What is the approximate area of the shaded region?

A 8.57 square units
B.9.13 square units
B 8.70 square units
D.11.28 square units

Answer:

The correct option is;

a. 0

Step-by-step explanation:

The given parameters are;

f(x) = x² - 1

g(x)  = √x

When carrying out operations in composite functions, we proceed as follows

[tex](f \circ g)(x) = f(g(x)) = f(\sqrt{x} ) = (\sqrt{x} )^2 -1 1 = x - 1[/tex]

Therefore, we have;

[tex](f \circ g)(1) = f(g(1)) = f(\sqrt{1} ) = (\sqrt{1} )^2 -1 1 = 1 - 1 = 0[/tex]

Therefore;

[tex](f \circ g)(1) = 0[/tex]

Question options:

The boiling point increases by 18 degrees as altitude increases by 1000 feet

The boiling point increases by 1.8 degrees as the altitude increases by 1000 feet

The boiling point decreases by 18 degrees as the altitude increases by 1000 feet

The boiling point decreases by 1.8 degrees as the altitude increases by 1000 feet

Answer:

The freezing point increases by 0.1 degrees for every 1000 feet

Step-by-step explanation:

In the options given we have used it as a reference for our answer. The equation given in terms of temperature and altitude means that for every increase in altitude a(we have assumed here that a increases by 1000 feet each time as in options) there is increase in temperature by 0.1 degrees(freezing point)

Answer:

he can rent it for 10 hours

Step-by-step explanation:

35 - 15 = 20

20 divided by 2 equals 10

Answer:

10 hours

Step-by-step explanation:

Say x is the number of hours he can rent the detector at most. Using it, we can set up this equation:

15 + 2x = 35

Subtract 15 from both sides

2x = 20

Divide by 2 on both sides

x = 10

Answer:

2, 3, and 1

Step-by-step explanation:

coefficent is the constant multiplied by the variable

3c^2 coefficient is 3

h is 1 because h is the same as 1h

2c is 2

Answer:

Coefficients:

7g = 7

2t = 2

Step-by-step explanation:

Coefficients are the multiplicative numbers that preceed the variable. If a variable has no coefficient written, then that coefficient is 1 (symbol carried over).

First: info on point-slope form.

We need to find the slope of the line first.

[tex]m = \frac{2 + 1}{5 - 1} = \frac{3}{4}[/tex]

Slope: [tex]\frac{3}{4}[/tex]

Now we can complete the point-slope equation of the line.

[tex]y - (-1) = \frac{3}{4}(x - 1)\\\\y + 1 = \frac{3}{4}(x - 1)[/tex]

*These equations are equivalent.

Answer:

3,970

Step-by-step explanation:

has 3 sigfigs and its rounded

9514 1404 393

Answer:

  D

Step-by-step explanation:

The wording "must be under 315" means you can immediately throw out any answer choice that has "> 315" or "more than" in it.

The total number of seats in the auditorium will be the sum of the number in the balcony and the number on the floor. On the floor, 15 rows of x seats will be 15x seats altogether. Then the fire safety requirements are ...

  floor seats + balcony seats < 315

  15x + 60 < 315 . . . . . . matches choice D

The solution is ...

  x + 4 < 21 . . . . divide by 15

  x < 17 . . . . . . . .subtract 4

The variable x stands for the number of seats in a row, so x < 17 means there must be fewer than 17 seats in each row.

Answer:

b is 7 to the 6th power

Step-by-step explanation:

7 is being multiplies 6 times

Answer:

    a c

Step-by-step explanation:

The true statements are;

A: Points B, A, and F are collinear.

B: The measure of angle BCA is the same as the measure of angle CED.

C: Line AD is parallel to line BC.

E: The measure of angle DAC is the same as the measure of angle BCA.

What is Translation?

A translation is a transformation that occurs when figure is moved from one location to another location without changing its size, shape or orientation.

Given that;

Triangles FAD and DCE are translations of triangle ABC.

Now,

In the image,

Points B, A, and F are lie on the same line BF.

So, Points B, A, and F are collinear.

Since, Triangle DCE is translation of triangle ABC.

So, All sides and angles of triangle ABC is equal to triangle DCE.

Hence, m ∠BCA = m ∠CED

Thus, The measure of angle BCA is the same as the measure of angle CED.

