An event tent rental business charges a fee to set up and take down a tent, plus an hourly rate. The equation y = 65x + 150 can be used to find the total fee, y, for renting a tent for x hours.
Part A: What’s the hourly Rate?
Part B: What is the fee to set up and take down the tent?
The hourly rate is $65 per hour. While the fees to set up the tent is $100 and to take down after t hours is 65t + 100.
As we can see, the relation between the total fees and the hours for renting in hours is related by the equation,
y = 65x + 100
We are assuming that the price is in dollar.
This is an equation of line in slope-intercept form.
In slope intercept form, the coefficient of x is the slope of the line, which is 65 here.
So, the rate at which the fees is changing with time is 65.
So, the hourly rate will be $65 per hours.
The fees when tent is set can be calculated by,
We should put x = 0, because it is the start,
So,
y = 100
So, the fee to set up is $100.
Let us say the tent is removed after t hours, so the fees will be,
y = 65t + 100.
Fees of taking down the tent is $(65t+100)
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how do i create a visual of this
Answer: Draw a picture of 2 1/2 cups of flour being added to 1 1/2 cups of sugar in a bowl.
Step-by-step explanation: wink wink
The width of a human hair is 2 x 10-5 meters. The width of a piece of sand is 1.5 x 10¹ meters.
What is the difference in the widths, in meters, of the human hair and the piece of sand?
The difference in the widths, in meters, of the human hair and the piece of sand is [tex]1.4998*10^{-1}[/tex] m.
It is given in the question that:-
Width of a human hair = [tex]2*10^{-5}[/tex] m
Width of a piece of sand = [tex]1.5*10^{-1}[/tex]m
We have to find the difference in the widths, in meters, of the human hair and the piece of sand.
We know that,
Difference between the widths = Width of a piece of sand - Width of a human hair
Hence, we can write,
Difference between the widths = [tex]2*10^{-5}[/tex] m - [tex]1.5*10^{-1}[/tex]m
We can write,
[tex]1.5*10^{-1}=15000*10^{-5}[/tex]
Hence,
Difference between the widths =
[tex]15000*10^{-5} - 2*10^{-5}= 14998*10^{-5} = 1.4998*10^{-1}[/tex] m
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Write the equation of the line that is perpendicular to y = 1 and goes through (4, −9).
FOR PERPENDICULAR LINES WHEN THEIR GRADIENTS ARE MULTIPLIED THEY GIVE -1
BUT IF WE ARE TO CHECK IN THE LJNE y=1 the gradient is 0
there is no number when multiplied with 0 that will give us -1 it means that the gradient of the line perpendicular to the given one will also be 0
when we substitute in the general equation y=mx+c together with the points
[tex] - 9 = (0)(4) + c \\ c = - 9[/tex]
IT MEANS THE EQUATION OF THE NEW EQUATION WILL BE
[tex]y = - 9[/tex]
HOPE THIS HELPS
BIG IDEAS MATH
#2 i
The table represents a quadratic function. Write an equation of the function in standard form.
x 3 45 6
y 10 7 10 19
y=
Basic
PAUL BENEDICTO
Check
The equation of the function in the standard form is:
3x + y = 25.
Given, From the table we can get the dy/dx which is the slope (m) ,
Therefore,
dy/dx = (7 - 10 ) / ( 4 - 3 )
dy/dx = -3
f(x) = ax² + bx + c, where a, b, and c are all numbers and an is not equal to 0, is the definition of a quadratic function. A parabola is the shape of a quadratic function's graph. Despite the fact that a parabola's "width" or "steepness" and opening direction can change.
Now,
( y - y₁ ) = m ( x - x₁ )
Putting the value from the table,
( y - 10 ) = -3 ( x -5 )
⇒ y - 10 = -3x + 15
⇒ 3x + y = 25
Hence the equation of the line in standard form is 3x + y = 25.
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What is 7 7/8 • 2 1/4
Answer:
Step-by-step explanation:
[tex](7\frac{7}{8} )(2\frac{1}{4} ) = \\\\\frac{567}{32} \\\\OR\\17\frac{23}{32}[/tex]
-9x+1=-80 what does the x equal
Answer:
Simplifying
x = 9
Step-by-step explanation:
Simplifying
9x + -1 = 80
Reorder the terms:
-1 + 9x = 80
Solving
-1 + 9x = 80
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x = 80 + 1
Combine like terms: -1 + 1 = 0
0 + 9x = 80 + 1
9x = 80 + 1
Combine like terms: 80 + 1 = 81
9x = 81
Divide each side by '9'.
x = 9
Calculate the length of the sides marked x and y
Step-by-step explanation:
there is no side marked y.
to get x :
the graphic shows us already the split of the overall object into sub-shapes :
2 right-angled triangles
1 rectangle
x is the sum of the width of the rectangle and the shorter leg of the larger, top right-angled triangle.
to get both we need to use Pythagoras :
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs of the triangle.
let's start with the shorter leg of the larger triangle.
the Hypotenuse is 18, and the longer leg is the same as the length of the "underlying" rectangle : 10.
so, we get
18² = 10² + leg1²
324 = 100 + leg1²
leg1² = 224
leg1 = sqrt(224) = 14.96662955...
now to the width of the rectangle.
it is the same as the longer leg of the smaller triangle on the right side.
its Hypotenuse is 5. its shorter leg is 2.
so, we get
5² = 2² + leg2²
25 = 4 + leg2²
leg2² = 21
leg2 = width rectangle = sqrt(21) = 4.582575695...
x = leg1 + leg2 = 14.96662955... + 4.582575695... =
= 19.54920524...
the radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. how fast is the volume changing when the radius is 10 centimeters? (round your answer to four decimal places. be sure to choose the correct units.)
The air is filled inside the balloon at the rate of 1600π cm³/sec.
What is termed as the rate of change?The momentum of a variable is represented by the rate of change, which is used to arithmetically define the percentage change in value over a specified period of time.The amount of air blown through will be evaluated in volume per unit of time. That is the rate at which volume changes with respect to time.The rate during which air is blown into the balloon is identical to the rate that the volume of a balloon grows.
Volume of the spherical balloon;
V = (4/3)πr³
Given is dr/dt = 4 cm/sec.
To calculate the volume change with respect to time.
dV/dt when r = 10 cm.
Differentiate V = (4/3)πr³ with respect to t.
d(V)/dt = (d/dt)(4/3)πr³
dV/dt = (4/3)π. 3r² dr/dt
dV/dt = 4πr² dr/dt
Put the values.
dV/dt = 4π(10)² .(4)
dV/dt = 1600π cm³/sec
Thus, air is filled inside the balloon at the rate of 1600π cm³/sec.
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Kirsten bought a used car for $3,600. She made a $360 down payment on it. How much more does Kirsten owe on the car?
Answer:
Kirsten owes $3240 more on the car.
Step-by-step explanation:
$3600 - $360 = $3240
what is a four sided shape that has two parallel sides: can be cut into two triangles with a diagonal line through opposite corners?
The four sided shape that has two parallel sides: can be cut into two triangles with a diagonal line through opposite corners is a parallelogram.
What is a parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are of equal length, and its opposite angles are of equal measure.
The parallelogram is divided into two congruent triangles by each diagonal. The total of the squares of a parallelogram's sides equals the sum of the squares of its diagonals. It is also known as parallelogram law.
A parallelogram is a two-dimensional geometrical shape with two parallel sides. It is a four-sided polygon (sometimes known as a quadrilateral) with parallel sides that are equal in length. The sum of a parallelogram's neighboring angles equals 180 degrees.
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what’s the answer to the equation
Answer:
8x-40=200
Step-by-step explanation:
Use Tools Telegraphs were used to send messages before the
telephone was invented. A telegraph operator could interpret about
40 words sent in Morse code per minute. Approximately how many words
sent in Morse code could the operator interpret in 12.5 seconds? State
what strategy and tool you will use to answer the question, explain your
choice, and then find the answer.
Answer:
stuff and more stuff
Step-by-step explanation:
Please help
Quick thank you :)
Answer:
Ray
Step-by-step explanation:
A ray has a starting point and then continues in one direction.
18:54:12 simplified
On simplifying the proportion 18:54:12, we get answer as 3:9:2.
What are the proportional guidelines?The following are crucial proportional characteristics:
If a: b = c: d, then a + c: b + d. Addendum
A - c: b - d if a: b = c: d. Subtrahendo
Dividendo states that if a: b = c: d, then a- b: b = c- d: d.
