To determine where the maximum is for the graph of F(x)
Tính :
a) (a+b+c)^2
b) (a-b-c)^2
c) (a+b-c)^2
d) (a-b+c)^2
Answer:
a.) a² + b² + c ² + 2ab + 2ac + 2bc
b.) a² + b² + c² - 2ab - 2 ac + 2bc
c ) a² + b² + c² + 2ab - 2ac - 2bc
d.) a² + b² + c² - 2ab + 2ac - 2bc
Step-by-step explanation:
Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expressiona) ( a + b + c )²
= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc
= a² + b² + c ² + 2ab + 2ac + 2bc
b.) ( a - b - c )
= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)
= a² + b² + c² - 2ab - 2 ac + 2bc
c.) ( a + b - c )²
= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)
= a² + b² + c² + 2ab - 2ac - 2bc
d.) (a - b + c ) ²
= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)
= a² + b² + c² - 2ab + 2ac - 2bc
N is a number such that N ÷ 18= 16. What is the value of N?
Answer:
288 po
Step-by-step explanation:
288 divided by 18 is 16
PLSSSS HELP fast pls !!
Answer:
16p^2 - 9
Step-by-step explanation:
Use FOIL method of multiplication
Consider angle θ in Quadrant II, where cosθ=−12/13. What is the value of sinθ?
Answer:
The value of sin theta is 5/13
Step-by-step explanation:
In the second quadrant, sin is positive and cos is negative
Cos theta = -12/13 = adjacent/hypotenuse
Sin theta = opposite/hypotenuse
opposite = sqrt(hyp² - adj²) = sqrt (13² - 12²) = sqrt (169 - 144) = sqrt (25) = 5
Sin theta = opposite/hypotenuse = 5/13
the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle
Answer:
length: 7in.
width: 5in.
Step-by-step explanation:
so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5
hope this helps! lemme know if you need more
TRUE FALSE?
When we divide fractions we change the division sign to a multiplication sign and flip, or take the reciprocal, of the second fraction.
which of the following is most likely the next step in the series?
Answer:
D
Step-by-step explanation:
The function of f is defined by f(x)=x²-2x-24, find the range of f
Answer:
[-25, ∞) , {y|y ≥ -25}
Step-by-step explanation:
^^^
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THANK YOU.
Answer:
8 5/18
Step-by-step explanation:
3 5/6 + 4 4/9
Get a common denominator of 18
3 5/6*3/3 = 3 15/18
4 4/9 * 2/2 = 4 8/18
3 15/18 + 4 8/18
7 23/18
7 + 18/18 + 5/18
7+1+5/18
8 5/18
Answer:
[tex]8\frac{5}{18}[/tex]
Step-by-step explanation:
[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]
6 = 2 × 3
9 = 3 × 3
LCM of 6 and 9
LCM = 2 × 3 × 3
LCM = 18
[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]
[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]
[tex]7+\frac{15+8}{18}[/tex]
[tex]7+\frac{23}{18}[/tex]
[tex]7+1\frac{5}{18}[/tex]
[tex]8\frac{5}{18}[/tex]
Some hep with this question pls rewrite each of these statements using mathematical symbols question) therefore the number X equals the square root of 72
Answer:
[tex]x = \sqrt{72[/tex]
Step-by-step explanation:
Given
Number x [tex]equals[/tex] square root of [tex]72[/tex]
Required
Rewrite using mathematical symbols
equals is represented as: =
So, we have:
Number x [tex]=[/tex] square root of [tex]72[/tex]
Number x can be written as just "x". So, we have:
x [tex]=[/tex] square root of [tex]72[/tex]
square root is represented as: [tex]\sqrt[/tex]. So, we have:
[tex]x = \sqrt{72[/tex]
Divide the product of 11 1/5 and 47 by the difference of 6/45 and 1/10
15 POINTS!!! Please please help out!!! If you can!! I have other things on my account worth a lot of points so if you can help out that would be so helpful
Answer:
The maximum is -3
and the third one -3<f(x)≤ -3
Step-by-step explanation:
Let's start by expanding the exponent
-(x+7)²= -(x²+14x+49)= -x²-14x-49
simplify
-x²-14x-49-3= -x²-14x-52
To find the maximum/minimum take the first derivative
-x²-14x-52= -2x-14
set this equal to 0
-2x-14= 0
x= -7
We then plug in x= -7 into the equation to find the y value
Because the coeficcent for the degree is negative (it's -1) this is a maximum
-(-7+7)²-3 = -3
Because -3 is the highest point the graph's range is -∞<f(x)< -3
Therefore the maximum i
identify the solution to the following system of equations: 2x + 5y = 14 and x + 2y = 5
Answer:
(-3, 4)
Step-by-step explanation:
yeah
Find the value of the angle θ rounded to 1 DP.
The diagram is not drawn accurately
Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
How do I solve this please? Can SOMEONE please help me this and the ones Iposted on my page.
Answer: [tex]\dfrac{15}{64}[/tex]
Step-by-step explanation:
Given
Inside radius of figure [tex]r_1=\frac{14}{2}=7\ ft[/tex]
Outside radius of figure [tex]r_2=\frac{16}{2}=8\ ft[/tex]
Area of outside region is [tex]A_1=\pi (8^2)[/tex]
Area of inside region [tex]A_2=\pi (7)^2[/tex]
Area of shaded region [tex]A_1-A_2[/tex]
Probability that point lies inside the shaded region is
[tex]\Rightarrow P=\dfrac{A_1-A_2}{A_1}\\\\\Rightarrow P=\dfrac{\pi (8^2-7^2)}{\pi 8^2}\\\\\Rightarrow P=\dfrac{64-49}{64}\\\\\Rightarrow P=\dfrac{15}{64}[/tex]
Write 2.073 in expanded form.
Answer:
2 + 0.0 + 0.07 + 0.003
Step-by-step explanation:
Pretty much just adding the whole number and decimal.
2 (whole number) + 0.073
Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
Answer:
(B) Parallel to x-axis
Step-by-step explanation:
y = 7
This is a constant line, in which the value of y is always of 7, no matter the value of x.
In a line in which the value of y is constant, this line is parallel to the x-axis, so the correct answer to this question is given by option b.
steve earns extra money babysitting , he charges $27.00 for 4 hours and $47.25 for 7 hours. enter an equation to represent the relationship . let x represent the numbers of hours Steve babysits and y represent the amount he charges
Answer:
y=6.75x
Step-by-step explanation:
he xharges 6.75 per hour, so 6.75x equals the total price, y
What are the more appropriate measures of center and spread for this data set?
Select two choices: one for the center and one for the spread.
A. Better measure of spread: the standard deviation
B. Better measure of center: the mean
C. Better measure of center: the median Pan
D. Better measure of spread: the interquartile range (IQR)
Answer:
C. Better measure of center: the median
D. Better measure of spread: the Interquartile range
Sam needs to find the circumference of a circle with a diameter of 24 inches. He uses a calculator to find the circumference. Which answer is reasonable?
72.013678 in
75.398223 in
85.335372 in
80.332161 in
Answer:
75.398223
Step-by-step explanation:
Circumference Formula: 2πr or dπ ⇒ r=radius and d=diamater
1.) π≈3.14
2.) 24×3.14=75.36
Which of the following best describes the term postulate?
A. A statement that is not officially defined but that is understood to be common sense
B. A precise statement of the qualities of an idea, object, or process
C. A logical arrangement of deductions that leads to the conclusion that a statement is always true
D. A statement that is assumed to be true without proof
Answer:
D. A statement that is assumed to be true without proof
Step-by-step explanation:
I would like to see the answer for number one. You don't need to solve the rest.
Answer:3/4
Step-by-step explanation:
tan^2+1=sec^2
What is the slope of the line? − 3 x + 5 y = 2 x + 3 y
Answer:
m=5/2
Step-by-step explanation:
just did
The table shows the number of tickets sold and the profit made at a fundraiser.
Tickets Sold
Profit
2
$18
4
$36
6
$54
8
$72
Which describes the relationship between the number of tickets sold and the profit?
Each ticket sold yields $8 of profit.
Each ticket sold yields $9 of profit.
Each ticket sold yields $16 of profit.
Each ticket sold yields $18 of profit.
Answer:
each ticket sold it worth $9
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
got it right
Please help thanks! Please put answer is square millimeters
Answer: 239
Step-by-step explanation:
3x7=21
(16+5)x16=336, 336/2=168
5x10=50
add them all together to get 239
hope this helps!
Find the solution to the system of equations x = -6 + 2y and x = 2y + 2.
x=-6+2y
x=2+2y
by subtraction
___________________________
x=-8
Substitute x by one of the two equations :
x=-6+2y
-8=-6+2y
2y=-8+6
2y=-2
y=-2/2
y=-1
I think this is the answer
I hope I helped you^_^
Jen wants to finish half of her book. She is on page 24. The book has 68 pages. The equation shown represents this situation. 24+□=68÷2 Which is the missing number that represents how many more pages Jen must read to finish half of her book?
68Answer:
10
Step-by-step explanation:
68/2=34
24+10=34
How many sides do 2 hexagons and 2 pentagons have in all?
Answer:
22 sides total
Step-by-step explanation:
a hexagon has 6 sides, while a pentagon has 5 sides. In order to find out how many there are total, we would multiply each by two, and add them together.
[tex]2(6)+2(5)=\\12+10=22[/tex]
Is y = 3 a possible solution to the following system of equations? Explain why or why not.
X + 2y + z = 28
3x + 3z = 60
O y = 3 is not possible because when 3 is submitted in for y in the first equation the value for x + z is not 20.
O y = 3 is possible because when 3 is substituted in for y in the first equation the value for x + 2 times 3 is 60.
Oy - 3 is possible because there is no y term in the second equation so y can be any value.
Oy - 3 is not possible because there is no y term in the second equation making it a no solution situation
No
Step-by-step explanation:
y = 3 is not possible because when 3 is submitted in for y in the first equation the value for x + z is not 20.
Given: AD diameter of Circle P. If m 1 = 40°, then m AB = A)80 B)40 C)20
Answer:
20
Step-by-step explanation:
lol
Answer:
20
Step-by-step explanation: