The graphs below have the same shape. What is the equation of the red
graph?
F(x) =
A. F(x) = (2 - x)
B. F(x) = (3-X)
C. F(x) = 3 - X2
D. F(x) = 2 - x?
Answers
The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
What is the general equation of parabola?The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].
Where,
(h, k) are the vertices of the parabola.
According to the given question.
We have two graph.
The blue and red graph both represents the equation of downward parabola.
Since, blue graph represents the equation of downward parabola.
Whose equation is given
[tex]G(x) = 5 - x^{2}..(i)[/tex]
The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]
Where, (h, k) are the vertices of the parabola.
Compare the equation (i) with (ii)
We get
(h, k) = (0, 5) and a = -1.
Now, the red graph which also represents the downward parabola whose vertices are (0, 2)
Therefore, the equation red graph is given by
[tex]F(x) = a(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]
⇒ [tex]F(x) = 2 - x^{2}[/tex]
Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].
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Related Questions
Help, please :)
I really appreciate if you help me with steps as well, thanks! <3
Answers
Answer:
Step-by-step explanation:
All we have to do here is to find the measure of the central angle; the measure of the central angle of a circle is the same measure as the arc it intercepts. Angle DQE in degrees = arc DE in degrees. Use the arc length formula to find the measure of the central angle:
[tex]AL=\frac{\theta}{360}*2 \pi r[/tex] and filling in:
[tex]8.73=\frac{\theta}{360}*(2)(3.14)(10)[/tex] which simplifies to
[tex]8.73=\frac{62.8\theta}{360}[/tex] which simplifies a bit more to
[tex]\frac{360(8.73)}{62.8}=\theta[/tex] so
[tex]\theta=50.04[/tex] degrees. That means that arc DE also measures 50.04 degrees.
given data 4,y,9,5,2,7 find y if the mode is 4
the mean is 5
the median is 6
Answers
Answer:
y = 3
Step-by-step explanation:
y , 2 , 4 , 5 , 7, 9
Mean = 5
[tex]\frac{4+y+9+5+2+7}{6}=5\\\\\frac{y+27}{6}=5\\\\y+27 = 5*6\\y +27=30\\y=30-27\\y = 3[/tex]
Match the probability to the word or phrase that best describes the probability.
1/4 the choices are certain, unlikely, likely, impossible, Equally likely.
0 the choices are certain, unlikely, likely, impossible, Equally likely.
5/10 the choices are certain, unlikely, likely, impossible, Equally likely.
100% the choices are certain, unlikely, likely, impossible, Equally likely.
75/100 the choices are certain, unlikely, likely, impossible, Equally likely.
if you can please please help
Answers
0- the chance is impossible, as there is a 0% chance of it happening so it cannot happen.
5/10 - the chance is equally likely as this is 1/2, or 50% which is as equally likely as unlikely.
100% - this is certain as there is a 100% chance of it happening, so it will definitely happen.
75/100 - this is likely as it is 75%, so there is a high chance of it happening.
Please let me know if you have any questions or would like anything explained further. :)
could anyone help me with this?
Answers
Answer:
93.4 cm²
Step-by-step explanation:
Area of the shaded region = area of the square - area of half of the circle
Area of the shaded region = s² + ½(πr²)
Where,
r = 6.2 cm
s = length of square = diameter of circle = 2*r = 2*6.2
s = 12.4 cm
Plug in the values
Area of the shaded region = 12.4² - ½(π × 6.2²)
= 153.76 - 60.381411
= 93.378589
≈ 93.4 cm² (nearest tenth)
I have no clue Someone Please Help!!!!!
Answers
Answer:
D
Step-by-step explanation:
we have to see the value of y on x=-2
which is 2
so g(-2)=2
Carl starts to use the standard algorithm to solve 2,375 × 6. His work is shown below.
What number should Carl replace y with?
Answers
y=2
Please help me solve my problem!!!
Answers
Use the law of sines to find the measure of angle C.
Answers
You cannot find C using the sine law without knowing one of the other angles.
In your previous question I showed you that A = 71.5
sin(C)/16 = sin(71.5...)/22
sin(C) = 16 x sin(71.5...)/22 = 0.68977...
C = sin^-1(0.68969) = 43.6 degrees
Here, if you use the law of sines, you cannot find the measure of the required angle. But if you use the law of cosines, you will get the desired result.
The measure of the angle C of the given triangle is 43.61°
What is the law of cosines?According to the law of cosine, the square of any one side of a triangle is equal to the difference between the squares of the other two sides and double the product of the other sides and cosine angle added together between them. If AB, BC, and CA are lengths of the three sides of a triangle, then using the law of cosine, we can write
AB² = BC² + CA² - 2(BC)(CA)cos C.
