Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
HHURRY BEING TIMED read this from a story walk around the pyamids and through the wo
pathenon hight on a hill catches the first light of morning the the carvers wanted the sight of that golden light wasing across the hourse and a line of other gods to be inforgettable and so they coaxed the images of their gods out of the marble with suc treness of there gods out of marble
which important detail does the phhotograph best help readers understand
A ; EACH figure is a clam and as refined as our mind can imagine
B; THE SIGHT OF THAT GOLDEN LIGHT WASHING ACROSS THE HOURES AND
A LINE OF OTHER GODS TO BE UNFORGETTABLE .
C pathenon high on a hill catches the first light of morning
D they gave the world an example of ideal beauty
NOT PLS NOT GUSS
Answer:
D) they gave the world an example of ideal beauty.
Step-by-step explanation:
In the passage, it talks about the Parthenon being made out of beautiful marble, with the first light of morning. However, the first light of morning is not the answer, as that is just a detail in the passage.
(GIVING BRAINLIEST & EXTRA POINTS!! PLS DRAW IT OUT! I DONT WANT TO KNOW THE ANSWER TO THE MULTIPLICATION, I WANT TO SEE HOW YOU SOLVE IT TO GET THE ANSWER :))
1. Use the square grid to find the area.
4 cm x 1 41 cm =_________
Here is the image:
Answer:
5
Step-by-step explanation:
1 1/4 x 4
(1 x 4) + 1 = 5/4
5/4 x 4/1 = 20/4
20/4 = 5/1
Hope this helped.
McKayla hikes 8 miles on Monday. On Tuesday she
hikes 30% more miles than on Monday. What is the
NEW AMOUNT of miles she hikes on Tuesday?
Answer:
10.4 miles
Step-by-step explanation:
convert 30% to a decimal 0.3
Then multiply 8×0.3=2.4
Now you have to add 2.4 to 8 because it is 39% more
Jeffery bought 203 sheets of stickers. Each sheet has a dozen stickers. He gave away 907 stickers to his family on Valentine's Day. How many stickers does Jeffery have remaining?
A card is drawn at random from a standard 52-card deck. What is the probability of drawing a red card or a 7 of spades?
Answer: I think it would be 1/52
Step-by-step explanation:
Which exponential function has an x-intercept?
A.
F(x) = 100+-5-1
B.
F(x) = 3x4+2
C.F(x) = 7+-1 + 1
D.
F(x) = -8x+1 – 3
The exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.
What is an exponential function?It is the mathematical function that should be denoted by f(x)=\exp or [tex]e^{x}[/tex]. It defined the positive valued function with respect to the real variable. Also, it could be extended to the numbers that are complex or could be general to the other maths objects.
hence, The exponential function has an x-intercept should be considered as the option A. F(x) = 100+-5-1.
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Please help me don’t do it for points
Answer:
The answer is b and d
Step-by-step explanation:
The other answers are wrong.
Therefore b and d are correct.
Hope you get it right and this helps!
Help please!!!!!!!!!
Answer:
-9+12
Step-by-step explanation:
Answer:
12 - g
Step-by-step explanation:
12 - g
Addition property of zero: Any number added to 0, gives the same number
Which of the following exponential functions goes through the points (1, 20) and (2, 80)?
O f(x) = 5(4)-
O f(x) = 4(5)-*
O f(x) = 5(4)*
O f(x) = 4(5)*
Answer:
f(x) = 5(4)^x is the correct answer
SOMEONE HELP ME ASAP PLEASEE
Answer:
[tex]x=8[/tex]
Step-by-step explanation:
The diagram shows a 90 degree angle between the angles [tex]5x-2[/tex] and [tex]6x+4[/tex] They all lie on a straight line, so if you add them together you get 180[tex](5x-2)+(6x+4)+(90)=180\\5x+6x+4+90-2=180\\11x+92=180\\11x+92-(92)=180-(92)\\11x=88\\x=8[/tex]4,408,703 in expanded form.
Step-by-step explanation:
It is
4,000,000+400,000+8000+700+3
¿Cuál es el área del siguiente polígono regular 12 lados que mide 6cm de lado y tiene una apotema de 5.2cm? *
Answer:
dont understand you if i did i would have helped
Step-by-step explanation:
For 0° ≤ x < 360°, what are the solutions to sin(StartFraction x Over 2 EndFraction) + cos(x) – 1 = 0 ?
