Answers
9514 1404 393
Answer:
vertex: (2, -3.2)
axis of symmetry: x = 2
zeros: x=0, x=4
formula for axis of symmetry:
x = <x-coordinate of vertex>x = -b/(2a) . . . . . . . where the quadratic is ax^2 +bx +cx = average of zeros, (z1 +z2)/2Step-by-step explanation:
a) The vertex x-coordinate is halfway between the zeros, so is x = (0+4)/2 = 2. It is where the graph has a turning point.
The vertex y-coordinate is the low point of this graph. It is not on a grid line, so we can only guess at its value. I choose to call it -3.2.
The vertex is (2, -3.2).
__
b) The axis of symmetry is the vertical line through the vertex. The constant in its equation is the x-coordinate of the vertex:
x = 2
__
c) The zeros of the function are where the function crosses the x-axis. These are marked on the graph with red dots. The zeros are x=0 and x=4.
__
d) When the quadratic is written in standard form, ax^2 +bx +c, the equation of the axis of symmetry is ...
x = -b/(2a) . . . . . perhaps this is the formula you're being asked for (?)
When there is no equation, the axis of symmetry can be found from the graph a couple of ways. One is to identify the x-coordinate of the vertex.
x = <x-coordinate of the vertex>
Another is to average the zeros, since they are symmetrical about the axis of symmetry.
x = average of zeros = (z1 +z2)/2
If the quadratic is written in vertex form, the vertex coordinate is the constant in the equation for the axis of symmetry.
y = a(x -h)^2 +k . . . . . quadratic with vertex (h, k)
x = h . . . . . . equation of axis of symmetry
Related Questions
A company's profit from 1990 to 2020 is modeled by P(t) = .35t^2 - 10.7t + 125.38 where t=0 represents 1990. In which year did the company make the minimum profit?
Answers
Based on how the graph turns out 15 years into the business is when the company made its minimal profit.
Please help
Is that right?
Answers
Answer:
Yep your very smart
Step-by-step explanation:
Answer:
yep
Step-by-step explanation:
since a triangle's total angle is 180 degrees,
(5x + 18) + (3x + 2) + (x + 16) = 180
9x + 36 = 180
9x = 144
x = 16
m<D = (3x + 2)
m<D = 3(16) + 2
m<D = 48 + 2
m<D = 50 (your answer)
HELPPP I WILL GIVE YOU BRAINLIEST WALLAH
Answers
Answer:
78qt= 19.5 U.S. gallons
Step-by-step explanation:
what is the volume of the cylinder shown below to the nearest hundredth of a cubic meter 3.5 m w 2 m height
Answers
Answer:
The answer is 76.97
Step-by-step explanation:
The formula that I used
V=πr^2h
Volume = π·3.52·2 ≈ 76.96902
Answer:76.93
Step-by-step explanation:
6th grade math help me please...
Answers
Answer:
B and D
Step-by-step explanation:
a. 5t+4t =9t
b. t+5+4= t+9
c. 9t
d. 4×5×t= 20t
e. t(5+4)- do the inside the parenthesis first. =9t
the answer would me B and A because the answer isn't 9t so it would be those!! also the boxes on the right you multiply t×5 and t×4 and that would be 5t + 4t =9t
Mrs. Johnson baked 2 dozen cookies.Two-thirds of the cookies were oatmeal. How many oatmeal cookies did Mrs. Johnson bake?
Answers
Answer:
16
Step-by-step explanation:
2 dozen = 24 cookies
24*(2/3) = 16 cookies are oatmeal
What is the solution to x-1=-2x+5
Answers
Answer:
x = 2
Step-by-step explanation:
Solve for x
x - 1 = -2x + 5
3x = 6
x = 2
Answer: 3
Step-by-step explanation:
1×-2=-2
-2+5=3
-2×1+5=3
I hope this helps, have a good day or night:)
The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?
