Answer:
The Value Remains the Same
Step-by-step explanation:
Trust
The value of a remains unchanged. Therefore, option C is the correct answer.
Given that, Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k.
We need to find from the option which is true for the given statement.
What is a vertex form?The Vertex formula of a parabola is used to find the coordinates of the point where the parabola crosses its axis of symmetry. The vertex is the point (h,k). As we know the standard equation of a parabola is y = ax²+bx+c. The vertex form of the parabola y = a(x - h)²+ k. There are two ways in which we can determine the vertex (h, k).
Now,
The original expression is given as y = ax²+bx+c and Christian rewritten as y = a(x - h)²+ k.
Simplify the equation y = a(x - h)²+ k, that is y = a(x²-2xh+h²)+k.
⇒y=ax²-2axh+ah²+k
Compare the equation y=ax²-2axh+ah²+k with y = ax²+bx+c.
That is ax²=ax²
bx=-2xh and c=ah²+k
Analyzing the above equations ax²=ax²
Now, divide both sides by x², and we get a=a.
So, the value of a remains unchanged.
Therefore, option C is the correct answer.
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Christian is rewriting an expression of the form y = ax² + bx + c in the form y = a(x – h)² + k. Which of the following must be true?
h and k cannot both equal zero
k and c have the same value
the value of a remains the same
h is equal to one half –b
Please hurry I am being timed!
The three angles of a triangle have equal measures. The sum of their measures is 180º. What is the measure of each angle?
A. 45º
B. 30º
C. 60º
D. 55º
Please select the best answer from the choices provided
Sorry if this is easy for you I'm bad at math
find 150 of 28 by writing the percent as a decimal
Answer:
28 / 150 = 18.666666666667%
Step-by-step explanation:
28 / 150 = 18.666666666667%
4.45 / 100 = 4.45%
143 / 165 = 86.666666666667%
127,998 / 1,609,008 = 7.955087855374%
please helppppppp :(((
Answer:
y = 1/2x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Find points from the graph.
x-intercept (2, 0)
y-intercept (0, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-0}{0-2}[/tex]Subtract: [tex]m=\frac{-1}{-2}[/tex]Simplify: [tex]m=\frac{1}{2}[/tex]Step 3: Write linear equation
y = 1/2x - 1
Answer:
its y = 1/2 x - 1
Step-by-step explanation:
why did math tutor delete my question?!?!??!
What are two coordinates on this graph?
Answer:
(0,5) and (6,0)
Step-by-step explanation:
A pentagon has angle measures of 100, 105, 110, and 115. Find the fifth angle measure.
Answer:
110
Step-by-step explanation:
please help im struggling
Answer:
a = 6
b = 3
c = 2
Step-by-step explanation:
Since n(P) = a+b = 9
and n(Q) = b+c = 5
and b is given to be 3
a and b follow easily.
a is 9-b = 9-3 = 6
c is 5-b = 5-3 = 2
Solve for X
-18x + 21 > - 15 OR 20x - 13 greater than or equal to 27
answers:
-x< -2 or x greater than or equal to 2
-x = -2
-x greater than or equal to 2
-There are no solutions
-All values of x are solutions
C, x is greater than or equal to 2
Step-by-step explanation:
Both equations have X equaling to 2
which is an equation of the line parallel to 4y-7x=8 and passes through (-4,0)
Answer:
The correct option is; A. [tex]y = \dfrac{7}{4} x + 7[/tex]
Step-by-step explanation:
The given equation is 4·y - 7·x = 8
The coordinates of the point the line passes = (-4, 0)
By dividing the given equation by 4, we have;
4·y/4 - 7/4·x = 8/4
Which gives;
y - 7/4·x = 2
y = 7/4·x + 2
Which is the equation of a straight line in slope and intercept form, y = m·x + c, with the slope, m = 7/4, and the y-intercept = 2
Given that the required line is parallel to the graph of the equation, 4·y - 7·x = 8, the slopes of both equations are equal we have;
Slope of required line = 7/4, point on the line = (-4, 0), which gives the following point and slope form equation of a straight line;
y - 0 = 7/4 × (x - (-4))
y = 7/4·x + 7/4 × 4 = 7/4·x + 7
The equation of the line is therefore;
y = 7/4·x + 7
Find the total surface area of this square based
pyramid.
10ft
10 ft
[? ]ft?
Answer:
300 [tex]ft^{2}[/tex]
Step-by-step explanation:
area of triangle= [tex]\frac{b*h}{2}[/tex]
[tex]\frac{10*10}{2}[/tex] = 50
4 sides of the triangle
4*50=200
area of square= l*w
10*10=100
area of square+area of triangles
200+100=300
_[tex]ft^{2}[/tex]=300[tex]ft^{2}[/tex]
Answer: 300
Step-by-step explanation:
graph the function -4x + 3y = 15
2/5+6/10
What is the answer
We have to make sure the denominators are equal.
10 goes into 5 evenly, so we only need to multiply one term to get a common denominator.
Multiply 2 by 2, and get 4, then we multiply 5 by 2 and get 10
Now the equation is 4/10 + 6/10
Since our denominators match, we can add the numerators.
4 + 6 = 10
That gives us the sum, which is 10/10 aka 1 whole
your welcome :) (btw can u please give brainly?)
Answer:
2/5 + 6/10 = 1
Step-by-step explanation:
first let’s change 2/5 so it has the same denominator as 6/10.
2/5 * 2/2 = 4/10
now add
4/10 + 6/10 = 1
A shop sells chocolate, vanilla, and strawberry ice cream cones. If 45% of the ice cream sold is chocolate and 17% is strawberry, what percent that is sold is vanilla?
Answer:
38 %
Step-by-step explanation:
45 + 17 is 62. Soif you add 38% + 62% you'll get 100% !
Hope this helps! ^O^
Which of the following statements must be true about this diagram? check all that apply.
Answer:
F & B
Step-by-step explanation:
Answer:
C, D, E
Step-by-step explanation:
Remote angles theorem; when one side of a triangle is extended, the angle formed must equal the sum of the two angles in the triangle, that it isn't adjacent to.
C. (m<4) > (m<1), this has to be true because of remote angles theorem.
(m<4) must be greater than (m<1) because it is equal to (m<1) + (m<2)
D. (m<4) > (m<2), apply the same logic here, as was applied to the first problem.
E. (m<1) + (m<2) = (m<4), this is essentially remote angles theorem.
The table shows the location of four cities relative to sea level.
Which city is closest to sea level? Explain.
Answer:its citc (C)
Step-by-step explanation:
Find the slope and a point on the line. y-9=-1/3(x-4)
Answer:
slope- -1/3
a point: (0, [tex]\frac{31}{3}[/tex])
Step-by-step explanation:
y-9= -1/3(x-4)
y-9= -1/3x+4/3
y= -1/3x+31/3
to find a point:
y= -1/3(0)+31/3
y=31/3
(this happens when x= 0, so the point is (0,31/3)
Answer:
m=-1/3
Point: (4,9)
Step-by-step explanation:
i just took the question and got it right on ed2020
Quinton bought n number of shares for d dollars and paid a 1% commission. He sold the stock for y dollars and paid a flat fee of
$7. Which expression below models Quinton's net proceeds algebraically?
oyn(1.01d - 7).
(1.01nd + 7) - Y
y - 1.01(nd - 7)
y (1.01nd + 7)
Answer:
y - (1.01nd + 7)
Step-by-step explanation:
Quinton bought n number of shares for d dollars and paid a 1% commission. It means he bought [tex]\dfrac{1}{100}nd=0.01nd[/tex]
He sold the stock for y dollars and paid a flat fee of $7. It means he sold y-7.
We need to find Quinton's net proceeds algebraically. It will be given as :
[tex]y-7-0.01nd\\\\=y-(0.01nd+7)[/tex]
Hence, the correct option is (d) i.e. y - (1.01nd + 7)
HELP ME PLEASE I NEED HELP I BEG OF U WILL MARK AND 5 STARS
f(x)= x^2 + 10f(x)=x
2
+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10
Over which interval does fff have a positive average rate of change?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket
(Choice B)
B
[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket
(Choice C)
C
[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket
(Choice D)
D
[-1,2][−1,2]
Answer:
The option D represents an interval with a positive average rate of change.
Step-by-step explanation:
Let [tex]f(x) = x^{2}+10[/tex], the average rate of change on the interval [tex][a,b][/tex] is represented by the definition of the secant line:
[tex]\bar f = \frac{f(b) -f(a)}{b-a}[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Function evaluated at lower and upper bounds, dimensionless.
Now we proceed to check each option:
A. [tex]a = -3[/tex], [tex]b = 3[/tex]
[tex]\bar f = \frac{19-19}{3-(-3)}[/tex]
[tex]\bar f = 0[/tex]
B. [tex]a = -4[/tex], [tex]b = -1[/tex]
[tex]\bar f = \frac{11-26}{(-1)-(-4)}[/tex]
[tex]\bar f = -5[/tex]
C. [tex]a = -3[/tex], [tex]b = 1[/tex]
[tex]\bar f = \frac{11-19}{1-(-3)}[/tex]
[tex]\bar f = -2[/tex]
D. [tex]a = -1[/tex]. [tex]b = 2[/tex]
[tex]\bar f = \frac{14-11}{2-(-1)}[/tex]
[tex]\bar f = 1[/tex]
The option D represents an interval with a positive average rate of change.
Answer:
It would be D
Step-by-step explanation:
In the metric system, which prefix would you use for "1/100"?
A. Kilo-
B. Milli-
C. Centi-
O D. Hecto-
Answer:
C
Step-by-step explanation:
Centi means 1/100.
Answer: C. Centi-
Step-by-step explanation:
It comes from Latin. You can remember that 0ne Cent is 1/100 of a dollar.
You were given a Starbucks gift card for your birthday. One day, you used the gift card to order 3 drinks that cost $5.20 each. When you looked at your receipt, you noticed that there was a remaining balance of $26.00 on the gift card.
Write an equation in point-slope form that represents the total balance left on the gift card, y, in terms of the number of drinks ordered, x.
Answer:
The card had 41.60 originally
Step-by-step explanation:
3 x 5.20 = 15.60
15.60 + 26.00 = 41.60
unless there is tax
(-4c2+7cd+8d)+(-3d+8c2+4cd)=
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
To add monomials, you have to look at the variables that are accompanied by their coefficients. In the given problem, (–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd), you can combine both cd ut nt cd and c² and cd and d and d and c² because they have different variables.
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
(-4c² + 8c²) + (7cd + 4cd) + (8d - 3d)
4c² + 11cd + 5d
Answer:
4,11,5
Step-by-step explanation:
The graph represents this system of equations. A system of equations. y equals 4. y equals 3 minus StartFraction on-half EndFraction x. A coordinate grid with 2 lines. The first line passes through (negative 2, 4) and (0, 3). The second line passes through (negative 2, 4) and (0, 4). What is the solution to the system of equations?
Answer:
A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.
Solve the system of equations algebraically. Verify your answer using the graph.
y = 4x – 5
y = –3
What is the solution to the system of equations?
((StartFraction one-fourth EndFraction, negative 3), –3)
((StartFraction one-half EndFraction, negative 3), –3)
(–3, (negative 3, StartFraction 2 over 3 EndFraction))
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
i just did it
Calculate the circumference of the following circles. Give your answers to 1 decimal place.
Answer:
a) 31.4 cm b) 22.0 cm c) 9.4 mm d) 18.8 m e) 1.6 m f) 28.3 cm g) 78.5 cm h) 9.7 m
Step-by-step explanation:
All it really is multiply the diameter which is the straight line through the center of the circle
C = d × \pi
The circumference of the circles is A. 31.4 cm, B. 22cm approx,
C. 9.4 mm, D. 18.88 m, E. 1.6 m, F. 28.3 cm, G. 78.5 cm, H. 4.1 m.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle has rotational symmetry around the center.
Given circles,
circumference of circle is 2πr in form of diameter = πd
where d is diameter,
A. given d = 10 cm
circumference = c = πd
c = 3.14 x 10
c = 31.4 cm
B. given, d = 7 cm
c= πd
c = 3.14 x 7
c = 21.98 cm = 22 cm approx
C.given, d= 3 mm
c = πd
c = 3.14 x 3
c = 9.4 mm
D. given d = 6 m
c = πd
c = 3.14 x 6
c = 18.8 m
E. given c = 0.5 m
c = πd
c = 3.14 x 0.5
c = 1.6 m
F. given d = 9 cm
c = πd
c = 3.14 x 9
c = 28.3 cm
G. given d = 25 cm
c = πd
c = 3.14 x 25
c = 78.5 cm
H. given d = 1.3 m
c = πd
c = 3.14 x 1.3
c = 4.1 m
Hence the circumference is as follows.
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The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $600
3 $720
6 $840
Part D: What is the balance in the bank account after 7 days? (2 points)
Answer:
880
Step-by-step explanation: Every three days the balance increases by 120 so you would divide 120 by 3 to get 40. This would mean that the balance increases by 40 everyday so after seven days the balance would be 880
what do you think of france
Answer:
Baguette is very important
Step-by-step explanation:
they don't have bidet but baguette
Answer:
honestly i think its a pretty country, its pretty nice and wish i could go.
Step-by-step explanation:
The bus drives 66 km at an average speed of 24 km/h. How long does the journey take?
Answer:
2.75 hours
Step-by-step explanation:
Speed is 24km per hour ([tex]\frac{24km}{1hour}[/tex]), and the bus covered 66km.
We need to get a value of km with the rate (24/1) and distance (66) given.
We get: [tex]\frac{1hour}{24km} *66km[/tex].
The km cancel out, leaving us with 66/24 hours, or 2.75 hours.
Hello Guys it’s FreeGiftCardCodes I’ll be posting PS4 Xbox apple And Nintendo switch Gift cards ILL send a 2 when I get to 5 followers so add me if you want one And thank me also
Answer:
alright bet
Step-by-step explanation: ayyyeeeee
Answer:
Alright bro I will add you and thank you
Step-by-step explanation:
While Justin is in training he has to drink 500 ml of water per day. How many liters will that be for one week?
Answer:
3.5 Liters
Step-by-step explanation:
Since 500 ml is equal to 0.5 liters and there are 7 days in a single week you just need to multiple the number of liters (0.5) by the 7 days to get a total of 3.5 liters
The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.
Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
172
Step-by-step explanation:
Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest
A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries and the cost of the groceries in your cart is currently $50. The inequality 0.9(a+50)≤117 represents the cost a (in dollars) of groceries that you can add to your cart.
Answer:
a≤80
Step-by-step explanation:
Answer:
a≤80
Step-by-step explanation: