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2 years ago

What is the slope of the line shown below

Mathematics

2 answers:

gizmo_the_mogwai [7]2 years ago

8 0

Answer:

A. 4

Step-by-step explanation:

1. Use the SLOPE FORMULA: M= rise/run= y2-y1/x2-x1

2. Plug in the two coordinates that were plotted on the equation: (1,1) & (3,9)

3. Label the coordinates

( 1 , 1 ) = ( x1, y1 )& ( 3, 9 ) = ( x2, y2 )

4. SOLVE & PLUG IN

m = 9 - 1 / 3 - 1 = 8 / 2

5. Simplify 8/2 (Divide by 2)

6. answer: 4/1 = 4

Elan Coil [88]2 years ago

3 0

Answer:

A. 4

$slope \: (m) = \frac{8}{2} = 4$

Step-by-step explanation:

Find the slope using the graph

It's an increasing linear function

equation: y= 4x-3

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Explain how the words term and coefficient are used in talking about the algebraic expression.

cupoosta [38]

<h2>Answer:</h2>

The algebraic expressions are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first two.

The terms are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).

For example, in the following expression:

2x-3x

We have two terms separated by the negative sign (-):

2x is the first term

-3x is the second term

Now, the coefficients are the numbers that multiply the variable. Note that if this coefficient is one (1) it is omitted .

For example in the following expression, the variable is x:

2x-3x+x

2 is the coefficient of x in the first term

-3 is the coefficient of x in the second term

1 is the coefficient of x in the third term, but is omitted

In order to understand this in a better way, see the figure attached, where the algebraic expression is composed by one term.

6 0

3 years ago

Plz really ned help on this really easy!! simplify: 4(5x + 12) Thank you all in advance!!!

Katarina [22]

4(5x + 12) simplified = 20x + 48

4 0

2 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

5 0

3 years ago

Michael is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability 0.60. , point,

Sati [7]

Answer:

0.1306

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of free throws

x = Number of successes required = 6

p = probability of success = 0.60

q = probability of failure = 1 - 0.60 = 0.40

P(X = 6) = ⁷C₆ (0.6)⁶ (0.4)⁷⁻⁶ = 0.1306368 = 0.1306

Hope this Helps!!!

4 0

2 years ago

Suppose 72 gallons of water came out of a pipe in 8 minutes.

Masteriza [31]

Answer:

9 gallons of water per minute

Step-by-step explanation:

First identify what you know:

1) The pipe was flowing water for eight minutes.

2) In that eight minutes, 72 gallons of water came out.

So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!

72/8 = 9

The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!

Hope this helps! :)

4 0

2 years ago