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3 years ago

6

Es Double a number is equal to the number decreased by five. Find the number. 10 Submit

1 answer:

ivanzaharov [21]3 years ago

7 0

Answer:

I think the answer is 7.5, because of this equation: 2x-5=10

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Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).

konstantin123 [22]

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6 + b

Then b must be -5, and so the desired new equation is

y = x - 5

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A total of $98,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If the amount invested in bonds

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3 years ago

A baker is calculating the charge for two types of cookies. What formula tells the cost, in dollars, if chocolate chip cookies a

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3 years ago

Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5

julia-pushkina [17]

Answer:

$y=2x$ if $x>5$

Problem:

"Rewrite without absolute value for the given conditions: y=|x−5|+|x+5|, if x>5"

Step-by-step explanation:

Let's figure out when the insides of the absolute values are positive and negative, and then see where the given condition that x>5 fits into that.

$|x-5|=x-5$ if $x-5$ is positive or 0, $\ge 0$ .

$x-5 \ge 0$

Add 5 on both sides:

$x \ge 5$ .

$|x-5|=-(x-5)$ if $x-5$ is negative or zero, $\le 0$ .

$x-5 \le 0$

Add 5 on both sides:

$x \le 5$

Since $x>5$ then we will choose $|x-5|=x-5$ .

---

$|x+5|=x+5$ if $x+5$ is positive or 0, $\ge 0$ .

$x+5 \ge 0$

Subtract 5 on both sides:

$x \ge -5$ .

$|x+5|=-(x+5)$ if $x+5$ is negative or zero, $\le 0$ .

$x+5 \le 0$

Subtract 5 on both sides:

$x \le -5$

Since $x>5$ then we will choose $|x+5|=x+5$ .

--

$y=|x−5|+|x+5|$ with $x>5$ :

$y=(x-5)+(x+5)$

$y=(x+x)+(-5+5)$

$y=(2x)+(0)$

$y=2x+0$

$y=2x$

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