Answer:
1/2
Step-by-step explanation:
Let the two numbers be [tex]a[/tex] and [tex]b.[/tex]
We already know that [tex]a\neq 0[/tex] and [tex]b\neq 0[/tex].
Write an equation:
[tex]ab=2(a+b)[/tex]
The product (ab) is equal to twice the sum (2(a+b)).
Now, write an equation for the sum of their reciprocals:
[tex]S=\frac{1}{a}+\frac{1}{b} =\frac{a+b}{ab}[/tex].
Rewrite the denominator:
[tex]=\frac{a+b}{2(a+b)} =1/2[/tex]
[tex]S=\frac{1}{a}+\frac{1}{b}=1/2[/tex]
Answer:
1/2
Step-by-step explanation:
What is the completely simplified equivalent of 2 over 5+i? the 'i' is 1! thx for the help!
Answer:
1/3 ≅ .33333
Step-by-step explanation:
If 'i' is 1, then 5+i is 6. 2 over 6 is 1 over 3. (2/6 = 1/3) 1 over 3 is also .3333... forever repeating.
Hope this helps!
What is 131x682 can anyone tell me the step of doing it I don’t know how to
Answer:
91232
Step-by-step explanation:
Using the following parent function, please explain how each variable transforms the parent
function. Make sure to discuss all transformations using complete sentences.
f(x)= a(b(g(x)+c))+d
Answer:
a is a dilation in the y axis by a factor of a, b is dilation in the x axis by a factor of 1/b, + c is a translation c units to the left and d is a translation d units up.
Step-by-step explanation:
Of the following statements, which one or ones describe actions helpful to your credit score?
I. Quickly paying off debts
II. Having recent debts
III. Having long-standing lines of credit
a. I only
b. II and III
C. I and III
d. III only
Please select the best answer from the choices provided
A
B
Answer:
I’m going to say C in order to improve you have to pay off debts
Step-by-step explanation:
The Credit Score helps us to
Quickly paying off debts and Having long-standing lines of credit.
What is Credit Score?Based on information from your credit reports, a credit score predicts your credit behavior, such as how likely you are to repay a loan on time.
This is determined by the total amount you owe, the variety and quantity of accounts you have, and the ratio of your debt to your available credit.
Given:
As, Smaller amounts may boost your credit score if you make on-time payments, but larger balances and maxed-out credit cards will lower it.
So, Credit Score usually used to pay the debts.
But the debts are bad for credit.
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3 pumps, working 8 hours a day, can empty a tank in 2 days. How many hours a day must 4 pumps work to empty the tank in 1 day?
a) 8
b) 9
c) 10
d) 11
e) 12
In my view option D but it can be wrong
these tables of values represent continuous functions. for which function will the y-value be the greatest for very large values of x
Answer:
Option A.
Step-by-step explanation:
We need to find a table for which the y-value will be the greatest for very large values of x.
From the given table it is clear that the largest value of x in all tables is 5.
In table A, y=64 at x=5.
In table B, y=32 at x=5.
In table C, y=40 at x=5.
In table D, y=13 at x=5.
It is clear that 64 is the greatest value among 64, 32, 40 and 13.
It means table in option A represents the function for which the y-value will be the greatest for very large values of x.
Therefore, the correct option is A.
Answer:
Option A
Step-by-step explanation:
Took the quiz
Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast. She plotted the data on the line plot shown below
Answer: The answer is 7 3/4 :)) <3 have a good day.
The amount of juice left by the three students is (31/4) ounces.
What is dot plot?A dot plot, also called a dot chart, is a type of simple histogram-like chart used in statistics for relatively small data sets where values fall into a number of discrete bins.
Given is that Ms. White measured the number of the ounces of juice left behind by 3 students after breakfast.
The total juice left by 3 students is equivalent to -
{x] = 2 x {2[tex]\frac{1}{4}[/tex]} + 3[tex]\frac{1}{4}[/tex]
{x} = 2 x 9/4 + 13/4
{x} = 18/4 + 13/4
{x} = 31/4
Therefore, the amount of juice left by the three students is (31/4) ounces.
