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BigorU [14]
3 years ago
6

x + 3y = 7 x - 3y = 1 Solve the system of equations. A) x = 4, y = 1 B) x = 1, y = 4 C) x = - 2 3 , y = 3 Eliminate D) x = 3, y

= - 2 3
Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0

Answer:

x=4, y=1

Step-by-step explanation:

x + 3y = 7

x - 3y = 1

Add the equations together to eliminate y

x + 3y = 7

x - 3y = 1

---------------------

2x = 8

Divide by 2

2x/2 = 8/2

x = 4

Subtract the two equations to eliminate x

x + 3y = 7

-x + 3y = -1

----------------------

   6y = 6

Divide by 6

6y/6 = 6/6

y =1

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Lisa is measuring the depth of a well. She drops a ball from a height of h feet into the well and measures how long it takes the
Crazy boy [7]

Lisa is measuring the depth of a well. She drops a ball from a height of h feet into the well and measures how long it takes the ball to hit the bottom of the well.

Polynomial = -16t^{2}+ 0t + h

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Now find depth of the well, when t = 3.5 seconds and h = 6 ft

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4 years ago
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The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each ad
Charra [1.4K]

The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and  C(x) = 1200 + 14.75(x - 40), where x > 40

<h3>Write a piecewise function describing the cost C of the reunion.</h3>

The given parameters are:

Reserve = $500

Cost per guest = $17.50 for the first 40 guests

Cost per guest = $14.75 for each additional guest

The above means that

C(x) = 500 + 17.5x, where x <= 40

C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40

Next, we evaluate the functions

This gives

C(x) = 500 + 17.5x, where x <= 40

C(x) = 1200 + 14.75(x - 40), where x > 40

<h3>Use a graphing calculator to graph the function</h3>

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3 0
2 years ago
two friends went to a restaurant and ordered one plain pizza and two sodas. their bill totaled $15.95. later that day, five frie
oksano4ka [1.4K]
X= cost per pizza
y= cost per soda


1ST VISIT TO RESTAURANT
x + 2y= $15.95

2ND VISIT TO RESTAURANT
3x + 5y= $45.90


STEP 1
multiply equation from 1st visit by -3. Will be able to solve by elimination method in step 2.

-3(x + 2y)= -3(15.95)
multiply -3 by each term

(-3 * x) + (-3 * 2y)= (-3 * 15.95)

-3x - 6y= -47.85


STEP 2
add 2nd visit equation to new 1st
visit equation in step 1.

3x + 5y= 45.90
-3x - 6y= -47.85
x term will cancel out; solve for y

-y= -1.95
divide both sides by -1

y= $1.95 per soda


STEP 3
substitute y value in either original equation to solve for x

x + 2y= $15.95

x + (2 * 1.95)= 15.95
multiple in parentheses

x + 3.90= 15.95
subtract 3.90 from both sides

x= $12.05 per pizza


CHECK
3x + 5y= $45.90
3(12.05) + 5(1.95)= 45.90
36.15 + 9.75= 45.90
45.90= 45.90


ANSWER: Each pizza costs $12.05 and each soda costs $1.95.

Hope this helps! :)
4 0
3 years ago
Can i have some help
Nuetrik [128]
A. A> 8.3
Hope that helped
3 0
3 years ago
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