{30°, 150°}
{60°, 300°}
{120°, 240°}
{210°, 330°}
{60°, 300°}
Using the half angle identity:
[tex]\sin\left(\frac{x}{2}\right)+\cos\left(x\right)-1=0\\\sin\left(\frac{x}{2}\right)+1-2\sin^{2}\left(\frac{x}{2}\right)-1=0\\\sin\left(\frac{x}{2}\right)-2\sin^{2}\left(\frac{x}{2}\right)=0\\\sin\left(\frac{x}{2}\right)\left(1-2\sin\left(\frac{x}{2}\right)\right)=0\\[/tex]
Using zero product rule:
[tex]\sin\left(\frac{x}{2}\right)=0,\frac{1}{2}\\x=\frac{x}{2}=0,30,150,180\\x=0,60,300,360[/tex]
Since, 0° ≤ x < 360°, so, x=60,300
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One-third of the result of three times a number that is increased by 12
Answer:
(1/3)(3x+12)
Step-by-step explanation:
1/3
times (3x+12)
3x+12 will be three times the number x + 12
Seven
Cruel
Hours
Of
Our
Lifes
what math means
Mental
Abuse
To
Humans
Answer:
I like math.
Step-by-step explanation:
But I don't do seven hours of school because I am doing online school. I do 8 most of the time
____2. Find the value of x
A 16 C 50
B 34 D 70
Turn the sentence into an expression please
9. twenty more than a number added to the
difference between the number and nine
Answer:
(x+20) + (x-9)
Step-by-step explanation:
I've hit multiple kids with my Truck
Answer: relatable
Step-by-step explanation: Plz give brainliest
u should dial 911 on ur phone
What is the slope-intercept form of the linear equation 2x–8y=32?
Answer: y = 1/4x - 4
Step-by-step explanation: write it in slope intercept form y = mx + b
Help me pleaseeeeeeeeeeeeeeeeeee
Answer:
9
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
he gave away 9 (20 x (3/7) =9) so 21-9=12
Question 3 (2 points)
A unit rate is
A rate in which the second quantity in the comparison is one unit.
Answer:
true
Step-by-step explanation:
it's true, good luck :)
plz help me thanks so mycghh
x=2y-6;y=3x-7
substitution to solve systems of equations
As you said, we can solve this system for y by using substitution.
[tex]x = 2y - 6\\y = 3x - 7\\\\y = 3(2y - 6) - 7\\\\y = 6y - 18 - 7\\\\y = 6y - 25\\\\-5y = -25\\\\y = 5[/tex]
Now, using what we got for y, we plug it into one of the original equations to solve for x.
[tex]x = 2(5) - 6\\\\x = 10 - 6\\\\x = 4[/tex]
Now we have the solution of this system.
[tex](4, 5)[/tex]
For the given equations x=2y-6 and y=3x-7 the value of x is 4 and the value of y is 5.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two equations are x=2y-6 and y=3x-7. The value of x and y will be calculated as,
x=2y-6
y=3x-7
Solve the above equations by substitution method,
x=2(3x-7)-6
x = 6x -14 - 6
6x - x = 20
5x = 20
x = 4
The value of y will be calculated as,
y=3x-7
y = ( 3 x 4) - 7
y = 12 - 7
y = 5
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The perimeter of a rectangle is 42 inches inches if the width of the rectangle is 6 inches what is the length
Answer:
15 I think.
Step-by-step explanation:
If the perimeter is 42 inches and the width is 6 inches. That is only one side so you multiply.6 by 2 to get 12. Then 42 minus 12 is 30. Finally you split 30 into 2, to get the length. Since there are to sides. So 15.
Are the ratios 6:5 and 4:3 equivalent?
A car travels 351 miles on 13 gallons of gas. What is the number of miles driven per gallon of gas?
a. 24 mpg
b.27 mpg
c. 29 mpg
d. 28 mpg
A coffee shop sells 4 types of coffee, 10 types of tea, and 5 sodas. How many different types of drinks does the coffee shop sell?
Answer:
19 is the answer.
You just want to find the total kinds of drinks the shop sells so just add up all the different kinds of drinks like so,
4+10+5=19
So the coffee shop sells 19 different types of drinks.
Please mark brainliest
2 Why is adding 6, 10, and 5 to a number the same as
adding 21 to that number?
Answer:because 6, 10, and 5 equal 21
Adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.
Given that, adding 6, 10, and 5 to a number the same as adding 21 to that number.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the unknown number be x.
Add 6, 10, and 5 to x, we get x+6+10+5 = x+21
Add 21 to x = x+21
So equation is x+21 = x+21
Therefore, adding 6, 10, and 5 to a number the same as adding 21 to that number, because sum of 6, 10, and 5 is 21.
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y = cos 4(x) period
Which of the following option(s) is a unique curve that can be defined using polar coordinates? Select all that apply.
Rose
rational expression
cardioid
cubic function
lemicon
Answer:
1 2 and 3
Step-by-step explanation:
Hopefully this helps