Identify the domain of the function shown in the graph.
A. X≥ 0
B. x < 0
C. 0 -8-84-2
D. x is all numbers.
10-
8
8.
4+
2+
y
-2-
4.
-8-
-10+
2
4 6 8 10 12

One way of simplifying the given expression is by using the following definition:

So, for the given expression, we have:

Therefore, a possible answer is:

Answer:

Step-by-step explanation:

In order to calculate the value of the equation, let's first use the values of x = -2 and y = -3 in the equation and then calculate every operation:

Therefore the final result is -45.

We will have the following:

So, the radius is approximately 26.4 inches.

Given the equation:

To solve for x, first we move the 6 to the other side of the equation:

Since the 6 was dividing, we pass it to the other side multiplying. Now we apply the distributive property and move the term -8a to the other side:

Finally, we move the -12 to the other side with its sign changed:

therefore, x=2a

The reference angle of x is -60 degree. The exact values of sin x, tan x, and sec x is [tex]$\sin \left(-60^{\circ}\right)=-\frac{\sqrt{3}}{2}$[/tex], [tex]$\tan \left(-60^{\circ}\right)=-\sqrt{3}$[/tex], [tex]$\sec \left(-60^{\circ}\right)=2$[/tex]

[tex]x=-\frac{16 \times 180}{3}$$[/tex]

Multiply the numbers: [tex]$16 \times 180=2880$[/tex]

[tex]$x=-\frac{2880}{3}$[/tex]

Divide the numbers: [tex]$\frac{2880}{3}=960$[/tex]

x=-960

Or, x = 2 [tex]\times[/tex] 360 - 960

Follow the PEMDAS order of operations

Multiply and divide (left to right) 2 [tex]\times[/tex]360 : 720 =720-960

Add and subtract (left to right) 720-960: -240

x= -240

Reference angle =180-240

Reference angle= -60

Sin (-60 degree)= [tex]$\sin \left(-60^{\circ}\right)=-\frac{\sqrt{3}}{2}$[/tex]

[tex]$\tan \left(-60^{\circ}\right)=-\sqrt{3}$[/tex]

[tex]$\sec \left(-60^{\circ}\right)=2$[/tex]

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The smallest possible co-terminal are:

a)50

b) -495

Angles that share the terminal side with an angle occupying the standard position are said to be co terminal angles. In the conventional position, the vertex is at the origin and one side of the angle is fixed along the positive x-axis.

In other words, two angles are co terminal when their vertices and sides are the same but their angles themselves differ.

Additionally, you can recall the concept of co terminal angles as angles that differ by an exact number of full circles.

Given Data

The smallest co terminal angle for:

a) 410

Divide the first number by the second, rounding down (towards the floor).

[tex]\frac{360}{410}[/tex]

= 1

after that, multiply the divisor by the result (called the quotient),

360(1)

= 360

Take this amount out of your starting amount.

410-360

= 50

b) -45

- 45 [tex]\frac{pie}{4}[/tex]

= -495

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So, here we have the following expression:

The first thing we need to notice before simplifying, is that the denominator can't be zero.

As you can see,

These are the restrictions on the given variable.

Now, we could start simplyfing factoring each term:

This is,

So, the answer is:

It could be also written as:

Let's define the following variable:

t = number of hours for them to be 2 miles apart

Distance covered by Person A after "t"hours would be 2t or 2 miles times "t" hours.

Distance covered by Person B after "t" hours would be 6t or 6 miles times "t" hours.

If the distance of Person A and B is 2 miles apart after "t" hours, we can say that:

From that equation, we can solve for t.

Therefore, at t = 0.5 hours or 30 minutes, the two persons 2 miles apart.

At 0.5 hours, Person A will

The required values of given the trigonometric functions are sin(A + B) = -100/2501 and sin(A - B) = -980/2501.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

We have been given that the trigonometric function

sin (A) = -60/61 and cos(B) = 9/41

So cos (A) = √1 - (-60/61)² = 11/61, and sin(B) = √1 - (9/41)² = 40/41

To compute  the trigonometric functions sin(A + B) and sin(A - B)

⇒ sin(A + B) = sinA cosB + cos A sinB

⇒ sin(A + B) = (-60/61)(9/41) + (11/61)(40/41)

⇒ sin(A + B) = -540/2501 + 440/2501

⇒ sin(A + B) = -100/2501

⇒ sin(A - B) = sinA cosB - cos A sinB

⇒ sin(A - B) = (-60/61)(9/41) - (11/61)(40/41)

⇒ sin(A - B) = -540/2501 - 440/2501

⇒ sin(A - B) = -980/2501

Thus, the required values of given the trigonometric functions are sin(A + B) = -100/2501 and sin(A - B) = -980/2501.

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a) We rewrite the right side of the expression as:

So we see that the expression of point a is FALSE.

b) We consider the expression:

We take the logarithm in base b, we get:

We see that the logarithm of a number x to a base b is just the exponent you put onto b to make the result equal x. We conclude that this expression is TRUE.

c) We know that in any base a, we have:

We conclude that the expression of this item is FALSE.

d) Logarithms are defined only for numbers greater than 0. So we conclude that this expression is FALSE.

e) We consider the expression:

Applying the properties of logarithms, we get:

We see that this expression is TRUE.

a) FALSE

b) TRUE

c) FALSE

d) FALSE

e) TRUE

Answer:

5N + 75 I believe

Given:

To find the discriminant, use the formula:

Where a = 4, b = 8, c = 4

Thus, we have:

The discriminant is = 0

To find the number of solutions, since the disriminant is zero, we have two real and identical roots.

