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1 year ago

#3 Determine the constant of proportionality of the graph 4

Mathematics

1 answer:

miss Akunina [59]1 year ago

6 0

Explanation

Step 1

choose two points from the line

$\begin{gathered} P1(0,0) \\ \text{and} \\ P2(2,40) \end{gathered}$

Step 2

the constant of proportionality is given by

$\begin{gathered} C=\frac{f(b)-f(a)}{b-a} \\ C=\frac{y_{p2}-y_{p1}}{x_{p2}-x_{p1}} \\ \text{replace} \\ C=\frac{40-0}{2-0} \\ C=\frac{40}{2} \\ C=20 \end{gathered}$

so, the answer is 20

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boyakko [2]

Answer:

$(x,y) =(-4,-3)$ --- Vertex

$x = -4$ --- Axis of symmetry

Step-by-step explanation:

Given

$y = -6(x + 4)^2 - 3$

Solving (a): The vertex

For an equation written in

$y = a(x - h)^2 + k$

The vertex is:

$(x,y) = (h,k)$

By comparison:

$y = a(x - h)^2 + k$ and $y = -6(x + 4)^2 - 3$

$-h =4$ $k = -3$

$h =-4$ $k = -3$

So, the vertex is:

$(x,y) =(-4,-3)$

Solving (b): The axis of symmetry

For an equation written in

$y = a(x - h)^2 + k$

The axis of symmetry is:

x = h

In (a):

$h =-4$

So:

$x = -4$

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Answer:

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Step-by-step explanation:

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3 years ago

Jen picked 3/4 of a gallon of strawberries in a half an hour.If she keeps picking strawberries at the same rate, how many gallon

sp2606 [1]

Answer:

3 gallons.

Step-by-step explanation:

We have been given that Jen picked 3/4 of a gallon of strawberries in a half an hour.

Let us convert our given time in minutes.

1 hour= 60 minutes.

1/2 hour= 30 minutes.

So 2 hours= 120 minutes.

Let us find the number of gallons of strawberries picked by Jen in 30 minutes by dividing 3/4 by 30.

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{\frac{3}{4} }{30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{3}{4*30}$

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=\frac{1}{40}$

Now let us multiply 1/40 by 120 to find the number of gallons of strawberries picked by Jen in 120 minutes(2 hours).

$\text{The number of gallons of strawberries picked by Jen in 30 minutes}=120*\frac{1}{40}$

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3 years ago

What is the solution of 2m=-6n-5 when n=1,2,3

Travka [436]

Answer:

Step-by-step explanation:

Simplifying

2m + -6n + 5n + 3m = 0

Reorder the terms:

2m + 3m + -6n + 5n = 0

Combine like terms: 2m + 3m = 5m

5m + -6n + 5n = 0

Combine like terms: -6n + 5n = -1n

5m + -1n = 0

Solving

5m + -1n = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add 'n' to each side of the equation.

5m + -1n + n = 0 + n

Combine like terms: -1n + n = 0

5m + 0 = 0 + n

5m = 0 + n

Remove the zero:

5m = n

Divide each side by '5'.

m = 0.2n

Simplifying

m = 0.2n

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