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kolezko [41]
3 years ago
10

hayden solved this equation using the steps shown. |x-3|=4. step 1: x-3=4.step 2: x-3+3=4+3. solution: x=7. based on the definit

ion of absolute value, what additional step should hayden do to determine the complete solution to the equation?
Mathematics
1 answer:
PolarNik [594]3 years ago
8 0

Answer:

step 3: x - 3 = -4

step 4: x - 3 + 3 = -4 + 3

second solution: x = -1

Step-by-step explanation:

The definition of absolute value is:

|x| = y -> x = y or x = -y

Hayden did only the first part:

|x-3|=4 -> x-3 = 4

And he found the first solution: x = 7.

But know he needs to do the second part, that is, make the right side equal the negative of the left side:

step 3: x - 3 = -4

step 4: x - 3 + 3 = -4 + 3

second solution: x = -1

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A new health drink has 130​% of the recommended daily allowance​ (RDA) for a certain vitamin. The RDA for this vitamin is 50 mg.
Anika [276]
Answer:
58.5 mg

Step-by-step explanation:

Drink: 130% of RDA of vitamin X
RDA vitamin X = 45mg
130% of 45 = mg in the drink
130% = 130/100 = 1.3
130% of 45 = 1.3*45 = 58.5

So, this new drink has 58.5 mg of vitamin
4 0
3 years ago
For which value(s) of x will the rational expression below equal zero? Check all that apply.
geniusboy [140]

Answer:

x = 5 and -2

Step-by-step explanation:

Given the function of x to be;

f(x) = (x-5)(x+2)/x+1

The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;

If f(x) = 0, then;

(x-5)(x+2)/x+1 = 0

Cross multiplying;

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

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

x = 5 and x = -2

The value of x that will make the function zero is therefore 5 and -2

4 0
3 years ago
Read 2 more answers
A plant cell has length 6.6 times 10 Superscript negative 6 m and width 2.2 times 10 Superscript negative 6 m. What is the ratio
Vinvika [58]

The length/width ratio is 3/1 .

<em>l</em> = 6.6 × 10⁻⁶ m; <em>w</em> = 2.2 × 10⁻⁶ m

<em>l</em>/<em>w</em> = 6.6 × 10⁻⁶ m/2.2 × 10⁻⁶ m = 3/1

8 0
3 years ago
Como resolver y=1-2.5
oksian1 [2.3K]

I don't really speak Spanish but I'll guess that says

 How do I solve  y = 1 - 2.5

Unless I'm missing something, there's not even any algebra here.  

The way we subtract a bigger number from a smaller number is first we subtract the smaller number from the bigger number the regular way, then we prepend a minus sign.


y = 1 - 2.5 = -(2.5 - 1) = -1.5



7 0
3 years ago
The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 + 2.7t + 253. What doe
Vesna [10]

Answer:

See below.

Step-by-step explanation:

t represents time (probably years).

The population of bobcats can't be negative, so negative values in the range do not make sense.

The function is continuous, but you're probably only looking at discrete values.

6 0
3 years ago
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