If a: b = c: d, then a Plus b: b Equals c+d: d. This is known as combining.
To put it another way, if a: b = c: d, then a: c = b: d.
On simplifying,
18:54:12
Firstly, dividing the all numbers by 3
= 6:18:4
Now dividing by 2
= 3:9:2
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Please help with this i will give lots of points
The equations of the line will be expressed as y = 4 and y = -2x + 11 respectively.
Slope of a line may be defined as the steepness of a curve on graph. Slope is denoted by 'm'. If we are given two points (x₁, y₁) and (x₂, y₂) then the slope of line can be given by m = (y₂ - y₁)/(x₂ - x₁). Now, we have a line y = 6 and this line is parallel to x-axis, so the slope of this line is zero. Since, we have to find the equation of line parallel to given line so the slope of the line parallel to line y = 6 will also be equal to zero. Now, equation of line from points (3, 4) and slope zero is given by
(y - 4) = 0×(x - 3)
=> y - 4 = 0
=> y = 4 which is the required equation.
Now, for the second part we have need to find the equation of line parallel to line y = -2x - 1 and from point (4, 3). The slope of new line is -2 which will be same as the given line as they both are parallel. Now, equation of line will be
(y - 3) = -2(x - 4)
(y - 3) = -2x + 8
y = -2x + 8 + 3
=> y = -2x + 11 which is the required equation.
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What are the coordinates of the point on the direct line segment from (-5, -10) to (2, 4) that partitions the segment into a ratio of 2 to 5?
Now the given coordinates are,
(-4,10) and (2,-10)
Thus, we have,
x₁ = -4
y₁ = 10
x₂ = 2
y₂ = -10
Given ratio, m₁ : m₂ = 1 : 3
⇒ m₁ = 1; m₂ = 3
Let (x,y) be the coordinates of the point on the directed line segment from (-4,10) to (2,-10) that partitions the segment into a ratio of 1 to 3.
Since the section formula is given as,
So, x = (m₁x₁ + m₂x₂) / (m₁ + m₂)
y = (m₁y₁ + m₂y₂) / (m₁ + m₂)
Put the values,
x = [1(-4) + 3*2)] / (1 + 3) = (-4+6) / 4 = 2/4
⇒ x = 1/2
Similarly y = [1(10) + 3*(-10)] / (1 + 3) = (10-30) / 4 = -20/4
⇒ y = -5
So, the required coordinates are (1/2, -5)
Thus, the coordinates of the point on the directed line segment that partitions the segment into a ratio of 1 to 3 is (1/2, -5).
Answer:(-3,-6)
Step-by-step explanation:
Percents
Progress:
The movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your and
Solve this problem, and identify the percent, amount, and base.
What percent of 60 is 45?
O Percent = 75, Amount = 60, Base = 45
O Percent = 45, Amount =27, Base = 60
O Percent = 75, Amount = 45, Base = 60
Percent 60, Amount = 27, Base = 45
Submit
Hold
The correct option is- Percent = 75, Amount = 45, Base = 60 for the movement of the progress bar.
What is termed as the progress bar?In math, bar notation is a simple method for expressing a repeating number by drawing a line over the number which repeats. Learn regarding infinity, when figures go on forever, and when to use bar notation by exploring the definition as well as examples of bar notion.For the given question,
The movement of the progress bar could be uneven due to questions can be worth more or less (including zero) due-
Type of problemThe individual capacityThe amount of something is stated in terms of a fraction of a hundred. The ratio can be expressed as a fraction of 100.
Base = 60 and the Amount is the 45.
Let the % will be x;
x% of 60 =45
60x =45
x=45/60
x=0.75
To obtain the percentage value, multiply it by 100 as follows:
% x = 0.75 × 100
% x = 75
Thus, the percentage of 60 is 45 will become 75%.
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a farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. what is the maximum area that the farmer can enclose with 48 ft of fence? what should the dimensions of the garden be to give this area? question content area bottom part 1 the maximum area that the farmer can enclose with 48 ft of fence is
The maximum area that the farmer can enclose for the rectangular garden is 488 sq ft and the dimensions of the rectangular garden are 24ft and 12 ft respectively.
It is given that a farmer decided to enclose a rectangular garden with one side using the barn of a tree and other 3 sides with 48 ft of fencing.
Let the length of the rectangle be y and the breadth of the rectangle be u.
