Answers
Answer:
[tex]y=2x^2+1[/tex]
Step-by-step explanation:
The general equation for a parabola in vertex form is the following:
[tex]y=a(x-h)^2+k[/tex]
Where ([tex]h,k[/tex]) is the parabola's vertex and (a) is the stretch and compression factor. As one can see in the given graph, the parabola has a vertex at (0, 1), moreover, it passes through the point (1, 3). Substitute these points into the equation for the parabole, and simplify,
[tex]y=a(x-h)^2+k[/tex]
Vertex: (0, 1)
[tex]y=a(x-0)^2+1[/tex]
A point on the parabola: (1, 3)
[tex]3=a(1-0)^2+1[/tex]
[tex]3=a1+1\\3 = a + 1\\[/tex]
Inverse operations,
[tex]3=a+1[/tex]
[tex]2 = a[/tex]
Substitute back into the original expression:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=2(x-0)^2+1[/tex]
Simplify to put in standard form:
[tex]y=2(x-0)^2+1[/tex]
[tex]y=2(x)^2+1[/tex]
[tex]y=2x^2+1[/tex]
Related Questions
If n(a)=40,n(b)=60 and n(a∪b)=80.find the value of (a∩b.
Answers
Answer:
20
Step-by-step explanation:
we know,
n(aUb)=n(a)+n(b)-n(a∩b)
so,
80=40+60-n(a∩b)
or, 80-(40+60)=-n(a∩b)
or, -n(a∩b)=80-100
or, -n(a∩b)=-20
or, n(a∩b)=20
Maria sold t-shirts at a festival. She made 6$ for each t-shirt she sold. Her expenses were 30$. If she made a profit of 84, how many t-shirts did she sell?
Answers
84 - $30 = 54
54/9 = $6
I hope I explained it, Goodluck :)
help me please I'm not sure if im right
Answers
Answer:
291 cm³
Does the answer help you?
Given A(-4,8), D(-7,4), and H(-3,1), plot the points, and
trace the triangle.
Answers
Answer:
See attached
Step-by-step explanation:
The points are plotted and connected to make a triangle
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(-4,8){\circle*{0.3}}\put(-7,4){\circle*{0.3}}\put(-3,1){\circle*{0.3}}\qbezier(-4,8)(-4,8)(-3,1)\qbezier(-4,8)(-4,8)(-7,4)\qbezier(-7,4)(-7,4)(-3,1)\end{picture}[/tex]
solve for the value of C
Answers
Answer:
Step-by-step explanation:
alguien que me pueda ayudar a hacer mi tarea !!!!
d. En la granja de Don José debe entregar 325, 56 Kg de maiz para alimenter sus animales, pero recibieron ¿cuántos kilogramos de mais les faltó recibin Golamete 100kg
Datos Solución
porfa ayúdame
Answers
Answer:
269 , yo creo nose pero yo creo que necesitas restar sumar o dividir
What is the angle of C?
Answers
Answer:
50°
Step-by-step explanation:
65 + 65 +C = 180
130+C = 180
C = 180 - 130 = 50
Hi there!
[tex]\large\boxed{C = 50^o}[/tex]
A line contains an angle of 180°, so:
∠C = 180° - 65° - 65°
∠C = 180° - 130°
∠C = 50°
please help!! will give brainliest
Answers
Answer:
In this question, since order doesn't really matter, we can consider cats and dogs to be the same thing.
So there are a total of 11 animals (5+6).
The first animal can be placed in 11 places.
The second animal can be placed in 10 places.
The third animal can be placed in 9 places.
.
.
.
The eleventh animal can be placed in 1 place. (the last spot, whatever that is)
So this question becomes fairly simple, it's just 11 factorial, which can be written as 11!, or 39916800.
Let me know if this helps!
Indicate all possible values for the variable in each of the expressions: sqrt(2x+2)+sqrt(6-4x)
Answers
Answer:
Given expression:
[tex]\sqrt{2x+2}+\sqrt{6-4x}[/tex]The first root is valid when:
2x + 2 ≥ 0 ⇒ 2x ≥ - 2 ⇒ x ≥ - 1The second root is valid when:
6 - 4x ≥ 0 ⇒ 4x ≤ 6 ⇒ x ≤ 1.5So the variable x can get values within interval:
-1 ≤ x ≤ 1.5 orx = [-1, 1.5]Use the point slope formula…
Answers
Answer:
y = 3x + 7
Step-by-step explanation:
When lines are parallel, the slope is the same but the y-intercept is not
The blue line is the graph for y = 3x + 2
The slope for the line is 3/1
So the slope for the line containing (-2,1) should be 3/1
I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.
I graphed the line in yellow
In y=mx + b, b = 7, and mx = 3x
So the equation is y = 3x + 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Decide!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
15 unitsStep-by-step explanation:
Let the coordinates of point B are (x, y).
Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).
x = 15 cos (-60°) = 7.5y = 15 sin (-60°) = -12.99The distance between A and B is:
AB = [tex]\sqrt{(15-7.5)^2+(0+12.99)^2} = \sqrt{225}[/tex] = 15 unitsAnother solutionSince OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.
