Answers
Answer:
A
Step-by-step explanation:
x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.
Related Questions
The students in art clas are designing a stained glass window to hang in the school entryway. The window wil
be 3 feet tall and 4 feet wide.
They have raised $100 for the project. The colored glass costs $5 per square foot and the dear glass costs $2
per square foot. The material they need to join the pieces of glass together costs to cents per foot and the
frame around the window costs $4 per foot
Do they have enough money to cover the cost of making the window.
Answers
Answer:
They don't have enough money
Step-by-step explanation:
Colored Glass =
$5/ 1 square = 60 / 12 square
Clear Glass =
2/1 = 24 / 12
Materials =
1/ 1= 1.2 / 12
Frame=
$4 / 1 ft = 28 / 12
TOTALS
60+24+1.2+28 = 113.2
For each of the following equations, show that the given value of x is a solution of the equation by direct substitution.
a) x = 4/3, Equation: 3x^2 + 5x - 12=0
b) x=1 + square root 6 , Equation: x^2 - 2x-5=0
c) x= 1 + 2i, Equation: x^2 - 2x+5=0
Answers
a.
The value x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
Since the equation is 3x² + 5x - 12 = 0, if x = 4/3, is a solution, substituting x = 4/3 into the equation will make the equation will make the left hand side equal zero.
So, 3x² + 5x - 12 = 0
Substituting x = 4/3, we have
3(4/3)² + 5(4/3) - 12
= 3(16/9) + 20/3 - 12
= 16/3 + (20 - 12 × 3)/3
= 16/3 + (20 - 36)/3
= 16/3 - 16/3
= 0
So, x = 4/3 is a solution of the equation 3x² + 5x - 12 = 0
b.
The value x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
Since the equation is x² - 2x - 5 = 0, if x = 1 + √6, is a solution, substituting x = 1 + √6 into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x - 5 = 0
Substituting x = 4/3, we have
x² - 2x - 5 = (1 + √6)² - 2(1 + √6) - 5
= (1² + 2√6 + (√6)²) - 2 - 2√6) - 5
= 1 + 2√6 + 6 - 2 - 2√6) - 5
= 2√6 + 6 + 1 - 2√6) - 5 - 5
= 2√6 + 7 - 2√6) - 7
= 2√6 - 2√6 + 7 - 7
= 0 + 0
= 0
So, x = 1 + √6 is a solution of the equation x² - 2x - 5 = 0
c.
The value x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Since the equation is x² - 2x + 5 = 0, if x = 1 + 2i, is a solution, substituting x = 1 + 2i into the equation will make the equation will make the left hand side equal zero.
So, x² - 2x + 5 = 0
Substituting x = 1 + 2i, we have
x² - 2x + 5 = (1 + 2i)² - 2(1 + 2i) + 5
= (1² + 2(2i) + (2i)²) - 2 - 4i + 5
= 1 + 4i - 4 - 2 - 4i + 5
= 4i + 1 - 4 - 2 - 4i + 5
= 4i - 5 - 4i + 5
= 4i - 4i + 5 - 5
= 0 + 0
= 0
So, x = 1 + 2i is a solution of the equation x² - 2x + 5 = 0
Learn more about quadratic equations here:
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ANSWER USING STEPS: y=2/3x-5
Answers
when x=0, y=-5
when y=0, x=15/2
when x=1, y=-13/3
x=(3(y+5))/2
A baseball player gets 18 hits in the first 21 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 28 games?
In the first 28 games, he'll get how many hits.
Answers
Answer:
126
Step-by-step explanation: I am pretty sure this is right so my explanation for this answer is, I subtracted 28 by 21 to see how many games were left, I got 7. So then I multiplyed 18 by 7 to see the total of each to have the final answer.
(sorry if wrong)
If oranges are sold at ₹45 per dozen, Manu can buy 6 dozens of them with the money he has. Find the decrease in the number of oranges that he can buy if the cost is increased by ₹9 per dozen
Answers
Answer:
first 45-6=36 and 36×6=216 the answer is 216
I'm going to pick a number between 0 and 10 inclusive, multiply it by 5, add 7 to the result, multiply that sum by 2, then pick a number between 0 and 10 to add to my product, then subtract 6. My result is 45. What is the product of the two numbers I picked?
Answers
We want to find the two numbers you picked, we will find that the two numbers you picked are 3 and 7.
First, you pick a number between 0 and 10, let's say that the number is N.
Then multiply it by 5 and add 7, so we get:
(5*N + 7)
Now we multiply this by 2
2*(5*N + 7)
Now we add another number between 0 and 10, let's call it M.
We need to add that to the product, and then subtract 6, and that will be equal to 45.
2*(5*N + 7) + M - 6 = 45
Now let's simplify the expression:
2*(5*N + 7) + M = 45 + 6 = 51
10*N + 14 + M = 51
10*N + M = 51 - 14 = 37
10*N + M = 37
With this, we want to find the values of N and M, but remember that these two values belong to the interval [0, 10]
So the only two solutions are:
N = 3 and M = 7
such that:
10*3 + 7 = 30 + 7 = 37
So the two numbers you picked are 3 and 7.
If you want to learn more, you can read:
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Original price of shorts $53.95 Discount 30% Tax:4.5%
Answers
Answer:157.35
Step-by-step explanation: multiply then add the tax
A store sells previously viewed movies. The table shows the cost of buying 1, 2, 3, or 4 movies.
a. Which mapping diagram represents the data in the table
Question 2
b. Is the relation a function? Explain.
Each input has exactly one output. Therefore, the relation is a function.
Question 3
c. Describe the pattern. How does the cost per movie change as you buy more movies?
The pattern is that for each input
increase
of
1
, the output
increases
by $1,2,3,4,6,12
less than the previous increase. For each additional movie you buy, your cost per movie
decreases
by $1,2,3,4,6,12
how much did the output increase in dollars and how much did the movie decrease
Answers
A relation may or may not represent a function.
The relation of the movie and its costs is a function.The pattern is that, as unit cost of each movie decreases as the number of movies increases.The costs are given as:
1 movie costs $102 movies cost $183 movies cost $244 movies cost $28(a) The mapping diagram
To do this, we simply point the number of movies, to the corresponding costs, using arrows
See attachment for the mapping diagram.
(b) Is the relation a function
From the attached mapping, we can see that:
The costs of each movie are different.
This means that: the relation is a function.
(c) Describe the pattern
Notice that as the number of movies increases, the cost also increases;
However, the unit cost decreases.
Hence, the unit cost of each movie decreases as the number of movies increases.
Read more about mappings, functions and relations at:
https://brainly.com/question/8892191
Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?
Answers
The length of the vegetable garden is 11.7 ft.
The dimension of the garden are 3 section long and 2 section wide.
let
each section length = x
Therefore,
length of garden = 3x
width of garden = 2x
Area of the vegetable garden = 91.26 ft²
3x(2x) = 91.26 ft²
6x² = 91.26
x² = 91.26 / 6
x² = 15.21
x = √15.21
x = 3.9
length of the vegetable garden = 3(3.9) = 11.7 ft
read more: https://brainly.com/question/13028967?referrer=searchResults
a cyclic quadrilateral is shown x : y = 3 : 7
work out the size of angle z
Answers
Answer:
116
Step-by-step explanation:
this is the correct answer
Factor x^2+5x+2 trinomial
Answers
Answer:
You cannot factor this.
Step-by-step explanation:
Nothing can multiply, to equal 2 and add up to 5.
Find two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum.
Answers
The two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16
Let the two variables be x and y
If the product of the numbers is 300, hence
xy = 300
x = 300/y ........ 1
If the sum of the first and four times the second is a minimum, then;
P(x, y) = x + 4y .................. 2
Substitute equation 1 into equation 2:
P(x, y) = x + 4y
P(y) = 300/y + 4y
If this function is at mimimum, hence dP/dy = 0
dP/dy = -300/y² + 4 = 0
-300/y² + 4 = 0
-300 + 4y² = 0
4y² = 300
y² = 300/4
y²= 75
y = 7.66
Since xy = 300
x = 300/7.66
x = 39.16
Hence the two positive numbers whose product is 300 and such that the sum of the first and four times the second is a minimum are 7.66 and 39.16
Learn more here: https://brainly.com/question/19531412
In parallelogram HJKL if JM=19 find ML.
Answers
Answer:
19
Step-by-step explanation:
in any parallelogram the diagonals bisect each other evenly. that means if JM = 19, ML is also 19. hope this helps
d = 10.2 ft, r = 0.5 ft/h
Answers
Answer:
20.4
Step-by-step explanation:
If you are using D = r × t
10.2 = 0.5(t)
10.2/0.5 = t
20.4 = t
Answer:
20.4
Step-by-step explanation:
Write each number as a logarithm with base 3.
The answers has to be in this form: log .....
3
A) 0
B) -2
C) 4
Please answer. Correct answer gets BRAINLIEST ! Please don't ignore this.
Answers
log3(x)=-2 so 3^-2=x which is 1/9
log3(x)=4 so 3^4=x which is 81
This is possibly the answer
Multiply.
(−3 6/7)⋅(−3 1/3)
What is the product?
Enter your answer as a simplified mixed number in the box.
Answers
9514 1404 393
Answer:
12 6/7
Step-by-step explanation:
The product of two negative numbers is positive, so we can ignore the signs.
(3 6/7)(3 1/3) = (3)(3) +(3)(1/3) +(6/7)(3) +(6/7)(1/3)
= 9 + 1 + 18/7 + 2/7
= 10 + 2 4/7 + 2/7
= 12 6/7
Which of the following points lie on a line that passes through the origin with a slope of −2/5? Select all that apply.
A)
(0, 0)
B)
(1, −25)
C)
(−2, 5)
D)
(−1, 25)
E)
(4, 10)
F)
(−5, 2)
Answers
Answer:
a f
Step-by-step explanation:
(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the points lie on a line that passes through the origin with a slope of −2/5
The line passes through (0, 0) and (x, y) form a slope of -2/5
-2/5=y/x
So y is 2 and x is 5.
Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5
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Solve the following system of equations:y=x2−4x+3 y=2x−2
Answers
[tex]y = 2x -2 ~~~~.....(i) \\\\y = x^2 -4 x +3 ~~~~ .....(ii) \\\\\\x^2-4x +3 = 2x -2\\\\\implies x^2 -4x -2x +3 +2 =0\\\\\implies x^2 -6x +5 =0\\\\\implies x^2 -5x -x +5 =0\\\\\implies x(x-5) -(x-5) =0\\\\\implies(x-5)(x-1) =0\\\\\implies x = 5 ~~ \text{or}~~ x = 1 \\\\\\\text{Substitute x = 1 in equation (i):}\\\\y = 2 -2 =0\\\\ \text{Substitute x = 5 in equation (i):}\\\\\\y = 2(5) -2 = 10 -2 =8 \\\\\text{Hence,}~~ (x,y) = (1,0) ~ \text{and} ~ (x,y) = (5,8)[/tex]
Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0
Answers
Answer:
In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.
From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.
The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.
Number crunching done, the maximum is at (4,2)
Hello, can anyone help with this question?
Answers
Answer:
C. x-intercepts (1, 0) and (3, 0); y-intercept -3; vertex (2, 1)
Step-by-step explanation:
You are given y = -x² +4x -3.
For quadratic y = ax² +bx +c, the sum of the x-intercepts is -b/a, and their product is c/a. Here, that means the sum of the x-intercepts must be -4/(-1) = 4. That eliminates choice A.
The y-intercept is the constant (c), so is -3. That eliminates choice D.
The x-coordinate of the vertex is -b/(2a), which is half the sum of the x-intercepts. Here, that is 4/2 = 2. That eliminates choice B.
The only remaining answer choice is the correct one: choice C.
Simplify the expression. n+3(n−1)
Answers
Answer:
4n - 3
Step-by-step explanation:
[tex]n+3(n-1)\\n+3n-3\\4n-3[/tex]
Determine if the given set of equations has 1 solution, no solution or infinitely many solutions. Include your reasoning for your answer.
y−2x=2
4y−8x=8
Answers
because it simplifies to y=2x+2 which is one solution
4y-8x=8 has one solution
because it simplifies to y=2x+2 which is one solution
hope this helps
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
y - 2x = 24y - 8x = 8Divide both sides of the second equation:
4y/4 - 8x/4 = 8/4y - 2x = 2We got both equations same.
It means the lines representing the equations overlap, the system has infinitely many solutions.
A bag of sugar weighs 6²/⁵. What is the weight of 6¹/⁴ of such bag?
How many two thirds are there in 4¹/³?
Answers
Answer:
6 and a half 2 thirds are in 4 1/3
Step-by-step explanation:
2/3x=13/3
2x=13
x=6.5
Let F(x) =( 3x/2) - (14/3) for x = 4. What is the value for F(x)
Answers
Answer:
f(4) = 1.4
Step-by-step explanation:
f(x) = (3x/2) - (14/3)
We are given that x = 4
f(4) = (3(4)/2) - (14/3)
f(4) = (12/2) - (14/3)
f(4) = 6 - (14/3)
14/3 as a decimal is 4.6
f(4) = 6 - 4.6
f(4) = 1.4 (approximately)
A number, n, is divided by -1/3. The product is 6/5 what is the value of n?
Answers
Steps are attached.
Answer =》n = -2/5 = -0.4
______
RainbowSalt2222 ☔
how do you solve 15 divided by 2/9
Answers
Answer:
67.5 or 67 1/2
Step-by-step explanation:
15 ÷ 2
___________
9
The numbers in 15 divided by 2/9 are labeled below:
15 = whole number
2 = numerator
9 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
15 x 9 2 = 135
____
2
Thus, the answer to 15 divided by 2/9 in fraction form is:
135
_____
2
To make the answer to 15 divided by 2/9 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
135 / 2 = 67.5
The answer is rounded to the nearest two decimal points if necessary.
135/2 is an improper fraction and should be written as 67.5 or 67 1/2.
Hope this helps, have a nice day/night! :D
Answer:
67.5
Step-by-step explanation:
15 = 135/9
135/9 x 9/2 = 15 x 4.5 = 67.5
9/2 = 4.5
Brainliest?
it is predicted that by 2050 there will be 10^10 people living on earth. approximatrly will be 10^12 trees. how many trees for each person?
Answers
Interesting question. Does that mean near the end of humanity?
Solution 1:
10^10 = 1,000,000,000
10^12 = 100,000,000,000
100,000,000,000/1,000,000,000 = 100 trees per person
Solution 2:
10^12 / 10^10 --- 10^10 / 10^10
10^2/1 = 10^2 = 100 trees per person
Gretchen bought her 3 daughters a 27-page sticker book. She split the pages equally among the girls. If each page had 24 stickers, how many sticker did each girl get?
Answers
Answer: the daughters got 216 stickers each
Step-by-step explanation:
27 times 24 is 648
648 devided by 3 is 216
so therefore your answer would be 216
hope this helps
100 POINT QUESTION!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 7x2 – 3x – 10 = 0 using the quadratic formula.
Question 15 options:
A)
x = –2, 20∕7
B)
x = 20, –14
C)
image
D)
x = –1, 10∕7
Answers
Answer: D is my best guess
Step-by-step explanation:
A family gathered 20 small sea shells from the beach brining the total number of small seashells in their collection to 41.
Which equation can be used to find, x, the number of small sea shells in the collection before the 20 were added
A:. 20_x =41
B:. x- 21 =41
C:. x + 20 =41
D:. 20x=41
HELPPPP
EXCEPT PT TH 20_x UNDER EACHOTHER PLS
Answers
Answer:
C, x + 20 = 41
Step-by-step explanation:
X represents the number of small sea shells that we originally had. When the family adds 20 more shells, that makes x + 20. The total number is 41, so that means the number of sea shells they already had (x) plus the number of sea shells they collected (20) equals the number of shells they have now (41).