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BabaBlast [244]
3 years ago
14

Solve each absolute value equation 2=|x|-1

Mathematics
2 answers:
photoshop1234 [79]3 years ago
7 0

Answer:

x = ±3

Step-by-step explanation:

2 = |x| - 1

Add 1 to both sides:  |x| = 3

⇒ x = ±3

Lisa [10]3 years ago
5 0

Solution:

  • 2 = |x| - 1

Remember, the number inside the absolute value bars will always be positive. This means that if -5 is between two bars, it will become 5.

  • => 2 + 1 = |x|
  • => 3 = |x|

<u>Let's review 2 ways that this equation can go through:</u>

  • (3 = |3|) = (3 = 3) True
  • (3 = |-3|) = (3 = 3) True

Hence, the measure of x is ±3.

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Evaluate the expression for the given value of the variable(s).<br><br> -x2 - 4x; x = –3
yaroslaw [1]

Answer:

3

Step-by-step explanation:

Subbing -3 for x in -x^2 - 4x, we get -(-3)^2 - 4(-3)

                                                       OR -9       +12

Final result:  3

7 0
3 years ago
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
Which side lengths form a right triangle chose all that apply
KengaRu [80]

Answer:

b

Step-by-step explanation:

only b is true

3 0
3 years ago
Y=-5(x+3)^2-1 in standard form
Andre45 [30]

Answer:

y=-5x^{2} -30x-46

Step-by-step explanation:

y=-5(x+3)^{2} -1

y=-5((x+3) (x+3))-1

y=-5(x^{2} +6x+9)-1

y=-5x^{2} -30x-45-1

y=-5x^{2} -30x-46

5 0
3 years ago
Identify the measure of arc HD◠.
meriva

Answer:

The measure of arc HD is 20°

Step-by-step explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

In the triangle of the figure , the measure of the third  interior angle is equal to

180°-92°-38°= 50°

50°=(1/2)[(102+18)°-arc HD]

100°=[120°-arc HD]

arc HD=120°-100°=20°

5 0
3 years ago
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