Write the slope-intercept form of the given line. Include your work in your final answer.

Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= [tex]\frac{f(2)-f(0)}{2-0}[/tex]

= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

The key feature of a function include the intercepts and intervals of the function

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

[tex]\mathbf{Range = [-4,2)}[/tex]

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

[tex]\mathbf{Domain = [-5,4)}[/tex]

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{4}{2}}[/tex]

[tex]\mathbf{m =2}[/tex]

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

Read more about features of a function at:

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Answer:

Step-by-step explanation:

From the picture attached,

From ΔABC,

m∠B = 180° - (m∠C + m∠A)

        = 180° - (90° + 32°)

        = 180° - 122°

        = 38°

Now we have to find the trigonometric ratio of BC and AB from ΔABC,

Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(32°) = [tex]\frac{BC}{AB}[/tex]

[tex]\frac{BC}{AB}=0.53[/tex]

Therefore, ratio of BC and AB represents the "sine of angle A".

Problem 1

Answers:

----------------------------------------

Explanation:

The size of a matrix is simply the number of rows and the number of columns. Something like 2x3 means we have 2 rows and 3 columns.

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Problem 2

Answers:

[tex]A_{11} = -1\\\\B_{12} = 6\\\\C_{13} = \text{DNE}\\\\D_{13} = 0\\\\E_{34} = \text{DNE}\\\\A_{22} = 0\\\\B_{21} = 5\\\\C_{31} = -5\\\\D_{23} = 4\\\\E_{22} = -7\\\\[/tex]

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Explanation:

When saying something like [tex]E_{23}[/tex] we are looking at the item in the second row and third column of matrix E.

The acronym DNE stands for "Does Not Exist". It's another way of saying "Undefined". For instance, note how matrix E has only 3 columns. When we write [tex]E_{34}[/tex] we're asking about something in the fourth column, but no such column exists.

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Problems 3 and 4 seem to be cut off because I don't see them on the screenshot.

Answer:

$110

Step-by-step explanation:

450-210= 240÷4= 60 +50=110

Answer:

h(x) = x² + 24

Step-by-step explanation:

First solve for g(2) in g(x) = x³ + 4x² + 8x - 7 by simply substituting 2 in x variable. The result is 33.

Then get the sum of f(x) and 33 to find h(x).

Answer:

1 bathroom to 4 theaters

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Let Q represent the number of quarters. Then (Q-4) is the number of dimes, and the total amount of money is ...

  25Q +10(Q -4) = 520

  35Q = 560 . . . . . add 40

  Q = 560/35 = 16

Ngo has 16 quarters and 12 dimes.

Answer:

Iris weighs 55 pounds, Ivan weighs 65 pounds.

Step-by-step explanation:

Divide 120 by 2: 60

Then make the 10 pound difference by adding and subtracting 5 to 60 for each answer: 55 and 65.

Iris = 55 pounds

Ivan = 65 pounds

Let x be Iris and y be Ivan.

x+ y = 120

y-10+ y = 120

2y - 10 = 120

2y = 120 + 10

2y = 130

y = 130/2

y = 65 pounds

x = y-10

= 65-10

x = 55 pounds

Answer:

meteor hitting earth

Step-by-step explanation:

not sure of actual probability but i believe one that would cause mass extinction is quite improbable

Answer:

129

Step-by-step explanation:

angle DCE= 180-(12X+15)

12X+15=20X-9

X=3

Answer:the correct answer is b

Step-by-step explanation:

Took the test also download the app called photo math all I have to do is take the photo of the problem it’s free of charge

Answer:32.4

Step-by-step explanation:

The measure of ∠W to the nearest 10th of a degree is, 32.9°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, The cosine rule of triangles, In a triangle, ABC with sides opposite to A is a and similar for b and c.

We have. cosA = (b² + c² - a²)/2bc.

Therefore, m∠W = (u² + v² - w²)/2uv.

m∠W = 0.84.

So, cosФ = 0.84.

Ф = cos⁻¹(0.84).

Ф = 32.9°.

learn more about the cosine rule of triangles here :

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Answer:

B

Step-by-step explanation:

Take it one term at a time

Answer: its B

Step-by-step explanation:

[tex]\sqrt[3]{256x^1^0y^7}[/tex]

256 = 2³(2³)(2²)

x^10 = x³(x³)(x³)x

y^7 = y³(y³)y

 Good night!

Answer:

The answer is y = 1/3 |x|

Step-by-step explanation:

Answer:

48 sq inches

Step-by-step explanation:

Given that,

Ribbon used around a bulletin broard is 28 inches

The length of her board is 6 inches

Let B is breadth of her board. 28 inches is perimeter. The perimeter of rectangle is given by :

P = 2(L+B)

28=2(6+B)

14=6+B

B=8 inches

The area of a rectangle is given by :

A = L×B

A = 8×6

A=48 sq inches

So, the area of her board is 48 sq inches

Answer:

Step-by-step explanation:

Given:

Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational

Correct choices

Answer: 90, 180, 270

Step-by-step explanation: 90 es divisible por todos esos números. Para obtener dos números más que sean divisibles por esos, simplemente multiplique 90 por 2 y 3.

Answer:

195 cans will be left after 10 days

Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

i did the edge thing

Answer:

I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

hope this helps

did it on edge

have a good day

Answer:

544

Step-by-step explanation:

430+114

Answer: M=3

Step-by-step explanation:

Answer:

zero

Step-by-step explanation:

Answer:

d.5r√3

Step-by-step explanation:

5 and r is common when square root, so,

√5×5×3×r×r

=5r√3

7 is prime so the least common denominator is 7 times 2 times 5 which is 70.

1 inch to 100 feet

12 inches = 1200 feet.

Just multiply both sides by 12.

The answer is 1200 feet.

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope: change in y/change in x

[tex]\frac{5-1}{2-0}[/tex] = 2

Slope: 2

2. Find y-intercept by substituting in a point (0, 1)

y = 2x + b

1 = b

3. Put the equation together

y = 2x + 1

The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.

y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.

The equation of a line in slope intercept form is,

y = mx + c

Here m is the value of the slope and c is y intercept.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given two points (0, 1) and (2, 5).

Slope, m = (5 - 1) / (2 - 0)

               = 4 / 2

               = 2

c is the y coordinate when x = 0.

We have that point given (0, 1).

So c = 1

Substituting m = 2 and c = 1 in the general form, we get,

y = 2x + 1

Hence the equation of the line is y = 2x + 1.

To learn more about y intercepts, click on the link :

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Answer:

0.037

hope thats the answer

Answer:

Answer= 0.037

Step-by-step explanation:

([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]

(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

which is equal to [tex]\frac{1}{27}[/tex]

or converted to decimals it will be equal to 0.037