Answer:
It is always positive because the discriminant is negative and therefore has no roots. This can also be interperted as the equation will always be above the x-axis on the parabola and therefore always be positive.
Step-by-step explanation:
The value of the quadratic expression (x - 4)² + 4 will be always positive.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient. Then the equation of the parabola will be given as,
y = a(x - h)² + k
The quadratic expression is given below.
⇒ x² - 8x + 20
Convert the expression into a vertex form, then we have
⇒ x² - 8x + 16 + 4
⇒ (x² - 2 · x · 4 + 4²) + 4
⇒ (x - 4)² + 4
Thus, the value of the expression (x - 4)² + 4 will be always positive.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ2
Find the midpoint of the segment with the following endpoints.
(7, -2) (1, -10)
Answer:
(4, -6)Step-by-step explanation:
The formula of a midpoint of the segment AB:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have A(7, -2) and B(1, -10). Substitute:
[tex]M_{AB}\left(\dfrac{7+1}{2};\ \dfrac{-2+(-10)}{2}\right)\\\\M_{AB}\left(\dfrac{8}{2};\ \dfrac{-12}{2}\right)\\\\M_{AB}(4;\ -6)[/tex]
Under the following translation, (x,y) becomes (x-2, y+2) the point (1,1) will become _____.
Answer:
( - 1, 3 )
Step-by-step explanation:
( 1 - 2 , 1 + 2 ) = ( - 1, 3)
(1, 1) -----> ( - 1, 3 )
The term GLOBAL ETHIC refers to a set of common moral values and ethical standards which are shared by the different faiths and cultures on Earth.
These common moral values and ethical standards constitute a humane ethic, or, the ethic of humanity. In view of the process of globalization this ethic of humanity has been termed by the famous Roman Catholic theologian and philosopher Professor Hans Küng as the “GLOBAL ETHIC”.
Although the concept of a GLOBAL ETHIC was at first introduced by Professor Hans Küng in 1989 it is, in his own words, “not a new invention but only a new discovery” of common principles which are as old as humankind.
There can be no doubt that a globalizing world with its tremendous social, ecological and moral problems needs a globalization of moral values and ethical standards, in short: a GLOBAL ETHIC, in order to survive as a place where our grandchildren and great-grandchildren can live a decent life.
CAN ANY ONE HELP ME GET 5 BRAINIEST
Answer:
Hey josh I am queen this is my new account hope u r ok and safe please why don’t u talk to me please josh
Step-by-step explanation:
I still love you josh I love you more then anything u will be in heart forever even tho u love country girl but I don’t care
I swear I am crying right now
3/4 (x - 3) - 1/2 2/3 whats the value of x
3/4. x - 3/4 . (-3) -1/2 . 2/3 = 0
3/4x - 2.25 -3/4 = 0
3/4x -2.25 = 3/4
x - 2.25 = (3/4)/(3/4) or just 1
x = 2.25 + 1
x = 3.25
Answer:
probably wrong
Step-by-step explanation:
3/4 (x - 3) - 1/2 2/3 [all x4]
12/4 . 4(x-3) -4/2. 8/3
3. 4x-12 -2 . 8/3 [all x3]
9. 12x-36 -6 . 8
108x - 36 -48
108x = 36 + 48
108x = 84
x = 84/108
x = 7/9
Mai paid $16 for 4 pumpkin pie slices. How many pumpkin pie slices is that per dollar?
Determine whether the graph represents a function
Answer:
Step-by-step explanation:
18). Graph represent a function
19). Graph does not represent a function
i dont know why i am in algebra when I dont understand it, is there anyone out there willing to help me understand it?
Answer:
i belive the answer is B
Step-by-step explanation:
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach the coach buys. The situation is represented by the function rule a=16b.
Complete the following table of values.
3(5 - 2n) + 9n simplified is?
Answer:
5n-2n²
---------- <--- line
3
heLp pLs aNd tHanK yOUz
Answer:
5
1
20
4
35
7
45
9
50
10
Step-by-step explanation: each table holds 5 people, multiply the number of tables by 5 or divide the number of people by 5 to see how many tables needed
Estimate. Then divide. 54184 divided by 26
Answer:
1,923.076923076923
Step-by-step explanation:
54,184 (look to the right; the number is lower than five so round down)
50,000/26=1,923.076923076923 (or 1923)
The temperature in Alaska dropped –50.16°C in 5.7 hours. How much did the temperature drop per hour? 5.7°C 8.8°C –5.7°C –8.8°C
Answer:
–8.8°C
Step-by-step explanation:
ite a number of your choice, using the followi a two digit number greater than 40 divisible by both 2 and 3
Answer:
60
Step-by-step explanation:
60 ÷ 2 = 30
60 ÷ 3 = 20
Have a nice day :)
PLEASE HELP ASAP The skate pro company manufactures skateboards. They found 12 defective skateboards in a batch of 400. How many defective skateboards might they find in a batch of 1,200?
