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Norma-Jean [14]
3 years ago
11

PPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZ

Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
Easiest way is if you substitute each point (x,y) into each set of equations and both points work for both equations in the system of equations, then it is the correct answer

Otherwise substitute one equation for y in the other equation:
2x + 6 = x^2 + 5x + 6
-2x - 6. -2x -6
0 = x^2 + 3x. Factor
0 = x (x + 3)
Solve: x = 0. x + 3 = 0. ——> x = -3. Substitute into one original equation to get y value for
y = 2x + 6.
y = 2(0) + 6. y = 2(-3) + 6
y = 6. y = -6 + 6 —-> y = 0
(0 , 6) And. (-3 , 0)

You might be interested in
The initial number of people that are sick with the flu is 36 and growing at a rate of 8% every day. How many people will be sic
Romashka [77]
This is an example of an exponential growth problem.

 The formula for this is : y = x(1+r)^t
y = final amount
x = starting amount = 36
r = rate = 8% = 0.08
t = time = 11 days

y = 36(1+0.08)^11

y = 36 (1.08)^11
y = 36*2.3316389
y = 83.94 = 84 people


4 0
3 years ago
Read 2 more answers
In the first four months of the year the Gerardos Electric bill were $115.46, $113.38, And $91.25. What was the Gerardos average
gizmo_the_mogwai [7]

Answer:80.02

Step-by-step explanation:

115.46+113.38+91.25= 320.09 /4 months = 80.02

4 0
3 years ago
Read 2 more answers
15 point question
Natalka [10]

Answer:

It will cost $12.5 per person to charter a bus for 36 passengers

Step-by-step explanation:

The cost per person c of chartering a tour bus  varies inversely as the number of passengers  n.

We can write:

c\:\alpha \:\frac{1}{n} \\c=\frac{k}{n}

where k is constant of proportionality

We are given when c = 22.50, n = 20

We need to find c when n = 36

First using c = 22.50, n = 20 we will find k, the constant of proportionality

c=\frac{k}{n}\\22.50=\frac{k}{20}\\k=22.50 \times 20\\k=450

So, we get k = 450

Now, we will find c when n = 36

c=\frac{k}{n}\\c=\frac{450}{36}\\c=12.5

So, we get the value of c: c = 12.5

Therefore, It will cost $12.5 per person to charter a bus for 36 passengers

8 0
3 years ago
If the circumference of a circle is x, then what is the area of the circle in terms of x?
grandymaker [24]

Answer:

x^2 / 4pi

Step-by-step explanation:

The area of a circle is (pi x r)^2

The circumference of a circle is 2pi x r

The find the radius, you need to divide x by 2pi, so x / 2pi

Then just plug it in as the radius:

(pi x (x / 2pi))^2 = x^2 / 4pi

7 0
3 years ago
Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to cir
sergij07 [2.7K]

Answer:

Two shapes are similar when they have the same shape while their sizes may be the same or different

Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor

All circles have the same shape and are defined by their center and radius

Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;

r × a = s

Where a = s/r, we get;

r × s/r = s

We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a

Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'

Step-by-step explanation:

4 0
2 years ago
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