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Vsevolod [243]
3 years ago
8

I do not understand this im lost

Mathematics
2 answers:
mote1985 [20]3 years ago
7 0
In such type of questions, all that you are supposed to do is, use basic mathematics to eliminate any one of the given two variables. Check out the equations if in case you can multiply any of the given ones with a -1 and add the two equations,eliminating one of the variables.
tester [92]3 years ago
4 0
2x-3y=9
-5x-3y=30
Multiply the first equation by negative one to cancel out the Ys
-2x+3y=-9
-5x-3y=30
Add the equations
-7x=21
X=-3 plug in X in one of the original equations

2(-3) -3y=9
-6-3y=9
-3y=15
Y=-5
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3 years ago
Find the values of y = c(x) = for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729, and 1.
kondaur [170]

c(x) is a function, then we will solve the problem for two different functions.

1. If c(x)=\frac{x}{0.5}+x

Then

y=c(x)

y=\frac{x}{0.5}+x

Using each of the values for x we have.

When x=0 the result is:   y=\frac{0}{0.5}+0=0

When x=0.008 the result is: y=\frac{0.008}{0.5}+0.008=0.016+0.008=0.024

When x=0.027 the result is: y=\frac{0.027}{0.5}+0.027=0.054+0.027=0.081

When x=0.064 the result is: y=\frac{0.064}{0.5}+0.064=0.128+0.064=0.192

When x=0.125 the result is: y=\frac{0.125}{0.5}+0.125=0.25+0.125=0.375

When x=0.216 the result is: y=\frac{0.216}{0.5}+0.216=0.432+0.216=0.648

When x=0.343 the result is: y=\frac{0.343}{0.5}+0.343=0.686+0.343=1.029

When x=0.512 the result is: y=\frac{0.512}{0.5}+0.512=1.024+0.512=1.536

When x=0.729 the result is: y=\frac{0.729}{0.5}+0.729=1.458+0.729=2.187

When x=1 the result is: y=\frac{1}{0.5}+1=2+1=3

2. If c(x)=sin(x)+2x

Then

y=c(x)

y=sin(x)+2x

Using each of the values for x we have.

When x=0 the result is:   y=sin(0)+2(0)=0

When x=0.008 the result is: y=sin(0.008)+2(0.008)=0.000139+0.016=0.016139

When x=0.027 the result is: y=sin(0.027)+2(0.027)=0.000471+0.054=0.054471

When x=0.064 the result is: y=sin(0.064)+2(0.064)=0.001117+0.128=0.129117

When x=0.125 the result is: y=sin(0.125)+2(0.125)=0.002182+0.25=0.252182

When x=0.216 the result is: y=sin(0.216)+2(0.216)=0.003769+0.432=0.435769

When x=0.343 the result is: y=sin(0.343)+2(0.343)=0.005986+0.686=0.691986

When x=0.512 the result is: y=sin(0.512)+2(0.512)=0.008936+1.024=1.032936

When x=0.729 the result is: y=sin(0.729)+2(0.729)=0.012723+1.458=1.470723

When x=1 the result is: y=sin(1)+2(1)=0.017452+2=2.017452

7 0
3 years ago
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3 years ago
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X + y = 152,<br><br> 8.5x + 12y = 1,656<br><br> How many hats were sold?
Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

x+y = 152\\8.5x+12y=1656

From equation 1:

x = 152-y

Putting the value of y in equation 2

8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0
3 years ago
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