Answer:
{x,y}={−5,−7}
Explain:
// Solve equation [2] for the variable y [2] 3y = 7x + 14 [2] y = 7x/3 + 14/3 // Plug this in for variable y in equation [1] [1] 8x - 3•(7x/3+14/3) = -19 [1] x = -5 // Solve equation [1] for the variable x [1] x = - 5 // By now we know this much : x = -5 y = 7x/3+14/3 // Use the x value to solve for y y = (7/3)(-5)+14/3 = -7 Solution : {x,y} = {-5,-7}
Hoped I helped
Answer:
Input:
f(x, y) = x^2 - y^2
Geometric figure:
hyperbolic paraboloid
3D plot:
3D plot
Contour plot:
Contour plot
Alternate form:
f(x, y) = (x - y) (x + y)
Alternate form assuming x and y are positive:
x^2 = f(x, y) + y^2
Properties as a function:
Domain
R^2
Range
R (all real numbers)
Parity
even
Partial derivatives:
d/dx(x^2 - y^2) = 2 x
d/dy(x^2 - y^2) = -2 y
Indefinite integral assuming all variables are real:
integral(x^2 - y^2) dx = x^3/3 - x y^2 + constant
4. The Ferris Wheel Problem:
You are riding a Ferris wheel that has a radius of 50 feet. The center of the wheel is
65 feet off the ground. The wheel makes a complete turn every 40 seconds and it
turns counterclockwise, Riders board the wheel at the 6 o'clock position
You can see a beautiful view from the Ferris wheel as long as you are more than 90
feet off the ground. When will you be able to see the view
acer
Answer: the answer is when the wheel is at 70.43° after 7.82seconds from when you ride on it
Step-by-step explanation:
Rule of 3
65ft center meaning the top point at 90° will be at 115ft since the diameter of the wheel is 50ft
If the 90° gets you at 115ft, at what degree will you reach 90ft?
90°----115ft
X°------90ft
(90x90) ÷ 115 = 70.43°
Then if 360° takes 40seconds which is the complete turn
360°----40s
70.43°--X
(70.43 x 40) ÷ 360 = 7.82s
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.
A second machine has 4 different animal-shaped rubber bands (lion, elephant, horse, and alligator) and an equal chance
of dispensing each. If you buy one item from each machine, what is the probability of getting a yellow gumball and a lion
band? (ANSWER FASTT PLESEE)!
Answer in fraction form = 1/20
Answer in decimal form = 0.05
Answer in percent form = 5%
These are three ways to express the same thing
=============================================================
Explanation:
Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.
The probability of getting a lion rubber band is 1/4 for similar reasoning as above.
Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20
Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.
The average of x and t is y. If s = 2y, what is the average of s, x,
and t in terms of y?
А. Зу
B. 2y
C. 5y/3
D. 4y/3
E. y
===================================================
Explanation:
First focus on the fact that "the average of x and t is y". This means
(x+t)/2 = y
We basically add x and t, then divide by 2 to get the average y
--------
We are then told that s = 2y, so we double the average
s = 2y
s = 2(x+t)/2
s = x+t .... notice the 2's cancel each other out when dividing
s turns out to be the sum of x and t, which is fitting I think
---------
Now find the average of s, x, and t. You'll add the three values and divide by 3
(s+x+t)/3
(s + (x+t))/3
(s + s)/3 .... replace x+t with s
2s/3
2(2y)/3 ... plug in s = 2y
4y/3
The average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3
Calculating AverageFrom the question, we are to determine the average of s, x, and t in terms of y
From the given information
The average of x and t is y
That is,
(x+t)/2 = y
∴ x + t = 2y
Also,
s = 2y
The average of s, x, and t is
(s + x + t) / 3
Putting the values of x + t and s into the above expression, we get
(2y + 2y)/3
This becomes
4y/3
Hence, the average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3
Learn more on Calculating average here: https://brainly.com/question/20118982
SPJ2
Brad get an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad save one-half of his allowance and Samantha saves two-thirds oh her allowance. Suppose brad started with $0 savings and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answer:
160
Step-by-step explanation:
y = 2x – 1
Please help
Solve the Following expression d=5 2d+4d-9-7=
Answer:
14
Step-by-step explanation:
d=5 so
2(5)+4(5)-9-7
10+20-9-7
30-9-7
21-7
14
Answer:
2×5+4×5-9-7.
10+20-9-7.
=14.
Answer:
2×5+4×5-9-7.
10+20-9-7.
=14.
10 + 2x + 6x = 26 I need help with that pls :)
Answer:
x=2 is the answer.
Step-by-step explanation:
10+2x+6x=26
10+8x=26
Subtracting 10 on both sides to find out the value of x
10-10+8x=26-10
8x=16
Dividing 8 on both sides
8x/8=16/8
x=2
Hope it will help ^_^
Answer:
x =2Step-by-step explanation: I hope it helps :)
[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]
Which value is a solution of the equation x2 (squared) = 49?
X = 98
X = 2,401
X = 24.5
X = 7
Answer:
24.5
Step-by-step explanation:
If you multiply 2 and 24.5 together you would get 49
The value of the solution to the given equation is 7, which is the correct answer that would be option (D).
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
The equation is given in the question following as:
x² = 49
We have to determine the value of the solution to the given equation
As per the given question, we have
⇒ x² = 49
⇒ x² - 49 = 0
⇒ x² - 7² = 0
We know that the formula as, a² - b² = (a + b)(a - b)
Here a = x and b = 7, and we get
⇒ (x + 7)(x - 7) = 0
⇒ x + 7 = 0 and x - 7 = 0
⇒ x = - 7 = 0 and x = 7
Thus, the value of the solution to the given equation is 7,
Hence, the correct answer would be an option (D).
Learn more about the equation here:
brainly.com/question/10413253
#SPJ5
If the volume of a cube is 125 cubic meters, what is the length of each arm?
Translated in Bengali
একটি ঘনকের আয়তন ১২৫ ঘন মিটার হলে , এর প্রতি বাহর দৈর্ঘ্য কত?
Answer:
5 metres.
Step-by-step explanation:
The volume is the length of each edge cubed,
so x^3 = 125 where x is that length.
x = ∛125
= 5.
Answer:
5
Step-by-step explanation:
PLEASE HELP WITH PRE CALC
Answer:
-3/2
Step-by-step explanation:
The average rate of change is synonymous to the slope.
So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.
At x=-2, we can see that y is 4. Thus, we have (-2,4).
At x=2, we can see that y is -2. Thus, we have (2,-2).
Now, use the slope formula. The formula for slope is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:
[tex]m=\frac{-2-4}{2--2}[/tex]
Simplify:
[tex]m=\frac{-6}{4}[/tex]
Reduce:
[tex]m=-3/2[/tex]
So, our average rate of change from the interval x=-2 to x=2 is -3/2.
I’m confused on my review question. Help ASAP
the Function h(x)=2(x+3)/x is a result of the composition. If g(x)=2/x, what is f(x)
Answer:
its b
Step-by-step explanation:
i just did it.
y = 8x + 3 when rearranged to solve for x
Answer:
x = Y-3 over 8
Step-by-step explanation:
Y = 8x+3
Take the 3 to the other side by subtracting it
so:
Y-3 = 8x
divide 8 to get only x
x = Y-3 over 8
Round 72895.4177829 to the nearest ten.
The resulting number is 72895.5.
To round the number given on statement we must truncate all digits that are less than a tenth and ascend the tenth digit to its next one. Please notice than tenth digits is the digit right after the separator.
Step 1 - Truncate digits less that a tenth:
[tex]x = 72895.4[/tex]
Step 2 - Ascend the tenth digit to its next one:
[tex]x = 72895.5[/tex]
We kindly invite to see this question related to rounding: https://brainly.com/question/2323275
13 inches Find the surface chea of a rectangular prism with a height of 6 inches a width of 7 inches, and a length of 13 inches.
Answer:
422 Square Inches
Step-by-step explanation:
6x7=42
7x13=91
6x13=78
(2)42+(2)91+(2)78=422
You are multiplying each calculation by 2 because a rectangular prism has 6 sides. 2 sides height x width, 2 sides height x length, and 2 sides width x length
Clara wants to paint her bedroom skyblue ,so she mixes blue and white paint.Then she decided to mix paint for her living room.To make sure she has enough paint for the larger room,Ciara plans to use double the amount of white paint and double the amount of blue paint.Which room would be the lighter shade
Answer:
the living room
Step-by-step explanation:
Describe the relationship between the angles!! HELP ME PLZ
Answer:
1. alternate exterior angles
2. co-interior angles
3. corresponding angles
4. alternate interior angles
5. corresponding angles
6. co-interior angles
2 x (16+ [1 +9+(5-2)]? – 3] – 22
Step-by-step explanation:
2 x (16 + (10 + 3) - 3) - 22
2 x (16 + 13 - 3) - 22
2 x 26 - 22
2 x 4
= 8
The function f(x) = 16.4x + 2 is used by a construction company to estimate the amount of fuel necessary for a truck to get to a job site depending on the miles from the office, x. The mathematical domain for the function is the set of real numbers. How does the reasonable domain differ from the mathematical domain?
Answer:
The reasonable domain is less extensive that the mathematical domain.
Step-by-step explanation:
The reasonable domain for the function is the set of all possible values of the independent variable (in this case x) that make sense to the situation in which the function is being applied.
For the function [tex]f(x)=16.4x+2[/tex], the mathematical domain is the set of real numbers.
Now, in the function the independent variable ''x'' represents the distance (in miles) between the job site and the office. We know that we can't have a negative distance in real life. Therefore, we need to restrict our mathematical domain into the reasonable domain by eliminating all the negative numbers from the set of all real numbers.
Our new domain (reasonable domain) is
{x ∈ IR : x ≥ 0}
The reasonable domain is less extensive that the mathematical domain.
if 225.00 yields 27.00 in x years as simple interest at the rate of 4% per annum find x
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]
help me find the area and perimeter please
Answer:
Area = length × width = 15 × 9 = 135
Perimeter = 2 × (length + width) = 2×(15 + 9) = 48
What is 516x4.2 it is for school i would appreciate the answer.
Answer:
2167.2
Step-by-step explanation:
Answer:
2167.2
Step-by-step explanation:
For this problem, let's use the distributive property to make this multiplication easier.
4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.
Now let's multiply these numbers with 516.
(516 * 4) + (516 * 1/5) == ?
(2064) + (103.2) == ?
2167.2 == ?
So the product of 516 and 4.2 is equal to 2167.2.
Cheers.
Dave is making cookies for his niece. He wants to
make 1/2 batches. If the recipe calls for 2 1/4 cups of
flour for one batch, how much flour will he need to
use for 1 1/2 batches?
Answer:2.25 + 4.5 = 6.75 cups of flour
2.25
Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4
2(8n2 + 9n) +
+ 9n) + 3(4n- 7n)
Answer:
n = 0 or n = -9/16
Step-by-step explanation:
Solve for n:
2 (8 n^2 + 9 n) - 9 n = 0
Hint: | Write the quadratic polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
16 n^2 + 9 n = 0
Hint: | Factor the left hand side.
Factor n from the left hand side:
n (16 n + 9) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
n = 0 or 16 n + 9 = 0
Hint: | Look at the second equation: Isolate terms with n to the left hand side.
Subtract 9 from both sides:
n = 0 or 16 n = -9
Hint: | Solve for n.
Divide both sides by 16:
Answer: n = 0 or n = -9/16
Find the coordinates of the midpoint of the segment with the endpoints
C(3,5) and D (9,5)
Answer:
(6,5)
Step-by-step explanation:
Formula: ([tex]\frac{x_{1}+x_{2} }{2 }[/tex],[tex]\frac{y_{1} +y_{2} }{2 }[/tex])
([tex]\frac{3+9}{2}[/tex],[tex]\frac{5+5}{2}[/tex])=([tex]\frac{12}{2}[/tex],[tex]\frac{10}{2}[/tex])
=(6,5)
To fully disprove a conjecture, one needs to find only ONE counterexample.
True
False
There are 24 men, 60 women, and 44 children on a bus. Write the ratio men:women:children in simplest form?
Answer:
6 : 15 : 11
Step-by-step explanation:
men:women:children
24 : 60 : 44
Divide each part by 4
24/4 : 60/4 : 44/4
6 : 15 : 11
Which table of ordered pairs represents a function?
Answer:
Graph on the top right.
Step-by-step explanation:
A function is a relation where one domain value is assigned to exactly one range value.
In a table, there would be no values repeating in the x-column.
The graph on the top right does not repeat any x values. Therefore, it is a function.
Why the other options are not functions:
The top left graph has 4 for all it's domain values.The bottom left graph has '-2' repeating for the domain.The graph on the bottom right repeats '0' as the domain.Hope this helps.
The two rectangles shown below are similar.
ram salary is 1500 which is new salary after an increment of 10%.find his basic salary?
Answer:
1363.6
Step-by-step explanation:
let the basic salary be = x
10% of x = 10/100x
So the equation = x + 10/100x = 1500
= x + 0.1x = 1500
= 1.1x = 1500
= x = 1500/1.1
= x = 1363.6