1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrew [12]
3 years ago
7

Why is 3 + (−5) equal to −2?

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer: since the 5 is a negative you are subtracting it from 3

so 3 +(-5) is actually 3-5. which = -2

Step-by-step explanation:

Hope this helps

You might be interested in
1. a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reve
bagirrra123 [75]
X=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:

x=2y
2(10y+x)=12+(10x+y)

We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4

x=2y
x=2(4)=8

The number is: 10y+x=10*4+8=48

Answer: the number is 48. 

b)
the number is: 10x+y
we can suggest this system of equations:

8(x+y)=(10x+y)+19
x=y-2

We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3

x=y-2
x=3-2=1

The number is: 10x+y=10*1+3=13

Answer:the number is 13.

c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:

y=2x
2(10x+y)=9+(10y+x)

We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3

y=2x
y=2*3=6

The number is: 10x+y=10*3+6=36

Answer: the number is 36
6 0
3 years ago
Write the rule for finding the coordinates of a point's 180 rotation about the origin
Charra [1.4K]
(x,y)-->(-x,-y)
The new coordinates would be (1,-7)
8 0
3 years ago
Can you help me with this​
katrin2010 [14]

Answer:

Baseball camp by $1.25

Step-by-step explanation:

75/4=18.75 100/5=20

20-18.75= 1.25

18.75 is a way better deal

3 0
3 years ago
find a number a such that the graphs of the two functions defined by the rules y = a^x and y = log a x have a common tangent lin
Nata [24]

Answer:

One value of a that will make both curves have the same common tangent line is a = e^{1/e} which is in decimals a = 1.44467, the tangent line happens at x = e.

Step-by-step explanation:

Since graphs of the two functions have the same tangent line, means that the slopes will be the same as well as the (x,y) point.  Thus we need to find the first derivative to determine the slope of the tangent line and set them equal together to solve for a.

Finding the slope of the tangent lines.

For the first function we have for its derivative

y = a^x \\ y' =a^x  \ln (a)\\

For the second function its derivative will be

y =\log_a (x) \\y'=\cfrac 1{x\ln(a)}

Thus we can set both derivatives equal to each other since we both should have the same slope of  the tangent line.

a^x \ln (a) =\cfrac 1{x\ln(a)}

This is our first equation the slope equation.

Setting system of equations

Using the given equations, we can set them equal to each other since we want the point (x,y) to be the same for both lines, so we get

a^x =\log_a (x)

We can write it in terms of the natural logarithms using change of base

a^x = \cfrac{\ln x}{\ln a}

Solving the system of equations

Replacing the second equation on the first one give us

\cfrac{\ln x}{\ln a}\ln (a) =\cfrac 1{x\ln(a)}

Simplifying.

\ln x =\cfrac 1{x\ln(a)}

Solving for a

\ln a =\cfrac 1{x\ln(x)}

Raising both sides to e^

a = e^{\cfrac{1}{x\ln x}}

Here we can pick any value of x except 1 to make both curves to make a tangent line, we can use arbitrarily x = e so we get

a = e^{\cfrac{1}{e\ln e}}\\a = e^{\cfrac{1}{e}}

Thus we can conclude that we have a common tangent line at x = e with the value a = 1.44467 or a = e^{\cfrac{1}{e}}.

8 0
3 years ago
Carmen listed the multiples of 24 as 1 , 2 , 3 , 4 , 6 ,8 , 12 , and 24 . Is she correct ? Explain why or why not .
Nimfa-mama [501]

Answer:

She is correct

Step-by-step explanation:

If u divide each one it come out with the correct answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • QS and TV are parallel lines
    11·1 answer
  • What does the law of definite proportions state
    11·1 answer
  • 6^-7 • 6^-4 • 6^11<br> A 6^105<br> B 1<br> C 630<br> D 216
    6·1 answer
  • The graph of function g(x) is transformation of the graph of function f(x)=x^2.
    7·1 answer
  • When it goes on sale for $1,600, Mikah buys a new plasma television that is valued at $1,800. He takes $300 from his savings acc
    13·1 answer
  • Barbara has a rectanglar shaped mouse pad the longest side of the mouse pad is 8 inches and the shortest side is 3 inches what i
    6·1 answer
  • Answer both if you can please or you can answer one, please help
    14·1 answer
  • Sam is five years old his brother Tom is three times as old as Sam when sam is 20 how old will Tom be?
    11·1 answer
  • Plz frist to answer will be brainliest​
    11·1 answer
  • Convert these improper fractions into mixed numbers.<br> 5/4
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!