the real number. List all the subsets in which the number belongs

Natali [406]

Arithmetic

This number is rational.

6 0

2 years ago

Please hurry I have to do it in 2 minutes

elena55 [62]

Answer:

$w-0.15 = 0.25$

Step-by-step explanation:

6 0

2 years ago

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%

gizmo_the_mogwai [7]

Answer:

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

6 0

3 years ago