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Aleonysh [2.5K]
3 years ago
12

Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0

The first equation is

3x-y=-3

The second equation is

x+y=11

If you sum the two equations you'll cancel y:

4x=8 \iff x=2

And since the sum must be 11, we have y=9.

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Which property states that for all real numbers, x, y and z, if x = y and y = z, then x = z ?
Leto [7]

Answer:

The transitive property of equality

Step-by-step explanation:

The transitive property states if a=b and b=c then a=c. If two things are equal and one of those two things is equal to another thing, then they all must be equal.


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Four gallons of gasoline cost $16.80. What is the price per gallon (also known as the slope of the line)?
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$16.80 / 4 gallons = $4.20 per gallon

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3 years ago
Which number lines have points that represent additive inverses? Check all that apply.
jeka94
<h3>2 Answers: B and D</h3>

===================================================

Explanation:

Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0

Choice D is a similar story. We have -5+5 = 0

In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.

8 0
3 years ago
Read 2 more answers
Write an algebraic expression for each word expression. Then evaluate the expression for these values of the variable : 1/2,4,an
Yuki888 [10]

Answer:

1)p/4,2,1,1.625   2)x+1,3/2,5,7.5

Step-by-step explanation:

1) p/4

1/2 divided by 4=2

4/4=1

6.5/4=1.625

2) x+1

1/2+1=3/2

4+1=5

6.5+1=7.5


7 0
3 years ago
Find the global maximum and global minimum values (if they exist) of x 2 + y 2 in the region x + y = 1. If there is no global ma
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Given that x+y=1, we have y=1-x, so that

f(x,y)=x^2+y^2\iff g(x)=x^2+(1-x)^2

Take the derivative and find the critical points of g:

g'(x)=2x-2(1-x)=4x-2=0\implies x=\dfrac12

Take the second derivative and evaluate it at the critical point:

g''(x)=4>0

Since g'' is positive for all x, the critical point is a minimum.

At the critical point, we get the minimum value g\left(\frac12\right)=f\left(\frac12,\frac12\right)=\frac12.

5 0
3 years ago
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