Select the correct answer. 3 A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?
a. y = 3/2x - 12
b.y=3/2x+12
c.y=2/3x-12
d y=-12x-3/2
​

The vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞.

The Domain of a function is the set of all possible values that a function satisfies.

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we put an x value in.

Now the given function is,

y = (x + 1) + 3

or, y = x + 4

Now to find the y coordinate of vertex,

put x = 0 in the given function is,

Thus, we get

y = 4

So, the vertex of the given function is

y = x + 1 + 3 is (0, 4); - (0, 4).

Now for range,Put (x + 1) = 0 in the given function

Thus we get,

y ≤  ∞

and y ≥ 3

Thus the range of the given function will be,3 ≤ y ≤ ∞

Thus, the vertex and range of the given function is y = x + 1 + 3 is (0, 4); - (0, 4); 3 ≤ y ≤ ∞

To learn more about domain and range:

https://brainly.com/question/13824428

#SPJ1

Answer:

90 ft

Step-by-step explanation:

first you find the area of the 10 by 3 triangle, since on the other side it,s the same, all we need to do is find one of each triangle then mulitply it by 2 to get the area. then find the area of the 20 by 3 triangle. once you do that you will get 45, then you multiply it by 2 because it is the exact same on the other sides. then when you do that you get 90 ft. I hope this helps you! peace out.

Answer:

7

Step-by-step explanation:

-6 + 13

7

-*-=+

Answer:

-27 minus 12 = -39 if that's what you're asking.

Step-by-step explanation:

Answer:

If f(x) = x2 – 5 for all values x and f(a) = 4, what is one possible value of a? Possible Answers: ... If f(x) = x2 + 5x and g(x) = 2, what is f(g(4))?. Possible ... (1/3) * (27 + 15 – 15). (1/3) * (27)

Answer:

How to Make Money Without a Job:

Answer:

99

Step-by-step explanation:

Since the question is or, we only need to answer one. For q, there is of course no answer that will not end the division in decimals. So lets move on to p. The only number that is greater than 20 is 99. Also, 99 is divisible by 5, it will just end in decimals. So the answer is 99.

Answer:

C

Step-by-step explanation:

3 7/12 - 1 1/6

1. Change 1 1/6 into the same denominator as 3 7/12.

3 7/12 - 1 2/12

2. Subtract whole numbers.

3 - 1 = 2

3. Subtract the fractions.

7/12 - 2/12 = 5/12

4. Answer is 2 5/12 (C).

hope this helps :)

Answer:

f(5) = 22

Step-by-step explanation:

Plug in 5 as x into the function:

f(x) = 5x - 3

f(5) = 5(5) - 3

f(5) = 25 - 3

f(5) = 22

Answer:

(1,3)

Step-by-step explanation:

Only point that lies in the blue area.

Answer:

(1,3)

Step-by-step explanation:

the solution must be in the shaded area and it is the only option within the shaded area

Answer:

-50.4

Step-by-step explanation:

Answer:

1        I         3

8       I         24

6       I         18

3       I         9

Step-by-step explanation:

Step-by-step explanation:

the first one is 1 apple , 3 strawberries

the second is 8 apples, 24 strawberries

the third one is  5 apples, 15 strawberries

and the last one is 3 apples, and 9 strawberries

I'm sorry if I'm wrong I'm not good at math :( but i hope it helps :D

The formula for density is d = m/v.

d = density

m = mass

v = volume

The volume of the rock is 15 cubic centimeters.

The mass of the rock is 45 grams.

Now just plug these into the formula and solve.

d = 45/15.

45/15 = 3.

The density of the rock is 3 grams per cubic centimeters.

Mass of the rock = 45 g

Volume of the rock = 15 cubic cm

Density = Mass / Volume

By putting the respected values, we get

Density = 45 g / 15 cubic cm = 3 gram/cubic centimeter

Density of the rock is 3 gram/cubic centimeter.

Answer:

x = 4

Step-by-step explanation:

We are asked to find the value of x when [tex] \frac{7}{2} [/tex].

Note that [tex] f(x) [/tex] is also y.

What this means is, what is the value of x when y = 7/2 = 3.5.

On the graph given, trace where y = 3.5. check the x-value that corresponds with it on the point on the line.

Thus, at y = 3.5, x = 4.

Therefore,

x = 4, when [tex] \frac{7}{2} [/tex].

Answer:

I would love to help but I cant speak spanish.

Maybe try posting this again just in english then I will answer!

Answer:

Because He is your grandmothers only child

Step-by-step explanation:

which makes him your Cousin I think.

Answer:

=================================

Let the number of $15 tickets is x and numbers of $20 tickets is y.

Set the system according to given information:

Solve by elimination, multiply the first equation by 20 and subtract the second equation:

Find y:

The total number of tickets sold for the concert is 179.

Unitary method is a mathematical way of obtaining a single unit then deriving the required units by multiplying it with the single unit.

According to the given question The high school choir hosts a concert for the community.

Tickets are sold for this concert by members of the choir and at the door before concert.

Also given that 125 tickets are sold at the door and each member of the choir sell 3 tickets each and they were 18.

∴ The no. of tickets members of the choir sold is

= (18×3) = 54 tickets.

So, the total number of tickets sold for the concert is (125+54) = 179.

learn more about unitary method here :

https://brainly.com/question/28276953

#SPJ1

Answer:(a) x - 0.7 = 1.5

Step-by-step explanation:

Determine whether each of the following is a solution of x − 0.7 = 1.5: (a) x = 1 (b) x = −0.8 (c) x = 2. Step 1. Substitute the number for the variable in the equation.

Step 2. Simplify the expressions on both sides of the equation.

Step 3. Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

Answer:

50

Step-by-step explanation:

150 divided by 3 =50

because 50 ×3 =150

Answer: Y=2x-13 Y=2x-13

Step-by-step explanation:

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

Learn more about the exponential growth here,

https://brainly.com/question/11487261

#SPJ2

Answer:

[tex]t = 15.7[/tex]

Step-by-step explanation:

Given

[tex]Principal = 25000[/tex] --- P

[tex]Amount = 75000[/tex] --- A

[tex]Rate = 7\%[/tex] --- R

Required

Determine the time (t)

Using continuous growth formula:

We have

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

Convert rate to decimal

[tex]Rate = 7\%[/tex]

[tex]r = 0.07[/tex]

Substitute values for A, P and r

[tex]75000 = 25000 * e^{0.07t}[/tex]

Divide both sides by 25000

[tex]3 = e^{0.07t}[/tex]

Rewrite the exponential function as logarithmic, we have:

[tex]ln3 = 0.07t[/tex]

Reorder

[tex]0.07t = ln3[/tex]

Divide both sides by 0.07

[tex]t = \frac{ln3}{0.07}[/tex]

[tex]t = \frac{1.09861228867}{0.07}[/tex]

[tex]t = 15.69[/tex]

[tex]t = 15.7[/tex]

Hence, the time is approximately 15.7 years

Step-by-step explanation:−

x

2

−

4

x

−

1

=

0

Answer: theirs ^

Step-by-step explanation:

Answer:

umm im not sure if this is the answer but i believe it would be -$35

Step-by-step explanation: -7 x 5

Answer:

ratio- 1:6

integer- (any whole number)

unit rate- 1 per minute

Step-by-step explanation:

if you need sentence examples:

there are 70 pies. 10 of them are cherry and 60 of them are apple. what is the ratio of cherry to apple pies? answer- 1:6

integer is any whole number so you can use 1, 2 , 3 , etc.

a girl has been reading for 30 minutes. so far she has read 30 pages. what is her pace as a unit rate? (unit rates are any number over 1 so it would be 1/1)

The value of x from the equation is  2√2

Linear equations are equations with one or two variables.

It is also important to note that the highest power of variable is 1

Given the equation;

yx² = 8y

Let's make 'x' the subject of the equation

Divide both sides by y, we have;

yx²/y = 8y/ y

x² = 8

Take the square root of both sides

(√x²) = √8

The square root takes the square, we have

x = √8

x = √4 × 2

x = 2√2

Thus, the value of x from the equation is  2√2

Learn more about linear equations here:

https://brainly.com/question/14323743

#SPJ1

There are 48 minnows in the aquarium and there are 18 clownfish in aquarium

Given that in an aquarium ratio of minnows and clown fish is 8:3 and the ratio of clownfish and goldfish are in ratio 6:11 and there are 33 gold fishes in the aquarium.

⇒[tex]\frac{6}{11} =\frac{x}{33}[/tex] ( Here x is the number of clownfish)

⇒x=6×3

⇒x=18

Therefore, The number of clownfish in the aquarium is 18

Now,[tex]\frac{8}{3} =\frac{y}{18}[/tex](Here, y is the number of minnows in an aquarium)

⇒y=8×6

⇒y=48

Therefore, The number of minnows in the aquarium is 48

Therefore,The number of minnows in the aquarium is 48 and The number of clownfish in the aquarium is 18

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ9