write the slope intercept form of the line with a slope of 2 and y-intercept of -4

Answer:

D: [-3, 1]

R: [-4, 0]

Step-by-step explanation:

The domain means what x-values you can input and get a corresponding y-value. In this case, on the graph, there are x-values from x = -3 to x = 1, and all of those have corresponding y-values. If you look at x = 2, for example, there's no y-value, so that's not in the domain. So all points from x = -3 to x = 1 are in the domain, and if we put that in interval notation, we get D: [-3, 1].

The range, similarly, is what possible y-values can come out from inputting x-values. In this case, the graph contains y-values from -4 to 0, so the range is R: [-4, 0].

Answer:

x = 8

Step-by-step explanation:

Answer:

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis. The reflections are shown in Figure 9.

Graph of the vertical and horizontal reflection of a function.

Figure 9. Vertical and horizontal reflections of a function.

Notice that the vertical reflection produces a new graph that is a mirror image of the base or original graph about the x-axis. The horizontal reflection produces a new graph that is a mirror image of the base or original graph about the y-axis.

A GENERAL NOTE: REFLECTIONS

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

HOW TO: GIVEN A FUNCTION, REFLECT THE GRAPH BOTH VERTICALLY AND HORIZONTALLY.

Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.

Multiply all inputs by –1 for a horizontal reflection. The new graph is a reflection of the original graph about the y-axis.

EXAMPLE 7: REFLECTING A GRAPH HORIZONTALLY AND VERTICALLY

Reflect the graph of \displaystyle s\left(t\right)=\sqrt{t}s(t)=√

t

(a) vertically and (b) horizontally.

SOLUTION

a. Reflecting the graph vertically means that each output value will be reflected over the horizontal t-axis as shown in Figure 10.

Graph of the vertical reflection of the square root function.

Figure 10. Vertical reflection of the square root function

Because each output value is the opposite of the original output value, we can write

\displaystyle V\left(t\right)=-s\left(t\right)\text{ or }V\left(t\right)=-\sqrt{t}V(t)=−s(t) or V(t)=−√

t

Notice that this is an outside change, or vertical shift, that affects the output \displaystyle s\left(t\right)s(t) values, so the negative sign belongs outside of the function.

b.

Reflecting horizontally means that each input value will be reflected over the vertical axis as shown in Figure 11.

Graph of the horizontal reflection of the square root function.

Figure 11. Horizontal reflection of the square root function

Because each input value is the opposite of the original input value, we can write

\displaystyle H\left(t\right)=s\left(-t\right)\text{ or }H\left(t\right)=\sqrt{-t}H(t)=s(−t) or H(t)=√

−t

Notice that this is an inside change or horizontal change that affects the input values, so the negative sign is on the inside of the function.

Note that these transformations can affect the domain and range of the functions. While the original square root function has domain \displaystyle \left[0,\infty \right)[0,∞) and range \displaystyle \left[0,\infty \right)[0,∞), the vertical reflection gives the \displaystyle V\left(t\right)V(t) function the range \displaystyle \left(-\infty ,0\right](−∞,0] and the horizontal reflection gives the \displaystyle H\left(t\right)H(t) function the domain \displaystyle \left(-\infty ,0\right](−∞,0].

TRY IT 2

Reflect the graph of \displaystyle f\left(x\right)=|x - 1|f(x)=∣x−1∣ (a) vertically and (b) horizontally.

Solution

EXAMPLE 8: REFLECTING A TABULAR FUNCTION HORIZONTALLY AND VERTICALLY

A function \displaystyle f\left(x\right)f(x) is given. Create a table for the functions below.

\displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)

\displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)

\displaystyle xx 2 4 6 8

\displaystyle f\left(x\right)f(x) 1 3 7 11

SOLUTION

For \displaystyle g\left(x\right)g(x), the negative sign outside the function indicates a vertical reflection, so the x-values stay the same and each output value will be the opposite of the original output value.

\displaystyle xx 2 4 6 8

\displaystyle g\left(x\right)g(x) –1 –3 –7 –11

For \displaystyle h\left(x\right)h(x), the negative sign inside the function indicates a horizontal reflection, so each input value will be the opposite of the original input value and the \displaystyle h\left(x\right)h(x) values stay the same as the \displaystyle f\left(x\right)f(x) values.

\displaystyle xx −2 −4 −6 −8

\displaystyle h\left(x\right)h(x) 1 3 7 11

TRY IT 3

\displaystyle xx −2 0 2 4

\displaystyle f\left(x\right)f(x) 5 10 15 20

Using the function \displaystyle f\left(x\right)f(x) given in the table above, create a table for the functions below.

a. \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x)

b. \displaystyle h\left(x\right)=f\left(-x\right)h(x)=f(−x)

Answer:

60°

Step-by-step explanation:

There is a supplementary angle, so we know that 180°-100° would give 80°.

A triangles angles add up to 180, so 80+40=120

180-120=60°

Answer:

60 degrees

Step-by-step explanation:

Hi there!

Angle NAB and angle CAB are supplementary angles, meaning they add up to 180 degrees. First, solve for angle CAB:

180 - 100 = 80

Therefore, angle CAB measures 80 degrees.

The sum of the interior angles of a triangle is always 180 degrees. Now, we can solve for angle B by subtracting 80 and 40 from 180:

180 - 80 - 40 = 60

Therefore, angle B measures 60 degrees.

