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Luda [366]
3 years ago
9

Ill give you stars, thanks, and most brilliant!

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0
Extremely sorry for this late answer
A = 4 (25 * 25 = 625, 5^4 = 625)
B = 3 (3125 / 25 = 125, 5^3 = 125)
C = 0 because 5(^0) = 1 always
D = ? sorry can't help
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Find a and k so that the given points lie on the parabola (An algebraic solution is required)
Aleks [24]

For the given points to lie on the parabola,

a = -3 and k = 10.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).

According to the question,

Equation of parabola : y = a(x-2)^{2} + k

Points A(1,7) and B(4,-2)

For the points to lie on the parabola,

7 = a(1-2)^{2}+k

7 = a + k

Similarly,

-2 = a(4-2)^{2} + k

-2 = 4a + k

On solving the two equations simultaneously, we get,

a = -3

k = 10

Learn more about parabolas here:

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4 0
2 years ago
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vampirchik [111]

Step-by-step explanation:

..........

5 0
2 years ago
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I HAVE A MATH TEST PLZ HELP I'M GIVING OUT 50 POINTS PLZ<br><br> S.O.S I HAVE MATH
Nady [450]

Answer:

<em>Graph included as picture</em>

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1

\frac{3-(-1)}{3-1} = \frac{4}{2} = 2

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

<em>[If you connected all the points in your graph, that's how you found the y-intercept]</em>

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

4 0
2 years ago
You are a member of the fund-raiing committee for your chool. The committee i ponoring a fair. Each member of the committee ha a
Molodets [167]

The expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250 and the total amount that can be raised is $194.

What is total revenue?

Total revenue is the amount of money earned by a company from the sale of its goods and services. In other words, businesses use this metric to determine how well their core revenue-generating operations are performing. Total revenue is directly related to marginal revenue.

Number of tickets that will be sold = 50

Number of student tickets that will be sold = t

Number of adult tickets that will be sold = 50 - t

The total amount of money that can be raised from selling 50 tickets is the sum of the total amount raised from selling student tickets and adult tickets.

Total revenue = total amount raised from selling students tickets + total amount raised from selling adults tickets

Total revenue = [3 x t] + [(50 -t) x $5]

Total revenue = $3t + $250 - 5t

Total revenue = -2t + 250

Total revenue = -2(28) + 250

Total revenue = -56 + 250 = $194

Hence, the expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250, and the total amount that can be raised is $194.

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8 0
1 year ago
Y=mx+b (-6,-3) and (0,9)
Leno4ka [110]

Answer:

y = 2x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 6, - 3) and (x₂, y₂ ) = (0, 9)

m = \frac{9+3}{0+6} = \frac{12}{6} = 2

The line crosses the y- axis at (0, 9) ⇒ b = 9

y = 2x + 9 ← equation of line

3 0
3 years ago
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