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WIL GIVE BRAINLIEST IF ANSWER FAST! Evaluate the expression 7x2y, when x = 4 and y = 2. 112 224 542 718
Answer:
224
Step-by-step explanation:
Substitute x = 4 and y = 2 into the expression and evaluate
7x²y = 7 × 4² × 2 = 7 × 16 × 2 = 7 × 32 = 224.
Hope this helped you!
Find the area of the shaded polygons:
Answer:
6.5 square units
Step-by-step explanation:
There are MANY ways to do this problem, most of them involving breaking it into 3 or four shapes. But this one is easier if you do most of it by taking out the squares and half squares.
Squares - 3
Half squares - 4 (totals 2 squares)
Triangle - 1 - 1/2bh = 1/2x1x3 = 1.5
TOTAL = 3+2+1.5=6.5
Answer:
6 sq. un
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality -44 > -2x - 82-8?
0-2x - 8 >-44 and -2x - 82-8
O-2x > -44 and -8-8
0-2x - 8<-44 and -2x -85-8
0-2x -8<-44 and -2x - 82-8
I NEED HELP ASAP
Answer:
(d) -2x -8 < -44 and -2x -8 ≥ -8
Step-by-step explanation:
A compound inequality is a mathematical sentence that combines two simple inequalities. A solution will satisfy both inequalities. That is, it represents an "and" (intersection) condition for the solution sets.
Equivalent pairAn inequality of the form ...
a > b ≥ c
can be written as a pair of inequalities by considering what is on either side of each of the relation symbols:
left symbol: a > bright symbol: b ≥ cApplicationGiven: -44 > -2x -8 ≥ -8
We can decompose the given inequality into the system ...
-44 > -2x -8 . . . . . . . . left symbol-2x -8 ≥ -8 . . . . . . . . . right symbolWhen we compare these to the offered answer choices, we see that we need to rewrite the first inequality so the constant is on the right:
-2x -8 < -44
Then the equivalent form of the given inequality is ...
-2x -8 < -44 and -2x -8 ≥ -8
__
Additional comment
The transitive property of inequality means that ...
a > b ≥ c
implies that a > c.
You will notice that our given inequality, written in this way, becomes ...
-44 > -8 . . . . . . not true
This means the inequality has no solution. (The solution set is the empty set.)
Given the function f(x) = | -2x + 4 |. Complete the table.
-the table is in the picture provided help me complete it please (algebra 1)
Answer:
See below.
Step-by-step explanation:
To complete the table, start by copying the given function.
f(x) = |-2x + 4|
Now let's start with the first line of the table: x = 6.
You are finding the value of function f when x = 6.
Replace x with 6 and evaluate the expression.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
Second line of table:
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
For the third and fourth lines, you are given a y value, or the value of function f, and you are looking for x. Now you use the given value to set the function equal to, and you solve for x.
Line 3: f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
The table looks like this:
x f(x)
6 8
-1 6
0,4 4
-5, 9 14
[tex] \end{center} [/tex]
For the given function f(x) = | -2x + 4 |, the data is shown in the table below.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that the function is, f(x) = | -2x + 4
Let's begin with the table's first line: x = 6, When x equals 6, you are determining the value of function f. Evaluate the equation after substituting 6 for x.
f(6) = |-2(6) + 4|
f(6) = |-12 + 4|
f(6) = |-8|
f(6) = 8
For the Second line of the table,
x = -1
f(x) = |-2x + 4|
f(-1) = |-2(-1) + 4|
f(-1) = |2 + 4|
f(-1) = |6|
f(-1) = 6
The third line of the table,
f(x) = 4
f(x) = |-2x + 4|
|-2x + 4| = 4
-2x + 4 = 4 or -2x + 4 = -4
-2x = 0 or -2x = -8
x = 0 or x = 4
Line 4: f(x) = 14
f(x) = |-2x + 4|
|-2x + 4| = 14
-2x + 4 = 14 or -2x + 4 = -14
-2x = 10 or -2x = -18
x = -5 or x = 9
Thus, for the given function f(x) = | -2x + 4 |, the data is shown in the table below.
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Find the missing side lengths. Answers are in simplest radical form with the denominator rationalized.
Answer: D
Step-by-step explanation:
y=4√2
This triangle is isosceles. Thus, two of the legs are congruent by A.S. Thm
D is the only choice with y = 4√2.
If two similar cones have volumes of 320 cm³ and 1,080 cm³, find the scale factor.
A. 1/3
B. 2/3
C. 3/4
D. 7/8
Answer:
B. 2/3
Step-by-step explanation:
Which of the lines in the picture are lines of symmetry of the given figure? Please explain!
Answer:
n,r,t
Step-by-step explanation:
The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. As you can see above the lines n,r,t are the only lines that give identical halves of the figure
What is the linear function defines the following Arithmetic Sequence? -5, -3, -1, 1, 3, ...
a. an = -5 + 2(n - 1)
b. an = -5 - 2(n - 1)
c. an = 5 - 2(n - 1)
d. an = 5 + 2(n - 1)
Answer:
an = -5 + 2( n-1)
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+ d ( n-1)
where a1 is the first term and d is the common difference
a1 = -5 since it is the first term in the sequence
d = term 2 minus term1
= -3 - (-5)
= -3+5 = 2
an = -5 + 2( n-1)
Please help :) is the relationship linear, if so model the data with and equation.
Answer:
pretty sure it's A
Step-by-step explanation:
The problems don't add up so I'd say it's linear (you probably shouldn't take my advice I'm as bad at math as you are-)
Answer:
C. y + 4 = -1/2 (x - 1)
Step-by-step explanation:
The x values go up by 6 units each step, 1, 7, 13, 19.
Start with 1 and add 6 to get 7, then add 6 to get 13, then add 6 to get 19.
For each corresponding step in x, y becomes 3 less.
Start with -4, then subtract 3 to get -7, subtract 3 to get -10, subtract 3 to get -13.
For every change of 6 in x, you get a change of -3 in y. This means a linear relationship.
To find the equation, we can use any two of the given points and the point-slope equation of a line.
y - y1 = m(x - x1)
m = slope = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line, and m = slope.
Let's use the points (x1, y1) = (1, -4) and (x2, y2) = (7, -7)
y - y1 = (y2 - y1)/(x2 - x1) * (x - x1)
y - (-4) = (-7 - (-4))/(7 - 1) * (x - 1)
y + 4 = (-7 + 4)/(6) * (x - 1)
y + 4 = (-3/6)(x - 1)
y + 4 = -1/2 (x - 1)
Twice the sum of two numbers is 72 if one number is 20 then the other number is_______
Answer:
16
Step-by-step explanation:
If you add 16 to 20 then you get 36. twice of 36 is 72
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9? 6 over 25 36 over 25 12 over 5 252 over 5
Answer:
i think it might be A
Step-by-step explanation:
Answer:
Its B trust and can you give me the brainlist
Step-by-step explanation:
PLLZZZZZZZ HELP I WILLL GIVE BRAINLIEST TO THE FIRST ONE TO ANSWER
Answer:
positive
Step-by-step explanation:
Someone please help me it’s 20 points please help!!!
Answer:
[tex]g(1)=1[/tex]
Step-by-step explanation:
Use just the definition for the appropriate section of the Domain that includes x=1,
that is the third definition:
[tex]g(x)=x^3-x^2+1\\g(1)=(1)^3-(1)^2+1\\g(1)=1[/tex]
When I square my number, I get the same answer as when I multiply my number by 10 and then add 144. My number is positive. What is it?
Answer:
your number is 18
Step-by-step explanation:
x^2 = (x × 10 ) + 144
x^2 = 10x + 144
x^2 - 10x - 144 = 0
using quadratic method
your answer should be
(x- 18) ( x+8 )
Paul developed a roll of film containing 36 pictures. If he made 2 prints each of half of the pictures and 1 print of each of the rest, how many prints did he make in all?
Answer:
54
Step-by-step explanation:
Total pictures in the roll = 36
half of the roll = 1/2 of the total pictures in the roll = 1/2 * 36 = 18
Given Paul made 2 prints of each of the half pictures
no. of prints made of half of the pictures = 18*2 = 36
No. of prints left after the half of the roll is printed for two prints= 36-18 = 18
No. of prints made of rest of the pictures 1
Therefore , no of prints made of rest half of pictures = 18*1 = 18
Total prints made = 36 + 18 = 54.
