There are eight marbles in a bag. Four marbles are blue (B), two marbles are red (R) and two marbles are green (G) Steve takes a marble at random from the bag. What is the probability that Steve will take a blue marble.

Answers

Answer 1
Answer:

Answer:

1/2 or 50%

Step-by-step explanation:

Blue= 4, Red= 2, Green= 2

Total marbles= 8

P(B)= 4/8= 1/2 or 50%

Answer 2
Answer:

Answer:

1/2

Step-by-step explanation:

There are 8 marbles in total and 4 are blue, so 4/8 are blue. Then simplify 4/8 and you will get 1/2.


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A line passes through the points (8, 7) and (5, 1). What is its equation in slope-intercept form?

Answers

Answer:

y=2x-9

Step-by-step explanation:

The slope is 2 and the y-intercept is -9

Answer:

y = 2x - 9

Step-by-step explanation:

Y2 - Y1/X2 - X1

7 - 1/8 - 5

6/3

= 2

y = 2x + b

1 = 2(5) + b

1 = 10 + b

-9 = b

y = 2x - 9

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

y = -9.5x^2 + 47.5x + 63

Vertex, V is of the form:

V= (h,k)

Where

h = -(b)/(2a)

and

k = f(h)

Solving for h:

y = -9.5x^2 + 47.5x + 63

y = ax^2 + bx + c

So:

a = -9.5

b = 47.5

c = 63

h = -(b)/(2a)

h = -(47.5)/(2 * -9.5)

h = -(47.5)/(-19)

h = (47.5)/(19)

h = 2.5

Solving for k

k = f(h)

k = f(2.5)

Substitute 2.5 for x in y = -9.5x^2 + 47.5x + 63

k = -9.5 * 2.5^2 + 47.5* 2.5 + 63

k = -59.375+ 118.75 + 63

k = 122.375

Hence:

The vertex is

V = (2.5,122.375)

The correct vertex for the function  y = -9.5x^2 + 47.5x + 63 is (2.5, 122.375).

The given function is y = -9.5x^2 + 47.5x + 63.

To find the vertex of a quadratic function in the form y = ax^2 + bx + c, we can use the formula x = -b / (2a) to find the x-coordinate of the vertex.

In this case, the coefficient of x^2 is -9.5, the coefficient of x is 47.5, and there is no constant term.

Using the formula, we can find the x-coordinate of the vertex:

x = (-b )/( 2a)\nx = (-47.5 )/( (2 * -9.5))\nx = 2.5

Now, substitute this x-coordinate back into the original function to find the y-coordinate:

y = -9.5(2.5)^2 + 47.5(2.5) + 63\ny = -9.5(6.25) + 118.75 + 63\ny = -59.375 + 118.75 + 63\ny = 122.375

Therefore, the correct vertex for the function  y = -9.5x^2 + 47.5x + 63 is (2.5, 122.375).

Micah's error might be related to incorrectly calculating the x-coordinate of the vertex or substituting the wrong value back into the function.

To know more about an expression follow;

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Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

Answers

(7x - 5 ) - ( 3x - 2) 

7x-5-3x+2 

(7x-3x)-5+2          \ Gather \ like \ terms  

4x-5+2 

4x-3


Distribute the minus sign into the second parenthesis to get 7x-5-3x+2.
Then combine like terms to get 4x-3

(2x^+3x-4)+(x²-x-2) help me please!

Answers

you would want to make it into an addition problem that looks like this:
   2x²+3x-4
+ x² - x - 2
___________
  3x² + 2 - 6
  2x²+3x-4
- x²   -x  -2
--------------
  x²+2x-6

A dolphin jumped from 5 feet below the surface of the sea. Jane wrote −5 to represent the depth from which the dolphin jumped. What does 0 represent in this situation?the floor of the sea
the surface of the sea
the level to which the dolphin jumped
the level from which the dolphin jumped

Answers

The surface of the sea.


If -5 means that the dolphin was 5 feet below the surface, then represents the surface of the sea. And, for instance, if the dolphin jumped 5 feet above the surface of the sea, 5 would represent that.

Answer:

Answer: surface of the sea

hope this helps :)

YFind the slope of the line that passes through the points
(2,-5) and (7.1).
x
2
7
y
-5
1
on
4
Step 1: Choose (X1.71).
2
-4
-2
2
4
ON
8
-2
-4
-6
Check

Answers

Answer:

step 1:

2,-5

step 2:

7,1

step 3:

6/5

Step-by-step explanation: