determine the domain and the range for the relation in interval notation​

Answer:

the 4th graph.

Step-by-step explanation:

by solving for Y in the first equation, we get the y-intercept of -1 and the second equation has a y-intercept of 1. 4th graph is the only graph with those 2 intercepts

Answer:

what's the question? we need to know in order to help

Answer:

[tex]y = -\frac{3}{4}x-\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{(-6) - 3}{6 - (-6)}\\m = \frac{-9}{12}\\m = \frac{-3}{4}[/tex]

Next, calculate the y-intercept:

Choose any point on the line.

[tex](-6,3)[/tex]

Solve for [tex]b[/tex].

[tex]y = mx + b\\b = y - (mx)\\b = 3 - (\frac{-3}{4} * -6)\\b = 3 - \frac{9}{2}\\b = \frac{-3}{2}[/tex]

Finally, create the equation:

 [tex]y = -\frac{3}{4}x-\frac{3}{2}[/tex]

Answer:

what???

Step-by-step explanation:

im not sure what you are talking about

Answer:

A(t) = amount remaining in t years

      = A0ekt, where A0 is the initial amount and k is a constant to                     be determined.  

Since A(1690) = (1/2)A0 and A0 = 80,

                we have 40 = 80e1690k

                1/2 = e1690k

                ln(1/2) = 1690k

                k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

                           = 80e-0.172

                           ≈ 67.4 g

Step-by-step explanation:

Answer:

5 : 6

Step-by-step explanation:

the ratio of

blue : red

= 10 : 12 ( divide both parts by 2 )

= 5 : 6 ← in simplest form

Answer:

Elon Musk 269.7 B
Jeff Bezos: 170.15 B
Bill Gates: 130.23 B

Step-by-step explanation:

If you had a trail of 1 billion 1 dollar bills, it would stretch out to 96,900 miles.

If you did that with 100 billion 1 dollar bills, that would be 9,690,000 miles.

That is more than 300 times the circumference of the Earth.

Answer: what I understood from the question that you want this side and the other side so the fust side equals 33 and the second side after the equal side equals -20 so 33 = -20

Step-by-step explanation: I hope it is correct .

Answer:

20

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Any negative number added to a positive number always brings you further to the left, which is considered the negative zone. It's more like subtracting in a different way. That said, let's make the equation.

[tex]-4 = -4[/tex]

Now, multiply 3 by 8.

[tex]3 * 8 = 24[/tex]

Add negative 4, meaning subtract 4 in a dynamic way.

[tex]|-4 + 24~| = 20[/tex]

Answer:

7/5 = 1  2/5

Step-by-step explanation:

You need to multiply the number of bowls filled, by the amount of candy that goes into each bowl.

There are 7 bowls to fill and 1/5 of a bag of candy goes in each bowl.

7 * 1/5 = 7/5

This works out to 7/5 or 1 and 2/5.

The coordinate of a function are written in the form (x, y). The coordinates (11, 108) and (15, 140) satisfy the function

The coordinate of a function are written in the form (x, y)

Given the amount of money Emily spends, after r rides, at a carnival

is modeled by the function y = 8r + 20

We are to determine the coordinate that satisfies the function

For the coordinate (15, 140)

If r = 15, then

y = 15(8) + 20
y = 140

Hence the coordinate (15, 140) satisfy the function

For the coordinate (11, 108)

If r = 11, then

y = 11(8) + 20
y = 108

Hence the coordinate (11, 108) satisfy the function

Learn more on function here: https://brainly.com/question/25638609

#SPJ1

Answer: 9

Step-by-step explanation:

Past the point of 12 there are a total of 9 plants represented.

Answer: hii :)

Step-by-step explanation:

The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.

Hopefully this helps you

- Matthew

Answer:

[tex]\sf \dfrac58[/tex]

Step-by-step explanation:

Given:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}[/tex]

[tex]\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}[/tex]

As the marbles are replaced:

[tex]\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}[/tex]

[tex]\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}[/tex]

Therefore:

[tex]\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58[/tex]

Answer:

Cost of slate path using π:   $980.18 (nearest cent)

Cost of slate path using π = 3.14:   $979.68

Step-by-step explanation:

Formula

Area of a circle = πr²  (where r is the radius)

First, calculate the area of the slate path by subtracting the area of the pond from the area of the larger circle.

Area of larger circle = π · 8² = 64π ft²

Area of pond (smaller circle) = π · 4² = 16π ft²

⇒ area of slate path = 64π - 16π = 48π ft²

If the cost of the slate is $6.50 per ft² then,

Cost of slate path using π:

⇒ 48π × $6.50 = $980.18 (nearest cent)

Cost of slate path using π = 3.14:

⇒ 48 × 3.14 × $6.50 = $979.68

Answer:

Step-by-step explanation:

The interquartile range is the difference between Q3 and Q1.

Since Q3 = 75% mark and Q1 = 25% mark, this range is representing the data between those 2 marks:

The blank is 50%

Answer:

[tex]\implies \dfrac{80}{90}-\sqrt{50} \times 19^2 \div 23^2[/tex]

Order of operations (PEDMAS)

Following the order of operations,
Carry out the exponents (and radicals) first:

[tex]\implies \dfrac{80}{90}-\sqrt{25 \cdot 2} \times 361 \div 529[/tex]

[tex]\implies \dfrac{80}{90}-5\sqrt{2} \times 361 \div 529[/tex]

Now the multiplication and division (from left to right):

[tex]\implies \dfrac{8}{9}-1805\sqrt{2} \div 529[/tex]

[tex]\implies \dfrac{8}{9}-\dfrac{1805\sqrt{2}}{529}[/tex]

Convert the fractions so that their denominators are the same:

[tex]\implies \dfrac{8 \times 529}{9 \times 529}-\dfrac{1805\sqrt{2} \times 9}{529 \times9}[/tex]

[tex]\implies \dfrac{4232}{4761}-\dfrac{16245\sqrt{2}}{4761}[/tex]

Answer as a fraction:

[tex]\implies \dfrac{4232-16245\sqrt{2}}{4761}[/tex]

Answer as a number:

[tex]\implies -3.936546801... = -3.9\: \textsf{(nearest tenth)}[/tex]

Answer:

m angle 2 = 60° (vertically opposite)

m angle 3 = 120° (linear pair)

m angle 1 = 120° (linear pair)

Answer:

natural numbers 1,2,3,4,5,6..........

Step-by-step explanation:

Answer:

yes you are

hope this helps

Answer:

355 full boxes. 356 if you don't count the not full one that she would need.

Step-by-step explanation:

3908/11 = 35.272727

Answer:

f#### no b#### how bout you get some brains and figure it out on your own. N####

Answer:

An airline claims that the no-show rate for passengers is less than 5%. In a sample of 420 randomly selected reservations, 19 were no-shows. At α=0.01, test the airline's claim. State the sample percentage and round it to three decimal places.

State the hypotheses.

State the critical value(s).

State the test statistics.

State the decision

State the conclusion.

Step-by-step explanation:

Vertex form is: [tex]a(x-h)^2+k[/tex]

a) [tex]a(x+2)^2+3=y[/tex]

To find a, plug (-4,1) in for x and y.

[tex]a(-4+2)^2+3=1[/tex]

[tex]4a=-2[/tex]

[tex]a=-1/2[/tex]

so a) is [tex]\frac{-1}{2} (x+2)^2+3[/tex]

b) .... I'm not sure what the second coordinate is.

c) [tex]a(x+2)^2-3[/tex]

Plug in (-5,6) for x and y.

[tex]6=a(-5+2)^2-3[/tex]

[tex]9=9a[/tex]

[tex]a=1[/tex]

so c) is [tex](x+2)^2-3[/tex]

d) [tex]a(x+2)^2+5[/tex]

Plug (1,-4) in for x and y.

[tex]-4=a(1+2)^2+5[/tex]

[tex]-9=9a[/tex]

[tex]a=-1[/tex]

so d) is [tex]-(x+2)^2+5[/tex]

Answer:

[tex]\textsf{(a)}\quad y=-\dfrac{1}{2}(x+2)^2+3[/tex]

[tex]\textsf{(b)}\quad y=a(x+1)^2-1[/tex]

[tex]\textsf{(c)}\quad y=(x+2)^2-3[/tex]

[tex]\textsf{(d)}\quad y=-(x+2)^2+5[/tex]

Step-by-step explanation:

Vertex form

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

-------------------------------------------------------------------------------------------

Part (a)

Given:  vertex at (-2, 3) passes through (-4 ,1)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+3[/tex]

[tex]\implies y=a(x+2)^2+3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 1=a(-4+2)^2+3[/tex]

[tex]\implies 1=4a+3[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Substitute the found value of a to form the final equation:

[tex]y=-\dfrac{1}{2}(x+2)^2+3[/tex]

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Part (b)

Given:  vertex at (-1, -1) passes through ?)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-1))^2+(-1)[/tex]

[tex]\implies y=a(x+1)^2-1[/tex]

Substitute the given point into the equation to find a:

**no point given**

-------------------------------------------------------------------------------------------

Part (c)

Given:  vertex at (-2, -3) passes through (-5, 6)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+(-3)[/tex]

[tex]\implies y=a(x+2)^2-3[/tex]

Substitute the given point into the equation to find a:

[tex]\implies 6=a(-5+2)^2-3[/tex]

[tex]\implies 6=9a-3[/tex]

[tex]\implies a=1[/tex]

Substitute the given point into the equation to find a:

[tex]y=(x+2)^2-3[/tex]

-------------------------------------------------------------------------------------------

Part (d)

Given:  vertex at (-2, 5) passes through (1, -4)

Substituting the given vertex into the equation:

[tex]\implies y=a(x-(-2))^2+5[/tex]

[tex]\implies y=a(x+2)^2+5[/tex]

Substitute the given point into the equation to find a:

[tex]\implies -4=a(1+2)^2+5[/tex]

[tex]\implies -4=9a+5[/tex]

[tex]\implies a=-1[/tex]

Substitute the given point into the equation to find a:

[tex]y=-(x+2)^2+5[/tex]

Here given that

So

Every person has one and only mouth

Means

So

Answer:

y=2x+9

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

y-3=2(x+7)

m=2

y intercept: b=9

y=mx+b where m=2 b=9

y=2x+9

Answer:

13

Step-by-step explanation:

Answer:

B and E

Step-by-step explanation:

A.

-6(2x - 1)
Distribute the -6.

-12x + 6

B.

6(2x - 1)
Distribute the 6.

12x - 6

C.

6x(2 - 1)

Subtract inside parenthesis.

6x(1)
Multiply.

6x

D.

-6x(2x - 1)
Distribute the -6x.

-12x² + 6x

E.

-6(-2x + 1)
Distribute the -6.

12x - 6

F.

6x(-2x + 1)

Distribute the 6x.

-12x² + 6x