Answer:
4.5
Step-by-step explanation:
2+1=3
2/3+5/6=1.5
3+1.5=4.5
Find two positive integers such that their sum is 10, and minimize and maximize the sum of their squares.
Two numbers whose sum is 10 is required.
The answer is
Minimum: 5, 5
Maximum: 9, 1
Let [tex]x[/tex] and [tex]y[/tex] be two numbers
[tex]x+y=10\\\Rightarrow y=10-x[/tex]
The sum of the squares would be
[tex]x^2+y^2=x^2+(10-x)^2\\ =2x^2-20x+100[/tex]
[tex]f(x)=2x^2-20x+100[/tex]
Differentiating with respect with x
[tex]f'(x)=4x-20[/tex]
Equating with zero
[tex]4x-20=0\\\Rightarrow x=\dfrac{20}{4}\\\Rightarrow x=5[/tex]
Double derivative of f(x)
[tex]f''(x)=4[/tex]
[tex]f''(x)>0[/tex]
So, at [tex]x = 5[/tex] the value of the function is minimum.
Therefore, at [tex]x=5[/tex] and [tex]y=10-5=5[/tex] the function has minimum value of [tex]5^2+5^2=50[/tex]
For the finding the maximum values of [tex]x[/tex] and [tex]y[/tex] we have to use trial and error method
[tex]9^2+1^2=82[/tex]
[tex]8^2+2^2=68[/tex]
[tex]7^2+3^2=58[/tex]
[tex]6^2+4^2=52[/tex]
0 and 10 will not be considered as 0 is neither positive nor negative.
So, the maximum value of the numbers is 9 and 1 and the maximum value of the function is 82.
Learn more:
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Pls help i need to get this done or i will get grounded for a week
Answer: the answer is 3
Step-by-step explanation:
Isolate the x so in other words do the opposite, then you have your answer.
Answer:
D
Step-by-step explanation:
BRUH ALL IT SAYS IS "IT HAS ADDITION" HOW CAN YOU NOT SEE THAT I-
write an equation that passes through points (-6,1) (4,3)
[tex]y=mx+b[/tex]
First, we find the slope.
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{3-1}{4+6} \\m=\frac{2}{10}\\m=\frac{1}{5}[/tex]
Second, we know the slope. Substitute any ordered pairs that are given in the equation.
[tex]y=mx+b\\y=\frac{1}{5}x+b\\[/tex]
I'll use the ordered pairs (4,3) as I substitute x = 4 and y = 3.
[tex]3=\frac{1}{5}(4)+b\\3=\frac{4}{5}+b\\15=4+5b\\15-4=5b\\11=5b\\\frac{11}{5}=b[/tex]
Therefore, the equation is [tex]y=\frac{1}{5}x+\frac{11}{5}[/tex]
Identify a pair of Alternate Exterior Angles
Answer:
Angles 6 and 3. Hopefully this helps.
Find the quotient.
0.63
_____
-0.7
Answer:
- 0.9
Step-by-step explanation:
your welcome.what is quotient?a result obtained by dividing one quantity by another.
f(x)=-x^3 find the end behavior of function
Answer:
What is X its fiesty
Step-by-step explanation:
fdsfa
Why is this the answer can u show work please
Giving extra points
As a person cycling increases speed, the rate of calorie burned, distance traveled, and energy expended also increase. Which of the following is the independent variable?Please explain why you chose this answer to better understand.
a. Calories
b. Energy
c. Distance
d. Speed
Answer:
c because the distance is important
rewrite the function f(x)=-3(x+3)^2-13
in the form f(x)=ax^2+bx+c
Answer:
-3x^2-18x-40
Step-by-step explanation:
(x+3)^2: x^2+6x+9
= -3(x^2+6x+9)-13
Expand:
-3(x^2+6x+9): -3x^2-18x-27
= -3x^2-18x-27-13
Final Answer: -3x^2-18x-40
Answer:
-3x^2-18x-40
Step-by-step explanation:
-3(x+3)^2-13
-3(x^2+6x+9)-13
-3x^2-18x-27-13
-3x^2-18x-40
(please answer)
If f(x) = (x + 3) - 2, which of the following is the value of f(-3)?