In the game of Twister, a spinner randomly selects either an arm or a leg, and also selects one of four colors, one of which is red, each with equal probability, and players have to move the appropriate body part to the appropriately colored spot on the ground. There are four players. Each player spins once, and makes the move the spinner selects. What is the probability that in these four spins, there will be exactly two moves to a red spot, and the body part selected to move will be an arm exactly $3$ times
Answers
Answer:
In agreement to your twister question, a spinner can randomly select whether they want to put an arm or a leg, meaning this choice is entirely upon them. The color choice is also independent, so spinners are allowed to choose freely, whichever color as well as limb they want to move in the game of twister.
See the attached image for step by step explanation of the final probability
A circle has a radius of \sqrt{45} 45 square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.
What is the equation of this circle?
Answers
Answer:
(x + 2.4)² + (y + 4.8)² = 45Step-by-step explanation:
Circle equation:
(x - h)² + (y - k)² = r², where (h, k) is the center, r - radiusSubstitute the values to get the equation:
(x - (- 2.4))² + (y - (-4.8))² = (√45)²(x + 2.4)² + (y + 4.8)² = 45Answer:
(x+2.4)^2 + (y+4.8)^2 =45
Step-by-step explanation:
HELP!
11. When you multiply two decimals less than 1, how does the product compare to the factors?
Illustrate with an example.
the ctarting line there are water stations every
Answers
Answer:
When multiplying a number by a decimal less than one, the product will be smaller than the number being multiplied. This is because we are finding a fractional amount of a quantity. For example, 0.1 x 0.8 = 0.08, because the question is asking us to find one tenth of eight tenths.
Answer:
It will always be less than both.
Step-by-step explanation:
Multiplying by something smaller than 1 will always make the result smaller, so taking something like
0.8⋅0.5 means that we are taking half of 0.8
OR 45 of 0.5 (same thing)
either way it makes it smaller, which means we will get something smaller than both.
Problem at the River-A girl with a fox ,a goose and a bag of corn wanted to cross a river she could only take one animal or object at a time the fox first,the goose if they were left alone together.if the girl took the fox first the goose would eat the corn . How did the girl get all there safely across the river?
Answers
This is a great riddle to get people thinking, because it's not an obvious answer!
River A, you have: a fox, a goose, and a bag of corn.
So, you've probably gone through this looking for some way to bring one of them over, but if she takes the cornmeal, the fox will eat the goose, if she takes the fox, the goose will eat the corn, and if she takes the goose, then the fox and the cornmeal will be left together (which isn't bad until you have to pick one of them to take over with the goose).
Let's start by picking one of the animals (or objects) to take over first. Because it takes two trips for things to get bad with the goose, will do it first.
We take the goose across river A, and come back to the fox and the cornmeal. Nothing bad has happened. Now we know that if we leave the goose with the fox or the cornmeal, the cornmeal or the goose will be eaten.
There is one other thing we can do! The girl can only take one thing back and forth, but she can bring something back when she takes one of them across!
This means that:
She can take the goose first and the cornmeal second, but when she takes the cormeal, she can grab the goose and bring it back with her, so now the cornmeal is across river A but the goose isn't! Then, she can drop off the gosse and grab the fox, because the fox won't do anything to the cornmeal, and then come back for the goose!
Just ask if you have an questions! :)
Find: 499 decreased by 100%
Answers
Answer:
0,
If you want, I can explain more into it.
In a birthday party, a cake was cut into 30 equal sizes pieces. At the end of the party, 8 pieces were left. What was the percentage of cake consumped?
Answers
Answer:
73 1/3 %
Step-by-step explanation:
8 pieces were left
30-8 = 22 so 22 were consumed
22/30 is the percent consumed
.7333333
73.333333%
We know .333333333 is 1/3
73 1/3 %
Solve the equation for x.
5x - ( 4x - 1) = 2
1
a.
C.
1
9
bi
b. - 1
d.
1
Answers
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
Let's get rid of the parenthesis
Multiply whatever is in the parenthesis by -1 since there is a minus sign before it
5x - 4x + 1 = 2
Move common terms to one side, so subtract 1 from both sides
5x - 4x + 1 = 2
- 1 - 1
5x - 4x = 1
Subtract the 5x by 4x
x = 1
Answer:
x = 1
Step-by-step explanation:
5x - (4x - 1) = 2
5x - 4x + 1 = 2 {Distribute property (-1) is distributed with 4x and (-1)}
Combine like terms
x + 1 = 2
Subtract 1 from both sides
x = 2 - 1
x = 1
Click on the graphic to select the figure that would make the following "a reflection in line k."
Answers
Answer: Choice A (both are smiley faces)
This is because the reflection doesn't flip the faces upside down or anything (instead it does a left-right swap in a way). This is why both faces are smiley faces.
Which statement explains the type of function that is represented by the equation
y=x2 + 9?