How to solve this problem?Here, AB = 16, BC = 22, and AC = 21.
Now, 16² = 22² + 21² - 2 * 22 * 21 * cos C
i.e. 256 = 484 + 441 - 924 * cos C
i.e. 256 - 925 = - 924 * cos C
i.e. - 669 = - 924 * cos C
i.e. cos C = 669/924 = 0.724
i.e. C = cos⁻¹(0.724) = 43.61
Therefore the measure of the angle C of the given triangle is 43.61°
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find the surface area and volume of each figure Write an equation for each of the following images giving brainliest i really need this please help
Answers
Answer:
1) S.A = 108, V = 72; 2) S.A = 68, V = 60; 3) S.A = 40, V = 58
Step-by-step explanation:
1) Surface area of a cuboid = 2(lb + bh + hl)
= 2(6*4 + 4*3 + 3*6)
= 2(24 + 12 + 18)
= 2*54
= 108 square units ------- (1)
Volume of a cuboid = lbh
= 6*4*3
= 72 cube units ----------- (2)
2) Surface area = (1) - specific surface area
Specific surface area
=2(2*6 + 6*1 + 2*1)
=2(12 + 6 + 2)
=2*20
=40 square units
Therefore surface area = 108 - 40 = 68 square units --------- (3)
Volume = (2) - specific volume
Specific volume
=l*b*h
=2*6*1
=12 cube units
Volume = 72 - 12 = 60 cube units ---------- (4)
3) Surface area = (3) - specific surface area
Specific Surface Area
2(2*4 +2*1 + 4*1)
2(8 + 2 + 4)
2(14)
28 square units
Surface area = 68 - 28 = 40 square units
Volume = (4) - specific volume
Specific volume
= 1*2*4
= 8 cube units
Volume = 60 - 8 = 52 cube units
I really hope that u understood all these shortcuts
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fine the value for the following
11 -12÷4+3 (6-2)
and
0÷21
Answers
Answer:
1. 20
2. 0
Step-by-step explanation:
1. 20
11 -12÷4+3 (6-2)
Brackets first
11-12÷4+3 x 4
Then division and multiplication
11-3+12
Subtraction next
8+12
Now addition
8+12=20
2. Anything divided by 0 is 0
How many solutions does this have?
y=5x+-2
y=5--2x
Answers
Answer:
one solution (2.333, 9.6666)
Step-by-step explanation:
The ys have to be equal for there to be 1 solution. Let's see if they are. Equate the ys. - -2x becomes 2x
5x +-2 = 2x + 5 Write the left with 1 sign
5x - 2 = 2x + 5 Subtract 2x from both sides
2x 2x
3x - 2 = 5 Add 2 to both sides
2 2
3x = 7 Divide by 3
x = 7/3
x = 2 1/3
y = 5x - 2
y = 5(2 1/3) - 2
y = 11 2/3 - 2
y = 9 2/3
Paulo comprou 60 maçãs e 24 laranjas. Ele pretende organizar essas frutas em embalagens plásticas. Em cada embalagem plástica ele colocará apenas um tipo de fruta e na maior quantidade possível, para que todas as embalagens fiquem com a mesma quantidade de frutas. Qual a quantidade de embalagens plásticas que Paulo irá precisar para organizar essas frutas? 7. 12. 84. 120.
Answers
Responder:
7
Explicação passo a passo:
Obtemos o maior fator comum de ambas as frutas:
Apple = 60
Laranja = 24
Fatores de:
60 = 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 e 60
24 = 1, 2, 3, 4, 6, 12 e 24
O maior fator comum é 12
Por isso,
Número de malas necessárias para:
Maçãs = 60/12 = 5
Laranjas = 24/12 = 2
Total de sacos plásticos necessários = 5 + 2 = 7
Laura bought the apples, bananas, and strawberries shown below to use in a fruit salad. What percent of the fruit is apple?
Answers
Answer:
4/12
Step-by-step explanation:
i am not good at this but i will try☺
Answer:
30%
Step-by-step explanation:
To find the percentage of something we decide the amount of things we want to find the percentage off by the total amount of things and then multiply the product by one hundred.
Apple: 4
Total fruit: 12
So,
4/12 = 0.3
The percentage of apples:
30%
Identify the 3 terms by name: 5x2 - 7x + 2
Answers
Answer:
5x2-7x-1
Step-by-step explanation:
STEP1:Equation at the end of step 1
((5x2 - 7x) - 3) + 2
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 5x2-7x-1
The first term is, 5x2 its coefficient is 5 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is -1
Step-1 : Multiply the coefficient of the first term by the constant 5 • -1 = -5
Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is -7 .
-5 + 1 = -4 -1 + 5 = 4
what is 200 + 30 - 60 + 70 - 20
Answers
Answer:
220
Use PEMDAS
Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges. Write a formula that will help her determine how much she will make in a week. Let's Let a= total amount earned, h= hours worked in one week, n= number of bouquets she arranged, and b= bonus amount for bouquets
Answers
Answer: a = 7.5h + bn
Step-by-step explanation:
Since Ava works at a florist shop and earns $7.50 an hour plus a fixed bonus for each bouquet she arranges.
where,
a = total amount earned,
h= hours worked in one week,
n = number of bouquets she arranged
b= bonus amount for bouquets
Then, the formula that will help her determine how much she will make in a week will be:
a = (7.5 × h) + (b × n)
a = 7.5h + bn
The formula is a = 7.5h + bn.
HELP PLZZ
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
A. 13
B. 7
C. 1.9
D. 9.5
Answers
Answer:
Step-by-step explanation:9.5
CAN ANYONE SOLVE THIS QUICK!
Answers
Answer:
52.8
Step-by-step explanation:
We take the midpoint of the range as, x
Midpoint = (lower + upper) /2
Midpoint, x ___ Frequency, F
15 ___________ 7
45 __________27
75 __________12
105 __________4
The mean :
Σfx / Σf
= [(15*7) + (45*27) + (75*12) + (105*4)] / (7+27+12+4)
= 2460 / 50
= 52.8
Math doesn't suit me; I have to cooperate with it.
Answers
Answer:
200 vs 230
$30
Step-by-step explanation:
Which points are solutions to the system of inequalities shown below?
Check all that apply.
у< x
y< 5
X<4
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
Answers
Answer:
A. (3,0)
D. (0,-1)
E. (2, 1)
Step-by-step explanation:
A. (3,0)
B. (1,7)
C. (6,2)
D. (0,-1)
E. (2, 1)
F. (3, 4)
у< x #############################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
y< 5 ####################
A. (3,0)
C. (6,2)
D. (0,-1)
E. (2, 1)
X<4 ###################
A. (3,0)
D. (0,-1)
E. (2, 1)
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answers
Answer:
The answer;
C. y>= 2
The choose ( C)
Please help I’ll give brainliest
Answers
Answer:
2 is the base
Step-by-step explanation:
2^12
The 2 is the base and the 12 is the exponent
Help! these is 1 question this time and these are my last points! so please help this all I have to do today (DUE today) ty take ur time and have a great day luvs<3! (for people who can’t see clearly) ;Kelli has two pitchers of water. The blue pitcher holds 3 liters of water. The red pitcher holds 2,800 millimeters. Which pitcher has the greater liquid volume? How do you know?;
Answers
Answer:
The blue pitcher
Step-by-step explanation:
2,800 ML= 2.8 liters
HELP pls help me with this problem.
Answers
Answer:
8units
Step-by-step explanation:
area of a triangle=1/2base x height
1/2×4×4
2×4
8units
Point P (a, b), where neither a orbis equal to 0, is subject to the following operations, one after the other in any order:
reflection about the x-axis, reflection about the y-axis, reflection about the origin.
What will be the final position of point P?
Answers
Answer:
(a, b)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
Reflection is the flipping of an object about a point. If a point A(x, y) is reflected over x axis, the new point is at A'(x, -y). If the a point A(x, y) is reflected over y axis, the new point is at A'(-x, y). If a point A(x, y) is reflected over origin, the new point is at A'(-x, -y).
Given point P(a, b). It reflection about the x-axis gives P'(a, -b), then the reflection about the y-axis gives P"(-a, -b). Lastly, reflection about the origin gives P"'(a, b)
Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x - 2?
Answers
Answer:
I think it's 2 no. cause it has arrow/ like this and it is pointing- 2/3 so I think it can be wrong also so don't think I m wrong I'll help you in needs
Sarah accepted a new job at a company with a contract guaranteeing annual raises. Sarah's salary after working for nn years can be determined using the equation S=90000+3500n.S=90000+3500n. What is the slope of the equation and what is its interpretation in the context of the problem?
Answers
Answer:
Slope = 3500
Sarah's salary will increase by 3500 per year
Step-by-step explanation:
Given that Sarah's salary after working n years is given as :
S=90000+3500n
The equation given is similar to a linear equation :
y = bx + c ;
Where, b = slope of the linear equation
Therefore, relating the equation to that of a linear model ; the slope, b is equivalent to 3500 in Sarah's salary equation.
Slope is simply described as the rate of change, the change in y per unit change in x ;
Therefore, this means Sarah's salary will increase by 3500 per year
What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answers
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
Find m angle f.
A. 88
B. 28
C. 62
D. 70
Answers
solve for x and y, round to one decimal place
Answers
Answer:
x=48
y=50
Step-by-step explanation:
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Y=50 I think this is right but I’m not sure