Step-by-step explanation:
Let the larger integer be x
Hence, the smaller integer = x-2
Hence,
Reciprocal of the x= 1/x
Reciprocal of x-2= 1/ x-2
Hence. their sum=
[tex] \frac{1}{x} + \frac{1}{x - 2} \\ = \frac{x - 2 + x}{x(x - 2)} \\ = \frac{2x - 2}{ {x}^{2} - 2x} [/tex]
The sum of the reciprocals of two consecutive even integers if the larger integer is [tex]x[/tex] is [tex]\frac{2}{x}[/tex].
For two consecutive even integers, if the larger integer is [tex]x[/tex], then the smaller one is [tex]x-2[/tex].
Their reciprocals will be [tex]\frac{1}{x}[/tex] and [tex]\frac{1}{x-2}[/tex].
Now, the sum of the reciprocals is [tex]\frac{1}{x} + \frac{1}{x-2}[/tex]
[tex]= \frac{1}{x} + \frac{1}{x-2}[/tex]
[tex]= \frac{x-2+x}{x(x-2)}[/tex]
[tex]= \frac{2x-2}{x(x-2)}[/tex]
[tex]= \frac{2(x-2)}{x(x-2)}[/tex]
[tex]= \frac{2}{x}[/tex]
So, the sum of the reciprocals of two consecutive even integers if the larger integer is [tex]x[/tex] is [tex]\frac{2}{x}[/tex].
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Solve the inequality for x. - 1 - 6x - 6 > - 11 - 7x
Answer:
The answer is
[tex]x > - 4[/tex]Step-by-step explanation:
[tex]- 1 - 6x - 6 > - 11 - 7x[/tex]
Simplify the inequality
That's
[tex] - 6x - 7 > - 11 - 7x[/tex]
Add 7 to both sides of the inequality
[tex] - 6x + 7 - 7 > - 11 + 7 - 7x \\ - 6x > - 4 - 7x[/tex]
Add 7x to both sides of the inequality
[tex] - 6x + 7x > - 4 + 7x - 7x \\ x > - 4[/tex]
We have the final answer as
[tex]x > - 4 [/tex]
Hope this helps you
The solution to the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex] is [tex]x > -4.[/tex]
To solve the inequality [tex]- 1 - 6x - 6 > - 11 - 7x[/tex], we can start by simplifying both sides of the inequality:
[tex]-1 - 6x - 6 > -11 - 7x[/tex]
Combine like terms:
[tex]-7 - 6x > -11 - 7x[/tex]
Add 7x to both sides:
[tex]-7 - 6x + 7x > -11 - 7x + 7x[/tex]
[tex]-7 + x > -11[/tex]
To isolate "x," we can subtract -7 from both sides:
[tex]-7 + x - (-7) > -11 - (-7)[/tex]
Simplifying further:
[tex]x > -11 + 7[/tex]
[tex]x > -4[/tex]
Therefore, the solution to the inequality is [tex]x > -4.[/tex]
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Laraine worked 40 regular hours last week, plus 3 overtime hours at the 1.5 rate. Her pay was $476.15. What was her hourly rate?
Answer:
Her hourly rate is $10.7
Step-by-step explanation:
Here, we are interested in calculating Laraine hourly rate.
In the question, we are told that the overtime rate is 1.5 times the regular hours rate.
Now, let the regular hours rate be $x / hour
For a total of 40 hours, the total money made will be 40 * x = $40x
Now let’s look at the overtime;
Since the overtime is 1.5 times the regular and she had 3 overtime hours;
Money obtained from overtime will be 1.5 * x * 3 = $4.5x
Let’s add this to the regular and equate to the total money made;
4.5x + 40x = 476.15
44.5x = 476.15
x = 476.15/44.5
x = 10.7
KATE I told that boy a hundred and nine times. (She yells out) Eugene! Stop banging the wall! EUGENE (Calls out) In a minute, Ma! This is for the World Series! (Back to his game) One out, a man on second, bottom of the seventh, three balls, one strike... Ruffing stretches, Ruffing pitches -- (He throws the ball) Oh, no! High and outside, JoJo Moore walks! First and second and Mel Ott lopes up to the plate... BLANCHE (Stops again) Can't he do that someplace else? -Brighton Beach Memoirs, Neil Simon Which lines of dialogue best help the audience understand Eugene's perspective? O "In a minute, Ma! This is for the World Series!" X "Ruffing stretches, Ruffing pitches." O "Oh, no! High and outside... "Mel Ott lopes up to the plate ..."
Answer:
The answer is “In a minute, Ma! This is for the World Series!”
Hope I helped:)
Step-by-step explanation:
Answer:
the pineapple is correct! but the answer is A!
Step-by-step explanation:
remember that you matter and you are the best person ever! don't worry I will always love you!
daily reminder!
Distribute 3x (3x - 3)
When subtracting decimals with different signs you ______________.
Answer:
below
Step-by-step explanation:
If one decimal is positive and the other is negative, you change the format to adding two numbers.
If one decimal is negative and the other is positive, you just subtract both numbers and you will still have a negative number.
Best of Luck!
Blueberries cost $4.00 per pound.
How many pounds of blueberries can you buy for $13.00?
Answer:
3 pounds
Step-by-step explanation:
13/4=3.25
Answer:
3.25 i think hehe
Step-by-step explanation:
Two town on a map are 2 1/4 inches apart.the actual distance between the towns is 45 miles. Which of the following could be the scale on the map?
Answer:
20 miles per inch
Step-by-step explanation:
Divide the miles by inches
45/ 2.25 = 20
20 miles for every inch
1/4 of an inch is equal to 5 miles
so 2 inches = 40 miles
0.25 inches = 5 miles
2.25 inches = 45 miles
how do you write this in number form three thousand, eight hundred twenty-eight
Answer:
3828
Step-by-step explanation:
three thousand = 3000
eight hundred = 800
twenty-eight = 28
3000 + 800 + 28 = 3828
Answer:
3,828
Step-by-step explanation:
Three thousand would be the first number because thousand is larger than hundreds, tens or ones it would be expressed as 3,___
Hundred would be the next because it is smaller than thousand but larger than the tens place and it would be expressed as _8__
Twenty-eight would be last and expressed as __28.
Which is 56,900,000 in scientific notation?
Answer:
5.69 × 10^7
Step-by-step explanation:
what is 0.24 in word from?
Step-by-step explanation:
two tenth + four hundredth
25 Points!
Which of the following relations describes a function?
{ (2, -2), (0, 0), (2, 2), (3, 3) }
B.
{ (-3, 9), (-2, 4), (2, 4), (3, 9) }
C.
{ (-2, 0), (0, 2), (2, 0), (0, -2) }
D.
{ (9, -3), (4, -2), (4, 2), (9, 3) }
Hello! My name is Chris and I’ll be helping you with this problem.
Date: 9/28/20 Time: 11:59 CST
Answer:
B: { (-3, 9), (-2, 4), (2, 4), (3, 9) }
Explanation:
This shows a function because, for each x value, there is not another x value of the same number
I hope this helped answer your question! Have a great rest of your day!
Furthermore,
Chris
The quadratic equation is y=ax2 + bx + c.
What would be a formula for b?
Answer:
b=y/x−ax−c/x
Step-by-step explanation:
I buy 6 CD,s casting £ 6.99 each how much change do I get from £ 50
plz answer
Answer:
£8.06
6.99x6=41.94
50-41.94=8.06
Round the following number to the nearest
ten thousands place
56,252
Answer:
60,000
Step-by-step explanation:
Look at the thousands place (the place to the direct right of the ten thousands place)If the number in the thousands place is 4 or under, we round down. If it is 5 or over, we round up.The number is 6 which is above 5, so we round up.The ten thousands place becomes a 6, and all of the other places become a 0.It should now look like this: 60,000I hope this helps!
the difference between two number is 66 the ratio of number is 2 ratio 5 what are the two number
Step-by-step explanation:
Difference of some numbers is 66,
Let the number be x,
So, 5x - 2x = 66
=> 3x = 66
=> x = 66/3
=> x = 22
So, for finding the numbers 2x and 5x,
=> 2 * 22 , 5 * 22
=> 44 , 110
So the two numbers are 44 , 110 respectively,
If my answer helped, please mark me the brainliest!
Thank You!
Answer:
The two numbers are 44 and 110.
Step-by-step explanation:
Determine the SLOPE of the following equation: y = 3/2x + 4*
Answer:
The slope is 3/2
Step-by-step explanation:
In y=mx+b,
m is the slope...
Here,3/2 is the slope
Answer:
the awnser is 3/2
the y intercept is -4
Find the perimeter of square with an area of 702.25 square yards.
Answer: 106 yards
Step-by-step explanation: Find the square root of 702.25 which is 26.5, then times 26.5 by 4 to find the perimeter. 106 yards.
Answer:
106
Step-by-step explanation:
First, find the square root of 702.25 (26.5), then multiply that number by 4.
The sum of three consecutive integers is 105. Find the smallest integer.
Answer:
34.
Step-by-step explanation:
The three integers would be 34,35,36 because the sum of the three numbers is 105.
Find each of the following and explain your reasoning: 1) The length of segment BE
Answer:
BE = 2.5
Step-by-step explanation:
find the midpoint of AD
[tex](\frac{0+4}{2},\frac{2+7}{2})\\(2,4.5)\\BE=2.5[/tex]
If (8,0) is on y=bx+x^2, what is the least value of the function?
Greetings from Brasil...
(8; 0) ⇔ (X; Y) ⇒ so, according to the statement of the question, when X = 8 we have a Y = 0.
Y = bX + X²(8; 0) ⇒ X = 8 and Y = 0
0 = b · 8 + 8²
0 = 8b + 64
8b = - 64
b = - 64/8
b = - 8Then
Y = X² - 8XThe minimum value or least value of the function is -16 at x = 4 after plotting the graph.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have:
(8,0) is on y=bx+x²
Plug x = 8 and y = 0
0 = 8b + 64
b = -8
y = -8x + x²
Thus, the minimum value or least value of the function is -16 at x = 4 after plotting the graph.
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SOMEONE PLS HELP I NEED TO DO THISSSS
do you compare a negative decimal to a positive decimal?
Answer:
Positive: Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is always greater than a negative decimal.
Negative: When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.
All of it put together (same text as above):
Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is ALWAYS greater than a negative decimal. When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.
[tex]1.986 \times {10}^{6} [/tex]
write this number in standard notation
o babysit one child, Fernando charges $10 to drive to the appointment plus $4 per hour. He saves 30% of the total amount he earns. Brenna charges $6 per hour and saves 25% of the total amount she earns. Which equation can be used to determine the number of hours, h, after which Fernando and Brenna will have saved the same amount of money? 10 + 0.3(4h) = 0.25(6h) 0.3(10) + 4h = 0.25(6h) 0.3(10 + 4h) = 0.25(6h) 0.3(14h) = 0.25(6h)
Answer:0.3(10+4h)=0.25(6h)
Step-by-step explanation:
Answer:
C. 0.3(10 + 4h) = 0.25(6h)
Step-by-step explanation:
edge
Solve: 12r-6s=t for r
15tb when b=7 7
Farheen Rashid needs this now plz help me
HELP. ONLY ANSWER QUESTION 5. THANKS
Answer:
A. K= m+n
B. L=[tex]\sqrt{p*q}[/tex]
Step-by-step explanation:
x - 2 > 4
What is the answer and explain
Pls I'll Give BRAINLIEST
Answer:
[tex]\boxed {x > 6}[/tex]
Step-by-step explanation:
Solve the following inequality:
[tex]x - 2 > 4[/tex]
-Add [tex]2[/tex] on both sides:
[tex]x - 2 + 2 > 4 + 2[/tex]
[tex]x > 6[/tex]
So, therefore, the answer is [tex]\boxed {x > 6}[/tex].
Sebastian is driving to a concert and needs to pay for parking. There is an automatic fee of $10 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Sebastian have to pay for parking if he left his car in the lot for 2 hours? How much would Sebastian have to pay if he left his car in the lot for tt hours?
Cost for 2 hours:
Cost for t hours:
Answer:
1. 16$
2. 10+3(t)=$
Step-by-step explanation:
1. 10+3+3=16
Given h(x) = -x2+3x, find h(5).
Answer:
-10, 40, or 5
Step-by-step explanation:
There are three ways of looking at this problem.
1.
h(x) = -x^(2) + 3x
When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,
using that knowledge, we can say
h(5) = -(5)^(2) + 3(5)
simplify
= - (25) + (15)
= -10
2.
h(x) = (-x)^(2) + 3x
Again,
When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,
using that knowledge, we can say
h(5) = (-5)^(2) + 3(5)
simplify
=25 + 15
= 40
3.
h(x) = -2x + 3x
Again,
When finding h(5), that is like saying that in the case that x = 5, find the value of the given expression,
using that knowledge, we can say
h(5) = -2(5) + 3(5)
simplify
= -10 + 15
= 5
