4. Complete the following explanation to show that the sum of two rational numbers a
rational number.
Let a,b,c and d be integers. Let x and y be rational numbers. Consider the following
expression:
* = and y =
The above expressions represent the
If x + y = y + x
represents the
then, we can use the
to show that x +y = 3+. Using the rule for addition of
fractions to write an equivalent expression for x + y = 4+we obtain
The product of two integers results in an integer, so bd, ad and cb are all integers. Also.
since the sum of two integers results in an integer, ad + cb is an integer. Therefore,
xty is
7x-5y<-15 graph and shade
Answer:
Slope: 7/5
y intercept: (0,3)
Step-by-step explanation:
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
hey please help i’ll give brain
Answer:
First, the dropdown is 9. Second, put in 9. The answer is 81.
Step-by-step explanation:
10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.
Answer:
[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]
Help me pls ?? 1. Suppose there is a raffle with numbered tickets 1 - 150. One ticket is randomly
drawn from a hat. Find the following probabilities:
A. Drawing an even number
B. Drawing a number greater than 100
C. Drawing an even prime number
D. Drawing a negative number
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answer:19
Step-by-step explanation:
because if it added it becomes that
write the equation of a line in slope intercept form y=mx+b m=6, (0,5)
Answer:
m is the slope so plug in y=6x+b
and b is the y intercept so the equation is y=6x+5
Step-by-step explanation:
3/2 x -6
hahshdnndndndjd
Answer fast.
Which statement is not true?
A. All whole numbers and integers are
rational numbers.
B. All rational numbers can be written as a
fraction.
C. A whole number cannot be written as a
fraction.
D. All integers are whole numbers but not
all whole numbers are integers.
Answer:
C
Step-by-step explanation:
all whole numbers can be written as fractions that is over 1
Help me please thank you
Answer:
19, 25, 32
Step-by-step explanation:
Find the difference within each number:
5 -> 7: + 2
7 -> 10: + 3
10 -> 14: + 4
With each difference, + 1 is added so we can infer the next difference will be + 5.
14 + 5 = 19
Next is + 6.
19 + 6 = 25
Now + 7.
25 + 7 = 32
Carson buys eggs and lemons at the store.
He pays a total of $39.62.
He pays $6.74 for the eggs.
He buys 8 bags of lemons that each cost the same amount.
Which equation could be used to determine xx, how much each bag of lemons costs?
Answer:
8x = 39.62 - 6.74
Step-by-step explanation:
Cost of 1 bag of lemons = $ x
Cost of 8 bags of lemons = 8 *x = 8x
Cost of 8 bags of lemons = Total cost - cost of the eggs
8x = 39.62 - 6.74
Answer:
3.
Step-by-step explanation:
[tex]x + y = 39.62 \\ x = 6.74 \\ y = \frac{39.62 - 6.74}{8} [/tex]
A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90
Answer:
89.90 is the answerrrrrrrrrrr
Answer:
89.91
Step-by-step explanation:
You can do this with a calculator 99.90-10%
Is 0.62473 a member of the set? For each set of real numbers, select yes or no
?
Step-by-step explanation:
can't see the opinions
7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population
0 91
1 70
2 54
3 42
4 32
A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77
Answer:
All I can say is that it isn't linear, as the number would then be the same every year
Answer:
B. exponential; y= 91 * 0.77x
Step-by-step explanation:
The Answer is A.
y=91*0.77^x
I just substituted the x on all of them and only one got the corrct y which is A.
the expression x - 0.10 X gives the cost of an item that is discounted 10% write this expression in the other way
Answer:
Step-by-step explanation:
Take out a common factor (x)
x ( 1 - 0.10 )
Now do the subtraction
0.90x
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)
Five times the sum of a number and 7 is 8
Answer:
5(n+7) = 8
Step-by-step explanation:
this is the equation you are look for if its the value of n it would be -27/5
Answer:
Step-by-step explanation:
5(x + 7) = 8
x + 7 = 8/5
x = 8/5 - 7 = -27/5 = -5.4
What is the quotient of 4.653 x 107 and 7.05 x 103 expressed in scientific
notation?
I need help guys like rn please someone!!
Answer:
B
Step-by-step explanation:
The correct answer is B, because you have -4 +(-6)+(-2) which is really just
-4-6-2 which is -12. Think of it as getting rid of the plus sign and just leaving the negative sign. Which this would make the answer to the equation be -12, but for the answer of the question, it would be B because it is accumulating the drops in temperatures making the numbers go down in temperature, therefore making them negative.
A is not the answer because although it is similar to letter B, the difference is the final sentence, "What was the overall change in temperature?" Since -4 is listed as the pre-existing temperature, that would make -6 - 2 be equal to negative eight (-8).
C is not the answer because it includes a temperature rising by 18 degrees.
D is not the answer either because it is saying the temperature rose, which is shouldn't have risen.
The only time C and D could be right, is if they included bigger number that equaled out to negative twelve (-12), like saying the temperature rose 18 degrees, but fell by 26 degrees by midnight, that would make the equation look like -4 + 18 - 26 = - 12
Even in that case, C and D would be wrong immediately because of the use of numbers outside of the expression given.
Hope this helps!
AAAAAAAAAAHHHHHHHHHHHH
Answer:
[tex] \sqrt{45 {x}^{2} } + \sqrt{5 {x}^{2} } + 4x \sqrt{5} \\ = 3 \sqrt{5} x + \sqrt{5} x + 4x \sqrt{5} \\ = 8x \sqrt{5} \\ thank \: you[/tex]
Joe was driving on the highway a car ahead of him was driving far below the speed limit so he decided to pass. In the first second he gained(gained means to get nearer to something you are chasing) 5m on the car and as he accelerated he gained 1.5 times as much distance in each second as he had the second before. If there was 30 m between joe and the car he was passing then how long did it take him to pass
Answer:
537/100s.
Step-by-step explanation:
How do I solve this
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
In the expression "4f + s", the letter "s" is: *
Answer:
Step-by-step explanation:
A variable
(f×g) (x)
(4x+8)×(2x-12)
Answer:
[tex] = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)[/tex]
Answer:
\begin{gathered} = (4x + 8)(2x - 12) \\ = ( {8x}^{2} - 48x + 16x - 96) \\ = (8 {x}^{2} - 32x - 96) \\ = 8( {x}^{2} - 4x + 12)\end{gathered}
=(4x+8)(2x−12)
=(8x
2
−48x+16x−96)
=(8x
2
−32x−96)
=8(x
2
−4x+12)
Simplify: 2(a-4)+15=13
Answer:
a = 3
Step-by-step explanation:
2(a−4)+15=132
a−8+15=132
a=13−15+82
a=6
a=6/2
a=3
Which equation represents a line which is perpendicular to the line y =
= -x - 72
6x - 5y = 30
Oby - 52 = 18
Submit Answer
O 6x + 5y = 20
O 5x + 6y = 42
PLS HELP ASAP
Answer:
[tex]5x + 6y = 42[/tex]
Step-by-step explanation:
Hope it is helpful....
Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?
===========================================================
Explanation:
Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.
We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82
At the same time, Aziz spent $110 which means the 5x decreases to 5x-110
At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.
3x+82 = 5x-110
3x-5x = -110-82
-2x = -192
x = -192/(-2)
x = 96
Then use this x value to compute each expression like so
3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.
------------------
Extra info:
If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.
Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.
Find the value of x.
[tex]180^o-130^o=50^o\\\\90^o+50^o=140^o\\\\x=180^o-140^o\rightarrow\boxed{x=40^o}[/tex]
i really need to find out how to find a,b, and c in the quadratic formula can u please help ASAP will mark as BRAINLIEST!!
Answer:
Brainliest, please! (Answer below)
Step-by-step explanation:
The basic form for any quadratic function is:
ax^2 + bx + c.
The constant of the 1st term, the x^2 constant, is a, the constant of the second term, the x constant, is b, and the constant, the third term, is c. There are some instances where there will not be a b or c. For example, x^2 + 2, or 3x^2 - 4x. However, there must always be an a, or else the function isn't quadratic.
