Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=

−

11

Answer:

Option 2: y = a(x + 1)² - 9

Step-by-step explanation:

Given the graph of an upward-facing parabola, whose vertex occurs at point (-1, -9) as its minimum point.  

Using the vertex form of the quadratic equation, y = a(x - h)² + k:

where:

a = determines the wideness and the direction of where the graph opens.

(h, k) = vertex

h = determines the horizontal translation of the graph

k = determines the vertical translation of the graph

Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of a:

0 = a[2 - (-1)]² - 9

0 = a(2 + 1)² - 9

0 = a(9) - 9

Add 9 to both sides to isolate a:

0 + 9 = 9a - 9 + 9

9 = 9a

Divide both sides by 9 to isolate a:

[tex]\displaystyle\mathsf{\frac{9}{9}\:=\:\frac{9a}{9}}[/tex]

a = 1

Therefore, the vertex form of the given parabola is: y = a(x + 1)² - 9.

Answer:

x >2

Step-by-step explanation:

*The exponential function gets steeper when x is greater than 2

Answer:

D. x>2 is the answer got it right

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]

Answer:

b=14

Step-by-step explanation:

the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.

5b=b+56

4b=56

b=14

In this exercise we want to calculate the value of b knowing that these are parallel lines, like this:

[tex]b=14[/tex]

They are two distinct lines that have the same angular coefficient, they never intersect and there is no point in common between them.

With this information we can solve this exercise as:

[tex]5b=b+56\\4b=56\\b=14[/tex]

See more about parallel lines at brainly.com/question/16701300

Answer:

Sorry po just seen your email and I

Answer:

Sorry po just seen your email and I

Answer:

$1,251

Step-by-step explanation:

Formula: [tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Plug the values into the formula; solve:

[tex]r = \frac{r}{100}[/tex]

[tex]r = \frac{1.4}{100}[/tex]

[tex]r = 0.014[/tex]

0.014 rate per year

[tex]A = Pe^{rt}[/tex]

[tex]A = 1,200.00^{(2.71828)}^{(0.014)(3)}[/tex]

[tex]A = $1,251.47\\[/tex]

1,251.47 is 1251 rounded because the first value after the decimal point is not greater or equal to 5.

Answer:

1251

Step-by-step explanation:

[tex](x+1)^2 = x^2 +2x + 1[/tex]

Answer:

a) 8/17

b) 4/17

c) 5/17

d) 48/187

Step-by-step explanation:

a) P(silver) = 16/34 = 8/17

b) P(blue) = 4/17

c) P(red) = 5/17

d) P(silver, not silver) = 8/17 × 18/33 = 144/561 = 48/187

The probability for each event are -

[A] -  8/34

[B] -  16/34

[C] -  10/34

[D] -  18/33

        P(A) = n(A)/n(S)

        where -

        n(A) = Number of outcomes favorable to event A.

       n(S) = Total number of outcomes

We have 16 silver cars, 8 blue cars and 10 red cars in a parking lot.

[A] -

P{silver} = 8/(16 + 8 + 10) = 8/34

[B] -

P{blue} = 16/(16 + 8 + 10) = 16/34

{C} -

P{red} = 10/(16 + 8 + 10) = 10/34

D) -

P{not silver} = 1 - 15/33 = 18/33

Therefore, the probability for each event are -

[A] -  8/34

[B] -  16/34

[C] -  10/34

[D] -  18/33

To solve more questions on Probability, visit the link below -

brainly.com/question/24028840

#SPJ2

Answer:

n=22.23

Step-by-step explanation:

21+n=43.23

-21 to both sides

0+n=22.23

n=22.23

Answer:

it correct because i took this before

Answer: 50/19

Step-by-step explanation:

I'm no math genius however I believe this is division.

500/190 gave me a fraction which is 50/19.

If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.

First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.

So let's assume that Loto begins at the point (0, 0).

Then:

So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd

So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:

[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]

So, if he could walk directly he would only walk 22.8 ft

The difference is:

33yd - 22.8yd = 10.2 yd.

He would walk 10.2 yards less if he could walk directly from the back door to the barn door.

If you want to learn more about displacements, you can read:

https://brainly.com/question/13271165

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

Answer:

1. of, applicable to, or referring to all the members of a genus, class, group, or kind; general

Step-by-step explanation:

Answer:

x=2?

Step-by-step explanation:

Answer:

tang inamo ok please tell me

Answer:

(a) 63               (b) 99

Step-by-step explanation:

(a)

length x 2 = 150

275-150=126/2= 63

(b)

8712/88= 99

Answer:

The equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5 is

y = 3x - 1

A line is parallel to another when they both have the same slope.

The two equations above have a common slope of 3.

I hope this helped. Have a good new year!

Answer:

No

Step-by-step explanation:

In the ordered pair (2,1), 2 is the x-value and 1 is the y-value.

In the first equation, replace x with 2 and y with 1.

8x+7y

= 11

8(2)+7(1)

≟ 11

16+7

≟ 11

23

≟ 11

No, 23≠11.

Plugging (2,1) into the first equation did not result in a true statement. So, (2,1) is not a solution to the system of equations.

the solution to the system of equation from the replacement set is -5

Given the equation −6z+1=−4−7z, we are to find the value of z from the given equation:

Given

−6z+1=−4−7z

Collect the like terms;

-6z + 7z = -4 - 1

Simplify the result

z = -4 -1

z= -5

Hence the solution to the system of the equation from the replacement set is -5

Learn more on equation here: https://brainly.com/question/2972832

Answer:

-5

Step-by-step explanation:

I took the quiz in k12

108/72  x 100% = 150%

Answer:

C

Step-by-step explanation:

1 foot = 12 inches                          Find 1/4 foot in inches

1/4 a foot = 1/4 * 12 = 3 inches

6 1/4 feet = (6 + 1/4) * 12

=72 + 3

75 inches

Answer:

x=1/2 y =1

Step-by-step explanation:

(-4x+2y)/2x5=0/2x5

10x+3y=8

(-2x+y)x5=0

10x+3y=8

-10x+5y=0

10x+3y=8

8y=8

y=1

x=1/2

Answer:

see explanation

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

(1)

[tex]10^{8}[/tex] = 100,000,000 ( with b = 10 and n = 8 )

[tex]log_{10}[/tex] (100,000,000) = 8

(2)

[tex]10^{-4}[/tex] = 0.0001 ( with b = 10 and n = - 4 )

[tex]log_{10}[/tex] (0.0001) = - 4

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-8)

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

Answer:

X=2

Step-by-step explanation:

Triangle

3x+18

Rectangle

6x+12

Same perimeter:

3x+18=6x+12             //-12

3x+6=6x                   //-3x

6=3x                         //:3

2=x

Answer:

x = 2

Step-by-step explanation:

Perimeter of triangle = a + b + c

Perimeter of rectangle = 2(l + b)

=> x + 5 + x + 6 + x + 7 = 2(2x - 1 + x + 7)

=> 3x + 18 = 2(3x + 6)

=> 3x + 18 = 6x + 12

=> 3x - 6x = 12 - 18

=> -3x = -6

=> x = -6/-3

=> x = 2