Answer:
Step-by-step explanation:
The standard form of a quadratic is
[tex]y=a(x-h)^2+k[/tex] where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
[tex]y=(x-(+10))^2[/tex] and simplified:
[tex]y=(x-10)^2[/tex] That is the parent graph shifted 10 units to the right.
Change to vertex form
1) f(x) = x² - 4x + 4
2) f(x) = -x ² + 8x-16
3) f(x) = 2x ²-x+3
4)f(x)=2x ²-3x-1
Answer:
- 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
The circumference of a circle is 19π in. What is the area, in square inches? Express your answer in terms of π.
Answer:
A = 90.25 pi in^2
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
19pi = 2*pi*r
Divide each side by 2 pi
19pi / 2 pi = 2*pi*r/ 2pi
9.5 = r
The area is given by
A = pi r^2
A = pi ( 9.5)^2
A = 90.25 pi in^2
Answer:
The area of circle is 90.25 π inches².
Step-by-step explanation:
Given :-
Circumference of circle is 19 π in.
To Find :-
Area of circle
Solution :-
Firstly, we need to find radius of circle
Using formula
Circumference of circle = 2 π r
substitute the value
19 π inches = 2 π r
Divide each side by 2 π
19 π inches / 2 π = 2 π r / 2 π
9.5 inches = r
Now, Finding the area of circle
Using formula
Area of circle = π × r²
Where,
r, radius of circle = 9.5 inchesSubstitute the values
Area of circle = π × ( 9.5 inches)²
Evaluate the exponent
Area of circle = π × 90.25 inches ²
multiply ,we get
Area of circle = 90.25 inches²
Hence, the area of circle is 90.25 π inches².
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
A. (3x-2)^2
B. 5x-4y
5x=4y
Step-by-step explanation:
There are only red counters, blue counters and purple counters in a bag.
The ratio of the number of red counters to the number of blue counters is 3 : 17
Sam takes at random a counter from the bag.
The probability that the
counter is purple is 0.2
Work out the probability that Sam takes a red counter.
Answer:
0.15
Step-by-step explanation:
R:B:P
3:17:4
20x0.2=4
0.2/4=0.05
P(R)= 0.05x3
P(R)=0.15
En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?
Answer:
12376 huevos
Step-by-step explanation:
Son 68 gallinas en 26 corrales por tanta se multiplicaría
26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:
1768 x 7= 12376
1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.
if (P-3) is the largest of for odd number then the smallest is
A p-11
B p-9
C. p+3
D. p+5
ensalada no son vulgares
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
Calixto travels by train to a meeting in Barcelona. Barcelona is 270 km from where he lives.He catches the train at 9:45 a.m. The traintravels at anaverage speed of 120 km/hr.What time will the train arrive in Barcelona?
What time will the train arrive in Barcelona?
Answer: 12:00 pm or 1200hrs
Step-by-step explanation:
Time = distance/speed
270/120 = 2h 15min
= 2h 15min
Please help me. I am so confused right now and I need to turn this in asap.
Answer:
sorry only doing the ones im sure of
a)
FBC is half the circle, so the angle would = 180.
180 - 135 = 45, so thats the angle between BC
its a vertical angle, so it would be the same on the other side, between FE
the only angle left is betweeen DC, so add them all up and minus by 360
360 - 306 = 54
b)
a triangle's angles add up to 180, so
49 + 70 = 119
180 - 119 = 61
since this is an inscribed angle that isnt connected to the center, the arc will be double the angle
so ? = 122
d)
5(8) = 40
40/4 = 10
x = 10
f)
the rest of the circle is 243 bc 360-117=243
243 - 177 = 126
126/2 = 63
What is the value of S4 for HURRY PLEASE !!!
Answer:
5 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
where a is the first term and r the common ratio
The expression inside the summation is
4 [tex](\frac{1}{4}) ^{n-1}[/tex] ← the nth term of a geometric sequence
with a = 4 and r = [tex]\frac{1}{4}[/tex] , then
[tex]S_{4}[/tex] = [tex]\frac{4(1-(\frac{1}{4}) ^{3}) }{1-\frac{1}{4} }[/tex]
= [tex]\frac{4(1-\frac{1}{64}) }{\frac{3}{4} }[/tex]
= [tex]\frac{16}{3}[/tex] ( [tex]\frac{63}{64}[/tex] )
= [tex]\frac{21}{4}[/tex]
= 5 [tex]\frac{1}{4}[/tex]
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)
if point (4,5) is on the graph of a function, which equation must be true?
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ...
Answer:
Y=1/2-10
Step-by-step explanation:
M=1/2 perpendicular
M1*M2=-1
Question 1 of 5
Which data set has a variation, or mean absolute deviation, similar to the data
set in the given dot plot?
Answer:
It is A because it is pretty similar to the data set in the given dot plot.
How do you write 6.6 x 10-5 in standard form?
Answer:
.000066
Step-by-step explanation:
move decimal places five places to the left
Victor also saw a jacket he liked while he was shopping. The jacket has a price tag of $75.00 and was marked for 30% off. How much money will the jacket cost after the sale?
Respuesta:
$ 52.5
Explicación paso a paso:
Dado
Costo de la chaqueta = $ 75
Mark off = 30%
Descuento = 30% de $ 75
Precio de descuento = 0,3 * 75
Precio de descuento = $ 22.5
Costo después de la venta = $ 75 - $ 22.5
Costo después de la venta = $ 52.5
Por lo tanto, el costo después de la venta es de $ 52.5
what is 2+a, when a is 17?
Answer:
19
Step-by-step explanation:
If a=17, then:
2 + 17 = 19
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Have a great summer :)
It is given the quadratic equation (q + 1 )x² - 8x + p = 0,where p and q are constants,has two equal real roots.Express p in terms of q.
Do help meeee!!!
i'll mark u as the brainliest!
Answer:
p = [tex]\frac{16}{q+1}[/tex]
Step-by-step explanation:
Since there are 2 equal roots then the value of the discriminant is zero, that is
b² - 4ac = 0
Given
(q + 1)x² - 8x + p = 0 ← in standard form
with a = q + 1, b = - 8, c = p , then
(- 8)² - 4p(q + 1) = 0
64 - 4p(q + 1) = 0 ( subtract 64 from both sides )
- 4p(q + 1) = - 64 ( divide both sides by - 4 )
p(q + 1) = 16 ( divide both sides by q + 1 )
p = [tex]\frac{16}{q+1}[/tex]
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answer:
7.789
Step-by-step explanation:
i got it right and
find the area of a circle . diameter =30cm . suction
Area of Circle = pi * r* r
Diameter = 2* r
Radius = 30/2 = 15 cm
pi = 3.14
Area of circle = 3.14 * 15 *15 = 707.14 cm ^2
12
Peter was thinking of a number. Peter halves the number and gets an answer of 25.5. Form an
equation with x from the information,
Answer:
[tex]\dfrac{x}{2}=25.5[/tex]
Step-by-step explanation:
Let the number be x.
Peter halves the number and gets an answer of 25.5.
It means,
Half of x equals 25.5. So,
[tex]\dfrac{1}{2}x=25.5[/tex]
or
[tex]\dfrac{x}{2}=25.5[/tex]
Hence, the required equation is [tex]\dfrac{x}{2}=25.5[/tex].
Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?
Answer:
813
Step-by-step explanation:
you add them together
Please help...redoing past papers so I need to cross-check with someone to see if they are correct
Answer:
4 < k < 12
Step-by-step explanation:
The given function is y = 2·x² + k·x + 2·k - 6
Where the curve lies above the x-axis for all values of x, the function does not have a root and the discriminant, Δ, is negative, to give complex roots
∴ The discriminant Δ = k² - 4·2·(2·k - 6) < 0
k² - 4·2·(2·k - 6) = k² - 16·k + 48 < 0
(k - 12)·(k - 4) < 0
∴ k < 12 or k > 4 given that by substitution, we have;
When k = 3 < 4
k² - 16·k + 48 = 3² - 16×3 + 48 = 9 > 0
Also the product of two negative numbers is larger than 0
Therefore, the set of values of k for which the curve lies above the x-axis for all values of x is 4 < k < 12
please help me points and brainliest
Answer:
1/2
D
Step-by-step explanation:
slope = [tex]\frac{rise}{run}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] Same ratio. Both reduce to [tex]\frac{1}{2}[/tex]
The point (3,-7) lies on a circle and the center of the circle is at (-2,-7). What is the equation of this circle
Step-by-step explanation:
the answer is in the above image
Quadrilateral qrst is a square what is pst
if QRST is indeed a quadrilateral, then, Check the picture below.
Pls Solve
2/5 × (-3/7) - 1/6 × 3/2 +1/14 × 2/5
Answer:
-11/28
Step-by-step explanation:
Following BODMAS:
(2/5 * -3/7) - (1/6 * 3/2) + (1/14 * 2/5)
= (-6/35) - (1/4) + (1/35)
= 1/35 - 6/35 - 1/4
= -5/35 -1/4
= -55/140
= -11/28
If f(x)=x^2 is vertically stretched by a factor of 8 to g(x), what is the equation of g(x)?
A. g(x)= (1/8x)^2
B. g(x)= 8x^2
C. g(x)= (8x)^2
D. g(x)= 1/8x^2
Answer: 3x
Step-by-step explanation: just need points
give me one secondddd..
Answer:
mark me as a brainleast
Step-by-step explanation:
iam not undeerstand on your qiestion write it beautiful words
HELP PLEASEEEEE!!!!!!
If that answer doesn't work, then try 29 without the percent sign.
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Explanation:
We know with absolute certainty that the person ordered a hot drink, due to the "given".
This means we only focus on the values in the first row.
There are 5+48+22 = 75 hot drinks ordered. Of that total, 22 hot drinks are large.
The probability of getting a large drink, given it was a hot beverage, is 22/75 = 0.2933 approximately.
This converts to 29.33% and that rounds to 29%