Consider these functions:
f(x) = -1/2x^2 + 5xf(x) = -1/2^2 + 5x
g(x) = x^2 + 2g(x)= x^2 + 2
What is the value of f(g(-2))?

Answer:

[tex] \sf k = 1 \\\\ \sf y = x [/tex]

Step-by-step explanation:

A graph between the amount of time that backpacker hikes to the distance travelled is given .

According to the Question ,

[tex]\sf \implies y \propto x \\\\\sf \implies y = kx [/tex]

[tex]\sf\implies 5 = k(5) \\\\\sf \implies k =\dfrac{5}{5}\\\\\sf \implies \boxed{\frak{\pink{ k = 1 }}}[/tex]

Again the constant of proportionality is the slope of the line.

[tex]\sf\implies y = mx + c \\\\\sf \implies y = 1(x) + 0 \\\\\sf \implies \boxed{\pink{\frak{ y = x }}}[/tex]

Answer:

Yes, these create an isosceles triangle, where two sides are equivalent

Answer:

27

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

you divided everything in blankets 3 /-3 is equal to zero

Answer:

Step-by-step explanation:

2 values

x^2-1=0

x^2=1

x=±1

thes are the two values for which the function is discontinuous.

Answer:

60

Step-by-step explanation:

So 36 divided by 3 is 12, and which then, we know that Rashed made 12 free throws in 1 minute, and then when we multiply by 5, we can know the free throws he will make in 5 minutes.

Answer: angle l

Step-by-step explanation:

Answer:

Let P(t) = population t years after 2010

           = 45230e0.02t

Population in 2030 = P(20)

                           = 45230e0.4≈ 6747

Step-by-step explanation:

A=½h(a+b)

h(a+b)=2A

h=2A/(a+b).

hope this helps you.

Answer:

52 units^2

Step-by-step explanation:

The area of the dresser is simple. It is just a rectangle that is 4 units by 3 units.

A_dresser = LW = 4(3) = 12 units^2

The area of the bed is a little more complicated, but you can get by using just areas of rectangles.

See the picture below.

Notice that the entire bed fits within a square (shown in blue) that is 9 units by 9 units.

The area of the square is 81 units^2.

We need to subtract the areas of the 4 triangles at the corners.

There are two triangles, top left and bottom right (shown in green), that have a base of 5 and a height of 5. They combine to for a square that is 5 units by 5 units. The area of this square is 25 units^2.

There are two triangles, top right and bottom left (shown in red), that have a base of 4 and a height of 4. They combine to for a square that is 4 units by 4 units. The area of this square is 16 units^2.

Now subtract 25 and 16 from 81 to get the area of the bed.

81 - 25 - 16 = 40

A_bed = 40 units^2

Combined area of bed and dresser:

A = 40 units^2 + 12 units^2 = 52 units^2

Answer: 52 units^2

Here's another way of finding the area of the bed:

Count the number of full squares inside the bed (there are 31). Each full square is 1 unit^2. Then count the number of half-squares inside the bed (there are 18). Each half-square is 1/2 units^2. Add them all up:

31 + 1/2 * 18 = 31 + 9 = 40

You get 40 units^2

Answer:

2/3

Step-by-step explanation:

Answer: 2/3

Step-by-step explanation:

i took the k12 test

sorry if its wrong but i think its right at least it was for me

Answer:

4 and 5

Step-by-step explanation:

If you mean what [tex]\sqrt{22}[/tex] falls into, you would get something in between 4 and 5.

We can solve this by first finding a square root that is higher than that, which is [tex]\sqrt{25}[/tex] and [tex]\sqrt{16}[/tex].

If we go by that [tex]\sqrt{22}[/tex] falls in between 4² and 5².

Cheers!

Answer:

8= 8 Billion,2 = 2 Hundred Million,  3 = 30 Million , 6 = 6 Million , 0 =Hundred Thousands , 1 = 10 Thousand , 4 = 4 Thousand , 5 = 5 Hundreds , 9= 9 Tens, and  7 = 7 Ones

Step-by-step explanation:

Answer:

the set of all possible outputs for a function is the range

Answer:

LN = 37

Step-by-step explanation:

The Segment Addition Postulate tells us that LM+MN = LN

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

Answer:

Assuming you mean 7 divided by 9/7, the answer would be 5 4/9. If you can clarify your question though if I'm wrong, I'd love to redo the problem and get you the right answer! ^-^

Step-by-step explanation:

[tex]x = - \frac{2}{5} \\ x = \frac{1}{2} \\ \\ \\ hope \: \: it \: \: helps \: \\ \\ see \: \: the \: \: attachment[/tex]

Answer:

[tex] - 3x(x - 3)^{2} [/tex]

Step-by-step explanation:

[tex] - 3x^{3} + 18x - 27x[/tex]

->

[tex] - 3x( {x}^{2} - 6x + 9)[/tex]

->

[tex] - 3x(x - 3)^{2} [/tex]

Answer:

44º

44º

136º

22º

Step-by-step explanation:

If you want i can explain in the comments.

Answer:

-32

Step-by-step explanation:

hope this helps you with the question

Answer:

117.96438

Step-by-step explanation:

6.478 x 18.21 = 117.96438

Answer: I believe it is 117.96

Step-by-step explanation:

6.478×18.21 = 117.96438 but there can only be two numbers after the decimal so you go to the third number after the decimal and round if it is lower than five the second number after the decimal stays the same if it is above five it will round the second number after the decimal up one in this case it will stay the same so the answer is 117.96

[tex] \frac{0.2x - 3.2}{5} = 1.8 \\ 0.2x - 3.2 = 1.8 \times 5 \\ 0.2x - 3.2 = 9 \\ 0.2x = 9 + 3.2 \\ 0.2x = 12.2 \\ x = \frac{12.2}{0.2} \\ \boxed{ x = 61}[/tex]

Answer:

I believe it should be (-7,-2)

Step-by-step explanation:

Answer:

smallest integer value of m=4

Step-by-step explanation:

Answer:

ITS A ITS A ITS A

ANSWER = A

Step-by-step explanation:

Answer:

Shift the graph of f(x)=bx f ( x ) = b x left c units if c is positive and right c units if c is negative. Shift the graph of f(x)=bx f ( x ) = b x up d units if d is positive and down d units if d is negative.