Answers
HELP!
y = 2.5x + 5.8
when x = 0.6
Answers
Answer:
[tex]y = 7.3[/tex]
Step-by-step explanation:
y = 1.5 + 5.8
y = 7.3
Find the third side in simplest radical form
Answers
Answer:
√53
Step-by-step explanation:
hypotenuse (h) = √89
base (b) = 6
perpendicular (p) = ?
we know by using Pythagoras theorem
p = √(h² - b²)
= √(√89)² - 6²
= √ 89 - 36
= √ 53
Help help help help me me
Answers
Answer:
Step-by-step explanation:
Sorry
Answer:
1380
Step-by-step explanation:
Using proportion, then
1 Km² → 60 people , then
23 Km² → 60 × 23 = 1380 people
Solve
x + 2y = 3
x - y = 6
x = ?
y = ?
Answers
x=7
that's the answer !!
b. x +6 <-8 and x-1 > -1
Answers
Answer:
what is the question? please write a question.
Someone help me plz ???
Answers
Answer:
158cm squared
Step-by-step explanation:
Area of triangle=1/2×b×h
Area of rectangular base of prism=l×w
Area of 2 rectangular sides of the prism=l×w
So Total surface area= 1/2×6×5×2)+(8×6)+(8×5×2)=158cm squared
find the volume of metal required to make a closed box of thickness 1 cm with external measurements 12 cm × 7 cm × 10
Answers
Answer:
The volume of the metal is:
[tex]V_{t}=548\: cm^{3}[/tex]
Step-by-step explanation:
First, let's find the volume of the front face of the square:
[tex]V_{1}=12*7*1=84\: cm^{3}[/tex]
The back face is the same, so we have:
[tex]V_{2}=84\: cm^{3}[/tex]
The volume of the side faces will be:
[tex]V_{3}=7*10*1=70\: cm^{3}[/tex]
[tex]V_{4}=70\: cm^{3}[/tex]
And finally, the volume of the top and bottom side faces of the box will be:
[tex]V_{5}=12*10*1=120\: cm^{3}[/tex]
[tex]V_{6}=120\: cm^{3}[/tex]
The total volume of the metal will be:
[tex]V_{t}=V_{1}+V_{2}+V_{3}+V_{4}+V_{5}+V_{6}[/tex]
[tex]V_{t}=2(84)+2(70)+2(120)[/tex]
[tex]V_{t}=548\: cm^{3}[/tex]
I hope it helps you!
70 out of 350 calculators at a bookstore are scientific calculators. What percent of the calculators are scientific calculators?
Answers
0.2 x 100 = 20
it’s 20%
Wally's Used Cars has 45 cars on the lot. Of the 45, 20% of the cars are red. How many red cars are on the lot?
-9
-20
-25
-36
Answers
Answer:
9
Step-by-step explanation:
20% is equivalent to the decimal .2
Then multiply .2 x 45
45(.2) = 9
Please helppp. Fkdkdk
Answers
(line under the greater than symbol on top)
y<-3
9What is the Area of the Scalene triangle? Select the answer and the correct units (two selections). Need the answer ASAP.
