Does the graph below represent a function? Explain how you know. Thanks

Answer:

1.    =0.01

2.  =0.0001  

3.  =10,000

4. =0.000001

Step-by-step explanation:

39.8°

Step-by-step explanation:

theta = tan^-1(10/12)

The transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The parent function function is

f(x) = |x|

The second function is

g(x) = |x - 3| + 5

The transformation of the function or the shape is the change of the coordinates of the shape. The shape and the size will be same only the coordinates will change

The parent function

f(x) = |x|

First there is a horizontal shift, that is 3 units right

Then there will be a vertical shift, that is 5 units up

There is no reflection about x axis or any vertical compression

Hence, the transformation from f(x) to g(x) is horizontal shift 3 units right and vertical shift 5 units up

The complete question is.

Describe the transformation from f(x) of g(x) where f(x) = |x| and g(x) = |x-3| + 5.

Learn more about transformation here

brainly.com/question/13810353

#SPJ1

Answer:

x=3

Step-by-step explanation:

The Absolute Value term is 2|3x-2|

For the Negative case we'll use -2(3x-2)

For the Positive case we'll use 2(3x-2)

2(3x-2) = 14

    Multiply

     -6x+4 = 14

    Rearrange and Add up

     -6x = 10

    Divide both sides by 6

     -x = (5/3)

    Multiply both sides by (-1)

     x = -(5/3)

    Which is the solution for the Negative Case

2(3x-2) = 14

    Multiply

     6x-4 = 14

    Rearrange and Add up

     6x = 18

    Divide both sides by 6

     x = 3

    Which is the solution for the Positive Case

x=-5/3

x=3

Answer:

B

Step-by-step explanation:

First thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD

here, x = 130, mean = 120 and SD = 10

Substituting these values

z-score = (130-120)/10 = 10/10 = 1

So the probability we want to calculate is;

P(z ≥ 1) = 1 - P(z <1)

From standard score table, P(z <1) = 0.15866

P(z ≥ 1) = 1-0.15866 = 0.84134

Answer:

0.16

Step-by-step explanation:

The slope of a line perpendicular to the given line is -2.

The slope of a line parallel to the given line is 1/2.

To find the slopes of lines perpendicular and parallel to the given line, we first need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Given equation: 4x - 8y = 5

Rearrange the equation to solve for y:

-8y = -4x + 5

y = (1/2)x - (5/8)

Now that the equation is in slope-intercept form, we can identify the slope of the given line:

m1 = 1/2

For a line to be parallel to the given line, it must have the same slope. So, the slope of a line parallel to this line is:

m_parallel = 1/2

For a line to be perpendicular to the given line, its slope must be the negative reciprocal of the slope of the given line. So, the slope of a line perpendicular to this line is:

m_perpendicular = -1/m1 = -1/(1/2) = -2

Answer:

Option A

Step-by-step explanation:

to be perpendicular, the product of two slopes should be -1

the slope of the first equation is 1/5, so the slope should be -5

(1/5) (-5)= -1

y= -5x +b

Substitute (1,1) to solve for b,

b= 6

Thus, the equation is y= -5x +6

Answer:

C.) 60

Step-by-step explanation:

120 + 60 = 180, each line segment = 180 unless it's a circle making it 360

Answer:

Using the Vertical Angle Theorem,

if two angles are vertical, then they are congruent

therefore, ∡4=∡5 and ∡6=∡7

since ∡4≅∡7

then ∡5 must also be ≅ to ∡6

Step-by-step explanation:

Step-by-step explanation:

Statement                                        Reason                        

∠4 ≅ ∠7                                           Given

∠4 and ∠5 are vertical angles        Vertical angles theorem

∠6 and ∠7 are vertical angles        Vertical angles theorem

∠4 ≅ ∠5 and ∠ 6≅ ∠7                     Definition of vertical angles

∠5 ≅ ∠6                                           Substitution property of equality

Answer:

uh

Step-by-step explanation:

this is very easy go to your camera

Answer:

I hope this would help you:)

To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

To know more about  confidence interval visit :

https://brainly.com/question/15712887

#SPJ11

Answer:

1/2

Step-by-step explanation:

Since the events are independent, P(A and B) = P(A) * P(B)

P(X and Y) = P(X) * P(Y)

                  = 2/3 * 3/4

                  = 2/4

                   = 1/2

Given:

The system of the equation is,

Draw the lines on the graph, the point at which the lines intersects. That point will be the solution of the system.

The points on the line 2x+5y=0 are,

And the points on the line x+6y=14

The graph of the lines is,

As the point of intersection is ( -10,4).

The solution of the given system of equation is x = -10, y = 4.

The solution of the equation is y = 5.

The equation you'll be solving is: y + 6 = -3y + 26.

