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ipn [44]
3 years ago
15

What is the solution to the system of equations below? y=-3x-9 and y=1/3x-39

Mathematics
1 answer:
dexar [7]3 years ago
3 0
To remove fractions, multiply equations by their respective LCD
Multiply equation [2]by 3
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Can someone please tell me how to do this ):
Arada [10]

Answer:

Look at Description

Step-by-step explanation:

Start at the point (0,-4) because the equation has -4 at the end. Then take the slope which is 1/4 you're gonna count up 1 then right 4. the next point will be (-3,4) and so on

5 0
3 years ago
A golf ball is hit with an initial velocity of 100 feet per second. The height of the golf ball can be represented by the equati
LenaWriter [7]

Answer:

  • 6.25 seconds

Step-by-step explanation:

<u>Using the the equation </u>

  • h = 100t − 16t^2

<u>The ball hits the ground, when h = 0, solving below equation:</u>

  • 100t − 16t^2 = 0
  • 4t(25 - 4t) = 0
  • t = 0 seconds, this is the starting point when ball was hit
  • 25 - 4t = 0 ⇒ 4t = 25 ⇒ t= 25/4 = 6.25 seconds later the ball hits the ground
5 0
3 years ago
Read 2 more answers
Solve the system.
ad-work [718]

Answer:

Step-by-step explanation:

y = \dfrac{1}{2}*(x - 3)^{2}\\\\\\2y = (x-3)^{2}\\\\\\2y = x^{2}-2*x*3 + 3^{2}\\\\\\2y = x^{2} - 6x + 9  \ --------------(I)

y = -x + 7  -------------(II)

Plugin y = -x + 7 in equation (I)

2(-x + 7) =x² - 6x + 9

-2x + 14 =x ² - 6x + 9

x² - 6x + 9 = -2x + 14

x² - 6x  + 9 + 2x - 14 = 0

x² - 4x  - 5 = 0

x² -5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x -5)(x + 1) = 0

x- 5 = 0 ;   x + 1 = 0

x = 5      ; x = -1

When x = 5  ⇒ y = -5 + 7 = 2

When x = -1 ⇒ y = -(-1) + 7 = 1 + 7 = 8

Solution (5 , 2) & (-1 , 8)

5 0
3 years ago
Read 2 more answers
Find the common difference of the arithmetic sequence 14,7,0 ....
ziro4ka [17]

Answer:

Step-by-step explanation:

the formula for common difference is

d = aₙ - aₙ₋₁

So,

d = a₂-a₁ = a₃-a₂

d =7-14 & d=0-7

d = -7    & d = -7

8 0
3 years ago
3.
mestny [16]

There are 1250 skiers and 2500 snowboarders bought season passes.

<h3>What is substitution method:</h3>

The substitution technique is a mathematical approach for solving simultaneous linear equations. The value of one variable with one equation is substituted in the second equation, as the name implies.

<h3>According to the given information:</h3>

The ratio of 1:2 indicates that there is one skier for every two snowboarders.

Let S stand in for the skier.

B should symbolize the snowboarder.

This condition is equivalent to = 1:2 = S:B.

Alternatively, 2S = B.

B - S = 1250

2S - S = 1250

Applying substitution method.

s = 1250

B = 2S = 2(1250) = 2500

B = 2500

There are 1250 skiers and 2500 snowboarders.

To know more about substitution method visit:

brainly.com/question/14619835

#SPJ9

I understand that the question you are looking is:

The Speedy Fast Ski Resort has started to keep track of the number of skiers and snowboarders who bought season passes. The Ratio of the number of skiers who bought season passes is 1:2.If 1,250 more snowboarders bought season passes than skiers, how many skiers bought season passes?

6 0
1 year ago
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