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polet [3.4K]
3 years ago
7

Solve the system by substitution y=2x-9, y=-2x+15

Mathematics
2 answers:
kirill [66]3 years ago
5 0

Answer:

6, 3

Step-by-step explanation:

Debora [2.8K]3 years ago
3 0

Answer:

This system has no solutions

Step-by-step explanation:

y=2x-9,

y=-2x+15

by substitution:

2x - 9 = 2x + 15

2x - 2x = 15 + 9

0 ≠ 24

This system has no solutions

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Adam got the sum of his grades right, but he divided that correct figure by 6, getting 84 Before that division, the sum of his grades must have been 84 * 6, or 504. He should have divided 504 by 7, getting 72. Answer: His correct average test score is 72.

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3 years ago
Solve F(x) for the given domain.<br>F(x) = x² + 3x - 2<br>F(3)=____<br>a. 13<br>b. 16<br>C. 40​
Llana [10]

Answer:

B. 16

Step-by-step explanation:

F(3) means we must plug the number "3" into the equation for each x.

(3)^2 + 3(3) -2

9 + 9 - 2

16

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3 years ago
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Ally is making a fruit punch using 48 ounces of grape juice and some seltzer water. She wants to make 10 equal servings that are
yaroslaw [1]
She should add 48 ounces of of seltzer water because it will allow at least 10 servings. 32 ounces would only be enough to make 8.88 servings
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function travelSpeed = CalculateTravelSpeed(startX, startY, endX, endY, travelTime) % startX, startY: Starting coordinates % end
Ilia_Sergeevich [38]

Answer:

The functions in Python is as follows:

from math import *

def CalculateTravelSpeed(startX,startY,endX,endY,travelTime):

   travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime

   return travelSpeed

def EuclideanDist(startX, startY, endX, endY):

   dist = sqrt((startX - endX)**2 + (startY - endY)**2)

   return dist

Step-by-step explanation:

from math import *

This defines the CalculateTravelSpeed function

def CalculateTravelSpeed(startX,startY,endX,endY,travelTime):

This calls the EuclideanDist function to calculate the distance; Next, the speed is calculated

   travelSpeed = EuclideanDist(startX, startY, endX, endY) / travelTime

This returns the calculated speed

   return travelSpeed

This defines the EuclideanDist function

def EuclideanDist(startX, startY, endX, endY):

This calculates the distance from the given coordinates

   dist = sqrt((startX - endX)**2 + (startY - endY)**2)

This returns the calculated distance

   return dist

5 0
3 years ago
Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Wha
LuckyWell [14K]

Answer:

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

Step-by-step explanation:

Let be x and y the amounts of nickels and dimes that Carrie and Joan have, as c the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.

The following equations are constructed after a careful reading on statement:

Carrie's amount of money:

0.05\cdot x = c (Eq. 1)

Joan's amount of money:

0.10\cdot y = c (Eq. 2)

Relation between amounts of coins:

x = y+40 (Eq. 3)

First we eliminate c by equalizing (Eq. 1) and (Eq. 2):

0.05\cdot x = 0.10\cdot y

Then, we reduce the resulting formula by (Eq. 3):

0.05\cdot (y+40) = 0.10\cdot y

y+40 = 2\cdot y

y = 40

And rest of variable are now determined:

x = 40+40

x = 80

c = 0.05\cdot (80)

c  = 4

Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.

5 0
3 years ago
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