Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
Enter the correct 4 digit code (no spaces)
Answer:
9999
Step-by-step explanation:
Answer:
6969
Step-by-step explanation:
what are the common denominators for 1/4 and 2/5 in pairs of fraction, plz help
Answer:
5/20 and 8/20
Step-by-step explanation:
The LCM of denominators is 20
Question 7(Multiple Choice Worth 5 points)
(04.07A LC)
Which equation does the graph below represent?
15
12
9
6
3
2 3 4 5
-5 -4 -3 -2 -1 01
31
-6
.9
-12
-15
y =
y = -3x
y = 3x
y = x
Answer:
[tex]y = -3x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the graph equation
To do this, we pick any 3 corresponding points of x and y
[tex](x_1,y_1) = (0,0)[/tex]
[tex](x_2,y_2) = (2,-6)[/tex]
[tex](x_3,y_3) = (-4,12)[/tex]
The equation can then be solved using linear interpolation as follows:
[tex]\frac{y-y_3}{x-x_3} = \frac{y_2 - y_1}{x_2-x_1}[/tex]
This gives:
[tex]\frac{y-12}{x-(-4)} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6 -0}{2-0}[/tex]
[tex]\frac{y-12}{x+4} = \frac{-6}{2}[/tex]
[tex]\frac{y-12}{x+4} = -3[/tex]
Multiply both sides by x + 4
[tex](x + 4) * \frac{y-12}{x+4} = -3 * (x + 4)[/tex]
[tex]y - 12 = -3 *(x + 4)[/tex]
Open bracket
[tex]y - 12 = -3x -12[/tex]
Add 12 to both sides
[tex]y - 12+12 = -3x -12+12[/tex]
[tex]y = -3x[/tex]
Item 1
Question 1
Write an equation of the line that passes through the given points in any form.
Graph of a line on a coordinate plane. The line passes through the points at ordered pair negative 1 comma 1.5 and ordered pair 0 comma 2.5.
Answer:
cooma 2.5
Step-by-step explanation:
i did the quiz
am different \_(*-*)_/
help me please !!!!!
conclude the following data
Step-by-step explanation:
Zoo
4=60
8=120
12=180
16=240
Museum
5=95
10=190
15=285
20=380
Use the equation to help list the zeros of the function.
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[tex]f(x) = - 5 {x}^{2} + 10x + 8[/tex]
[tex]0 = - 5 {x}^{2} + 10x + 8[/tex]
[tex] - 5 {x}^{2} + 10x + 8 = 0[/tex]
[tex]delta = {10}^{2} - 4( - 5)(8)[/tex]
[tex]delta = 100 + 160[/tex]
[tex]delta = 260[/tex]
[tex]x = \frac{ - (10) + \sqrt{delta} }{2 \times ( - 5)} \\ [/tex]
[tex]x = \frac{ - 10 + \sqrt{260} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 10 + 2 \sqrt{65} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]
And
[tex]x = \frac{ - 10 - \sqrt{delta} }{ - 10} \\ [/tex]
[tex]x = \frac{ - 10 - 2 \sqrt{65} }{ - 10} \\ [/tex]
[tex]x = \frac{ 5 + \sqrt{65} }{5} \\ [/tex]
______________________________________
Thus list the zeroes of the function is :
[tex]x = \frac{ - 5 + \sqrt{65} }{ - 5} \\ [/tex]
And
[tex]x = \frac{5 + \sqrt{65} }{5} \\ [/tex]
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The number of miles that 10 students have to travel to school is given. 4.6, 2.1, 1.7, 6.1, 0.9, 4.3, 2.0, 6.1, 8.4, 0.3 What is the median number of miles that these 10 students need to travel to school? 2.1 miles 3.2 miles 4.3 miles 6.1 miles
Answer:
The median is 3.2 miles
Step-by-step explanation:
Caroline works 18 hours a week at a restaurant and earns $8.25 per hour. She also earns tips, which are 15% of her food sales. In one week, she earned $263.25. Write an equation to find x, her total food sales for that week.
Answer:
X
Step-by-step explanation:
Answer:
14.28 and 6.75
Step-by-step explanation:
she earns 14.28 per hour and 6.75 each time.
PLEASE HELP I ONLY HAVE 10 MORE QUESTIONSS
Answer:
Length
√45 units
Distance
√13 units
Step-by-step explanation:
Here, we want to calculate the length and the distance between the points
To calculate the length, we need the coordinates of the points
These are;
(1,-2) and (4,4)
the length can be calculated using the formula for the distance between two points
Mathematically, that will be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(1-4)^2 + (-4-2)^2
D = √(9 + 36)
D = √45 units
We use the same formula to get the distance between the two given points
that will be;
D = √(5-3)^2 + (-2-1)^2
D = √(2)^2 + (3)^2
D = √13 units
A club deposited $50,000 in a savings account at the beginning of the year. Interest will be paid at a rate of 3% at the end of the year. How much interest will the club receive for a year? Please help!
A birthday party has a grab bag for each of the guests. There are 8 bags filled with candy, 5 containing CDs, and 2 grand prize bags with gift certificates. The bags are identically wrapped and shuffled. Joe is first to choose a bag, and Devon is second. What is the probability that Joe and Devon will both choose grand prize bags?
Answer:
1/105
Step-by-step explanation:
First, the probability that Joe chooses a grand prize bag is 2/15 because there are 2 grand prize bags out of 15 total bags.
Next, the probability that Devon chooses a grand prize bag is 1/14 because if Joe already chose one of the grand prize bags, there is only 1 left out of a total of 14 bags left.
The last step is to multiply those two bags, so [tex]\frac{2}{15} * \frac{1}{14}[/tex] = [tex]\frac{1}{105}[/tex]
Six segments form two triangles. AB = 3 cm, FE =11cm, CB = 9 cm, DE = 9 cm, CA=11 cm, and FD = 3 cm. (a) Write a triangle congruency statement. (b) What postulate guarantees that these triangles are congruent?
What is the sum or difference of 10 + (-11) + 5 + (-5)?
Answer:
-1 is the answer
Step-by-step explanation:
Answer: -1
Step-by-step explanation:
10 + (-11) + 5 + (-5)
=10 - 11 + 5 - 5
=10 - 11
= -1
hope this help, if this don't forget to click the " thanks" button! :)
Your gas bill went up from $125 per month to $150 per month What is the
percent increase of your gas bill?
17%
20%
83%
120%
What is the Domain of the graph?, and What is the Range of the graph ?
Answer:
Domain is 0-12 and the range is 0-10
Step-by-step explanation:
The domain is the x values and the range is the y values
Answers:
Domain: [tex]0 \le x \le 12[/tex]
Range: [tex]0 \le y \le 10[/tex]
===============================================
Explanation:
The domain is the set of all possible x inputs. The x axis is along the horizontal, so x refers to the number of minutes. The smallest x can get is x = 0 and the largest is x = 12. To describe everything in between those endpoints, including both endpoints, we write [tex]0 \le x \le 12[/tex]
The range is the set of all possible y outputs. The y axis is vertical so y refers to the distance from home. The smallest distance is y = 0 and the largest distance is y = 10. So we say the range is [tex]0 \le y \le 10[/tex] to describe everything in between 0 and 10, including those endpoints.
Side note: 12 minutes = 12/60 = 0.2 hours. You travel 10 miles in 0.2 hours, so the speed is distance/time = 10/0.2 = 50 mph.
2) The sides of a triangle in cm, are , x , 2x - 5 and 2x - 3. The perimeter of the triangle is 32 cm. Write down an equation for x. *
a) 5X-8=32
b) 4x-5= 32
c) 4X-8=32
Answer:A=X x=8
B=x X=9
C=x X=10
Step-by-step explanation:
Please put the missing numbers pls irl give brainliest
Answer: (9 x 10^10) - (4 x 10^10) in scientific notation is 5x x 10^10
how do I solve this question ?
Answer:
x=37 CD=20
Step-by-step explanation:
We know this becuase the two triangles are congruent.
6 pears for $2.88 what is the cost per pears.
Answer:
0.48
Step-by-step explanation:
2.88/6=0.48
the product of 25/-15 x 9 is
Step-by-step explanation:
25/-15×9
The answer is -15
please help me and i love you forever ;)
Answer:
x = 45°
y = 90°
Step-by-step explanation:
Angles in a Triangle
The sum of the internal angles in a triangle is 180°.
On the other hand, the tick marks on the triangle tell us it's an isosceles triangle, thus the angle formed at both sides of the triangle is x.
Finally, angle x and 135° are a linear pair that always add up to 180°, thus
x = 180 - 135 = 45
x = 45°
The angle y can be found by completing the measure needed to 180°:
x + x + y = 180
y = 180 - 2x = 180 - 90
y = 90°
Could someone help me with this I’m kinda stressed out ill give out brainliest please don’t answer if you don’t know thank you
What is the distance between the points (4,5) and (8,6)?
Alfredo has 3 times as many sneakers as Jessy. Lucia has 5 more sneakers than Jessy. Together they have 20 pairs. Find the number of sneakers each person has.
please show work
Answer:
Step-by-step explanation:
H
Answer:
15
Step-by-step explanation: 3x5=15
so thx 4 the points
A fighter jet has traveled 60 miles since take-off. The equation
1945 – 60 can be used to determine the total number of miles
the jet has traveled. In the equation, y represents the number of
miles traveled, and represents the number of minutes traveled.
Which statement best describes the rate of change in the distance
traveled?
The answer is 3,150
Step-by-step explanation:
You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.
A publishing company creates a book for young children. To find the number of pictures on the page, the book says to multiply the page number by 2 and add 3.
Which would best complete the pattern?
A. 4 x 2 = 8, 8 + 3 = 11, 11
B. 4 + 2 = 6, 6 + 4 = 10, 10
C. 4 = 2, 2 + 6 = 8, 8
Answer:
A
Step-by-step explanation:
A is the only choice that has all of the steps and in order.
Answer:
sdfg
Step-by-step explanation:
xcvbn
Will mark brainiest
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Answer:
For Literature = 90 pages
For Grammar = 60 pages
Step-by-step explanation:
An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?
Literature : Grammar
3 : 2
Total number of Proportion = 3 + 2 = 5
For Literature
= 3/5 × 150 pages
= 90 pages
For Grammar
= 2/5 × 150 pages
= 60 pages
What is the function for the red line?
It has to be one that matches up against the stars!!
red line is crimson because itit tha national colour of nepal