ANSWER:

Discriminant = 0

Number of roots = 2 real and identical roots

We have the sequence: 8, -2, -12...

We can prove that this is an arithmetic sequence as there is a common difference d=-10 between consecutive terms.

Then, the recursive formula (the expression where the value of a term depends on the value of the previous term) can be written as:

Answer: the recursive formula is a1 = 8, a(n) = a(n-1) - 10

Ok, so

First of all, we got that the wound was measured to be 0.8cm.

This measurement equals to:

0.8cm is equal to 8 millimeters.

Now, the greatest possible error in a measurement is one half of the precision (smallest measured unit).

8 mm was measured to the nearest 1 mm, so the measuring unit is 1 mm.

So, one half of the precision (1mm) is 0.5

Therefore, the greatest possible error is 0.5 mm

We have the following integral in the discrete sum form:

In the interval [-9, 6].

To convert to the integral form, we convert each element of the discrete sum form:

Replacing these in the formula above, we get the integral form:

Consider x as Takao's fourth score.

Then, to achieve an 87 average, we have:

Answer:

c. 85

Let the unknown number be "x"

We will write an algebraic equation from the word problem given. Then we will solve for "x".

Given,

Sum of number (x) and 4 times the reciprocal is 13/3

We can convert it into an algebraic equation:

Now, let's solve for the unknow, x,

The numbers are

We were told that Four hamsters have a combined weight of 5.112 grams. We know that

1000 grams = 1 kilogram

Thus,

5.112 grams = 5.112/1000

= 0.005112 kilograms

Since all the hamsters weigh the same, then the weight of one hamster is

0.005112 /4

= 0.001278 kilogram

The weight of one hamster is 0.001278 kilogram

The result of the calculation of the base is good because the distance between -2 and 6 is 8. The result of the calculation of the height is good because the distance between 4 and 11 is 7. The mistake is seen in the part of the multiplication, because 8x7 is equal to 56 , not 49.

So, the mistake was made when doing the Step 3.

Answer:

Step-by-step explanation:

Let the dimensions are b and h.

The area of rectangle is the product of two dimensions.

We have:

Solve the equation by substitution:

The second root is discarded as negative.

Answer:

Height = 5 in

Base = 23 in

Step-by-step explanation:

[tex]\boxed{\textsf{Area of a rectangle} = \sf Base \times Height}[/tex]

Let x be the height of the rectangle.

Given values:

Substitute the values into the formula for area and solve for x:

[tex]\begin{aligned}\sf Area & = \sf Base \times Height\\\\115&=x(5x-2)\\115&=5x^2-2x\\5x^2-2x-115&=0\\5x^2-25x+23x-115&=0\\5x(x-5)+23(x-5)&=0\\(5x+23)(x-5)&=0\\\\\implies 5x+23&=0 \implies x=-\dfrac{23}{5}\\\implies x-5&=0 \implies x=5\end{aligned}[/tex]

As length is positive, x = 5.

To find the rectangle's dimensions, substitute the found value of x into the expressions for the height and base:

[tex]\implies \sf Height=5\;in[/tex]

[tex]\begin{aligned}\implies \sf Base&=\sf 5(5)-2\\&=\sf 25-2\\&=\sf 23\;in\end{aligned}[/tex]

Linear pair angles form a straight line, so, both angles add up to 180°.

1 and 2 are not a linear pair.

4 and 5 are a linear pair.

Vertical angles are opposite angles, that are equal.

1 and 4 are vertical angles

3 and 5 are NOT vertical angles-

Given that:

- The probability that an individual is left-handed is 12%.

- There are 30 students in the class.

You need to use this Binomial Distribution Formula, in order to find the probability of finding exactly 4 left-handed students :

Where "n" is the number being sampled, "x" is the number of successes desired, and "p" is the probability of getting a success in one trial.

In this case:

Therefore, by substituting values into the formula and evaluating, you get:

Hence, the answer is:

If you want to save $500 in two years, you need to save $20.58 per month with a 1.25% interest compounded monthly.

The monthly savings can be determined using an online finance calculator as follows:

N (# of periods) = 24 months (2 x 12)

I/Y (Interest per year) = 1.25%

PV (Present Value) = $0

FV (Future Value) = $500

Results:

Monthly Savings = $20.58

Sum of all periodic savings = $494.04

Total Interest = $5.96

Thus, the investor needs to save $500 in two years to save $20.58 monthly.

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To graph a line we need two points, to find a second one we need the equation of the line. The equation of a line is given by:

Plugging the values given we have:

Once we know the equation of a line we find a second point on the line, to do this we give a value to x and use the equation to find y. If x=1, then:

Then we have the point (1,1).

Now that we have two points of the line we plot them on the plane and join them with a straight line. Therefore the graph of the line is:

ANSWER:

A=25.1 degrees

b = 1.8

C = 121.9 degrees

SOLUTION:

We can solve this problem using the cosine law, since we are given the length of 2 sides of triangle and the angle they formed.

We substitute the given

Using Sine Law, we can get the angles

Since the total angle inside a triangle is 180, the angle at C is

Answer: 8

Step-by-step explanation: x2 + 4 is 4 x 2

:D

Answer:11/4

Step-by-step explanation: First you put the points in m=x1-x2/y1-y2

m=15-4/3+1=15

Answer of a is €3.8

Answer of b is €8

Solution :

To get the answer add two decimal number

ie.  the sum of first question is €1.76 + €2.04 = €3.8

the sum of second question is €5.62 + €2.38 = €8

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Answer:

[tex]{ \tt{ = 2f + 6f}}[/tex]

- Factorise out f as the common factor;

[tex]{ \tt{ = f(2 + 6)}} \\ = 8f[/tex]