Answers
Square inches
Explanation: A=1/2bh
A=1/2*4.5*8=18
And area is in units squared and the units are inches in this problem so it would be 18 inches squared
The longest side of triangle is 10 cm which group of line segments could form the other 2 sides of the triangle
Answer
A 5cm and 5 cm
B 7cm and 8cm
C 4cm and 4cm
D 9cm and 10 cm
Please i need to know
Answers
Answer:
The group of line segments that could form the other 2 sides of the triangle is;
B. 7 cm and 8 cm
Step-by-step explanation:
The triangle inequality theorem states that the sum of the length of any two sides of a triangle is larger than the length of the third side
The given parameter of the triangle is that the length of the longest side of the triangle = 10 cm
Let, 'a', and 'b', represent the remaining two sides of the triangle
Therefore, by the triangle inequality theorem, we have;
(1) a + b > 10 cm
(2) 10 cm + a > b
(3) 10 cm + b > a
The option that satisfies condition (1), (2), and (3) are options 'B' and 'D', for which we have;
7 cm + 8 cm = 15 cm > 10 cm
10 cm + 7 cm = 17 cm > 8 cm
10 cm + 8 cm = 18 cm > 7 cm
9 cm + 10 cm = 19 cm > 10 cm
10 cm + 9 cm = 19 cm > 10 cm
10 cm + 10 cm = 20 cm > 9 cm
Therefore, the possible combination of the other two sides are;
7 cm and 8 cm or 9 cm and 10 cm
However, a side of option 'D' is 10 cm and given that the longest side of the triangle = 10 cm, the length of each of the other two side should be less than 10 cm and the only given possible combination of the other two side should be option 'B', 7 cm and 8 cm.
Answer:
B 7cm and 8cm
Step-by-step explanation:
what is 2/4 x 3/5 = 3.14
Answers
Answer: It is false
Step-by-step explanation:
2/4x3/5=3.14
1/2 x 3/5=3.14
3/10=3.14
0.3=3.14
This is false
Answer:
Hey mat its me haylee id k if you remember me cuz its been a long while and im sorry about that but id like to talk again sometime soon.
Step-by-step explanation:
In ΔKLM, m = 320 cm, ∠L=123° and ∠M=52°. Find the length of l, to the nearest centimeter.
Answers
Answer:
341
Step-by-step explanation:
l=
sin52/320sin123
≈340.572≈341
I need a minimal of 3 paragraphs explain how the problem was solved and if it’s correct, please help!
Answers
That is a question about spatial geometry.
In our problem, we have to calculate lateral surface area of a triangular prism. Let's see how to solve this.
A triangular prism has 5 faces: 3 equals rectangles and 2 equals triangles. If we can find a way to calculate those areas, we can solve the problem.
The first thing that we should note is that we know the dimensions of the rectangular faces. The dimesions of the rectangular are 5cm and 8cm. To calculate the are of a rectangle, we multiplicate the dimensios of it. Therefore, each rectangle (in our problem) has [tex]5 \times 8 = 40cm^2[/tex] of area. There are 3 rectangles, so, the sum of the 3 rectangular area is [tex]40 + 40 + 40 = 120cm^2[/tex].
Now, we need to know the area of the triangular areas. To calculate the area of a triangle, we need to know the value of the base and the value of the height.
In the image, we know the value of the base, but we do not know the value of the height. To calculate the height, we can use the Pythagorean Theorem because we have a right triangle. (Please find attached the document.)
The Pythagorean theorem says that:
[tex]\boxed{a^2 = b^2 + c^2}[/tex]
a is the hypotenuse and b and c are cathetus.
In this right triangle, the value of the hypotenuse is 5cm and the value of one cathetus is the half of 6cm (that is 3cm). Let's replace the values in the expression:
[tex]a^2=b^2+c^2\\5^2= 3^2 +c^2\\25 = 9 + c^2\\c^2 = 25 - 9\\c^2 = 16\\c = \sqrt{16} \\c = 4cm[/tex]
Now, we know the bases and the height of the triangular areas. To calculate the area of a triangle, we multiply the base and the height and we divided the result by 2. See the expression:
[tex]\boxed{A_t=\frac{b\times h} {2}}[/tex]
b is the base and h is the height. Let's replace the values in the expression:
[tex]A_t = \frac{b\times h}{2} \\A_t = \frac{6\times4}{2} \\A_t = \frac{24}{2} \\A_t = 12cm^2[/tex]
So, each triangular area has 12cm² of area. Therefore, the sum of the triangular areas is [tex]12 + 12 = 24cm^2[/tex].
Finally, we know that the sum of the rectangular area is 120cm², and the sum of the triangular area is 24cm², so, the lateral surface area is [tex]120 + 24 = 144cm^2[/tex].
