Answer:
inverse: f-(x)=x+3/5
Step-by-step explanation:
Set f(x)=x and x=y
x=y-3/5
isolate y by adding 3/5 to both sides
x+3/5=y
this is the inverse :)
Yesterday, Janie walked 3
5
mile to a friend’s house, 1
4
mile to the store, and 3
8
mile to another friend’s house. Which is the best estimate of the distance Janie walked?
Three-fourthsmile
1 mile
1 and one-fourthmiles
2 miles
Answer:
1 and one-fourthmiles
Step-by-step explanation:
Answer:
C. 1 1/4
Step-by-step explanation:
i did the question
Without solving, determine the number of
solutions to 3x2 + 5x + 2 = -8. Show your work.
Answer:
2 solutions for this equation because the highest power is 2
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A parabola has a vertex at (0,0). The focus of the parabola is located at (4,0).
What is the equation of the directrix?
x=−4
y=−4
x=4
y=4
I need help again plz
What is the ans of this?
Step-by-step explanation:
everything can be found in the picture
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two pink
marbles if the first one is NOT placed back
into
the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
Answer:
[tex]Pr = \frac{1}{45}[/tex]
Step-by-step explanation:
Given
[tex]Black =5[/tex]
[tex]Pink = 2[/tex]
[tex]Blue = 3[/tex]
Required
[tex]P(Pink\ and\ Pink)[/tex]
This is calculated as:
[tex]Pr = P(Pink) * P(Pink)[/tex]
Because it is a selection without replacement, the probability is:
[tex]Pr = \frac{n(Pink)}{Total} * \frac{n(Pink) - 1}{Total - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{2 - 1}{10 - 1}[/tex]
[tex]Pr = \frac{2}{10} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{5} * \frac{1}{9}[/tex]
[tex]Pr = \frac{1}{45}[/tex]
what is the surface area of the cylinder with the hight of 8 ft and the radius of 6 ft? round your answer to the nearest thousandths
Answer:
A = 301.593 ft^2
Step-by-step explanation:
The lateral area of a cylinder of radius r and height h is
A = 2πrh. This does not include the areas of the ends of the cylinder.
Here that area is A = 2(3.14159)(6 ft)(8 ft), or
A = 301.593 ft^2
PLS HELP FAST
Find the product of zeroes of the quadratic polynomial
[tex] {2x}^{2} – 13x + 15[/tex]
Step-by-step explanation:
[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]
The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.
Answer:
S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )
Step-by-step explanation:
coordinate of x is (-2 , 6)
scale factor to transform the triangle is 3/2
so to find S' use this scale factor
formula :
(x , y) = (kx , ky) (k means scale factor)
S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)
S'(-3 , 9)
now to find S'' again use the same formula
(x , y ) = (kx , ky)
this time take S' and to find S'' use 1/2 as scale factor
S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)
S''(-3/2 , 9/2)
The transformation is S'' = (-3/2, 9/2). The correct option is A.
Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.
The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.
The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.
formula :
(x , y) = (kx, ky) (k means scale factor)
S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)
S'(-3 , 9)
Now to find S'' again use the same formula:
(x , y ) = (kx, ky)
this time take S' and to find S'' use 1/2 as the scale factor.
S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)
S''(-3/2 , 9/2)
To know more about scale factors follow
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SOMEONE HELP ME ASAP IM STRESSING OUT
Answer:
Use SOHCAHTOA
Step-by-step explanation:
If you don't know what this is, it means Sin=opposite/hypotenuse, cos=adjacent/hypotenuse, tan=opposite/adjacent. There is more than 1 way to solve this, but here's how I did it.
Starting with part A, we are trying to find the hypotenuse of the triangle. We have an angle and the side opposite of that angle, so we can use the sin function.
Sin(54) = 12.2 / hypotenuse
Sin(54) * hypotenuse = 12.2
Hypotenuse = 12.2 / sin(54) = 15.1
Now for Part B
Finding the last angle
180-90-54=36
So now, we have this angle and the side adjacent to it. We are trying to find the opposite side, so let's use the tan function
Tan(36) = opp / 12.2
opp = tan(36) * 12.2 = 8.9
You can double check these answers using pythagorean theorem. Hope this helps
A survey was done to determine the relationship between gender and subject preference. A total of
56 students were surveyed to determine if they liked math, English, social studies, or science as their
favorite subject. The results were then broken down based on whether the respondent was male or
female.
The question is incomplete. The complete question is :
A survey was done to determine the relationship between gender and subject preference. A total of 56 students were surveyed to determine if they liked math, English, social studies, or science as their favorite subject. The results were then broken down based on whether the respondent was male or female.
Which of the following is the closest to the joint relative frequency of being a male who likes social studies ?
Solution :
A two way table used in statistics and mathematics is used to show the frequencies or the relative frequencies for any two categorical variables. One of the category is represented by the rows while the other categories by a column.
Here, in this table it is given that the total surveyed = 56 students
From the table, we know that number of males who likes social studies = 8
Therefore, the closest to the joint relative frequency for being a male who likes the subject social studies is given by :
[tex]$=\frac{8}{56}$[/tex]
[tex]$=\frac{1}{7}$[/tex]
=0.14
A rectangle has a perimeter of `52` cm. Its width is `9` cm.
what is the length of the rectangle?
what is logarithm in mathematics
Answer:
Logarithm, the exponent or power to which a base must be raised to yield a given number.
A writer was paid $4,000 for a 2,000-word article.
How much is that per word?
Answer:
$2 per word
Step-by-step explanation:
8(2x + 3y)
In distributive property
Answer:
16x+24y
Step-by-step explanation:
8(2x+3y)
8*2x+8*3y
16x+24y
Solve for n.
11(n – 1) + 35 = 3n
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
Distribute
11n -11 +35 = 3n
Combine like terms
11n +24 = 3n
Subtract 11n from each side
11n+24 -11n = 3n -11n
24 = -8n
Divide by -8
24/-8 = -8n=-8
-3 =n
Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA
Answer:
D. ASA
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.
Answer:
However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.
Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.
Step-by-step explanation:
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100 %sure
i need the base and hight
Answer:
Height = 5 and Base = 10
Step-by-step explanation:
The base of the parallelogram is twice the perpendicular height of the parallelogram. The area of the parallelogram is 50 cm².
Formula for area of parallelogram = base × height
Base = 2h
Height = h
∴ Area = 2h × h = 50
Solution:
2h × h = 50
2h² = 50
[tex]\frac{2h^{2} }{2} = \frac{50}{2}[/tex]
h² = 25
[tex]\sqrt{h^{2} } = \sqrt{25}[/tex]
h = 5
∴ height = 5 and base = 2(5) = 10
Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
Answer: HI your question is incomplete/poorly attached below is the complete question
answer
( a + 3 ) , ( b + 2 )
Step-by-step explanation:
Given expression = ab + 2a + 3b + 6
factorizing the expression completely we will have
= a( b + 2 ) + 3 ( b + 2 )
hence the factors of the expression = ( a + 3 ) , ( b + 2 )
Kayla had m marbles. She gave 4 marbles to her cousin. Enter an expression to represent the number of marbles Kayla has now.
Answer:
[tex]m-4\\[/tex]
Step-by-step explanation:
[tex]m-4[/tex]
1/7 divided by 2/5 minus 1/7
Is -2 a solution to 4x^(3)-x^(2)+16x-4
Answer:
Not a solution
Step-by-step explanation:
In order for [tex]x=-2[/tex] to be a solution, the result after substituting must be 0:
[tex]4(-2)^3-(-2)^2+16(-2)-4\stackrel{?}{=}0[/tex]
[tex]4(-8)-4-32-4\stackrel{?}{=}0[/tex]
[tex]-32-40\stackrel{?}{=}0[/tex]
[tex]-72\neq0[/tex]
Therefore, [tex]x=-2[/tex] is not a solution to [tex]4x^3-x^2+16x-4[/tex]
Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.
Answer:
(F.g(x))=x^2-10x+24
Step-by-step explanation:
when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,
so f(x)=x^2-6x+8
and we will put x-2 which is g(x) in the place of every x
so f(g(x))=(x-2)^2-6(x-2)+8
so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8
which simplifies to f(g(x))=x^2-10x+24
Name the marked angle in 2 different ways.
Answer:
angle GIH
angle HIG
this is the answer
the average length of string a and string d is 10x cm . the average length of string b and string c is 8x cm . the average length of string b , c, d is 6x cm . find the length of string a is terms of x
Answer:
a= 18x
Step-by-step explanation:
(a+d)/2 = 10x (1)
(b +c)/2 = 8x (2)
(b+c+d)/3 = 6x (3)
From the equation 2, we have (b+c)= 8x *2 = 16x
From the equation 3, we have d= 6x*3 - (b+c)= 18x- 16x = 2x
From the equation 1, we have a= 10x*2 -d= 20x - 2x= 18x
Determine the location and values of the absolute maximum and absolute minimum of given function: f(x)= ( -x+2)^4, Where 0<=x<=3
Answer:
The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Step-by-step explanation:
First, we obtain the first and second derivatives of the function by chain rule and derivative for a power function, that is:
First derivative
[tex]f'(x) = -4\cdot (-x+2)^{3}[/tex]
Second derivative
[tex]f''(x) = 12\cdot (-x + 2)^{2}[/tex]
Then, we proceed to do the First and Second Derivative Tests:
First Derivative Test
[tex]-4\cdot (-x+2)^{3} = 0[/tex]
[tex]-x + 2 = 0[/tex]
[tex]x = 2[/tex]
Second Derivative Test
[tex]f''(2) = 12\cdot (-2+2)^{2}[/tex]
[tex]f''(2) = 0[/tex]
The Second Derivative Test is unable to determine the nature of the critical values.
Then, we plot the function with the help of a graphing tool. The absolute maximum and the absolute minimum are (0, 16) and (2, 0).
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval. What value of t* should Adam use to construct the confidence interval? Answer choices are rounded to the thousandths place
Answer:
The answer is "2.998".
Step-by-step explanation:
In the given question, the answer is "2.998" because the critical region value will be used to divide the value into two-part that is 0.01, in which each of the value that will have to see the values of the degree of freedom that is 7, in column 0.01, that is equal to 2.998.
Answer:
2.998
Step-by-step explanation:
Got it right on the test.
help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units
Answer:
BC= 5 units
Step-by-step explanation:
In parallelogram LMNP if PQ=21 find QM.
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
Which of the following is an irrational number?
√108 is an irrational number among following
Answer:
The first number
He second is a rational decimal number and the third equals to 8.