You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 7 and then picking a number greater than 5?

Write your answer as a fraction or whole number.

Answer:

say for example you have 3.14 you multiply by 12.45 what would do?

Step-by-step explanation:

Answer:

say for example you have 3.14 you multiply by 12.45 what would do?

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Answer:

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)

Step-by-step explanation:

Given quadratic equation:

\(ax^2 + (2a + 2)x + a + 3 = 0\)

To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.

\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

Comparing the coefficients:

Substitute the coefficients into the quadratic formula:

\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)

Simplify the discriminant (the part under the square root sign):

\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)

Factor out 4 from the discriminant:

\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)

Therefore:

\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)

Factor out the common term 2:

\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)

Therefore, the two solutions are:

\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)

As both solutions have "a" as their denominator, a ≠ 0.

Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.

Now we have found expressions for the two roots, we can set the distance between them to greater than 1:

\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)

\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)

Simplify:

\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)

\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)

\(-\sqrt{8} < a+2 < \sqrt{8}\)

Therefore:

\(-\sqrt{8} -2 < a < \sqrt{8}-2\)

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)

So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:

\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)

Answer:

3

Step-by-step explanation:

5$ -40%=3

Answer:

sorry need point rn

Step-by-step explanation:

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Answer:

hi, um so what answer

Step-by-step explanation:

Answer:

I have answered the question

Step-by-step explanation: I have answered the question

Answer:

20

Step-by-step explanation:

Using the distance formula

Answer: all you got to do is count all the space and you well get  close to the -10 to be 6 -7

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

#SPJ1

The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

- 9

Step-by-step explanation:

please give brainliest<3

Answer:

y=3

Step-by-step explanation:

(3 + 12) / (7 - 12) = (15) / (-5) = -3

Answer:

256 in2

Step-by-step explanation:

Brainliest

Answer:

The number of statues = 7/8 × 16 = 14.

Answer:

Can you add more to it because this does not make sense if they numbers are already on the chart what numbers can we use

Step-by-step explanation:

Answer:

y = 6x + 2

Step-by-step explanation:

I'm a math expert. If I helped you, give me brainliest.

Answer:

Parentheses

Step-by-step explanation:

In PEMDAS, the p stands for parentheses which is before exponents, multiplication, and division.

Answer:

14

Step-by-step explanation:

Answer:

Lemme explain one step by one

First,i will write an equation

Length times Length equals 196

You can put 196 as square root since it has to be the same number times the same number

12 times 12 is 144

13 times 13 equals 169

14 times 14 equals 196

So the answer is 14.

Step-by-step explanation:

Hope this helps and if you need more help,feel free to ask

~Marion

Answer:

3x+3y

Step-by-step explanation:

5x+3y-2x

=5x-2x+3y

=3x+3y

Answer: 63 Juice boxes

Step-by-step explanation: So you know that 7(cartons of milk)+3(juice boxes)= 10 so you divide 210 by 10 and you get 21. 21x3 is 63 so 63 juice boxes are sold. To check the answer i did 21x7 and i got 147. 147+63=210

63 juice boxes and 147 cartons of milk are sold.

Answer:

A, D,E

Step-by-step explanation:

They are all divisible by 5

Answer:

D. six and seven-twelfths tubes. you can find online fraction calculators

Step-by-step explanation:

Answer:14

Step-by-step explanation:

Answer:

Mike had 14 to begin with.

Step-by-step explanation:

16 - 9 = 7

7 x 2 = 14

14 / 2 = 7

9 + 7 = 16

Answer:

19

Step-by-step explanation:

85-66=19

Answer:

19

Step-by-step explanation:

19+66=85

85-19=66

66-85=19