Solve by substitution
y=x+3
y=2x+5
Answers
y = 2x+5
x+3 = 2x+5
x+8 = 2x
x = 8
I think I did that right, anyway.
y=2x+5
1. Solve for the variable that is easiest to find.
In this case I will solve for x.
y=x+3
-3 -3
y-3=x
2. Now plug in (y-3) for x in the other equation.
y=2(y-3)+5 ~use distributive property
y=2y-6+5 ~combine like terms
y=2y-1
-2y=-2y
-y=-1 ~multiply both sides by -1
y=1
3. Since you have a value for y you can plug it in to solve for x.
y=x+3
1=x+3
-3 -3
-2=x
Answers:
y=1
x=-2
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Multiply. start fraction k plus 3 over 4 k minus 2 end fraction dot left parenthesis 12 k squared plus 2 k minus 4 right parenthesis
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Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 18 feet long and Ariadne's shadow is 15 feet long. If Dixon is 6 feet tall, how tall is Ariadne?
One of the three economic questions deals with deciding
Answers
Answer:
30.4
Step-by-step explanation:
80x38/100
X=(38*80)/100
X=30.4
Answers
Answer:
$26.25 is the cost of 3.5 square meters canvas.
Step-by-step explanation:
Cost of one unit square canvas is given as $7.50 and we have to calculate the cost of 3.5 square meter cost of the canvas.
We can use the unitary method to solve this question.
∵ Cost of 1 square meter canvas = $7.50
∴ Cost of 3.5 square meter canvas = 7.5 × 3.5
= $26.25
Therefore, cost of 3.5 square meter of the canvas is $26.25.
Answers
Time = Distance / speed
Since river flows downstream, speed of boat down stream = Speed of boat + speed of river = (15 + x).
Since river flows downstream, speed of boat upstream = Speed of boat - speed of river = (15 - x).
Time Upstream - Time Downstream = 75 minutes
Time Upstream = 45 / (15 - x)
Time Downstream = 45 / (15 + x)
75 minutes = 75/60 = 5/4 hours
Time Upstream - Time Downstream = 75 minutes = 5/4 hours
45 / (15 - x) - 45 / (15 + x) = 5/4 Divide both sides by 45
1 / (15 - x) - 1 / (15 + x) = (5/4)*(1/45)
1 / (15 - x) - 1 / (15 + x) = 1/36
((15 + x) - (15 -x)) / (15-x)(15+x) = 1/36
(15 +x - 15 +x) / (15-x)(15+x) = 1/36
2x / (15-x)(15+x) = 1/36
(15-x)(15+x) = 2x*36
(15-x)(15+x) = 72x
225 - x² = 72x
0 = x² + 72x -225
x² + 72x -225 = 0 This is a quadratic function, use a calculator that can solve the function, by inputting the function.
x = 3, or -75. Since we are solving for speed, we can not have negative values.
x = 3 is the only valid solution.
Speed of the river = 3 km/hr downstream.
Copyright.
Answers
an even function has symmetry about the x axis
this means that if you fold the graph over the y axis, the function will map over itself
in number terms, if f(x) is an even function, then f(x)=f(-x)
an example is f(x)=x²
an odd function has symmetry about the origin
it is kinda confusing, but if g(x) is an odd function, g(-x)=-g(x)
an example is g(x)=x³
the first one (f(x)) seems to be neither
h(x) one, notice for x=2 and -2, the values are negative of each other, this tells us that it's an odd function
g(x), replacing x with -x gives us -|-2x|+3=-|2x|+3, same function, even function
Answers
A. a fraction between π/2 and π/3
B. an integer between –11 and –10
C. a whole number between 1 and 2
D. a terminating decimal between –3.14 and –3.15
Answers
Using the concept of dense numbers, it is found that the correct option is:
A. a fraction between π/2 and π/3
-----------------
- The rational numbers are dense in the real numbers because all irrational numbers can be closely approximated to a rational.
- There are no integers between -11 and -10, neither there are whole numbers between 1 and 2, thus, options B and C are incorrect.
- Terminating decimals between -3.14 and -3.15, such as -3.141, are rational numbers, so it does not show the density, and thus, option D is incorrect.
and
, just as
, are non-terminating decimals, thus they are irrational numbers. However, through rounding, all can be approximated to a rational number, and thus, it shows that rational numbers are dense in the real numbers, being the correct option.
A similar problem is given at brainly.com/question/17405059
Answer:
A terminating decimal between -3.14 and -3.15
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers)