The value of the expression when x equals 12/7 is..
Answer:
x = 82
Step-by-step explanation:
1/3(12/7 + 9/7) + 3⁴ =
1/3(21/7) + 3⁴ =
1/3(3) + 3⁴ =
1 + 81 = 82
Worth 10 pts
Plssssssssssssssssss help
Will give brainliest
Answer: [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]
a = 2 and b = 1
=======================================================
Explanation:
Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root
[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]
In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2
-------------------
At this point, we equate the non-radical and radical terms to get this system of equations
[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]
The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)
Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.
We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).
If so, then we have these four possibilities
a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.
Let's assume that a = 1 and b = 2. If so, then,
2a^2+3b^2 = 2(1)^2+3(2)^2 = 14
but we want that result to be 11 instead.
Let's try a = 2 and b = 1
2a^2+3b^2 = 2(2)^2+3(1)^2 = 11
which works out perfectly.
Therefore,
[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]
---------------------------------
Checking the answer:
Use a calculator to find that
[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]
both have the same decimal approximation, so this is a fairly informal way to confirm the answer.
Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0
So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).
-36y= x^2
does the parabola open:
1. left
2.down
3.up
4.right
Answer:
3. first make Y the subject, then x^2 will become negative which will make the the parabola open up
Does this graph represent a function? Why or why not?
Answer:
B yes, because it pases the vertical line test
A rectangle has a length that is 8 less than it’s width w the perimeter is 52 which equation can be used to determine length
Answer:
width?
8-W-52
2(w-8) +2w=52
(W-8)+W=52
2(8-W) +2w=52
An object starts at position 12 on a horizontal line with a reference point of 0. What is the position of the object if it
moves 14 units to the left?
0-26
-2.
02
O 26
Answer:
The answer would be B
Answer:
-2
Step-by-step explanation:
We know that the object is at 12 on a horizontal line.
The horizontal line of a graph is the x axis, so lets think of 12 as 12x
On a graph, left is negative, and right is postive.
In this case we need to move 14x to the right, or -14x.
We start at 12x, so its going to be:
12x-14x=-2x
So -2 is the postition of the object on the x axis.
This is answer B.
Hope this helps!
Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true
Answer:
C. Only statements #1 & #3 are true.
Step-by-step explanation:
A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).
All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.
Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.
help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation
Answer:
graph "B"
at 0 graph = -1200 that is the production cost
Step-by-step explanation:
A group of students were surveyed to find out if they like playing tennis or volleyball in PE class. The results are shown in the table:
Complete the table and answer the following questions.
a. What percentage of the total students surveyed like both
Volleyball and Tennis?
b. What is the probability that a student who likes
Volleyball does not like Tennis?
Answer:
a) 41.666...%
b) 10/120 or 1/12
Step-by-step explanation:
50 students like volleyball and tennis out of 120 students surveyed. 50/120 as a percent is 41.6666666...%
10 students like volleyball but not tennis out of 120 students surveyed. 10/120 can also simplify to 1/12
:) ur welcome
please help me solve this problem one problem for 15 points
i didn't get it what is the question
Please help quickly!
Answer:
the answer is 2.8
Step-by-step explanation:
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Given:
[tex]\frac{3x}{5} -0.5=1.9[/tex]
Add 0.5 to both sides
[tex]\frac{3x}{5} =2.4[/tex]
Multiply 5 from both sides
[tex]3x=12[/tex]
Divide both sides by 3
[tex]x=4[/tex]
Hope this helps
Which function is positive for the entire interval [–3, –2]?
On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3).
On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5).
On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5).
On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Answer:
B
Step-by-step explanation:
Based on the given information, option 4 seems to be the most likely candidate to be positive for the entire interval [-3, -2]. Correct option is 4.
To determine which function is positive for the entire interval [-3, -2], we need to look for the part of the curve that lies above the x-axis within this interval.
The curve has a minimum value of (0, -3) and crosses the x-axis at (-3, 0) and (3, 0), which means it goes below the x-axis in the interval [-3, -2]. So, this option is not positive for the entire interval.
The curve has a minimum value of (2, -3) and crosses the x-axis at (-1, 0) and (5, 0). Since it crosses the x-axis at -1 which is outside the interval [-3, -2], this option is not positive for the entire interval.
The curve has a minimum value of (2, 4) and a maximum value of (0.5, 6). Since the minimum value is above the x-axis, this option is not positive for the entire interval.
The curve has a minimum value of (-1.75, -3.9) and a maximum value of (0, 2). It also crosses the x-axis at (-2.2, 0), (-0.75, 0), and (0.75, 0). Since the minimum value is above the x-axis, and all the points where it crosses the x-axis are outside the interval [-3, -2], this option could potentially be positive for the entire interval.
To know more about interval:
https://brainly.com/question/34520204
#SPJ3
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
pls help in this
7.6x5.2
Answer:
39.52
Step-by-step explanation:
Answer:
Table multiplication:
7.6 times
5.2 =
15.2
38.0
—-
39.52
Write an equation that PASSES THROUGH (3, -1) and is PARALELL to y = 6x - 4
show work
Answer:
y = 6x - 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x - 4 ← is in slope- intercept form
with slope m = 6
Parallel lines have equal slopes , then
y = 6x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 18 + c ⇒ c = - 1 - 18 = - 19
y = 6x - 19 ← equation of parallel line
What is the sum of the fractions? Use the number line to help find the answer.|
+
5
Answer:
-4/5
Step-by-step explanation:
If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)
Answer:
You subtract them:
3/5-7/5 (the plus disappears when faced with a minus)
-4/5
I’m begging you too pls pls pls pls help! I’d appreciate it so much. This is independent work and I have no clue of what this means so pls comment as fast as u can because according to my teacher this was supposed to be due yesterday and I’m just doing it today. Pls help thank you so so so much! Pls don’t waste time thanks again!
1) 1 hour and 15 minutes
2) 4:07
3) 30 minutes
4) 8:35
9) 1 hour and 53 minutes
10) 4:17
11) 2 hours and 52 minutes
12) 3:35
13) 9:55
14) 8:10
15) 1 hour and 45 minutes
16) 3:05
17) 6:48
18) 9:45
19) 1 hour and 25 minutes
20) 2 hours and 45 minutes
Brainliest would be appreciated :)
is (6,3) a solution to this system of equations y=3x - 3 3x - y =3
Answer:
It is not a solution
Step-by-step explanation:
Plug the point into the equations and check to see if they are true
y=3x - 3
3 = 3(6) -3
3 = 18-3
3 = 15
False
We do not need to check the other equation since this is false
pls help me solve pls show how you got the answer
Step-by-step explanation:
(-13) + 7 – (-2) + (-6) + ( ) = 0
Let the unknown be "y"
-13 + 7 + 2 - 6 + y = 0
-10 + y = 0
y=10.
The missing Number is 10.
Verify
-13 +7 + 2 -6 + 10 = 0.
Answer:
10
Step-by-step explanation:
please give answer of 6 number
Answer:
[tex]7,500[/tex]
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be [tex]x[/tex].
We have the following proportion:
[tex]\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000[/tex]
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be [tex]y[/tex].
We have:
[tex]\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}[/tex]
Therefore, there were 7,500 books in 2013.
Answer:
7,500 books
Step-by-step explanation:
the perimetee are 81cm and the ratio sides are 2:3:4 find the area of triangle
Answer: 18,27,36
Step-by-step explanation: We have to add all the ratios to get 9 and then divide 81 by 9 and get 9. The multiple 2, 3 and 4 by 9 getting 18, 27 and 36 respectively.
if 52% = 2600 what would 100% be
Answer:
5000
Step-by-step explanation:
[tex] \frac{52}{100} = \frac{2600}{x} \\ x = 5000[/tex]
PLEASE HELP, WILL GIVE BRAINLIEST FOR RIGHT ANSWER!
Indicate the equation of the given line in standard form, writing the answer in the equation box below.
The line that contains the point Q (1, -2) and is parallel to the line whose equation is
y − 4 = 2/3 ( x − 3)
Answer:
my previous account deleted...how r u sadie??
what is the nth term of 1/3 4/7 7/11 2/3
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
What decimal is equivalent to 1/8
Answer:
0.125
Step-by-step explanation:
Becuase math
the
al speed
the time.
Sundeep travels by train to a meeting in Barcelona.
Barcelona is 270 km from where he lives. He catches the train
at 9:45 a.m. The train travels at an average speed of 120 km/h.
At what time will the train arrive in Barcelona?
Answer:
Sundeep will arrive in Barcelona at 12pm
What is 2x/3 - 4 =x ?
Step-by-step explanation:
2x/3 -4 = x
multiply both side by 3
2x - 12 = 3x
-x = 12
x = -12
HELP PLZ
Does the Graph Represent A Function? Why Or Why Not?
Answer:
C
Step-by-step explanation:
Answer:
hi its c because its not a traight line
Step-by-step explanation:
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
Answer:
C. Yes, 3.5.
Step-by-step explanation:
If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:
[tex]k = \frac{y}{x}[/tex] (1)
Where:
[tex]x[/tex] - Input.
[tex]y[/tex] - Output.
If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:
[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]
[tex]k_{1} = \frac{45.5}{13}[/tex]
[tex]k_{1} = \frac{7}{2}[/tex]
[tex]k_{2} = \frac{y_2}{x_2}[/tex]
[tex]k_{2} = \frac{49}{14}[/tex]
[tex]k_{2} = \frac{7}{2}[/tex]
[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]
[tex]k_{3} = \frac{52.5}{15}[/tex]
[tex]k_{3} = \frac{7}{2}[/tex]
Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.
The formula for the nth term of a sequence is 3n +7
What is the 6th term in the sequence?
Answer:
6th term = 25
Step-by-step explanation:
3n + 7
3 x (6) + 7
18 + 7 = 25
If this helps you, please mark brainliest!
Have a nice day!
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex] Tn_{n} = 3n + 7 \\Tn _{6} = 3 n + 7 \\ = 3 \times 6 + 7 \\ = 18 + 7 \\ = 25[/tex]
Hope this helps you
Have a nice day!