Answers
Algebraic equation
Pls help ASAP! Have to be done with school before I leave for work
Answers
Answer:
M = (-4, -5)
Step-by-step explanation:
M = (-2-6)/2 , (-10+0)/2
M = -8/2 , -10/2
M = (-4, -5)
Answer:
(-4, -5)
Step-by-step explanation:
x1 = -2 ,x2 =-6, y1= -10, y2=0
(-2-6/2 ,-10+0/2)
(-8/2, -10/2)
(-4,-5)
968 ÷ 38 help me now plzzz
Answers
Answer:
25.47368421
Step-by-step explanation:
just use a calculator
I need help ASAP!! Finding the angle Please help me
Answers
Answer:
Does the answer help you?
[tex]\\ \sf\longmapsto Sin\Theta=\dfrac{P}{H}[/tex]
[tex]\\ \sf\longmapsto sin\Theta=\dfrac{49}{52}[/tex]
2decimal places:-[tex]\\ \sf\longmapsto sin\Theta=0.94[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin71°[/tex]
[tex]\\ \sf\longmapsto \Theta=71°[/tex]
Or
[tex]\\ \sf\longmapsto cos19°[/tex]
1decimal place:-[tex]\\ \sf\longmapsto sin\Theta=0.9[/tex]
[tex]\\ \sf\longmapsto sin\Theta=sin70[/tex]
[tex]\\ \sf\longmapsto \Theta=70°[/tex]
Or[tex]\\ \sf\longmapsto cos20°[/tex]
Hello can you help me work this out ty
Answers
Answer:
x=8
Step-by-step explanation:
You need to isolate the variable.
6x+7=55
Subtract 7 from both side.
6x=48
Divide both sides by 6.
x=8
I hope this helps!
pls ❤ and give brainliest pls
Answer:
x=8
Step-by-step explanation:
For the equation 6x+7=55 subtract 7 from both sides of the equation to get 6x=55-7 55-7 =48 so now you have 6x=48 you need to isolate the variable x by divide both sides by 6 so 6x/6=48/6 you are left with x=8.
can someone help? Please
Answers
Answer: I can’t help with that because there should be a graph
Step-by-step explanation:
how to add fraction well explained gets brainliest
Answers
Answer:
Step-by-step explanation:
Here is an example:
2/3 +4/5
Cross multiply
3 times 4 = 12
5 times 2 = 10
These 2 products will be added in the numerators
Now multiply denominators
3 times 5 = 15
Finally form them into a fraction
12+10/15
22/15
This method is not the original way to do it but its just how I do it quickly
Here is the original method:
2/3+4/5
Get common denominators
Multiply the first fraction (both numerator and denominator) by 5
2(5)/3(5) = 10/15
Now multiply the second fraction (both numerator and denominator) by 3
4(3)/5(3) = 12/15
Add those 2 fractions together and you should get 10/15+12/15 = 22/15
Step-by-step explanation:
⅛
In this fraction, 1 is called numerator and 8 is called denominator.
Let's say you want to add ⅛ and ⅞. Here, denominators are same, so you just add the numerator and denominator remains the same. So, it becomes (1+7)/8 = 8/8.
If the denominator is different you first make them same, by cross multipling.
Let's say you want to add ¼ and ⅔. Then you multiply the numerator and denominator of ¼ by 3 (because it is the denominator of the second fraction). So, ¼ becomes (1×3)/(4×3) = 3/12. The same goes for ⅔, you multiply the numerator and denominator by 4 (it is the denominator of the other fraction). So, ⅔ becomes (2×4)/(3×4) = 8/12. So, now you add 3/12 and 8/12 the same way you added ⅛ and ⅞ above. Add the numerator, denominator remains the same. So, answer is (3+8)/12 = 11/12.
Hope it helps!!
Big sleds must hold 3 children and small sleds must hold 2 children.
If 17 children want to go sledding at the same time, how many of each
type of sled is needed?
Answers
Answer:
5 big sleds and 1 small sled
Big sled=3 children
5 big sleds=3*5
3*5=15
5 big sleds=15 children
1 small shed=2 children
15+2=17
5 big sleds and 1 small = 5x3 + 1x2 = 17
3 big sleds and 4 small = 3x3 + 4x2 = 17
1 big sled and 7 small = 1x3 + 7x2 = 17
Look at this cube
If the side lengths are halved, then which of the following statements about its surface area will be true?
Answers
Answer:
all of them
Step-by-step explanation:
what is the area of triengle if b=6cm and h=4 cm.
please explain it and do all the process
Answers
Answer:
area= 1/2(6)(4)= 3*4=12
Step-by-step explanation:
area of a triangle is 1/2 the base times the height
Answer:
Area=12cm²
Step-by-step explanation:
height =4cm,base=6cm.
A=h×b/2
=4cm×6cm/2
=24cm/2
=12cm²
Need an explanation
Answers
Answer: Choice B
[tex](6\sqrt{5}+5)i[/tex]
==========================================================
Work Shown:
[tex]\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\[/tex]
This points us to answer choice B
