By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
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For a discrete random variable that takes a value of 8 with probability .75 and a value of -4 with probability of .25, what is the expected value and what is the variance
Answer:
5.20
Step-by-step explanation:
X : ______ 8 ____ - 4
P(X) : ___ 0.75 __ 0.25
The expected mean E(x) :
E(x) = ΣX / n
n = sample size = 2
E(x) = (8*0.75) + (-4*0.25)
E(x) = 6 - 1
E(x) = 5
The standard deviation : sqrt(Var(x))
Var(x) = Σx²p(x) - E(x)²
Var(x) = (8^2 * 0.75) + (-4^2 * 0.25)) - 5^2
Var(x) = ((64 * 0.75) + (16* 0.25)) - 25
Var(x) = (48 + 4) - 25
Var(X) = 27
Standard deviation = sqrt(27)
Standard deviation (x) = 5.1961524
Standard deviation = 5.20
STOP RIGHT THERE. Please help me.
Answer:
the answer is B
Step-by-step explanation:
Well we can get rid of A and D because we're not adding money, we're subtracting (thats what a sale is)
So we're left with B and C.
To find what 17% of 3 is, we multiply 3 x 0.17, which totals to 0.51. It can't be C because you find 51% of 3 which is not what we're looking for, so it is B.
12 – n = 23 help I don't get it
Answer:
n = -11
Step-by-step explanation:
Assuming you need to solve for n:
12 - n = 23 (Given)
-n = 11 (Subtract 12 on both sides)
n = -11 (Divide -1 on both sides)
Answer:
n = -11
Step-by-step explanation:
Since 2 negatives create a positive, 12 - -11 would turn into 12 + 11 = 23
10 points
What is the value of x in the figure
below?
(4x)
A.
x = 18
B. X= 22
C.
x = 30
D. x = 45
Pls help
Answer:
A
Step-by-step explanation:
I hope this helps and sorry if I'm wrong!
Is the following equation proportional or non-proportional?
y = -4x - 3
Answer:
proportional
Step-by-step explanation:
If you have a 10% off coupon and you buy a 20$ shirt how much you pay with the coupon?
Answer:
18.00$
Step-by-step explanation:
Answer:
$18.00
Step-by-step explanation:
Thus, a product that normally costs $20 with a 10 percent discount will cost you $18.00, and you saved $2.00. You can also calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $20 as follows: $20 x .10 = $2.00 savings. Furthermore, you can get the final price by simply deducting .10 from 1 and multiplying it by $20 as follows: (1 - .10) x $20 = $18.00 final price.
3000-{ ( 3848 : 74 + 23 x 12 ) x 8 } - ( 125 x 14 : 10 ) =
Answer:
2739
Step-by-step explanation:
3000-(52+276:8)-(1750:10)
3000-(52+34)-175
3000-86-175=2739
If each of the following represents the slope of a line (or line segment), give the slope a line that is perpendicular to it. (a) 4 3 m (b) 3 7 m ( c )4 m (d) 1 3
Answer:
[tex]m_2 = -\frac{3}{4}[/tex] -- (a)
[tex]m_2 = -\frac{7}{3}[/tex] -- (b)
[tex]m_2 = -\frac{1}{4}[/tex] --- (c)
[tex]m_2 = -3[/tex] -- (d)
Step-by-step explanation:
Given
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]c.\ m = 4[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
Required
Determine the slope of a perpendicular line
In geometry, the condition for perpendicularity is:
[tex]m_2 = -\frac{1}{m}[/tex]
This formula will be applied in solving these questions.
[tex]a.\ m = \frac{4}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4/3 for m
[tex]m_2 = -\frac{1}{4/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{4}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{4}[/tex]
[tex]m_2 = -\frac{3}{4}[/tex]
[tex]b.\ m = \frac{3}{7}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 3/7 for m
[tex]m_2 = -\frac{1}{3/7}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{3}{7}[/tex]
Convert to *
[tex]m_2 = -1* \frac{7}{3}[/tex]
[tex]m_2 = -\frac{7}{3}[/tex]
[tex]c.\ m = 4[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
[tex]d.\ m = \frac{1}{3}[/tex]
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 1/3 for m
[tex]m_2 = -\frac{1}{1/3}[/tex]
Express as a proper division
[tex]m_2 = -1/ \frac{1}{3}[/tex]
Convert to *
[tex]m_2 = -1* \frac{3}{1}[/tex]
[tex]m_2 = -\frac{3}{1}[/tex]
[tex]m_2 = -3[/tex]
A total of 633 tickets were sold for the school play. They were either adult tickets or student tickets. There were 67 fewer student tickets sold then adult tickets. How many tickets were sold?
Answer:
x+x-63=637 solve for x
2x=700 divide each side by 2
x=350
so 350 adult and 350-63=287 student
your answe is
287
Which point is coplanar with C, F, and G in the diagram below?
1. H
2.E
3.B
4.D
Step-by-step explanation:
The only face of the cube that has all the points C, F and G is the face CFGD on the right facing outwards.
Hence point D must be coplanar as it is on the same face.
Point D is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
The rectangular prism is given in the picture.
The rectangular prism is a three-dimensional figure.
As we know, geometry can be defined as the branch of mathematics that is concerned with the size, shape, and orientation of two-dimensional figures.
The cuboid can be defined as a six-faced shape, a type of hexahedron in geometry. It is a three-dimensional shape.
Thus, point D is coplanar with C, F, and G in the diagram of rectangular prism option (4) D is correct.
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PLEASE ANSWER!!!!!!!!!!!!!!!!!!!
Answer:
answer attached
Step-by-step explanation:
PLEASE HELP zoom in to remove blur
Answer:
The answer is (x + 12) and (x - 12)
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
Is the following table proportional or non-proportional?
Answer:
proportional
Step-by-step explanation:
y= -7x
If 4 and 18 are the sides of a right triangle, what is the hypotenuse to the nearest tenth?
The length of a rectangle in terms of x is x + 8, and its width is 2x + 3. What is the perimeter of this rectangle?
Answer:
59
Step-by-step explanation:
value in a expansion is 5
expansion
simplistic form
Can someone help me please
Answer:
6x 2y
x = 4
Step-by-step explanation:
Answer:
f(x) = 5/3 x - 2/3
Step-by-step explanation:
5x - 3y = 2
3y = 5x -2
y = 5/3 x - 2/3
f(x) = 5/3 x - 2/3
A teacher grades 27 tests in 3 hours Find the constant of variation
Answer:
9Step-by-step explanation:
Step one:
given
Let the number of tests graded be g = 27
time taken t = 3 hours
Required
The constant relating the time and the number of tests
Step two:
"The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another."
so that the direct variation is
g∝kt
g=t/k
k= g/t
k=27/3
k=9
Answer:
9
Step-by-step explanation:
Since you know that there are 27 tests every three hours then you can divide 27 by 3 to get the constant variation or "test per hour". So then, 27 divided by 3 is 9.
Fill in the blanks to tell how the point of view in this part of the passage is different from the point of view in the making of a mountain 
Answer:
important and agree,
Step-by-step explanation:
I did this
Answer:
important and agrees with.
Step-by-step explanation:
(no reporting this.)
hope this helps!
A standard train ticket in a certain city costs $1.50 per ride. People who use the train also have the option of purchasing a frequent rider pass for $17.25 per month. With the pass, a ticket costs only $0.75 per ride. How many train rides a month make the frequent rider pass a better deal than standard train tickets?
Just off the bat 17$is 12 rides and then 17.25 +0.75 is 18 so 13 rides
Is this a function? Explain with full sentence
[(2,3) (2,4) (2,5) (2,3)]
Answer:
no their is not supposed to be any repeating x's
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
For a submarine cable, the range of signalling is governed by the function
f(r) = r^2 ln(1/r)
where 0
Find df/dr.
Answer:
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Step-by-step explanation:
Explanation
Given function f(r) = r² log r ....(i)
Apply derivatives formula
[tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]
[tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]
[tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]
Differentiating equation (i) with respective to 'r' , we get
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]
[tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]
Final answer:-
[tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]
Which equation represents the relationship between the x-and y-values shown in the table?
2x - 2 = 3x - x - 2 solve for x
Answer:
i think x=0
Step-by-step explanation:
2x-2=2x-2
2x=2x
x=0
Answer:
NAN
Step-by-step explanation:
x + 2 = 3x - x^2 Simplifying x + 2 = 3x + -1x2 Reorder the terms: 2 + x = 3x + -1x2 Solving 2 + x = 3x + -1x2 Solving for variable 'x'. Combine like terms: x + -3x = -2x 2 + -2x + x2 = 3x + -1x2 + -3x + x2 Reorder the terms: 2 + -2x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 2 + -2x + x2 = 0 + -1x2 + x2 2 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2x + x2 = 0 + -2 -2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2x + x2 = -2 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -2 + 1 Reorder the terms: 1 + -2x + x2 = -2 + 1 Combine like terms: -2 + 1 = -1 1 + -2x + x2 = -1 Factor a perfect square on the left side: (x + -1)(x + -1) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)
Answer:
8640 waysStep-by-step explanation:
Arranging the books of each subject:
Math:
Combination of 2 books → 2! = 2Physics:
Combination of 3 books → 3! = 6Chemistry:
Combination of 5 books → 5! = 120We also need to consider the subjects.
There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways
So the total number of combinations is:
2*6*120*6 = 8640Answer:
2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) waysHence, total ways are (2×6×120×6) ways =8640 ways.
8640 is the right answer.
Write 89 tenths in standard form *
89 tenths......................
Answer:
.89
Step-by-step explanation:
Standard for is just the number version. Word for is it spelled out, eighty-nine tenths.
Find f(-2) if f(x) = x + x + 7. f(-2) =
Answer:
f(-2) = 9
Step-by-step explanation:
Given that,
f(x) = x² + x + 7
We need to find the value of f(-2).
Put x = -2 in the given function.
f(-2) = (-2)² + (-2) + 7
= 4-2+7
= 9
Hence, the value of f(-2) is equal to 9.
What is the common factor of 26 and 38
Answer: The GCF is 2 and the LCF is 1
Step-by-step explanation:
I need help which point at the origin
Answer:
A
Step-by-step explanation:
2
Which list orders integers from least to greatest?
A.
-2, -4, -5, 7, 3
B.
-2, -4, -5, 3, 7
C.
-5, -4, -2, 3, 7
D.
-5, -4, -2, 7, 3