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A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)
Answer:
(5,3)
Step-by-step explanation:
I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.
Next I plotted the point (1,3).
Then I counted the spaces between point 1,3 and 3,1 as shown in the picture
Finally I graphed the point and connected the lines to make sure it looked like a parabola.
In the accompanying diagram of rectangle ABCD, diagonal AC is drawn, DE = 8, DE 1 AC, and m2 DAC = 55. Find the area of rectangle ABCD to the nearest integer.
Answer:
sin (55) = DE / AD
AD = DE / sin (55)
AD = 8 / sin (55)
And
tan (55) = DC / AD
tan (55) = DC / [8 / sin (55) ]
DC = 8 tan (55) / sin (55)
AD * DC =
[8 /sin (55) ] [ 8 tan (55) / sin (55) ] = 136 units^2
Step-by-step explanation:
f
10. Which equations could be used to solve
for x? Circle all that apply.
Answer: B and D
Step-by-step explanation:
Alex and Bill share a 24-ounce box of cereal. By the end of the week, Alex has eaten 3 8 of the box, and Bill has eaten 1 4 of the box of cereal. How many ounces are left in the box?
Answer:
9 ounces.
Step-by-step explanation:
Answer:
12 ounces on the box
Step-by-step explanation:
l have tried
Please help fast
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the
company:
Part A: What do the x-intercepts and maximum value of the graph represent?
prefent? ?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and
profit?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent?
WILL GIVE BRAINLIEST!
Write the expression as a difference of squares.
25x2 − 4
Factor the difference of squares.
25x2 − 4
Answer:
(5x-2)(5x+2)
Step-by-step explanation:
Differences of squares is basically (a2-b2) = (a-b) (a+b)
a = 5x and b = 2 in this case
Brainliest is appreciated :)
What Expression goes with the Phrase: "The Product of 4 and the
difference of 10 and b."
A. 4(b-10)
b. 4x10 -b
C. 4b- 10
d. 4(10-b)
Answer:
the correct answer is 4(10 -b)
2x + 6
96
solve for x using an algebraic equation
Answer:
v
Step-by-step explanation:
Pls Help asap thx alot
Answer: 52.5cm²
Step-by-step explanation:
Firs, you have to split this composite shape into two separate shapes; a rectangle and triangle.
To work out the area of the rectangle you would have to do 8x5=40.
To work out the area you would have to find out the height of it first. So, to do this you would have to do 1+2=3 then do 8-3=5. Now we know the height is 5.
Then you have to use the formula base times height divided by 2 (b×h/2). So 5×5=25 then 25÷2=12.5
To then find the total area of this composite shape you would have to add the two areas together. So 40+12.5=52.5cm²
Hope this helps :)
DUE TODAY HELP
It is not possible to plagiarize in math when the questions are multiple choice since
you don't have to write out your work.
True
False
Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?
Answer:
20 gray squares
Step-by-step explanation:
Given
See attachment for squares
Required
Number of gray squares when white = 16
First, we calculate the equation that represents both squares.
The white squares
[tex]a = 2[/tex] --- initial
[tex]d = 4 - 2 = 6 - 4[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]W_n = a + (n - 1)d[/tex]
[tex]W_n = 2 + (n - 1)*2[/tex]
[tex]W_n = 2 + 2n - 2[/tex]
[tex]W_n = 2n[/tex]
The gray squares
[tex]a = 6[/tex] --- initial
[tex]d = 8-6=10-8[/tex]
[tex]d = 2[/tex] -- difference between successive gray squares
So, the nth term is:
[tex]G_n = a + (n - 1)d[/tex]
[tex]G_n = 6 + (n - 1) *2[/tex]
[tex]G_n = 6 + 2n - 2[/tex]
[tex]G_n = 4 + 2n[/tex]
When the white squares is 16
[tex]W_n = 16[/tex] --- Calculate n
[tex]W_n = 2n[/tex]
[tex]16 = 2n[/tex]
[tex]8 = n[/tex]
[tex]n = 8[/tex]
To get the number of gray squares;
Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]
[tex]G_n = 4 + 2 * 8[/tex]
[tex]G_n = 20[/tex]
Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?
❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘
9514 1404 393
Answer:
(a) ❘-270 - 30❘
Step-by-step explanation:
One score is -270 and the other is +30. The difference is either of ...
|30 -(-270)|
or
|-270 -30| . . . . . . matches choice A
pls answer this asap
Answer:
y = - [tex]\frac{3}{2}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0-3}{2-0}[/tex] = - [tex]\frac{3}{2}[/tex]
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - [tex]\frac{3}{2}[/tex] x + 3 ← equation of line
Find the value of y from the above rhombus
A. 2
B. 3
C. 7
D. None of these
Answer:7
Step-by-step explanation:
2/3 divided by 3/6 is : help asap
the answer is 4/3 OR 1 1/3 :)
The options are
27.65
55.3
62.35
124.7
Answer:
Angle BAC = 62.35
Step-by-step explanation:
Here, we want to get the angle marked BAC
From the diagram, we have the angle ABC as 90
This is because angle at the center is twice the angle at the circumference
Furthermore, using the arc angle relationship;
angle ACB is half arc AB
so ACB angle is 55.3/2 = 27.65
mathematically;
Angle BAC + 27.65 + 90 = 180
This is because sum of angles in a triangle is 180
Thus;
angle BAC = 180-90 - 27.65
angle BAC = 62.35
A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?
