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4 years ago

What’s the answer to this

Mathematics

1 answer:

tatiyna4 years ago

4 0

F(-1) = -(-1) - 2 f(2) = -(2) - 2 f(4) = -(4) - 2
f(-1) = 1 - 2 f(2) = -2 - 2 f(4) = -4 - 2
f(-1) = -1 f(2) = -4 f(4) = -6

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Which statement about sqrt x- sqrt (x-5) =1 is true? x = 4 is a true solution. x = 4 is an extraneous solution. x = 9 is a true

ElenaW [278]

Answer:

x = 9 is a true solution

Step-by-step explanation:

Given:

√x - √(x - 5) = 1

This is irrational equation with next conditions:

x ≥ 0 and x - 5 ≥ 0 => x ≥ 0 and x ≥ 5 => x ≥ 5

√x - √(x - 5) = 1 => √x = 1 + √(x - 5)

now we will square both sides of equation and get:

x = x - 5 + 2 √(x - 5) + 1 => 2 √(x - 5 = x - x + 5 - 1 => 2 √(x - 5) = 4

now we will divide both sides with 2 and get:

√(x - 5) = 2

now we will square both sides of equation and get:

x - 5 = 4 => x = 4 + 5 = 9 => x = 9

since that this solution satisfies the given condition x ≥ 5 is accepted as final

x = 9

Check:

√9 - √(9 - 5) = 1 => 3 - √4 = 1 => 3 - 2 = 1 => 1 = 1 It's true

God with you!!!

3 0

3 years ago

Please help!!!!!!!!!!!!

BigorU [14]

Answer:

Two angles are complementary if their measures add up to 90°. In the diagram, ∠ADB and ∠BDC are complementary.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

How do u substitute?

pshichka [43]

Hi again!

2x - y = 80
5y = x

P.S. Are you struggling with Algebra, equations and inequations....my advice to you is to start using Khan Academy. It will help you a lot!

Ok stop talking and let's get to work!

We need to solve 2x - y = 80 for y

2x - y = 80

-y = 80 - 2x

Multiply both sides by -1 because y cannot be negative

-y * -1 = -1(80 - 2x)

y = 2x - 80

Now we can substitute 2x - 80 for y in 5y = x

5y = x

5(2x - 80) = x

Use the distributive property

(5)(2x) + (5)(-80) = x

10x - 400 = x

Add -x on both sides

10x - 400 - x = x - x

9x - 400 = 0

Add 400 on both sides

9x - 400 + 400 = 0 + 400

9x = 400

Divide both sides by 9

9x/9 = 400/9

x = 400/9

To find y, we can substitute 400/9 for x in y = 2x - 80

y = 2x - 80

y = 2(400/9) - 80

y = 800/9 - 80

y = 800/9 - 80/1

y = 800/9 + -720/9

y = (800 - 720)/9

y = 80/9

Thus,

The answers are: y = 80/9 and x = 400/9

As always, it is my pleasure to help students like you

8 0

3 years ago

Resssspooond quickkk

Doss [256]

The slope of the given line is -1/3. The perpendicular line's slope is the opposite reciprocal of the given line's slope. So, the perpendicular line's slope is 3. Then we have slope intercept form y=mx+b

y=3x+b
We don't know "b" which is the y-intercept for this equation, but we have the coordinates (6, -1). We can use these to find the slope by plugging them into the equation.

-1=3(6)+b
-1=18+b
-1-18=18+b-18
-19=b
So, the resulting y-intercept is -19.

The final perpendicular equation would be y=3x-19

7 0

4 years ago

Read 2 more answers

Prepare a ledger using the three-column form of account. Enter the trial balance amounts into the balance column and then post t

GREYUIT [131]

Answer:

Insurance Expense (Dr.) $200

Prepaid Insurance (Cr.) $200

Supplies expense (Dr.) $1,250

Cash (Cr.) $1,250

Depreciation Expense (Dr.) $424

Accumulated depreciation Building (Cr.) $304

Accumulated Depreciation Equipment (Cr.) $120

Interest Expense (Dr.) $200

Interest Payable (Cr.) $200

Unearned Rent Revenue (Dr.) $2,200

Rent Revenue (Cr.) $2,200

Salaries Expense (Dr.) $700

Salaries Payable (Cr.) $700

Step-by-step explanation:

Three column ledger has particular, debit and credit columns in which all the entries which are recorded in journal entries are posted to have a clear view of the expense and income.

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3 years ago