Another way we can solve this is by viewing the 100-degree angle as an exterior angle of a triangle. The two opposite interior angles always add up to an exterior angle of a triangle.

100 = 40 + 60

Therefore, angle B measures 60 degrees.

I hope this helps!

-2.3w-12

Add all like terms.

(8.9w-11.2w)+(6.2-12-6.2)

Answer:

[tex]\frac{-23w}{10}[/tex]  - 12

Step-by-step explanation:

Answer:

15-11=4 feet

Step-by-step explanation:

Answer:

12/9

Step-by-step explanation:

bezfhyshotwhirdd

Answer:

.3 repeating

Step-by-step explanation:

Answer:

b=-4/21

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

i think A/100 or something like that

Answer:

I'm sorry. I cannot explicitly give you an answer. The picture of the polygon is not provided. You may have forgotten to upload it, nevertheless, I''ll try my best to be of help to you.

Step-by-step explanation:

There are many different polygons. But the general formula to finding the perimeter of a polygon is:

P = n * l

n = number of sides

l= value shared and assigned to each side

The general formula to finding the area of a regular polygon is:

A = (n*l*apothem )/2

n = number of sides

l = length of one side

apothem = the value of the segment connecting the center of the polygon to a midpoint of one of the sides.

Hope this helps a little! You can always submit the question again with the picture and I'll be more than happy to help you. <3

Answer:

a) -8/3 < 7/2

b) -5/11 > -6/11

Step-by-step explanation:

For a - Each negative number is less than a positive number.

For b- when we compare 5/11 and 6/11, it is 5/11= 0.4545... , 6/11=0.5454... The first number after (0.-) is 4 for 5/11, and 5 for 6/11. 4<5, it means that 5/11 < 6/11 , but in question they are negative, and in that situation the result will be the opposite. -5/11>-6/11

Answer:

C. 25m

Step-by-step explanation:

___________

[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

x² = (15,1)² - (9,7)²

x² = 228,01 - 94.09

x² = 133,92

x = 11,6in✔

Answer:

Point-slope form: y - 9 = 1/3 (x - 3)

y-intercept form = 1/3x + 8

Step-by-step explanation:

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:

y -9 = 1/3(x - 3)

y-intercept form

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line will be calculated by the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (12-9)/12-3) = 3/9 = 1/3

Point-slope form:-

y -9 = 1/3(x - 3)

y-intercept form:-

y - 9 = 1/3x -1

y = 1/3x - 1 + 9

y = 1/3x + 8

Therefore, point-slope form: y - 9 = 1/3 (x - 3) and y-intercept form = 1/3x + 8.

To know more about an equation of the line follow

brainly.com/question/18831322

#SPJ2

Answer:

Bodmas in full is Bracket Of Division

Bracket Of Division Multiplication Addition and Subtraction

[tex]2 + 4 \times 6 \div 3[/tex]

[tex]2 \div 3 \times 6 + 4[/tex]

[tex]0.66666 \times 6 + 4[/tex]

[tex]4 + 4[/tex]

[tex] = 8[/tex]

hope that helps you

Answer:

m= 15

Step-by-step explanation:

⅔m-7=3

⅔m=3+7

2m=10*3

m=30/2

m=15

Answer: 466.56

Step-by-step explanation:

Volume = pi times radius^2 times height/3

Radius = 1/2 of the diameter

Volume = 3.24 times 6^2 times 12/3

Volume = 3.24 times 36 times 4

Volume = 116.64 times 4

Volume = 466.56

Answer:

1.5 or 3/2

Step-by-step explanation:

Answer:

64 i think sorry if wrong

Step-by-step explanation:

Answer:

5 1/3 + 9 2/3

Step-by-step explanation:

A number minus a negative number will be the same thing as addition

Answer:

2.5*10^5

Step-by-step explanation:

Answer:

2.5 * 10⁵ is the correct answer

Answer:

he had $24 in the bank

Step-by-step explanation:

the total money he withdrew was $9 plus $3

that is $12

and we were told he withdrew half of his money from the bank

that is $12

that means he had twice of $12 in the bank which is $24

Answer:

$24

Step-by-step explanation:

9+3=12 Then 12x2=24

Answer:

36.897

Step-by-step explanation:

Answer:

The best deal is the middle one.

Step-by-step explanation:

35.95 with a 20% discount.

You can do this the straight forward way. Take 20% 35.95

20/100 * 35.95 = 7.19

Now subtract this from 35.95

35.95 - 7.19 = 28.76

15/100 * 29.75 = 4.46

29.75 - 4.46 = 25.28

25% * 38.49 = 9.62

38.49 - 9.62 = 28.86

Answer:

0.8

Hope this Helps

Answer:

0.8

Step-by-step explanation:

I toke the quiz.

Answer: Yes

Step-by-step explanation: It's a fuction because not both of the lines hit the same point on the graph.

Answer:

2 graphs represent a linear relationship

Step-by-step explanation:

2 out of your 3 graphs make a straight line if you were to draw a line throught the points

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (14, 0 ) and (x₂, y₂  ) = (4, - 5 )

m = [tex]\frac{-5-0}{4-14}[/tex] = [tex]\frac{-5}{-10}[/tex] = [tex]\frac{1}{2}[/tex]