How many solutions does the absolute value equation below have? |x + 6| = –8

1 answer:

6 0

The answer is there are no solution that fulfill this equation because if you put for example -14 the answer will be -8 but there is absolutely sign, so the answer is 8. Hope it help!

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Help quick Given f(x) and g(x) = k⋅f(x), use the graph to determine the value of k.

Salsk061 [2.6K]

Answer:

k = -3

Step-by-step explanation:

F(x) has a positive slope

g(x) has a negative slope

Let x = -3

The y value goes from 1 to -3

g(x) = k⋅f(x)

-3 = k(1)

-3 = k

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3 years ago

A store sells both cold and hot beverages. Cold beverages, c, cost $1.50, while hot beverages, h, cost $2.00. On Saturday, drink

Marina86 [1]

2h + 4h (1.5c) = 360 so option b is correct.

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3 years ago

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What is the remainder when the polynomial 5x2+10x−15 is divided by x + 5? Enter your answer in the box.

otez555 [7]

ANSWER
The remainder is
$60$

EXPLANATION

Let

$p(x) = 5 {x}^{2} + 10x - 15$

We shall apply the remainder theorem to obtain the remainder when
$p(x)$
is divided by
$x + 5$

According to the remainder theorem, if a polynomial
$p(x)$
is divided by
$x - a$
then the remainder is
$p(a)$

So we set
$x + 5 = 0$

and solve for
$x$

to obtain,

$x = - 5$

We now substitute -5 into the given polynomial to find the remainder.

$p( - 5) = 5 {( - 5)}^{2} + 10( - 5) - 15$

This gives us,

$p( - 5) = 5(25) - 50 - 15$

This will simplify to,

$p( - 5) = 125 - 50 - 15$

$p( - 5) = 60$

Therefore the remainder is
$60$

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3 years ago

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Find the midpoint with the endpoints (1,2) (7,2)

den301095 [7]

Answer:

(4,2)

Step-by-step explanation:

The x coordinate of the midpoint is the sum of the x coordinates divided by 2

( 1+7)/2 = 8/2 = 4

The y coordinate of the midpoint is the sum of the y coordinates divided by 2

( 2+2)/2 = 4/2 = 2