PLSSSSSSS HELP MEHHHHHH REWARD BRAINLIESTTTT
Answer:
y=f(x)
Step-by-step explanation:
This means it falls under x axis
Q2. f(x) moves to the left
Q3. moves to the right
whats the permiter and area of this triangle will mark brainleist?
Answer:
permiter 68ft
area 204ft²
Step-by-step explanation:
25ft+26ft+17ft=68ft
1/2×17ft×24ft=204ft²
I hope it's help
20/50 divide by 85/50
Answer:
Decimal form:0.23529411764
Fraction form:
Step-by-step explanation:As a decimal fraction:
23529411764/100000000000
The Greatest Common Factor
of 23529411764 and 100000000000 is:4
Simplify the fraction:
23529411764 / 4
100000000000 / 4
Simplified:
5882352941/25000000000
which should i pick?
Answer:
5 X 4 is the correct answer.
Step-by-step explanation:
I don't know exactly what the question is asking, but there are 5 sections of 4 squares, which makes 24, so that would seem like the best answer to choose.
Write an equation for the data in the table. Identify your variables.
First find the slope m. slope formula: [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
Let's use (0, -20) for x1 and y1; and (2, 10) for x2 and y2
[tex]\frac{10-(-20)}{2-0}[/tex] = [tex]\frac{30}{2}[/tex] = [tex]15[/tex]
Now find the y-intercept: the point where the graph crosses the y-axis. The y intercept always has an x value of 0. So -20 is the y-intercept
Use the slope formula [tex]y = mx + b[/tex]. Slope=m, y-intercept = b
y = 15x - 20
y is the money in the bank account in dollars
x is the day
Reparte 280 euros entre 3 personas, de forma que la 1º reciba el triple que la 2º y esta el doble de la3º
Answer:
x = 31.11
Step-by-step explanation:
Let us assume the third person receives be x
Now the second person receives be 2x
And, the second be 3(2x) = 6x
The total is 280
Now the equation is
x + 2x + 6x = 280
9x = 280
x = 31.11
John buys a bag containing 3 pounds of flour. He uses 12 ounces of the flour for a craft project. How much flour is left in the bag?
PLEASE ASAP
Answer:
36 ounces
Step-by-step explanation:
3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)
I need help with my math homework
Two straight lines are shown.
Answer:
(3,20)
Step-by-step explanation:
so O must be 0,0 and A is a midpoint of OB
This means B must be (14,12)
B is the midpoint of TS.
This means that the distance of SB is equal to the distance of BT.
This must mean that the coordinate of T must be (3,20)
O: (0,0) x coordinate increases by 7. y coordinate increases by 6.
A: (7,6)
B: (14,12)
S: (25,4) x coordinate decrease by 11. y coordinate increases by 8.
B: (14,12)
T: (3,20)
The coordinates of T are (3, 20).
What is Straight Line?A straight line is an endless one-dimensional figure that has no width.
From the figure, A is the midpoint of OB and B is the midpoint of TS
The coordinates of O are (0, 0) and Coordinates of A are (7,6)
We can find coordinate of B.
(7, 6)=(0+x/2, 0+y/2)
(7,6)=(x/2, y/2)
x/2=7 and y/2=6
x=14 y=12
So the coordinates of B are (14, 12)
Now we can find the coordinates of T.
(14, 12)=(X+25/2, Y+4/2)
X+25=28
x=3
Y+4=24
Y=20
So the coordinates of T are (3, 20)
Hence, the coordinates of T are (3, 20).
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HELP ASAP 20 POINTS BRAINLIEST
So the arrow goes through (-2 and -2) so your answer would be -4
-2+-2=-4
Hope this helps
find lcm of 7 by 24 and 17 by 36
Step-by-step explanation:
LCM for 7 by 24=168
LCM for 17 by 36=612
Janelle makes a profit of 10% when she sells a bag for $900
i. What is the cost price? ii. find out how much she should have sold it for to make a profit of 15%
Answer:
i. 818.18
ii. 940.9
Step-by-step explanation:
SP = 900
or, CP + 10% of CP = 900
or, CP + 10/100 × CP = 900
or, 110CP = 90000
or, CP = 90000/110
CP = 818.18
for profit= 15%
SP = 9000/11 + 15% of 9000/11
= 940.9
What is the distance between the points (5, 13) and (-8, -9) on a coordinate plane rounded to the nearest tenth unit?
Answer:
25.6
Step-by-step explanation:
Use the distance formula.
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(-8 - 5)^2 + (-9-13)^2}\\d = \sqrt{(-13)^2 + (-22)^2}\\d = \sqrt{169 + 484}\\d = \sqrt{653}[/tex]
The distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have two points (5, 13) and (-8, -9)
[tex]\rm d=\sqrt{(-8-5)^2+(-9-13)^2}[/tex]
d = √(169+484)
d = 25.55 units ≈ 25.6 units
Thus, the distance between the points (5, 13) and (-8, -9) is 25.6 units after using the distance formula.
Learn more about the distance formula here:
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