Answer:
Step-by-step explanation:
Remark
Unless you know calculus, the only way to solve this is by completing the square.
Solution
y = 4x^2 + bx - 2
y = 4(x^2 + b/4 ) - 2
y = 4(x^2 + b/4 + (1/2b/4)^2 ) - 2 - 4*(b/8)^2
y = 4(x^2 + b/4 + (b/8)^2 ) - 2 - b^2/16
y = 4(x + b/8)^2 - 2 - b^2/16
Now what you want to happen is to give b/8 a value of 1 so that when x is put in -1 you get 0 for what is inside the brackets.
b/8 = 1
b = 8
y = 4(x + 1)^2 - 2 - (8)^2 / 16
y = 4(x + 2)^2 - 2 - 4
y = 4(x + 1)^2 - 6
The vertex is at (-1, - 6)
The axis of symmetry is x = - 1
Note
This could have been done a lot shorter just by realizing that the number inside the brackets had to be + 1 as in (x + 1). But then you would not have been able to know the minimum value for y which is - 6
find the value of given expression
[tex] \sqrt{66 + 15} [/tex]
Answer:
9
Step-by-step explanation:
Hope this helps, let me know if im correct
Answer:
√{66+15}=√81=√9²=±9 is your answer
A pond contains 3,000,000 liters of water. How is this number written in scientific notations?
So bassically I have to write this as it is too short, but the answer is = 3 x 10^7
The given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
Given that, a pond contains 3,000,000 liters of water.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.57×10³.
The given number written in scientific notations is
3,000,000 = [tex]3\times10^6[/tex]
Therefore, the given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].
To learn more about the Scientific notation visit:
https://brainly.com/question/18073768.
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steps for gcf of 40x, 60x
Answer:
20x
Step-by-step explanation:
1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.
2) put them together GCF: 20x
Can someone please help me !!
Answer:
(3a + 2)(a + 3)
Step-by-step explanation:
24% of what number is 6?
Answer:
6 is 24% of 25
Step-by-step explanation:
The sum of two numbers is 68. Their difference is 15. Write a system of equations you could use to solve this problem.
Answer:
x+y=68
x-y=15
Step-by-step explanation:
A "sum" means that we will be using addition, while a "difference" indicates subtraction. Anytime we have two unknown numbers we generally use "x" and "y".
In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.
Answer:45cm
Step-by-step explanation:delta
solve for x
a) -11
b) -10
c) 11
d) 10
Question
Type the forest answer in the box
A pack of 12 sedas costs $5,04 What is the unit rate in dollars per soda/
The unit rate in dollars per soda is
Evaluate the expression when y = 6 and x = 9
x+8y
Answer:
57
Step-by-step explanation:
9+8(6)
9+48
57
Answer:
57
Step-by-step explanation:
8*6=48
9+48=57
Round 0.731 to the nearest hundredth.
Answer: 0.73
Step-by-step explanation:
Answer:0.73
Step-by-step explanation: none the answer is right
fleas have six legs are five fleas on the dog in 3 fleas on the cat how many legs are there altogether
Answer: 90
Step-by-step explanation:
Answer:
48 legs
Step-by-step explanation:
5 times 6 equals 30
3 times 6 equals 18
Apply the Pythagorean Theorem to find the distance between points A and C
A: 29 units
B: 40 units
C: 58 units
D: 116 units
Answer:
c 116
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
( 7 x 5 ) ( 9 x 3 ) simplify
Step-by-step explanation:
(7 x 5) (9 x 3)
=(35) (27)
=35 x 27
=945
Answer:
If this is an expression, then 945
If these are invidual factors, then (35) (27)
Step-by-step explanation:
Situation one: Multiply the numbers. Paranthesis are not needed as multiplication is communitive, which leads me to believe they are factors written out in that form for some reason, cit. possibility two.
Which trinomials are perfect square trinomials?
Select each correct answer.
O y2 + 18y + 81
O y2 + 20y + 100
O y2 + 25y + 200
Oy + 6y + 36
The mean of six numbers is 14. If one of the six numbers is removed, the mean becomes 5. What is the value of the number removed?
Answer:
Remember, the mean is calculated by adding the scores together and then dividing by the number of scores you added. In this case, the mean would be 2 + 4 (add the two middle numbers), which equals 6. Then, you take 6 and divide it by 2 (the total number of scores you added together), which equals 3.
Step-by-step explanation:
Hope I helped.It's just a reminder of helpful things for means!
Answer:
59
Step-by-step explanation:
Suppose a, b, c, d, e and f represent the 6 numbers.