Answer:
f(3)= 4
Step-by-step explanation:
x= -3=0
x= 3
f(3)=(3+3)-2
f(3)= 6-2
f(3)= 4
1.)How many people chose superman or thor?
2.) How many people chose Thor than The Hulk?
3.) How many more people chose Thor than Batman?
Answer:
40% chose superman or thor
8% chose thor more than hulk
And 12% chose batman than Thor
Answer:
1) 40% of people chose Superman or Thor
2) 8% more people chose Thor than The Hulk
3) 15% more people chose Thor than Batman
Step-by-step explanation:
29 + 11 + 13 + 13 + 21 = 86
100 - 86 = 14
Batman: 14%
29 + 11 = 40
29 - 21 = 8
29 - 14 = 15
A six sided cube is rolled. What is the probability of getting a 3 and then a 4, givrn the first number rolled was 3.
Answer:
1/6
Step-by-step explanation:
Use conditional probability:
P(A given B) = P(A and B) / P(B)
P(4 given 3) = P(4 and 3) / P(3)
P(4 given 3) = (1/36) / (1/6)
P(4 given 3) = 1/6
I WILL MARK BRAINIEST
Answer:
m<4= 60
m<1=60
m<3=30
Step-by-step explanation:
I'd like to explain but I would be very difficult to do with out being in person
Answer:
m1 = 60°
m2 = 90°
m3 = 30°
m4 = 60°
Step-by-step explanation:
m<5 + m<4 = 180° ( on a straight line)
120° + m<4 = 180°
m<4 = 60°
m<2 = m<3 + m<4
90° = m<3 + 60° ( on a straight line)
m<3 = 90° - 60°
m<3 = 30°
m<1 + m<2 + m<3 = 180°
m<1 = 180 - 90 -30
m<1 = 60°
PLEASE HELP ME! THANK YOU !!
Doamin of the function
inf
Brooke already owns 4 necklaces, and additional necklaces are priced at 2 for a dollar. With $2 to spend on new necklaces, how many total necklaces can Brooke own? Write and solve an equation to find the answer.
4+1+1=6
Step-by-step explanation:
she already has 4 necklaces so than she got 2 for a dollar so that equals 6.
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
Answer:
That the graph of (f+g)(x) is a parent graph of f(x) and g(x)
Answer:
A. The leading coefficients of f(x) and g(x) are opposite
Step-by-step explanation:
a spring stretches to 18 cm with a 70 g weight attachment to the end. with a 100 g attached, it stretches to 24 cm . which equation models the distance y the spring stretches with weight x attached to it?
Answer:
Yes it is y=1/5x+4
Step-by-step explanation:
Jerry read a 200 page book in 10 hours. At that rate, how long will it take him to read a 320 page book?
16 hours
18 hours
24 hours
32 hours
A model of a park was built on a scale of 1.5 cm to 50 m. If the distance between two trees in the park is 150m, what is this distance on the model? *
0.5 cm
4.5 cm
75 cm
225 cm
The practice range at a golf course charges $4.00 for a bucket of 40 golf balls. At this rate, how much will a bucket of 100 golf balls cost? *
$10.00
$10.50
$13.50
$16.00
Step-by-step explanation:
1. 200 = 10h
320 =
320x10 / 200
= 16h
2. 1.5 = 50m
x = 150 m
150x1.5 / 50
= 4.5cm
3. 4$ = 40balls
x = 100balls
100x4 / 40
= $10
Five years ago, John’s age was half of the age he will be in 8 years. How old is he now? Show your steps.
Answer:
John is 18 years old at this point in time.
Step-by-step explanation:
This question is basic algebra. The equation you will need to write to solve it is (x-5) = (x+8)/2. When you solve this equation, the answer comes out to 18.
What is the value of x?
Answer:
I believe it is x+3..
Step-by-step explanation:
Answer:
x = 5
which agrees with the first answer option listed
Step-by-step explanation:
Use the proportionality associated with similar triangles, considering that the larger triangle has sides:
x + (x+5) = 2 x + 5
and
(x+1) + (x-2) = 2 x - 1
and the smaller triangle:
x and (x-2)
The we build the following proportionality:
(2 x + 5) / x = (2 x - 1) / (x - 2)
cross multiply to eliminate denominators:
(2 x + 5) (x - 2) = x (2 x - 1)
operate:
2 x^2 - 4 x + 5 x -10 = 2 x^2 - x
combine like terms:
2 x^2 + x -10 = 2 x^2 - x
subtract 2 x^2 from both sides:
x - 10 = - x
add x to both sides:
2 x -10 = 0
add 10 to both sides
2 x= 10
divide both sides by 2:
x = 5
which agrees with the first answer option listed
write the polynomial on descending order
[tex]2 {x}^{5 } + 14 - 3 {x}^{4 } \times 7x + 3x ^{3} [/tex]
Answer:
jkjjjjjjujhhhgvvvvvgvhjjhhhgvvg
Andrea has 8 books on her summer reading list . She has read 5 out of the 8 books.what percent does she have left to read! Pls help ASAP!!
Answer:
3 percent because 8-5=3
Step-by-step explanation:
Answer:
37.5%
Step-by-step explanation:
what are vowels in numbers
hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...
Answer:
the letter "u" and "e"
Step-by-step explanation:
vowels in english are: a, e, i, o, u
hope this helped but if you have any others questions, please feel free to let me know!
Pls help i dont get i t
The store is selling 6 oranges for $ 1.80. How much will it cost to buy 16 orange .Show work .
Answer:
$4.80
Step-by-step explanation:
6 oranges for 1.80
sp 6 divided by 1.80 comes out to 0.3 per orange
0.3 times 16 comes out to 4.80
therefor $4.80
Answer:
$4.80
Step-by-step explanation:
1.80/6=0.3
0.3=$0.30 for each orange
16×0.3=4.8
4.8=$4.80 for 16 oranges
A(4, -1), B(3, 8), C(-1, 1); y = -2
Answer:
Point A: (4, -3)
Point B: (3, -12)
Point C: (-1, -5)
Step-by-step explanation:
Reflection of point A:
The x will stay the same and only the y will change.
Take the y-coordinate and subtract it from the reflection line while getting the absolute value..
|(-1) - (-2)| = |1| = 1
This means, point A is one unit down the line y = -2
(-2) - 1 = -3
The coordinate for A will now be (4, -3).
Reflection of point B:
Again, the x will stay the same and only the y will change.
Using the absolute value, get the y-coordinate and subtract it from the reflection line again..
|(8) - (-2)| = |10| = 10
This means, point A is five unit down the line y = -2
(-2) - 10 = -17
The coordinate for B will now be (3, -12).
Reflection of point C:
I think you get the gist of it.
|(1) - (-2)| = |3| = 3
(-2) - 3 = -5
The coordinate for C will now be (-1, -5).
I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.
The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2
Hope this helped!
What is the standard form of y –7 = – 23 (x + 1)
Answer:
23x+y=-16
Step-by-step explanation:
2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Simplify: –6(2x – 5)
–12x – 30
–12x + 30
12x – 30
12x + 30
Answer: -12x + 30
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
-6(2x-5)
-6(2x+5)
-6(2x) + 6(5)
-12x +30
Function and Linear question look at the image
I will give brainliest if correct
Please help it’s due
1 = 70
2 = 20
3 = 70
4 = 20
5 =110