Thus, Paul made 54 prints in all.
If a rabbit can move 1 5/19 miles every hour, then how many hours would it take a rabbit to go 72 miles?
Answer:
57 hours
Step-by-step explanation:
72 ÷ (1 + (5 ÷ 19))-57
am I correct? if not what's the right answer?
Answer:
2x+y -3 =0
Step-by-step explanation:
0 = Ax + By + C is the general form of a line
2x+4y +2 = 3y +5
Subtract 3y from each side
2x+4y-3y +2 =3y+5-2y
2x+y +2 = 5
Subtract 5 from each side
2x+y +2-5 = 5-5
2x+y -3 =0
a bike store marks up the wholesale cost of all bikes by 30%. Calvin wants to buy a bike that has a price tag of $125. What was the wholesale price of this bike
Answer:
$162.50
Step-by-step explanation:
Answer:
87.5
You need to take 30 percent from 125 and subtract it to get the wholesale price
What's the equation of the parabola that has its vertex at (8,–14) and a point (5,13) that lies on the curve?
Question 13 options:
A)
y = (x + 8)2 – 14
B)
y = (x – 8)2 – 14
C)
y = 3(x + 8)2 – 14
D)
y = 3(x – 8)2 – 14
Answer:
The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.
Step-by-step explanation:
I believe there is a typo in the vertex's coordinate, I think it should be (8,14). I came to this conclusion by observing the possible answers, if the given vertex is correct then there are no correct answers among them. I made my best effort to explain the question in a way that can be generalized for different vertex's coordinates.
The equations are given in their vertex form. This form has the following structure:
[tex]y = a*(x - h)^2 - k[/tex]
Where (h,k) are the vertex's coordinates, in our case (8, 14). This knowledge makes easier to determine a equation with the correct vertex as shown below:
[tex]y = a*(x - 8)^2 - 14[/tex]
Where the value of "a" must be determined by applying the given point.
[tex]13 = a*(5 - 8)^2 - 14\\13 = a*(3)^2 - 14\\a*9 = 27\\a = \frac{27}{9}\\a = 3[/tex]
The expression with the described characteristics is: [tex]y = 3*(x - 8)^2 - 14[/tex]. Therefore the correct answer is letter D.
How many different 2-digit numbers are there with the following property: it is even and its digits are distinct?
Answer:
There are 41 different 2-digit numbers with the following properties in the question
Step-by-step explanation:
This may not be easy, but I counted them all:
10
12
14
16
18
20
24
26
28
30
32
34
36
38
40
42
46
48
50
52
54
56
58
60
62
64
68
70
72
74
76
78
80
82
84
86
90
92
94
96
98
I counted them. There were 41 numbers.
In conclusion, there are 41 2-digit numbers with the following properties: it is an even number and its digits are distinct.
Select the expression that is equivalent to 3(2x + 5) − 4x. A. 2x + 15 B. x + 8 C. x + 15 D. 2x + 5
Answer:
A. 2x + 15
Step-by-step explanation:
3(2x + 5) - 4x =
= 6x + 15 - 4x
= 2x + 15
Answer: A. 2x + 15
Answer:
2x +15
Step-by-step explanation:
3(2x + 5) − 4x
Distribute
6x + 15 -4x
Combine like terms
2x +15
Solve the compound inequality.
5 < 2x - 1 < 9
Show work
Answer:
3 < x < 5Step-by-step explanation:
5 < 2x - 1 < 9
Add 1 to both sides
That's
5 + 1 < 2x - 1 + 1 < 9 + 1
6 < 2x < 10
Divide all sides by 2
That's
6/2 < 2x/2 < 10/2
We have the final answer as
3 < x < 5Hope this helps you
Which of the following is a numerical expression that involves addition? x + 8 7 – x 2 + 5 6x
Answer:
x+8
Step-by-step explanation:
This is because in this answer, there are two terms with an addition sign in between them.