What is the probability that a skateboard is defective?SIMPLIFY
a)3/100
b)12/400
c)4/100
Answer:
I believe the answer is A. love your pfp btw
Step-by-step explanation:
12/400 is .03 or 3%
help pleaseeeeeeeee
Answer:
its a little blury but i got -3,-9
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.32852.html
Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle. C 6a - 8 4a-2 MathBits.com A B Side BC = Side AC = Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as Triangle ABC:
Answer: a = 2; AC = BC = 10
Step-by-step explanation:
AC = BC => 6a - 8 = 4a - 2
<=> 2a = 6
<=> a = 3
=> AC = 6.3 - 8 = 10
AC = BC => BC = 10
7)Find the missing side. Round to the nearest tenth.
).
6
х
18°
A) 1.5
C) 1.9
Choice A
B) 1.0
D) 19.4
Choice B
Choice C
Choice D
Mike spent half of his allowance playing acrade games his parents let him wash the gutters for 5.80 if he ended with 12.20 what is his weekly allowance
Answer:
Weekly allowance (W) = 12.80
Step-by-step explanation:
Given:
Ended amount = 12.20
Amount for guitar wash = 5.80
Find:
Weekly allowance (W)
Computation:
W + 5.80 - W/2 = 12.20
W + 5.80 - 0.5W = 12.20
0.5 W = 6.4
Weekly allowance (W) = 12.80
Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.
Answer:
Step-by-step explanation:
Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.
Since;
<B = <C = 60°
Then,
<A + <B + <C = [tex]180^{o}[/tex]
<A + 60° + 60° = [tex]180^{o}[/tex]
<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]
= 60°
Thus,
AB = BC = AC = 6 inches
The construction is attached to this answer.
Consider the expression shown.
(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)
Part A. The value of the exponent of x in the simplified expression will be
1. -18
2. -9
3. 3
Part B. The value of the exponent of y in the simplified expression will be
1. -35
2. -12
3. -2
Part C. The value of the exponent of z in the simplified expression will be
1. -6
2. -2
3. 8
Answer:
3, 3 and 1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]
A
[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3
B
[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2
C
[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6
brainliest, thanks, 5 points, and a nice comment if you get this.
Answer:
A
Step-by-step explanation:
Just look up the formula for the area of a circle. There's a calculator that you put the radi in and gives you an almost perfect answer.
Answer: I think it’s A
Step-by-step explanation
Cheyenne is deciding between the ways she has to buy music. Albums on CD cost
$13 but downloads of an album only cost $10. If she can spend up to $150 on
music purchases, which of these expresses her purchasing restrictions when she
buys c CDs and downloads d albums?
Answer:
13c+10d>150
Step-by-step explanation:
bicycle rental company charges a $5 flat fee plus $1.20 per hour. Select the expression that represents renting a bicycle for h hours. A. 5h + 120h B. (5 + 1.20)h C. 5 + 1.20h D. 5h + 1.20
Answer:
a
Step-by-step explanation:
What is the image of (-9,6) after a dilation by a scale factor of 44 centered at the origin?
Answer:
(- 396, 264 )
Step-by-step explanation:
Since the dilatation is centred at the origin, then multiply each of the coordinates of the point by the scale factor, that is
(- 9, 6 ) → ( (- 9 × 44 ), (6 × 44 ) ) = ( - 396, 264 )
Kenny had a total of 140 minutes to read, do homework, and play video games he spent x minutes reading, he spent 2(x+5) minutes doing homework, he spent 25 minutes playing video games how many minutes did Kenny spend reading
Answer:
He spent 52.5 minutes reading.
Step-by-step explanation:
The equation from the word problem is 2(x+5)+25=140. Distribute 2 to the parentheses and get 2x+10+25=140. Combine like terms to get 2x+35=140. Subtract 35 from both sides and get 2x=105. Divide both sides by 2 and your final answer is x=52.5
What’s the algebraic expressions of (7+10x)+3
Let f(x) = 6x - 5 and g(x) = 8x, for x E R.
Write down g(2).
Find (fog)(x)
Answer:
48x -5
Step-by-step explanation:
(fog)(x) = f(g(x)) = 6(8x)-5 =48-5
You can just give an answer.
Find a rectangle so that its height is 1/5 of its width and its perimeter is 120.
Answer:
Step-by-step explanation: 50 x. 10
In 2016 Jane was 14 years old. At that time she was 7 times as old as her brother, Jim. In what year will Jane be twice as old as Jim will be then?
Answer:
Step-by-step explanation:
Mary will be twice as old as her brother when the age of her brother is equal to the ... Add this value of 8 to Mary's & her brother's present age. ... In three years time I will be half my brother's age. ... In 4 years, she will be four times as old as her son was 9 years ago