Then, [tex]\frac{a + b + c + d + e + f}{6} = 14\\[/tex]
(1) a + b + c + d + e + f = 84
Let's remove f
then [tex]\frac{a + b + c + d + e}{5} = 5[/tex]
(2) a + b + c + d +e = 25
Substitute 25 in for a + b + c + d +e in equation (1)
We have 25 + f = 84
f = 59
What is the perimeter of the triangle below?
O 30
015
0 42
O 35
In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2010, to the nearest hundred dollars?
Answer:
$15,746.400
Step-by-step explanation:
The computation of the car value in the year 2010 is shown below:
Since the new car brought in the year of 2006 at $24,000
And, it would be depreciation by 10%
So, in the year 2010 the car value would be
= $24,000 × (1 - 0.10)^4
= $24,000 × 0.9^4
= $15,746.400
A box has a volume of 20 cubic inches. If the base has dimensions of 2 inches by 4 inches, what is the height of the box?
Answer:
h = 2.5 in
Step-by-step explanation:
v = bwh
20 = 2x4xh
h = 2.5 in
what's the answer ?
[tex] \frac{ \sqrt{225} }{ \sqrt{} 25} [/tex]
Answer:
Hello.....
15/5
Step-by-step explanation:
thanks
Answer:
3
Step-by-step explanation:
here's your solution
=>. first u have to find out the root of 225
which is 15
=> and also root of 15 which is 5
=> now,we have to divide 15 by 5
=> hence, answer is 3
hope it helps
A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)
Answer:
it can go to 160 on in 18 hours so the the answer could be 26 hours
What is the area of the polygon in square units?
Answer:
(d) 80 square units
Step-by-step explanation:
As with many composite area problems, this can be worked any of several ways. The attached shows trapezoid ABCE, from which triangle CDE can be removed to get the desired area.
The relevant formulas are ...
A = (1/2)(b1 +b2)h . . . . . . area of a trapezoid
A= (1/2)bh . . . . . . . . . . . . area of a triangle
__
Here, the trapezoid has bases 12 and 2, and height 12, so its area is ...
A = (1/2)(12 +2)(12) = 84 . . . . square units
The triangle has a base of 4 and a height of 2, so its area is ...
A = (1/2)(4)(2) = 4 . . . . square units
Then the area of the desired figure is ...
84 - 4 = 80 . . . . square units
Question 6
An environmental group volunteers to pick up trash along a road that is
Brady's claim correct?
milelong. The volunteers divide the road to 4 sections adams that each section of the roads
5
4
Yes How
Answer:
23
Step-by-step explanation:
is the answer to the problem
(1/5 x 5)^5 help please
Answer:
=1
Step-by-step explanation:
i hope this helps :)
I need help very fast please !
Answer:
Contents of this laser is 0.744 um and is a concise description of many of the in struments used in
Step-by-step explanation:
1.Introduction for the Royal College of Ophthalmologists and Ophthalmologists and I will #ثوره_طلابية غاضبة على قرار وزاره التعليم العالي باصدارها القرار المجحف وعليه يبداء من الان الاعتصام الطلاب #والاضراب_عن_الدوام لحين تحقيق المطالب.
تعليم الكتروني = امــتـحـان الكتروني
تعليم حضوري = امــتـحـان حضوري07725134341
The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?
Answer: 89.4427
Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.
a=√120^2−80^2
a=√14400−6400
a=√8000
a=89.4427
I hope this is what you are looking for :)
Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of a guy's wire supporting a cell tower is 120 meters.
The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.
We know that the Pythagoras theorem.
[tex]\rm H^2 = P^2 + B^2[/tex]
We have
H = 120 m
B = 80 m
Then by the Pythagoras theorem, we have
[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]
Thus, the height of the tower is 89.44 m.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
solve for 65+5x and please show work :)
Answer:
If it were supposed to be a factor, 15 ( 3 + x )
Step-by-step explanation:
5 ( 13 + x )
5 x 13 = 65
5 times x = 5x
So you'd add them both,
65 + 5x
I don't think you can get an exact answer for it.
Also in order for me to solve for x, if that's what you are trying to find. You need to give me a (y) to make it into a slope intercept form.
I’ll give Brainliest I need help please & thanks
Evaluate 18 + 2y, when y= 7
Answer:
32
Step-by-step explanation:
18 +2(7).
2 x 7 = 14
18 + 14 = 32.
I need help finding the rate of Change please!
Answer: rise(y axis) over run (x axis)
rate of change/slope is 2x