Mr. Cutting thought 8 students to come to small groups on Thursday, but

Write the slope and y intercept of each equation:

vichka [17]

Answer:

A) slope = 2, y-intercept = -6

B) slope = -4, y-intercept = 6

Step-by-step explanation:

A) y = 2x - 6

The equation for a line is y = mx + b, where m represents the slope, and b represents the y-intercept. So, to find the slope and y-intercept, all we have to do is look at the line's equation.

Here, the m is 2, so the slope is 2

The b is -6, so the y-intercept is -6

B) y = -4x + 6

Here, the m is -4, so the slope is -4

The b is 6, so the slope is 6

You would graph the equation y = 4x + 6 by plotting a point at the y-intercept of the line, which would be 6. Then, for every time you move one space to the right, you'd plot a point four spaces up to show the slope of four.

7 0

3 years ago

A probability experiment is conducted in which the sample space of the experiment is Sequals=StartSet 9 comma 10 comma 11 comma

White raven [17]

Answer:

From both approaches P(F or G)=0.667

Step-by-step explanation:

P(F or G)=?

F={9, 10, 11, 12, 13}

G={13,14,15,16}

Finding P(F or G) by counting outcomes in F or G

F or G={9, 10, 11, 12, 13}or {13,14,15,16}

F or G={9, 10, 11, 12,13,14,15,16}

number of outcomes in F or G=n(F or G)=8

S={9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

number of outcomes in S=n(S)=12

P(F or G)=n(F or G)/n(S)

P(F or G)=8/12

P(F or G)=0.667

Finding P(F or G) by addition rule

P(F or G)=P(F)+P(G)-P(F and G)

F={9, 10, 11, 12, 13}

number of outcomes in F=n(F)=5

P(F)=n(F)/n(S)

P(F)=5/12

P(F)=0.417

G={13,14,15,16}

number of outcomes in G=n(G)=4

P(G)=n(G)/n(S)

P(G)=4/12

P(G)=0.333

F and G={9, 10, 11, 12, 13}and {13,14,15,16}

F and G={13}

number of outcomes in F and G=n(F and G)=1

P(F and G)=n(F and G)/n(S)

P(F and G)=1/12

P(F and G)=0.083

P(F or G)=P(F)+P(G)-P(F and G)

P(F or G)=0.417+0.333-0.083

P(F or G)=0.667

8 0

3 years ago

Read 2 more answers

Y=f(x)=2^x find f(x) when x=1

larisa86 [58]

$f(x) = 2^x$

When x = 1

$f(1) = 2^{1} = 2$

Answer : f(1) = 2

7 0

3 years ago

Read 2 more answers

Do I have to solve this before graphing it and if so how do I go about it?

defon

Given the System of Equations:

$\begin{cases}y=4x-1 \\ \\ y=x-4\end{cases}$

The exercise asks for solving it graphically. Then, in this case, you need to graph both lines in order to determine the solution of the system.

In order to graph it, you can find the x-intercepts and the y-intercepts:

1. It is important to remember the Slope-Intercept Form of the equation of a line:

$y=mx+b$

Where "m" is the slope of the line and "b" is the intercept.

In this case, you can identify that the y-intercept of the first line is:

$b_1=-1$

And the y-intercept of the second line is:

$b=-4$

2. By definition, the value of "y" is zero when the line intersects the x-axis.

Then, you need to substitute the following value of "y" into each equation and then solve for "x", in order to find the x-intercept of each line:

$y=0$

- For the first line, you get:

$\begin{gathered} y=4x-1 \\ 0=4x-1 \\ 1=4x \\ \\ \frac{1}{4}=x \\ \\ x_1=0.25 \end{gathered}$

- For the second line, you get:

$\begin{gathered} y=x-4 \\ 0=x-4 \\ 4=x \\ x_2=4 \end{gathered}$

3. Now you know that the first line passes through these two points:

$(0.25,0);(0,-1)$

And the second line passes through these two points:

$(4,0);(0,-4)$

4. Knowing those points, you can graph the lines:

Notice that the line intersect each other at

5 0

1 year ago

What number do you reach when you start at -7 and move 3 units to the right

Vesna [10]

Answer: The number you reach would be -4

Step-by-step explanation:

5 0

3 years ago