The coordinates of the turning point of the parabola whose equation is y = x2 — 6x + 8 are A. (3, 35) C. (-3, 35) B. (-3, —1) D. (3. —1)
Answer:
D. (3. —1)
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, y_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
[tex]y_{v} = -\frac{\Delta}{4a}[/tex]
Where
[tex]\Delta = b^2-4ac[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].
Turning point of a quadratic function:
The turning point of a quadratic function is the vertex.
y = x2 — 6x + 8
This means that [tex]a = 1, b = -6, c = 8[/tex]
Now, we find the vertex.
[tex]x_{v} = -\frac{b}{2a} = -\frac{-6}{2(1)} = 3[/tex]
[tex]\Delta = b^2-4ac = (-6)^2-4(1)(8) = 36 - 32 = 4[/tex]
[tex]y_{v} = -\frac{4}{4(-1)} = -1[/tex]
(x,y) = (3,-1), and the correct answer is given by option D.
what is the value of x? 0 = x/6 - 3
Answer:
18 = x
Step-by-step explanation:
0 = x/6 - 3
Add 3 to each side
0+3 = x/6-3+3
3 = x/6
Multiply by 6 on each side
3*6 = x/6*6
18 = x
Which equation represents a line which is perpendicular to the line 6x+y=-4
Answer:
y = 1/6x - 4
Step-by-step explanation:
y = -6x - 4
current slope is -6 so the slope of a line perpendicular would be 1/6
y = 1/6x - 4
A student skipped a step when she tried to convert 15 hours to seconds, and
she got the following incorrect result:
15 hours
60 seconds
1 minute
= 900 seconds
What conversion ratio did she skip in this multiple-step conversion?
O A.
60 seconds
1 minute
B.
60 minutes
1 hour
C.
1 hour
60 minutes
D.
1 minute
60 seconds
Answer:
B.
60 minutes
1 hour
Can I please get some help? I would really appreciate it.
Honestly, I know these answers I just wanna see if the answers I got are correct.
Answer:
4. 78,020,008 4. Seventy-eight million, twenty thousand, eight
5. 20,011,012 5. 20,000,000 + 11,000 + 12
6. 50,000 7. 900 8. 70,000,000 9. 30,000,000
i’m horrible at math, can anyone help?
Answer: no I'm actually horrible at math too sorry
A motorcycle cost $12,000 when it was purchased. The value of a motorcycle decreases by 6% each
year. Find the rate of decay each month and select the correct answer below.
-0.005143%
-0.5143%
-0.005%
-0.5%
Answer:
the correct answer is -0.5%
% of $4 = $1
What is
Answer:
25 percent is the answer to your question.
A group of 31 friends gets together to play a sport. First, people must be divided into teams. Each team has to have exactly 3 players, and no one can be on more than one team. How many teams can they make?
Answer:
10, 1 remaining
Step-by-step explanation:
Each team can have 10 people but there will be a remaining person that will not be able to participate.
31 ÷ 3= 10.33333333
Hope this helped :)
Which is the degree measure of an angle whose tangent is 1.19? Round the answer to the nearest whole number. A. 48° B. –48° C. 50° D. –50°
9514 1404 393
Answer:
C. 50°
Step-by-step explanation:
The angle whose tangent is 1.19 is ...
arctan(1.19) ≈ 49.9585° ≈ 50°
The 50° measure of an angle whose tangent is 1.19.
What is tangent?Tangent in geometry, is defined as "a line or plane that touches a curve or curved surface exactly at one point" .
According to the question,
The degree measure of an angle whose tangent in 1.19.
In order to an angle only if arctan(119) = 49.9585 ≈ 50.
Hence, the 50° measure of an angle whose tangent is 1.19.
Learn more about Tangent here
https://brainly.com/question/20725027
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Una maestra esta comprando lapices para su salon de clases. Si una docena de lapices cuesta $0.79 puede comprar lapices con $5?
Answer:
Cantidad total de lapices= 76
Step-by-step explanation:
Dada la siguiente información:
Costo por docena= $0.79
Presupuesto total= $5
Para calcular la cantidad total de lapiceras que se pueden comprar con $5, debemos usar la siguiente formula:
Cantidad total de lapices= presupuesto total / costo por docena
Cantidad total de lapices= 5 / 0.79
Cantidad total de lapices= 6.33
Para ser mas exactos:
0.33*12= 4
Cantidad total de lapices= 6*12 + 4
Cantidad total de lapices= 76
Angle B = ?
Need help.
Answer:
angle B = 33.42
Step-by-step explanation:
take angle B as reference angle
using tan rule
tan B = opposite/adjacent
tan B = 6/9
tan B = 0.66
B = [tex]tan^{-1} (0.66)[/tex]
B = 33.424
B = 33.42
If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K' (2,5)
K'(-2,-5)
K'(-5, 2)
K'(2,-5)
For the arithmetic sequence beginning with the terms {-2, 0, 2, 4, 6, 8...}, what is the sum of the first 18 terms?
Answer:
The sum of the first 18 terms is 270.
Step-by-step explanation:
First the 18th term is calculated which is gotten using the following steps below:
an = a1 + d ( n - 1 )
Where, an =18th term
a1= first term (-2)
d = difference
n = 18
Therefore, 18th term
an= -2 + 2 (18 - 1)
= -2 + 2 (17)
= -2 + 34
18th term = 32
To calculate the sum of the first 18th terms the following steps are used,
Sn = n(a1 + an)/2
Where,
Sn = sum of 18th term
n = 18
a1 = -2
an = 18 term
Therefore,
Sn = 18 (- 2+ 32)/2
= 18 (30)/2
= 18 ×30 /2
= 540/2
= 270
What is the reflection of point P (2, -7) over the x-axis
Answer:
(2,7) I think
Step-by-step explanation:
Answer:
(2,7)
Step-by-step explanation:
It's funny, this is the exact topic I just learned.
Ok, 2,-7 would be in the fourth quadrant (IV).
So using this information if we want to reflect it over the x axis, the point would just got over the x axis in quadrant 1. We know that quadrant 1 is (++) so the ordered pair MUST be positive. Hence the answer of (2,7)
Hope this helps!
can someone help pls?
Answer:
∡X corresponds with ∡G
since ∡G is 106° then so is ∡X
Step-by-step explanation:
WILL GIVE BRANLIEST!!! pls help tysm!!!
A horizontal line passes through the point (5, –1). Which point is also on this line?
(0, 0)
(–1, 5)
(5, –4)
(–2, –1)
Answer:
Step-by-step explanation:
A horizontal line is a "y = " line. So the horizontal line that goes through the point given has the equation y = -1 (-1 being the y coordinate of the point). That means that another point on this line, y = -1, will also have to have a y coordinate of -1. The only one is the last one, (-2, -1).
Answer:
D
Step-by-step explanation:
I just took the test
a bookcase is 500mm wide how many of these bookcase will fill a
space 2m wide
I think 4 but I could be wrong
there are 13 apples in a basket 4 of these apples are green the rest of them are red
Answer:
9 : 13
Step-by-step explanation:
Here is the complete question :
there are 13 apples in a basket 4 of these apples are green the rest of them are red
What what is the ratio of red apples to all the apples in the basket
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
ratio of red apples to all the apples in the basket = Number of red apples : total number of apples
Number of red apples = total number of apples - number of green apples
13 - 4 = 9
9 : 13
PLSSS HELP!! I need the answer m.
y = 3x - 1
3x - y = 9
X=
A) x = 123, y = 4 4
B) x=3, y = 0
C) No solution
D) Infinitely many solutions
Answer:
no solution.
Step-by-step explanation:
given that, y = 3x-1
so,
in equation, 3x-y = 9
putting the value of y here,
3x-(3x-1) = 9
3x-3x+1 = 9
3x and 3x is cancelled.
hence, no solution
could u help me last part :)
Answer: 288pi in cubed
Step-by-step explanation: because area of a circle is pir^2 so 36*8=288
Find the total area
Answer:
I think it's 33 I don't know
How does the range of g(x)=6/x compare with the range of the parent function f(x)=1/x?
Answer:
The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
Step-by-step explanation:
The range of the function is the set of real number for [tex]y[/tex]. The rational function of the form [tex]y = \frac{a}{x}[/tex], where [tex]a[/tex] is a constant, has a range represented by the subset of nonzero real numbers. This is: [tex]Ran\{f(x)\} = \mathbb{R}-\{0\}[/tex]
Hence, the correct answer is: The range of both [tex]f(x)[/tex] and [tex]g(x)[/tex] is all nonzero real numbers.
A circle has a center at (-2, 5) and a radius of bold 3 square root of bold 2units. What is the equation of the circle in standard form?
Given:
The center of the circle = (-2,5)
The radius of the circle = [tex]3\sqrt{2}[/tex] units.
To find:
The equation of the circle is standard form.
Solution:
The standard form of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex] ...(i)
Where, (h,k) is the center of the circle and r is the radius of the circle.
It is given that the center of the circle is (-2,5). So, [tex]h=-2,\ k=5[/tex].
The radius of the circle is [tex]3\sqrt{2}[/tex] units. So, [tex]r=3\sqrt{2}[/tex].
Putting [tex]h=-2,\ k=5[/tex] and [tex]r=3\sqrt{2}[/tex] in (i), we get
[tex](x-(-2))^2+(y-(5))^2=(3\sqrt{2})^2[/tex]
[tex](x+2)^2+(y-5)^2=18[/tex]
Therefore, the equation of the circle is [tex](x+2)^2+(y-5)^2=18[/tex].
Mixing 4 ml of red paint and 15 ml of yellow paint makes orange paint. How much red would be needed if you use 1500 ml of yellow paint?
Answer:
Amount of red paint needed for 1500 ml yellow paint = 400 ml
Step-by-step explanation:
Given:
ration of red paint to yellow paint = 4 ml to 15 ml
Find:
Amount of red paint needed for 1500 ml yellow paint
Computation:
Amount of red paint needed for 1500 ml yellow paint = [ration of red paint to yellow paint]1500
Amount of red paint needed for 1500 ml yellow paint = [4/15]1500
Amount of red paint needed for 1500 ml yellow paint = [4]100
Amount of red paint needed for 1500 ml yellow paint = 400 ml
Slope of (16, 8) (8, 4)
Answer:
slope of (16,8) (8,4) is 1/2
which pairs of angles in the figure below are vertical angles select all that apply
Answer:the left one
Step-by-step explanation:
