X^2 - 6x = -9 Solve using the quadratic formula. Approximate answers to the nearest tenth.

Answers

Answer 1

Answer: $x^2 - 6x = -9\n\nx^2 - 6x +9=0\n \na=1, \ \ b=-6, \ \ c=9 \n\n \Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 9 = 36 -36 =0 \n \nx_(o)=(-b )/(2a)=( 6)/(2 )=3$

Answer 2

Answer: $(a-b)^2=a^2-2ab+b^2$ <--this is formula
$x^2-6x+9=0$
$x^2-(2*1*3)x+3^2=0$ a=1,b=3
$(x-3)^2$

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Write the equation of a line that isperpendicular to y = -2/3x - 4 andpasses through the point (0, 0).

Which of the following functions has the largest value when x = 4?e(x) = x2 + 6x + 21
m(x) = 8x
v(x) = 31x

Answers

Answer: $v(x)=31x$

Step-by-step explanation:

Given Functions: $e(x)=x^2+6x+21$

$m(x)=8x\n\nv(x)=31x$

At x=4

$e(4)=(4)^2+6(4)+21\n=16+24+21=61\n\nm(4)=8(4)=32\n\nv(4)=31(4)=124$

here we can see v(4) has the largest value of 124 at x=4 .

Therefore, $v(x)=31x$ is the function which has the largest value at x=4.

$e(4)=4^2+6 * 4+21=16+24+21=61 \n \nm(4)=8 * 4=32 \n \nv(4)=31 * 4=124$

v(x) has the largest value when x=4.

A population of values has a normal distribution with $ \mu=195.5 $ and $ \sigma=25.3 $. You intend to draw a random sample of size $ n=215 $. Find the probability that the sample mean is greater than 197.2.

Answers

I apologize for the oversight. Let's solve it and provide the answer.

Step-by-step explanation :

1. **Standard Error Calculation :

\[ SE = \frac{\sigma}{\sqrt{n}} \]

\[ SE = \frac{25.3}{\sqrt{215}} \]

\[ SE \approx 1.7292 \]

2. **Z-Score Calculation:**

\[ z = \frac{X - \mu}{SE} \]

\[ z = \frac{197.2 - 195.5}{1.7292} \]

\[ z \approx 0.9836 \]

3. Finding the Probability :

To find the probability that the sample mean is greater than 197.2, we need to find the area to the right of the z-score in the standard normal distribution table.

For $ z \approx 0.9836 $, the area to the left is approximately $ 0.8374 $.

Since we want the area to the right (the probability the sample mean is greater than 197.2), we need to subtract that value from 1 :

\[ P(X > 197.2) = 1 - 0.8374 \]

\[ P(X > 197.2) = 0.1626 \]

Answer : The probability that the sample mean is greater than 197.2 is approximately $ 0.1626 $ or $ 16.26\% $.

Can someone help me please

Answers

Wow ! If I understand what's go0ing on here, then
we have to be careful, and THINK .

I was going to ask you "What does Ф mean ?", and then I realized,
Ф is a new operation that the teacher invented.

The first line on the board is the definition of Ф .

Ф means "Add the two numbers and subtract 4."

Now you have to use this new invention to find the value
of the second line:

Take care of the stuff inside the parentheses first: ( 4 Ф 2 )
Add the two numbers and subtract 4
4 + 2 - 4 = 2
That's the part inside the parentheses. It's 2 .

NOW, we have to do the new operation with the 2 inside,
and the 3 that's outside the parentheses:

3 Ф 2
Add the two numbers and subtract 4
3 + 2 - 4 = 1

And that's the final value of 3 Ф (4 Ф 2) . It's 1 .

Pretty sneaky.

The correct answer I got was 1

Edwin and Anthony are building a rectangular deck in their backyard. The longer side is 2 ft more than 1/3 of the perimeter. The shorter side is 1/10 of the perimeter. They also know that the longer side is 9 ft longer than the shorter side. What is the perimeter of the deck?

Answers

Answer:

30 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Perimeter = x

Length = 1/3x + 2

Width = 1/10x

Length = 9 + 1/10x

Perimeter of the deck = 2(length + width)

x = 2(1/3x + 2 + 1/10x)

x = 2(10x+3x/30 + 2)

x = 2(13/30x + 2)

x = 26/30x + 4

x - 26/30x = 4

30x-26x/30 = 4

4/30x = 4

Divide both sides by 4/30

x = 4 ÷ 4/30

= 4 × 30/4

x = 30 ft

Length = 1/3x + 2

= 1/3(30) + 2

= 30/3 + 2

= 10 + 2

= 12 ft

Width = 1/10x

= 1/10(30)

= 30/10

= 3 ft

Length = 9 + 1/10x

= 9 + 1/10(30)

= 9 + 30/10

= 9 + 3

= 12 ft

The perimeter of the deck = x = 30 ft

Heather's soccer team can win (W), lose (L), or tie (T) each game. Which of the following are elements in the sample space for 2 soccer games? Check all that apply. A. LT
B. WT
C. LL
D. WW
E. WWW
F. WLT

Answers

The elements that can take place for 2 soccer games is option A, B, C, D.

What is Permutation and Combination?

Permutation is the method of arranging all the elements of the set in order, Combination is the selection of elements from the set such that the order of selection does not matter.

The winning of a game by soccer team is denoted by W

The losing is denoted by L

The tie in the match is denoted by T

The elements that can take place for 2 soccer games is

A. LT

B. WT

C. LL

D. WW

To know more about Permutation and Combination

brainly.com/question/13387529

#SPJ2

Its actual the first 4 elements A,B,C, D