So perimeter of the fencing needed = y + 2u (as one side is barn)
∴ y + 2u = 48
⇒ y = 48 - 2u (equation 1)
Area = yu (equation 2)
Putting the value of variable y from equation 1 in equation 2 we have,
Area = (48-2u)u
∴ Area = 48u - 2[tex]u^{2}[/tex]
⇒ Area = -2[tex]u^{2}[/tex] + 48u
⇒ Area = -2([tex]u^{2}[/tex] - 24u)
⇒ Area = -2([tex]u^{2}[/tex] - 24u + 144) + 288 (using completing the square method)
⇒ Area = -2[tex](u-12)^{2}[/tex] + 288
So the maximum area is 288 sq units as for any value of u the area value will decrease as seen from the above equation.
So if Area = 288
Then yu = 288
⇒ u = 288/y equation 3
Putting this value in Perimeter equation 1 we have,
y = 48 - 2u
⇒ y = 48 - 2 x [tex]\frac{288}{y}[/tex]
⇒ [tex]y^{2} = 48y - 576[/tex]
⇒ [tex]y^{2} - 48y + 576 = 0[/tex]
⇒ [tex](y-24)^{2}[/tex] = 0
Solving we get y = 24 ft
Hence the value of u is calculated as follows:
⇒ u = 288 / y
⇒ u = 288/ 24 = 12 ft
The maximum area that the farmer can enclose is 488 sq ft and the dimensions of the rectangle are 24ft and 12 ft respectively.
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-4w = -12 solve for w simplify your answer as much as possible
Answer:
w = 3
Step-by-step explanation:
-4w = -12
divide both sides by -4:
-4w/-4 = -12/-4
w = 3
Answer:
w=3
Step-by-step explanation:
1. divide -12 by -4
[tex]w = \frac{ - 12}{ - 4} [/tex]
[tex]w = 3[/tex]
7) An amusement Park Charges a $50
admission free and $10 for each ride.
which equation can be used to determine
C, the total cost of a day at the amusement
Park, based on n, the humber of rides.?
Answer:
50+((10n) =
so 50 is how much it cost to walk in the park and 10 is how much each ride (n) cost soif you know how many rides your ride you times that by 10 the add 10 to 50 and you get how much it will cost you for the day
Find the slope of the following equation. Simplify your answer.
5x + 2y = -10 And do not tell me it’s m= - 5/2 because clearly that’s not an option
The correct answer is: [D]: " [tex]m = \frac{-5}{2}[/tex] ".
______
Step-by-step explanation:
We are given:
" 5x + 2y = -10 " ; Find the slope of the equation.
______
Rewrite this equation in slope-intercept format ;
that is: " y = mx + b " ;
in which:
y remains as single value, as an 'output' ; or 'dependent
variable', on the 'y-axis' (if graphed);
isolated on the 'left-hand side' of the equation.
m is the coefficient of x in the equation; and represents the slope; for which we shall solve.
{If there is no slope, then "m = 0" ; and "[0 * x = 0]." };
And the "slope-intercept format" is: "y = b" }.
b represents the "y-intercept" ; i.e. when the line crosses the
"y-axis" when graphed; that is, the "y-value" of the "coordinate" of the "y-intercept" ; [i.e. the value of "y" when "x = 0" ; so; " (0, b) ".
{ Note: b can equal "0" ; in those cases: y = mx + 0 ; write as " y = mx "}.
{ If there is no slope, [i.e. "m = 0" ; and no "y-intercept" ; [i.e. "b = 0"];
Then: write the equation accordingly—e.g. " y = [whatever number the graph represents]." }.
Also, note that b can be a "negative number"; as well.
In that case, write an equation in "slope-intercept format" ; that is;
→" y = mx + b " ; as: " y = mx " .
______
Given: " 5x + 2y = -10 " ;
Let's rewrite: ↔ " 2y + 5x = -10 " ; to get the "y-value" a bit closer to the 'left-hand side' of the equation.
