Answer:
The equation is;
y = 2x^2 -8x + 12
Step-by-step explanation:
The vertex form can be written as;
a(x-h)^2 + k
(h,k) represents the coordinates of the vertex
In this case, we have this as (2,4)
The value of a is positive as the parabola opens up and it is the axis of symmetry
It is the x value that divides the graph into 2
Thus, we have x as = 2
so the equation of the graph will be;
2(x-2)^2 + 4
2(x^2 - 4x + 4) + 4
= 2x^2 -8x + 8 + 4
= 2x^2 -8x + 12
A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?
Answer:
4.8
Step-by-step explanation:
took test
The model of the city would be 4.8 meters in its greatest dimension.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A city stretches for 480,000 meters in its greatest dimension.
And, The model will be 100,000 times smaller than the actual city.
Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.
Therefore, the size of the model in its greatest dimension would be;
⇒ 480,000 meters ÷ 100,000
⇒ 4.8 meters
Thus, the model of the city would be 4.8 meters in its greatest dimension.
Learn more about the divide visit:
https://brainly.com/question/28119824
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What is the center of the circle x² + y2 - 4 = 0?
Answer:
(0,0)
Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.
can y’all help me???
what is 10 x 10 -9x 6 + 7 first to answer will get brainlyest
A kukura puzzle on my math homework plz help
Answer:
i have no clue ngl but online theres websites that will solve them for you
Step-by-step explanation:
if you want a link lmk lol
Divide £ 45 among 3 person so that their share are in the ratio 4:5:6
Answer:
12, 15, 18
Step-by-step explanation:
4x+5x+6x=45
15x=45
x=3
4x=12, 5x=15, 6x= 18
Given R'S'T'U' is a dilation of RSTU, find the scale factor of dilation.
Answer:
The scale factor of a dilation is 3.
Step-by-step explanation:
Given the length ST of the rectangle RSTU
The length ST of the rectangle = 8 units
It is clear that the corresponding length S'T' = 23 is 3 times the length of the original length ST = 8
i.e.
S'T' = 3(ST)
S'T' = 3(8) ∵ ST = 8
S'T' = 24
It indicates that the RSTU has been dilated by a scale factor of 3.
As the scale factor 3 > 1, it also indicates that the dilated rectangle R'S'T'U is enlarged.
Therefore, the scale factor of a dilation is 3.
solve the equation and show the work please
Jerry has a garden that has a length of 30 feet and a width of 10 feet. Fertilizer is on sale for $2 per bottle. If each bottle covers 25 square feet, how much will it cost to fertilize the whole garden?
Answer: $50
Step-by-step explanation:
30 × 10 = 40 ft² [garden area]
40 ÷ 25 = 1.6
1.6 ≈ 2
For the area of the entire garden, you need to buy two bottles of fertilizer.
25 × 2 = 50 [fertilization cost for the whole garden]
Factor the expression completely.
Answer:
Factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
Step-by-step explanation:
We need to factor the expression [tex]xy^4+x^4y^4[/tex] completely
We need to find common terms in the expression.
Looking at the expression, we get [tex]xy^4[/tex] is common in both terms, so we can write:
[tex]xy^4+x^4y^4\\=xy^4(1+x^3)[/tex]
So, taking out the common expression we get: [tex]xy^4(1+x^3)[/tex]
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:
[tex]a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
So, we get:
[tex]xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)[/tex]
Therefor factoring the expression [tex]xy^4+x^4y^4[/tex] completely we get [tex]\mathbf{xy^4(x+1)(x^2-x+1)}[/tex]
What is an equation of the line that passes through the points (-7, -7) and (-7, 4)
Answer:
x=-7
Step-by-step explanation:
y=mx+c
m=rise over run
m=0
x=-7
Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
1-yes rhombus
2-no rhombus
3-yes rhombus
i need to know the next sequence in these fractions simplified
Answer:
The sequence is add 3/20
Step-by-step explanation:
A subset of values of the function g(x) is shown in the following table.
Answer:
Option (4)
Step-by-step explanation:
x g(x) Ist difference IInd difference Ratio
1 13 - - -
2 3 3 - 13 = -10 - [tex]\frac{3}{13}[/tex]
3 -3 -3 - 3 = -6 -6 - (-10) = 4 [tex]\frac{-3}{3}=-1[/tex]
4 -5 -5 - (-3) = -2 -2 - (-6) = 4 [tex]\frac{-5}{-3}=\frac{5}{3}[/tex]
5 -3 -3 - (-5) = 2 2 - (-2) = 4 [tex]\frac{-3}{-5}=\frac{3}{5}[/tex]
This table depicts,
1). Ist difference is not common
2). IInd difference is common
3). Ratio is not common
Therefore, this table represents a quadratic function because the second difference are all the same value.
Option (4) will be the answer.
The population of a town is 2500 and is decreasing at a rate of 3.5% per year. Use an exponent function to find the population of the town after 5 years
Answer:
2099
Step-by-step explanation:
The formula for Exponential Decrease is given as:
P(t) = Po × e ^-rt
Where
r = Decrease rate = 3.5% = 0.035
t = time in years = 5 years
Po = Initial population = 2500
P(t) = Current Population after t years
Hence:
P(t) = 2500 × e^ -(5 × 0.035)
P(t) = 2500 × e^-0.175
P(t) = 2098.6425519
Approximately = 2099
The population of the town after 5 years = 2099
152=8(3a-2) justify each step
Step-by-step explanation:
152 = 8(3a - 2)
152 = 8 × 3a - 8 × 2
152 = 24a - 16
152 + 16 = 24a
168 = 24a
a = 168/24
a = 7
Answer:
-7
Step-by-step explanation:
152=8(3a-2)
8(3a-2)=152
8(3a-2)/8=(152){8)
3a-2=19
3a-2+2=19+2
3a=21
3a/3=21/3
a=-7
Given quadrilateral RSTU, what is the measure of angle R? HELPPPPPPP PLEASEEEEE!!!!!!
Answer: did you ever get the answer?
Step-by-step explanation:
Answer:
Step-by-step explanation:
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i need to identify the slope and the y-intercept of the line with a given equation, the given equation is y = 1/2x +5 . i need to graph it aswell.
Answer:
y-intercept: 5
slope: 1/2
Step-by-step explanation:
The equation y=1/2x+5 is an example of y-intercept form(y=mx+b). This is where b represents the y-intercept and m represents the slope. I will not graph this for you but can explain it.
First plot the y-intercept on the graph. (0.5). Then use the slope to find the next point off of the y-intercept. So for example, the next point would be (2,6).
Sandra is making pizzas for a party. each pizza will have 8 slices. she plans on 2 slices per person. if there will be 12 people at the party, how many pizzas should she make?
Answer:
3 pizzas
Step-by-step explanation:
12 x 2 = 24
24 divided by 8 = 3
A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ
Answer:
It leaks half a gallon each hour.
Step-by-step explanation:
Answer:
Call the plumber
Step-by-step explanation:
If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.
1 Which formula shows a linear equation?
A. C = 2ar
B. A = ar?
C.V=ar
D.dA =-(
Answer:
A=AR is the answer
Step-by-step explanation:
HOPE IT HELPS YOU PLEASE MARK AS BRAINLIEST10x + 5 - 2x + 9x.
HELP IMMEDIATELY PLEASEEE
Answer: 17x+5
Combine 10x to the 9x which would be 19x then subtract the 2x which gives you 17x+5
Answer: 17x+5
Step-by-step explanation:
10x+5-2x+9x
10x-2x+9x+5
17x+5
Please help me ASAP!!
Answer:
First one is 6
Second on is 45
what's the quotient of 35.86÷2.2
Answer:
The answer to your question is 16.3.
transforming quadratic graphs
Answer:
f(x) = 3(x - 2)² + 4
OR
f(x) = 3x² - 12x + 16
Step-by-step explanation:
Vertex form of a parabola:
y = a(x - h)² + kStandard form of a parabola:
y = ax² + bx + cLet's find the vertex of this parabola.
(h, k) → (2, 4)In order to find the a-value (vertex form), let's use another point besides the vertex on the parabola.
Using (3, 7) for (x, y), let's substitute this point and the vertex (2, 4) for (h, k) into the vertex form equation and solve for a.
7 = a[(3) - (2)]² + 4Simplify using PEMDAS.
7 = a(1)² + 47 = a + 4Subtract 4 from both sides.
a = 3Now we have (h, k) and a of the vertex form.
y = a(x - h)² + k → y = 3(x - 2)² + 4In order to convert from vertex to standard form, simplify the equation by FOILing.
y = 3(x - 2)² + 4y = 3(x² - 4x + 4) + 4Distribute 3 inside the parentheses.
y = 3x² - 12x + 12 + 4Combine like terms.
y = 3x² - 12x + 16Therefore, we have the answer:
Vertex form:
f(x) = 3(x - 2)² + 4Standard form:
f(x) = 3x² - 12x + 16In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?
Answer:
1500%
Step-by-step explanation:
The formula for Percentage increase is
Increase/ Initial Amount × 100
Increase = Current Amount - Initial Amount
Increase = $320,000 - $20,000
Increase = $300,000
Percentage Increase =
$300,000/$20,000 × 100
= 1500%
The percent increase in home value in those 50 years is 1500%
triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle
9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
Additional comment
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
Select the three situations that model a sum of zero.
Explain your answer.
Answer:
Step-by-step explanation:
1,2,4
ASAP plzzz answer 1 and 2!!! Directions are on the screenshot!! 50 pts + Brainliest
Answer:
- 1 -4 for the botome one
Step-by-step explanation: sorry thats all i got
Answer:
negative 1 -4
Step-by-step explanation:
2/3x+5=21 pls use shoe work
[tex]\frac{2}{3}x+5=21\\\frac{2}{3}x=16\\x=16/2/3\\x=16*3/2\\24[/tex]