On the left side of the equation, you have y + 6. On the right side of the equation, you have

=> -3y + 26.

To combine like terms, you need to rearrange the equation so that the y terms are on one side and the constant terms are on the other side.

To do this, you can add 3y to both sides of the equation. This will eliminate the -3y term on the right side of the equation and leave you with 4y + 6 = 26. Next, you can subtract 6 from both sides of the equation. This will eliminate the +6 term on the left side of the equation and leave you with 4y = 20.

Now you have an equation that only has one variable, y, on one side of the equation and a constant, 20, on the other side of the equation.

To solve for y, you need to isolate y by dividing both sides of the equation by 4.

This will give you y = 5.

To know more about equation here

https://brainly.com/question/10413253

#SPJ4

Complete Question:

Solve the equation. y + 6 = - 3y + 26.

Answer:

Rational

Step-by-step explanation:

Rational numbers have terminating decimals

Answer: rational

Step-by-step explanation: 4.680 is a rational number because it can be written as a fraction. Irrational numbers are fractions that can’t be written as a fraction, which isn’t the case for 4.680.

The least three numbers that when added together give a number multiple of 7 are:

2, 3 and 7

Prime numbers are numbers that have only two divisors, but these two divisors are always the same number and the number 1.

If we want to know a number that comes from the sum of three prime numbers and that in turn is divisible by 7, then let's identify the prime numbers from 0 to 20:

2, 3, 5, 7, 11, 13, 17, 19

Let's start with the lowest ones:

The three numbers are: 2, 3 and 7.

Learn more about prime numbers in:

https://brainly.com/question/5031652

#SPJ4

Drawing the situation, the top of Diego's ladder is 9 feet off the ground, the foot of the ladder is 4.5 away from the wall, and with an angle of 55 degrees the top is now 7.95feet off the ground.

a) Using the angle and hypotenuse of the ladder, we can calculate the height from the ground using the trigonometric function “SOHCAHTOA”:

Height = (Hypotenuse × sin(60°))/cos(60°)

Height = (9 feet × sin(60°))/cos(60°)

Height = 7.5 feet

b) Using the same trigonometric function, we can calculate the distance from the wall using the adjacent side and angle of the ladder:

Distance = (Adjacent × cos(60°))/sin(60°)

Distance = (9 feet × cos(60°))/sin(60°)

Distance = 4.5 feet

c) Using the same trigonometric function, we can calculate the new height from the ground using the hypotenuse and angle of the ladder:

Height = (Hypotenuse × sin(55°))/cos(55°)

Height = (9 feet × sin(55°))/cos(55°)

Height = 7.95 feet

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

Answer:

x = 2

Step-by-step explanation:

\(\frac{x}{2x+1} = \frac{16}{40}\)

Step 1: Cross multiply

We want to eliminate all denominators, so we multiply the opposite numerators and denominators

\(\frac{x}{2x+1} = \frac{16}{40}\\\\\\x\cdot40 = 16(2x + 1)\\\\\\40x = 32x + 16\)

Step 2: Solve for x

Now we want x by itself, and we have to solve for x.

             \(40x = 32x + 16\\\\\\40x - 32x = 16\\\\\\8x = 16\)

             \(8x = 16\\\\8(x) = 16\\\\x = 16/8\\\\x = 2\)

-Chetan K

Answer:

x=2

Step-by-step explanation:

40*x=16(2x+1)  (we cross multiply)

40x=32x+16

8x=16

x=2

Answer:

1) 3

2) 1

3) -5

Step-by-step explanation:

The coefficients are the numbers that come before each variable.

The 3 in the first term is in front of the x^2; so the coefficient is 3.

There is no visible number in front of the y in the second term, but there is a y, so we can assume there's at least 1; so the coefficient is 1.

The term in front of x for the third term is -5, so the coefficient is -5.

Answer:

3 2/3 and -5 are the coffecients

Answer:

Yes great job

Step-by-step explanation:

Answer:

yellow

Step-by-step explanation:

cus it sorta lookes like it

Answer:

Step-by-step explanation:

To convert degrees to radians, we can use the following formula:

Then, for 35 degrees:

Answer:

We can see that the simple interest is better

Step-by-step explanation:

We calculate the simple interest and the compound interest values

Simple interest

I = PRT/100

I is principal

R is the rate

T is the time

I = (8000 * 4 * 8)/100 = 3,840

For the compound interest, we have that;

A = I( 1 + r)^n

A is the amount in the account after the saving period

I is the amount deposited

r is the rate

n is the number of years

Substituting these, we have that;

A = 3250(1 + 0.04)^8

A = 4447.85

The interest is this amount minus the deposit

That will be;

4447.85 -3250 = 1,197.5

Answer: The Answer is 3.271

Step-by-step explanation: lol the steps are below