Then: Let's subtract 5x from Each Side of the equation;
2y + 5x − 5x = -10 − 5x ;
to get: " 2y = -10 − 5x " ;
______
Method 1):
We have: " 2y = -10 − 5x " ;
Divide Each Side by 2 ; to isolate y on the 'left-hand side' of the equation, and to rewrite as an equation in the slope-intercept format :
2y / 2 = (-10 − 5x)/2 ;
→ [tex]y =\frac{-10-5x}{2}= \frac{-10}{2}-\frac{5x}{2}[/tex] ;
→ [tex]\frac{-10}{2} =[/tex] -10 ÷ 2 = -5 ;
Rewrite the equation by replacing " [tex]\frac{-10}{2}[/tex] " ; with: -5 ;
→ [tex]y = -5 - \frac{5x}{2}[/tex] ;
Then, rewrite to get the equation in "slope-intercept format"
→ [tex]y = -5 - \frac{5x}{2}[/tex] ;
[tex]= -5 + (-\frac{5x}{2})[/tex] ; ↔ Rewrite:
[tex]= \frac{-5x}{2} + (-5)[/tex] ; ↔ Rewrite again:
[tex]=\frac{-5x}{2} -5[/tex] ;
→ [tex]y = \frac{-5x}{2} -5[/tex] .
Note: " [tex]\frac{-5x}{2} = \frac{-5}{2} x[/tex] " ;
→ [tex]y = \frac{-5}{2}x-5[/tex] ;
This is the equation written in "slope-intercept format" ;
that is: " y = mx + b " ;
in which:
y is isolated as a single variable on the 'left-hand side' of the equation;
m = [tex]\frac{-5}{2}[/tex] ; which is the slope; which is also the "coefficient" of x ;
b = -5 ; which is the 'y-coordinate' of the "y-intercept" of the graph;
So, the slope; "m = -5/2" ; is the correct answer; which corresponds to:
Answer choice: [D]: " m = [tex]\frac{-5}{2}[/tex] " .
______
Method 2):
Given: " 5x + 2y = -10" ; Find the slope of the line.
We want to rewrite the equation in the "slope-intercept format" ;
" y = mx + b " ; as explained above;
to get the correct answer for m, the slope of the line.
" 5x + 2y = -10 " ↔ Rewrite as:
2y + 5x = -10 ; since we want to isolate y as a single variable on the 'left-hand side' of the equation; and by rearranging & rewriting this equation, the 2y is closer to the 'left' of the equation.
Now, subtract 5x from Each Side of the equation:
2y + 5x − 5x = -10 − 5x ;
to get: 2y = -10 − 5x ;
Now, Let's multiply the entire equation (i.e. "Each Side") by -1 ;
to make the equation easier to handle;
-1(2y) = -1 (-10 − 5x) ;
For the 'left-hand side' of the equation:
-1*2y = -2y
For the 'right-hand side' of the equation:
Note the 'distributive property of multiplication'; as follows:
a(b + c) = ab + ac ;
Likewise:
-1(-10 − 5x) = (-1 *-10) + (-1 *-5x) ;
= (10) + (5x) = 10 + 5x ;
Now, rewrite the entire equation:
-2y = 10 + 5x ; ↔ Rewrite as;
-2y = 5x + 10 ;
Then, we divide Each Side of the equation by -2 ;
to isolate y as a "single variable" on the 'left-hand side' of the equation;
and to rewrite the equation in "slope-intercept format" ;
-2y / -2 = (5x + 10) /-2 ;
→ [tex]y=\frac{5x+10}{-2} =\frac{5x}{-2} +\frac{10}{-2} =\frac{5x}{-2}+(-5) =\frac{5x}{-2}-5[/tex] ;
→ [tex]y=\frac{5x}{-2} - 5[/tex] ;
which is written in "slope-intercept format" ; that is:
" y = mx + b " ;
in which:
y is isolated as a single variable on the 'left-hand side' of the equation;
m = [tex]\frac{5}{-2}[/tex] ; which does equal " [tex]-\frac{5}{2}[/tex] " ; which does equal " [tex]\frac{-5}{2}[/tex] " ;
which is the slope of the equation, as well as the 'coefficent of x' ;
b = -5 ; which is the 'y-coordinate' of the "y-intercept".
______
As such:
The correct answer choice is: [D]: " m = [tex]\frac{-5}{2}[/tex] " .
{Note: This is consistent with the answer choice from Method 1 above.}
______
Hope this answer and explanation is helpful.
Best of luck to you!
______
At a carnival it costs $34.92 for 12 tickets. Write an equation that can be used to express the relationship between the total cost (t) and the number of tickets(n) you buy.
