Answer:
Smaller integer = -6
Larger integer = -5
Step-by-step explanation:
Let the two consecutive integers = [tex]x[/tex] and ([tex]x+1[/tex])
As per the given statement,
Larger i.e. ([tex]x+1[/tex]) is 7 greater than twice ([tex]2\times x[/tex]) the smaller integer.
To find:
The value of integers = ?
Solution:
First of all, let us learn about integers.
The integers are of the form (put in increasing order):
[tex]-\infty, ...., -3, -2,-1, 0, 1, 2, 3, ...., \infty[/tex]
and -1 > -2
So the consecutive integers are 1 greater than the smaller.
Therefore, the two integers can be [tex]x, x+1[/tex]
Now, writing the given condition in the form of an equation:
[tex]x+1=2x+7\\\Rightarrow 1-7=2x-x\\\Rightarrow -6=x\\\Rightarrow \bold{x=-6}[/tex]
So, the smaller integer = -6
Larger integer = -6+1 = -5
Use the method of Lagrange Multipliers to find any maximum or minimum values of the function f(x,y)=x2+y2 subject to the constraint xy=1.
Answer:
possible maximum and minimum values : f (1,1), f (-1,-1)
Step-by-step explanation:
Given function :
f(x,y) = x^2 + y^2
constraint = xy = 1
attached below is the detailed solution of the method of using Lagrange method of Multipliers to find the maximum and minimum values of the function
Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I
Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
Evaluate the following expression when x = -4 and y = 4.
Answer:
[tex] \frac{ - 1023}{4} [/tex]
Step-by-step explanation:
[tex] \frac{ {x}^{6} - 6 }{4y} = \frac{ - 4 {}^{6} - ( - 4) }{4(4)} = \frac{ - 4096 + 4}{16} = \frac{ - 4062}{16} = - 255.75 = \frac{ - 1023}{4} [/tex]
Hope this helps ;) ❤❤❤
Answer:
c
Step-by-step explanation:
The final cost of a bookstore purchase with a $5 coupon in a state that charges 8% sales tax is given by this expression. The variable x represents the amount of the purchase before the sales tax and the coupon are applied. 1.08(x−5) What does (x−5) represent?
a. the total charge after tax
b. the rate at which the total cost increases
c. the total charge before applying sales tax
d. the cost before applying the coupon
Answer:
B.the total charge before applying sales tax
Step-by-step explanation:
[tex]f(x) = \sqrt{x} [/tex]
Lim h=0
f(x+h) -f(x)/h
Answer: [tex]\dfrac{1}{2\sqrt x}[/tex]
Step-by-step explanation:
[tex]\lim_{h \to 0} f(x)=\dfrac{f(x+h)-f(x)}{h}[/tex]
f(x) = [tex]\sqrt x\\[/tex]
f(x+h) = [tex]\sqrt{x+h}[/tex]
[tex]\lim_{h \to 0} f(x)=\dfrac{\sqrt{x+h}-\sqrt x}{h}[/tex]
[tex]=\dfrac{\sqrt{x+h}-\sqrt x}{h}\bigg(\dfrac{\sqrt{x+h}+\sqrt x}{\sqrt{x+h}+\sqrt x}\bigg)[/tex]
[tex]=\dfrac{(x + h)-(x)}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{h}{h(\sqrt{x+h}+\sqrt x)}[/tex]
[tex]=\dfrac{1}{\sqrt{x+h}+\sqrt x}[/tex]
[tex]=\dfrac{1}{\sqrt{x+0}+\sqrt x}[/tex]
[tex]=\dfrac{1}{2\sqrt x}[/tex]
simplify the expression. -6(-8 + 3s) =
Answer:
The correct answer is 48 - 18s.
Step-by-step explanation:
To simplify this problem, we have to use the distributive property. To do this, we must multiply each term inside the parentheses by -6 (what is outside of the parentheses). This is modeled below:
-6(-8 + 3s)
= (-8 * -6) + (-6 * 3s)
Now, we can simplify what is inside the parentheses.
= 48 - 18s
Therefore, the correct answer is 48 - 18s.
Hope this helps!
Marissa is writing a book. The ratio of the number of pages she has written so far to the
number of hours she has spent writing is 5:8. Which statement is true?
On average, Marissa wrote 1 page every 3 hours.
On average, Marissa wrote 3 pages each hour.
On average, Marissa wrote 5 pages every 8 hours.
On average, Marissa wrote 8 pages every 5 hours.
Answer:
On average, Marissa wrote 5 pages ever 8 hours.
Step-by-step explanation:
The ratio is the number of pages to the number of hours she has spent writing so 5:8 means 5 pages every 8 hours.
On average, Marissa wrote 5 pages every 8 hours. Therefore, option C is the correct answer.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given that, the ratio of the number of pages she has written so far to the number of hours she has spent writing is 5:8.
In 8 hours Marissa is writing 5 pages
Therefore, option C is the correct answer.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ5
x2-8x-9-y2+10y solve this
Answer:
in descending order, your answer would be x^2-y^2+2y-9. Hope this helps!
Step-by-step explanation:
Answer:-6x-9+8y.
Step-by-step explanation: 2x-8x-9-2y+10y -6x-9-2y+10y -6x-9+8y
A country has a 7 digit phone number system of the form ABC-DEFG. The first digit 'A' can be any number except O or 1. The next 2 digits , B' and 'C, can be any digit , except they cannot repeat . The last 4 digits can be any single digit number 0-9 . How many unique phone numbers are possible?
Answer:
7,200,000
Step-by-step explanation:
Number of Possibilities for
A) First Digit
There are 10 digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) of which 0 and 1 is not allowed.
Hence there are 8 possibilities for the first digit
B) Second digit
There are 10 posibilities
C) Third digit
Since it mustn't be the same as Second digit....
There are 9 possibilities
D) Forth digit
There are 10 possibilities
E) Fifth digit
There are 10 possibilities
F) Sixth digit
There are 10 possibilities
E) Seventh digit
There are 10 possbilities
Total possible ways for the 7-digit phone number is...
8×10×9×10×10×10×10
=7,200,000 possible phone numbers
A cell phone company charges $15 for 120 minutes. What is the cost per minute? Round to the nearest cent.
Answer: The cost per minute is $0.13 or 13 cents.
Step-by-step explanation:
If it charges $15 for 120 minutes then to get to one minute we will have to divide it by 120.
so 15/120 = 0.125 which rounds to 0.13 to the nearest cent.
Answer:
Step-by-step explanation:
Help me please thank you
Answer:
x = 7
Step-by-step explanation:
To make L II M, the two angles ([2x - 3] & [x + 4]) have to be the same.
2x - 3 = x + 4 is the equation.
Simplify, and you will get x = 7
Hope this helps! Please tell me if I did anything wrong, thank you!
What is the first step to solving this equation? -5c + 6 = -4
Answer:
subtract 6 from both sides.
-5c = -10
then divide both sides by -5 (negative divided by a negative is a positive)
c = 2
Step-by-step explanation:
Step-by-step explanation:
Hey, there!!
The given equation is : -5c + 6 = -4
The first step olis to take (+6) in right side,
[tex] - 5c = - 4 - 6[/tex]
now, another step is add ( -4 and -6)
[tex] - 5c = - 10[/tex]
Now, divide -10 by -5.
[tex]c = \frac{ - 10}{ - 5} [/tex]
Therefore, c= 2.
Hope it helps..
What decimal number does point A on the number line below represent? −0.75 0.75 −1.25 1.25
Answer:
-1.75
Step-by-step explanation:
Point A is in between - 1 and -2
This interval is split in 4 equal parts and has 3 marker points.
Point A is on the bottom marker point, which indicates:
-1 * 3/4 = - 3/4 = - 0.75Since it is below -1, we add up - 1 and - 0.75:
- 1 + (-0.75) = - 1.75Point A represents: -1.75 on the number line
Answer:
-0.75678obsf
Step-by-step explanation:
Answer please ! I’ll give 25 points !! Thank you
Answer:
a. 7%
b. 13%
c. 3%
d. I can conclude that poor nutrition affects academic performance because the chart shows that people with poor nutrition got the worst scores out of the people with better nutrition. The chart also shows that there are more kids below average than kids with excellent nutrition. Kids with poor nutrition also have less people above average then any other category.
Step-by-step explanation:
For the percentages, it is just a number out of the total, which is 1000.
Percentages are a number out of 100. Like, 35/100 is 35%. So the total is 1000 and if you divide it by 10, you'll get 100. That means you have to only divide the amount of kids in a category by 10, and you'll get the percentage.
Below average kids with poor nutrition has 70 kids.
70/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 70. 70 divided by 10 is 7, so it's 7%. It is sort of like a ratio!
Average kids with poor nutrition has 130 kids.
130/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 130. 130 divided by 10 is 13, so it's 13%.
Above average kids with poor nutrition has 30 kids.
30/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 30. 30 divided by 10 is 3, so it's 3%.
please help!!!!! thank uuuuuuu
Step-by-step explanation:
here's the answer
Hope it helps◉‿◉
4. A ship traveled a distance of 50 km from port O at a bearing of 120°, then another 100 km to port B at a bearing of 200 °. What is the distance between ports O and B?
Step-by-step explanation:
Jesu
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answer: 47°C
Step-by-step explanation:
Since we are given the velocity, all we have to do is plug in 358 for v and solve for t.
[tex]358=20\sqrt{273+t}[/tex] [divide both sides by 20]
[tex]17.9=\sqrt{273+t}[/tex] [square both sides to cancel out square root]
[tex]320.41=273+t[/tex] [subtract both sides by 273]
[tex]t=47.41[/tex]
Now that we know the temperature is 47.41°C, we know our answer choice is D.
The Rockville Recruitment Agency just placed Howard Jacobson in a job as an assistant pharmacist. The job pays $51.2K. The agency fee is equal to 40% of the first three weeks' pay.
c. How much must Howard pay the employment agency to the nearest dollar?
Answer:
Step-by-step explanation:
51,200 divided by 52. (52 weeks in a year.) 984.615385 is answer. So each week he gets paid $984.62. So then we multiply that by 3 since we are finding 40% of 3 weeks of pay. $984.62x3= $2953.86. Then we multiply that by 40%.. $2953.86x40%= Answer is $11181.54
Decide whether the pair of lines is parallel, perpendicular, or neither.
2x + 3y = 7
2x + 3y = 9
Answer:
the pair of lines are parallel
Of the 2254 students at a liberal arts college, 257 are fifth year students. Among a sample of 321 of the students from this college, 257are fifth year students. Find the sample proportion of fifth year students, rounded to two decimal places as needed.
Answer:ifk
Step-by-step explanation:
A pool measures 15 feet by 17 feet. A cement walkway is added around the pool,
to both the width and the length. The area of the pool and the cement walkway is
now 483 square feet. What is the width of the cement walkway?
Answer:
Width of the walkway = 3 feet
Step-by-step explanation:
Dimensions of a pool = 15 feet × 17 feet
After the addition of a cement walkway around the pool,
New dimensions of the pool (including walkway) = (l + 2x)(w + 2x)
Area of the pool and the cement walkway = 483 square feet
(15 + 2x)(17 + 2x) = 483 [Since, l = 15 feet and w = 17 feet]
255 + 30x + 34x + 4x² = 483
4x² + 64x = 483 - 255
4x² + 64x = 228
4x² + 64x - 228 = 0
x² + 16x - 57 = 0
By using quadratic formula,
[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}[/tex]
x = [tex]\frac{-16\pm \sqrt{(16)^2-4(1)(-57)}}{2\times 1}[/tex]
x = [tex]\frac{-16\pm 22}{2}[/tex]
x = 3.0 ft, -19 ft
Since, dimension can't be negative.
Therefore, width of the walkway = 3 ft
The width of the walkway is 3 ft
The pool measures 15 feet by 17 feet. This means the pool is rectangular.
Properties of a rectangle:Opposite sides are equal to each otherOpposite sides are parallel to each otherarea of the pool = lw
area = 15 × 17 = 255 ft²
A cement walkway is added around the pool, to both the width and the length.
area of the pool and the cement walkway = 483 ft²
Therefore,
area = lw
The width and length was added on both sides.
let
the side added to the width = x
the side added to the length = x
length = 2x + 17
width = 2x + 15
483 = (2x + 17)(2x + 15)
483 = 4x² + 30x + 34x + 255
4x² + 64x - 228 = 0
x² + 16x - 57
x² - 3x + 19x - 57
x(x - 3) + 19(x - 3)
(x + 19)(x - 3) = 0
x = -19 or 3
we can only use positive value of x. Therefore, x = 3
length = 2(3) + 17 = 23 ft
width = 2(3) + 15 = 21 ft
Therefore, the width of the walkway is 21 - 15 / 2 = 3 ft
learn more on rectangle here:https://brainly.com/question/16840144?referrer=searchResults
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. f(x, y) = 2x2y, 2x2 + 4y2 = 12
Answer:
f(-2,-1) = -8 is the minimum value of f(x,y)
f(2,1) = 8 is the maximum value of f(x,y)
Step-by-step explanation:
f(x,y) = 2x²y under the constraint 2x² + 4y² = 12
Let g(x,y) = 2x² + 4y² - 12
df/dx = 4xy, df/dy = 2x², dg/dx = 4x and dg/dy = 8y
Now, using the principle of Lagrange multipliers,
df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.
Substituting the values of the variables, we have
df/dx + λdg/dx = 0 and df/dy + λdg/dy = 0.
4xy + 4xλ = 0 (1) 2x² + 8λy = 0 (2)
xy + xλ = 0
x(y + λ) = 0
x = 0 or y + λ = 0
Since x ≠ 0, y = -λ
Substituting y = -λ into (2), we have
2x² + 8λy = 0
2x² + 8λ(-λ) = 0
2x² - 8λ² = 0
2x² = 8λ²
x² = 4λ²
x = ±2λ
Substituting the values of x and y into the constraint equation, we have
2x² + 4y² = 12
2(±2λ)² + 4(-λ)² = 12
2(4)λ² + 4λ² = 12
8λ² + 4λ² = 12
12λ² = 12
λ² = 1
λ = ±1
Substituting the value of λ into x and y, we have
x = ±2λ = ±2(±1) = ±2
y = -λ = -(±1) = ±1
The minimum values of x and y are -2 and -1 respectively. Substituting these int f(x,y), we have
f(-2,-1) = 2(-2)²(-1) = 2 × 4 × (-1) = -8
So f(-2,-1) = -8 is the minimum value of f(x,y)
The maximum values of x and y are 2 and 1 respectively. Substituting these int f(x,y), we have
f(2,1) = 2(2)²(1) = 2 × 4 × 1 = 8
So f(2,1) = 8 is the maximum value of f(x,y)
3(x-8) = -29.7 please solve for x
Answer:
The answer is x= -1.9.
Use the 3 to multiply the number and the letter in the bracket... which is...
3x-24=-29.7.
3x=-29.7+24.
3x=-5.7.
x=-5.7/3.
x=-1.9.
x is -1.9
Solve 3(x-8) = -29.7
Remove the brackets by dividing both sides by 3:
3(x-8) / 3 = -29.7 / 3
You will be left with:
x - 8 = -9.9
Take -8 to the other side so that you can be left with x. When you do this, the sign will change from negative to positive:
x = -9.9 + 8
x = 1.9
x is therefore -1.9
Find out more at https://brainly.com/question/17289311.
A record weight for a red snapper was 46 pounds. A record weight for a sturgeon was 468 pounds. About how many times heavier than the red snapper was the sturgeon?
Answer:
10.17
Step-by-step explanation:
To find the answer the this question we must divide "468" by "46". We then get the answer 10.173913....... I rounded it to the hundredths place.
PLEASE HELP (05.04 LC) The image below is a triangle drawn inside a circle with center O: (5 points) Which of the following expressions shows the area, in square inches, of the circle? (π = 3.14) Select one: a. 3.14 ⋅ 2 b. 3.14 ⋅ 3 c. 3.14 ⋅ 22 d. 2 ⋅ 3.14 ⋅ 22
Answer:
Area of the circle is πr²
= 3.14(2)² = 4 · 3.14
Step-by-step explanation:
A car is driving 90 kilometers per hours how far in meters does it travel in 3 second
Answer:
I hope it will work
Step-by-step explanation:
as given
speed = v = 90 km/hr convert to meter and sec we get
v =( 90 *1000 meter)/(3600 sec)
v=25 m /sec
as given t= 2 sec so
v=s/t
s= v*t
s=25*2
s=50 meter
if its help-full hit the stars and brain list it thank-you
anyone help if you guys help me the next question i will give u more points the screenshot is attached below
Answer:
69°
Step-by-step explanation:
To obtain the value of w, we must first obtain the value y as shown in the attached photo.
The value of y can be obtained as follow:
y + (w + 37) = 180 (sum of angle on a straight line)
y + w + 37 = 180
Make y the subject by rearranging
y = 180 – 37 – w
y = 143 – w
Finally, we shall determine the value of w as follow:
w + (w – 32) + y = 180 (sum of angles in a triangle)
y = 143 – w
w + (w – 32) + (143 – w) = 180
w + w – 32 + 143 – w = 180
Rearrange
w + w – w – 32 + 143 = 180
w + 111 = 180
Collect like terms
w = 180 – 111
w = 69°
Therefore, the value of w is 69°
How long will it take you to ski a distance of 36 miles at a speed of 3 miles per 30 minutes.
Answer:
6 hours
Step-by-step explanation:
Since there are 60 minutes in one hour, you can ski 3 * 2 = 6 miles per hour. Therefore, it will take you 36 / 6 = 6 hours to ski that distance.
Is the following an Arithmetic Sequence? 4, 6, 8, 10, 12
Answer:
Yes
Step-by-step explanation:
For a sequence to be arithmetic, it must have a common difference, which means that the difference between any two consecutive terms must be the same. If we check the terms in our sequence, we see that 6 - 4 = 2, 8 - 6 = 2, 10 - 8 = 2 and 12 - 10 = 2. Since we got the same answer (2) every time, the answer is yes, it is an arithmetic sequence.
4. The Emerson First National Bank is lending you money to buy a new car. The loan agreement will probably state
that you must carry
insurance.
A no-fault
B. collision
C. medical
D. liability
Answer:
D. liability
Step-by-step explanation:
The Emerson First National Bank is lending you money to buy a new car.
Before an agreement will be reached for any Organization to lend someone money there have to be something like a collateral.
The agreement will in it's document state that there must be a form of a reliability to hold on, such that if something's happen to the car, or you don't meet the paying up time, or something happens to you,they will see something to hold on.
Answer:
COLLISION insurance.
Step-by-step explanation: