Help with this question please number 8

|x-1|+2<4 solving for x

Ganezh [65]

Answer:

x < 3 and x > -1

Step-by-step explanation:

Step 1: Subtract 2 from both sides.

$|x-1| + 2 - 2 < 4 - 2$
$|x-1|$

Step 2: Solve absolute value.

We know x - 1 < 2 and x - 1 > -2.

Condition 1:

$x - 1 < 2$
$x - 1 + 1 < 2 + 1$ (Add 1 to both sides)
$x < 3$

Condition 2:

$x - 1 > -2$
$x - 1 + 1 > -2 + 1$ (Add 1 to both sides)
$x>-1$

Therefore, the answer is x < 3 and x > -1.

8 0

2 years ago

Choose yes or no to tell whether the expression represents a 20% discount off the price of an item that originally costs d dolla

tester [92]

Answer:

Option A and C is correct.

Step-by-step explanation:

Discount is defined as a reduced price on something being sold or at a price lower than that item is normally sold for.

For a 20% discount,

Given:

Initial prices = $ d

Discounted price = % discount × original/initial cost

= 20/100 × d

= 0.2 × d

Selling price = original cost - discounted price

= d - 0.2d

= 0.8 × d

= 0.8d

8 0

3 years ago

Find the area of the figure

sertanlavr [38]

Answer:

75

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help thank you

Shkiper50 [21]

Answer:

x = 0.25

Step-by-step explanation:

When logs are added together, they are actually multiplied and then the logs taken of the product.

That sentence is actually correct, but you are going to have to read it a couple of times. You might understand it if I actually just solve the problem.

ln(2x) + ln(2) = 0 Combine the two subjects to make 1 ln.

ln (2)(2x) = 0 Now take the antilog

ln(4x) = 0

antilog ln(4x) = e^0 e^0 = 1

4x = 1 See your last problem.

x = 1/4

Now the question is "What's the answer?" It might be 1/4 but I doubt it. A better choice would be x = 1/4 or x = 0.25

I'd try the last one first.

6 0

3 years ago

Almost all companies utilize some type of year-end performance review for their employees. Human Resource (HR) at a university's

balu736 [363]

Answer:

The Answer is 76.

Step-by-step explanation:

Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'', we can see that exemplary employees are top 10% rated employees.

We have the formula for normal distribution:

z=(X-M)÷σ

where z is the minimum z-score for top 10% employee, X is the minimum score for top 10% employee, M is the mean of the score distribution, σ is the standard deviation of the score distribution.

The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90

If we look at z-table, corresponding value for a is 1.28155

We can now put the values in the formula:

1.28155= $\frac{X-50}{20}$

So X=(1.28155×20)+50=75.631

Therefore minimum score for exemplary employee is 76.

3 0

3 years ago