In other words, they didn't choose the correct answer because the correct answer is J) 144 cm².
I hope I've helped. :D
Enjoy your studies. \o/
If x = 15 and y = 4, what is the value of the following expression?
x - 8 + 3y
A.
52
B.
19
C.
41
Answers
PLZ HELP!!DO ONLY ONE PART IF YOU WANT TO BUT DO BOTH IF YOU CAN(show work btw)
Answers
Answer:
Step-by-step explanation:
Look at picture
4 1/3 - 1 1/2
Subtract ROADBLOCK
Answers
Answer:
17/6
Step-by-step explanation:
Answer:
2 5/6
Step-by-step explanation:
4 1/3= 13/3
1 1/2= 3/2
lowest common denominator of 3 and 2 is 6 so:
13/3*2/2=26/6
3/2*3/3=9/6
26/6-9/6=17/6
17/6= 2 5/6
Kameh owns a bakery. The table below shows his recorded income and expenses for the bakery.
Month Income (s) Expenses (S)
January
1,606 1,664.75
February 1,378 1432.62
March 1,225 1,225.00
June 2,381 1,995.55
July
2,391
2,083.68
August 2,187 1,802.63
Part 1 out of 2
Drag and drop the names of the months in which the income was greater than the expenses into the box.
February
January
August
July
March
June
Answers
Answer:
The months in which the income was greater than the expenses are;
June, July, and August
Step-by-step explanation:
The recorded income and expenses for the bakery are given as follows;
[tex]\begin{array}{cccc}Month&Income \ (\$)&Expense \ (\$)& Difference \ (\$)\\January&1,606&1,664.75 & (58.75)\\February&1,378&1,432.62 & (54.62)\\March&1,225&1,225.00&0.00\\June&2,381&1,995.55&385.45\\July&2,391&2,083.68&307.32\\August&2,187&1,802.63&384.37\end{array}[/tex]
From the difference values obtained in the table above, the months in which the income was greater than the expenses are;
June, July, and August
convert 235% to a decimal
Answers
Answer:
2.35
Step-by-step explanation:
Answer:
2.35
Step-by-step explanation:
move decimal point left 2
Consider this system of equations, which equation represents the first equation written in slope-intercept form? 5x - 2y = 10 O y=x-5 oy-x+10 o y--x+10 O y=-5x -5 ..... brainlyist for who is right
Answers
Answer:
The answer is A
Step-by-step explanation:
this isnt my answer it is someone named baylee in the comments, i tried it and it was right .
As per the given data, the slope-intercept form of the first equation is y = x - 5, which is represented by option A.
What is slope-intercept?The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.
The equation that represents the first equation written in slope-intercept form is:
y = x - 5
To convert the equation 5x - 2y = 10 into slope-intercept form, we need to isolate y on one side of the equation.
Starting with 5x - 2y = 10:
Subtract 5x from both sides: -2y = -5x + 10
Divide both sides by -2: y = (5/2)x - 5
Now, we can simplify the expression (5/2)x - 5 to the form y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the correct option is A.
For more details regarding slope-intercept, visit:
https://brainly.com/question/30216543
#SPJ7
1. A beaker holding 1.5 litres of water is placed in a temperature-controlled room so that 120 mL of
water evaporates each day. Use "d' as the day and V(d) as the volume of water left in beaker.
a) Use function notation to write an equation for this situation.
b)
On which day there will be 900 mL of water left in the beaker? Show all calculations.
c)
Write the domain and range of the function in set builder notation (use variables provided).
Domain:
Range
Answers
Answer:
Oi tudo bem?
meu nome é Ana Kesia, e qual é o seu nome também?
Desculpe-me eu Nn consegui responder sua pergunta.
Mas mesmo assim, agradeço pelos pontos estava precisando.
tchau, tenha uma Ótima tarde!
Bons estudos nas suas atividades! ❤♥