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gizmo_the_mogwai [7]

3 years ago

8

A bad contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement. Find the probability both m

arbles are red.

1 answer:

kolbaska11 [484]3 years ago

5 0

The probability is 2/9 because there are 9 marbles and 2 marbles were pulled out. hope I helped XD

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

3 years ago

Dean is ready to buy a new car. He has $24,000 to spend. The sales tax where he lives is 6%. He put his research on car prices i

mixer [17]

The most expensive car Dean can buy is the <span>4-door hatchback.
</span>
22500 x .06 = 13501350 + 22500 = 23850
<span />

5 0

3 years ago

Read 2 more answers

Sum of 2 numbers is 42, and their difference is 8. What are the numbers?

Tems11 [23]

Answer:

25 , 17

Step-by-step explanation:

Let the unknown two numbers be x & y.

According to the question,

Sum of 2 numbers is 42.

x + y = 42 ⇒ ( 1 )

Their difference is 8.

x - y = 8 ⇒ ( 2 )

First let us find the value of x.

( 1 ) + ( 2 )

x + y + x - y = 42 + 8

2x = 50

Divide both sides by 2.

x = 25

And now let us find the value of y.

x + y = 42

25 + y = 42

y = 42 - 25

y = 17

Therefore, the two numbers are 25 , 17

Hope this helps you :-)

Let me know if you have any other questions :-)

8 0

3 years ago

Read 2 more answers

Please help<br><br> What is the measure of ∠c?

malfutka [58]

It’s 56 bc a straight line = 180 so 180-124=56

5 0

3 years ago

The diagram represents a 12cm by 4cm what is the area?

olga_2 [115]

Well, to calculate the area, we would simply do length times width and we would get our area.
Area = Length * Width
Area = 12cm * 4cm
Area = 48cm squared.
So, in conclusion, the area is 48 cm squared.

6 0

3 years ago