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Leokris [45]
3 years ago
15

At the circus, 3 adult tickets and 4 child tickets cost $47, and 6 adult tickets and 2 child tickets cost $64. Which system of l

inear equations below can be used to determine the price of each ticket? Let x represent the cost of an adult ticket and y represent the cost of a child ticket. A. B. C. D.
Mathematics
1 answer:
Artemon [7]3 years ago
8 0

Answer:

The adult tickets cost $9 each. The child tickets cost $5 each.

X = $9 and Y = $5

Step-by-step explanation:

$9 x 6 = $54

$5 x 2 = $10

Add them and you get $64.

For the first one, do the same.

$9 x 3 = $27

$5 x 4 = $20

Add them and you get $47

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adoni [48]

Answer:

it will be on platform 9 3/4

Step-by-step explanation:

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3 years ago
What transformations to the linear parent function, f(x) = x, give the function
77julia77 [94]

Answer:

A. Shift down 2 units.

B. Vertically stretch by a factor of 4.

Step-by-step explanation:

Given the function

f(x)=x

If we stretch y vertically by a factor of m, we have: y=m·f (x)

Therefore:

Vertically stretching f(x) by a factor of 4, we have: 4x.

Next, if we take down f(x) by k units we have: y= f(x)-k

Therefore: Taking down 4x by 2 units, we obtain:

g(x)=4x-2

Therefore, Options A and B applies.

7 0
3 years ago
Rebecca supplies costumes to a number of theater companies and recently lent out a number of different hats. turbans 6 berets 3
barxatty [35]

Answer:

3/7

Step-by-step explanation:

Probability a turban is lent = total number of turbans  lent / total number of hats lent

total number of hats lent = 6 + 3 + 3 + 2 = 14

6/14

To transform to the simplest form. divide both the numerator and the denominator by 2= 3/7

7 0
3 years ago
(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
3 years ago
Please help the question and answer choices are in the picture.
mamaluj [8]

Answer:

B) 20

Step-by-step explanation:

2808 lb. / 140 lb. ≈ 20

6 0
3 years ago
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