In the image,

Line BC and line AD are never meet to each other,

So, Line AD is parallel to line BC.

Since, Line AD is parallel to line BC.

So, By definition of angles of parallel lines;

m ∠DAC = m ∠BCA

Thus, The measure of angle DAC is the same as the measure of angle BCA.

Therefore, The true statements are;

A: Points B, A, and F are collinear.

B: The measure of angle BCA is the same as the measure of angle CED.

C: Line AD is parallel to line BC.

E: The measure of angle DAC is the same as the measure of angle BCA.

Learn more about the translation visit;

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The complete question is this;

Triangles FAD and DCE are translations of triangle ABC, select all the statements that must be true;

A: Points B, A, and F are collinear.

B: The measure of angle BCA is the same as the measure of angle CED.

C: Line AD is parallel to line BC .

D: The measure of angle CED is the same as the measure of angle FAD .

E: The measure of angle DAC is the same as the measure of angle BCA.

F: Triangle ADC is a reflection of triangle FAD.

Answer:

9 HOURS

Step-by-step explanation:

TRUST ME

9514 1404 393

Answer:

  (d)  Amplitude = 8 feet; period = 18 hours; midline: y = 12

Step-by-step explanation:

The amplitude is half the difference between the low and high, so is ...

  (20 -4)/2 = 16/2 = 8 . . . . amplitude in feet

__

The period is the time it takes for one full cycle. The problem statement tells you one full cycle takes 18 hours, so 18 hours is the period.

__

The midline is half the sum of the low and high, so is ...

  (20 +4)/2 = 24/2 = 12 . . . . midline in feet

These values are matched by the last choice:

  amplitude 8, period 18, midline 12.

Answer:

x = 0, -2

Step-by-step explanation:

Just take my word for it.

Answer:

The total cost for the rental is $122.05 for a day

Step-by-step explanation:

Here, we want to calculate the charges on a car with a 19 gallon tank and a gps

The charges are as follows;

$35 daily

$12.95 per day for GPS

$3.90 per gallon; for 19 gallons, we have 3.90 * 19 = $74.1

So the total cost incurred on the car rental will be;

$74.1 + $12.95 + $35 = $122.05

Answer:

yep

Step-by-step explanation:

bc I said something about math lol no used a caulqter

Can't spell, if my life depended on him.

Answer:

200+426x234 = 99884

Here is your answer

Answer:

55 hours in 22 days

Step-by-step explanation:

12.5/5 = h/d

12.5/5 = h/22

5h=275

h=55

Answer:

false

Step-by-step explanation:

False, there are no solutions to the equation |x − 21| = −7 because the absolute value cannot be less than 0.

Answer:

Yes it is a function because all the x values are different. If there were two or more of the same number in the x list it would not be a function. And it doesn't matter for the y list if two or more of the numbers are the same.

Answer:

36.3

Step-by-step explanation:

D. 3.55s - 10 < 5.25s

By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Two triangles XYZ and Triangle LYZ are shown in figure.

Now,

From triangle XYZ and Triangle LYZ;

⇒ YZ = ZY ( Common side )

⇒ ∠ YXZ = ∠ YLZ  

( By definition of isosceles triangle)

⇒ ∠ YZX = ∠ YZL

(Right angles)

Hence, By ''ASA postulate'' or theorem can be used to prove that triangle XYZ and Triangle LYZ are congruent.

Learn more about the triangle visit;

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Answer: If two sides in one triangle are congruent to two sides of a second triangle, and also if the included angles are congruent, then the triangles are congruent. Using labels: If in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D, then triangle ABC is congruent to triangle DEF.

Hope it helps

Answer:

x = -1 and y = -1.

Step-by-step explanation:

The given system of equations are :

y = 4x + 3 ....(1)

y = -x - 2 ....(2)

From equation (1) and (2) :

4x + 3 = -x - 2

Taking like terms together,

4x + x = -3 -2

5x = -5

x = -1

Put the value of x in equation (1)

y = 4(-1) + 3

= -1

The solution is also shown in the attached figure. Hence, the solution is x = -1 and y = -1.

Answer: infinite solutions

Explanation:

-1+5p ≥-1+5p

5p ≥5p

P ≥p

0 ≥p-p

0 ≥0 (therefore it is an infinite solution)