The equation that can be used to express the relationship between total cost and tickets is t = $2.91n.
What is the total cost?The first step is to determine the cost of one ticket. The cost of one ticket can be determined by dividing the total cost of the ticket by the total number of tickets. Division is the operation that is used to determine the quotient of two or more numbers.
Cost of one ticket = $34.92 / 12 = $2.91
The equation that can be used to determine the total cost would have this form:
Total cost = cost per ticket x number of tickets
t = $2.91 x n
t = $2.91n
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Find the slope and y-intercept of the following equations :
3x-4y = 12
Which of the following triangles cannot be solved using the sine law
1. We can use the sine law since we have two angles and one of the angles had the side opposite it.
2. We can use the sine law because we have two angles, we can find the third angle in the triangle. This means we have all three angles. We now have two angles and one of the angles has the side opposite it.
3. We have a right triangle. We could use the sine law because we have the right angle and the hypotense. We have two sides and one angle.
4. We have two sides and the included angle. We cannot use the sine law. We would have to use the law of cosines to solve this problem.
Gasoline costs $2.20 per gallon. Maddie's mom put 9.5 gallons of gasoline in her car. What was the total cost of the gasoline? Choose the correct answer from the drop-down menu to complete the statement. The total cost of the gasoline can be found by _____ 2.20 and 9.5. The total cost is ______
Answer:
the multiplication of 2.2.20 and 9.5
Step-by-step explanation:
the total cost is $20.9
67 - 88 x 90 x 77 + 125 = ?
i think so is correct
parabola
described
Write the equation for the
7) A parabola that passes through the point (2, 2) and has a
vertex of (3, -1)
The most appropriate choice for parabola will be given by-
Equation of parabola that passes through the point (2, 2) and has a
vertex of (3, -1) is
[tex](x - 3)^2 = \frac{y +1}{3}[/tex]
What is parabola?
Parabola is a curve where every point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix.
Equation of parabola is [tex]y = a(x - h)^2+k[/tex] where (h,k) is the vertex of the parabola
Here,
Equation of the parabola with vertex (3, -1) is
[tex]y = a(x - 3)^2-1[/tex]
The parabola passes through (2, 2)
[tex]2 = a(2-3)^2-1\\2 = a-1\\a=2+1\\a=3[/tex]
Equation of parabola that passes through the point (2, 2) and has a
vertex of (3, -1) is
[tex]y = 3(x-3)^2 - 1\\[/tex]
[tex](x - 3)^2 = \frac{y +1}{3}[/tex]
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Which statement describes the graph of the system of equations below?
1.5x + 0.2y = 2.68
1.6x + 0.3y = 2.98
The lines are parallel.
The lines overlap at all points.
The lines intersect at (1.6,1.4).
The lines intersect at (3.1,0.5).
Answer:
3rd answer option (1.6, 1.4)
Step-by-step explanation:
the slope of the lines is different.
to see we transform the equations to the regular slope-intercept form
y = ax + b
with "a" being the slope and "b" being the y-intercept (the y value when x = 0).
1.5x + 0.2y = 2.68
0.2y = -1.5x + 2.68
y = -1.5x/0.2 + 2.68/0.2 = -7.5x + 13.4
1.6x + 0.3y = 2.98
0.3y = -1.6x + 2.98
y = -1.6x/0.3 + 2.98/0.3 = -5.33333...x + 9.93333...
-7.5 is not -5.3333...
so, the lines are not parallel nor overlap at all points.
therefore, they intersect at a point.
(1.6, 1.4) ?
the equations must remain true when using the coordinates :
1.5×1.6 + 0.2×1.4 = 2.68
1.6×1.6 + 0.3×1.4 = 2.98
2.4 + 0.28 = 2.68
2.68 = 2.68 correct
2.56 + 0.42 = 2.98
2.98 = 2.98 correct
yes, they intersect at (1.6, 1.4).
for (3.1, 0.5) already the x coordinate is way too large.
1.5×3.1 or 1.6×3.1 are already by themselves much larger than 2.68 or 2.98.
Simplify the expression. Show your work
Answer:
simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
Step-by-step explanation:
derivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
limit(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
taylor_series_expansion(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
antiderivative(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
integral(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))
equation_solver(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4))=0)
simplify(cube_root(27⋅x⋅exp(6)⋅y⋅exp(4)))