The equation of parabola is (x − 3)² = −8(y − 2).
What is parabola?A parabola is a U-shaped curve that is drawn for a quadratic function, f(x) = ax²+ bx + c. The graph of the parabola is downward (or opens down), when the value of a is less than 0, a < 0. The graph of parabola is upward (or opens up) when the value of a is more than 0, a > 0.
Given:
Vertex = (3, 2)
Directrix, y =4
line of symmetry is the Y value in the vertex = 2
directrix, y= 2 - p
p = -2
and, a= 1/4p = -1/8
and, focus = (3, (2-2)) = (2, 0)
Now, equation of parabola
y= -1/8 (x- 3)² + 2
-8y = (x- 3)² + 2
(x − 3)² = −8(y − 2)
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A clothing store is tracking how much money adults are spending on clothes each month from their only store. Which description represents a population?
adults who buy any clothes
adults who buy their children’s clothes
adults who are not married
adults who are in college
A clothing store is tracking, adults who are spending on clothes each month from their only store then the adults who buy any clothes consider as population of the store.
Adults who buy any clothes represents a population, who are spending money on clothes each month from their only store.As others adults who buy their children’s clothes does not include them selves, while buying clothes.Adults who are not married will buy clothes buy them selves.So, we cannot consider as population of the store.
Adults who are in college will not buy adults clothes, a teenagers.So, they are not consider as population of the store.
Therefore,
Adults who buy any clothes consider as population of the store.
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280 -8 (-14+x)
What’s the solution??
[tex]=280-8(-14)-8(x)\\=280+112-8x\\=392-8x[/tex]
Attached is the solution. be alert -8 multiplies everything in the brackets
Two car owners are in need of car repairs. Hazel will need to pay the mechanic $1 per minute for labor, plus $40 to cover the cost of new parts. Megan will need to pay $10 for parts and $4 per minute for labor. Depending on how long each repair takes, the two jobs might end up costing the same amount. How much time would that take?
Write a system of equations, graph them, and type the solution.
Answer: 10 minutes
Step-by-step explanation:
screenshot underneath
Simplify them
Answer =11
a= bc-3c-3b/6c
look at the screenshots for steps
hi, i need help with this:)
Answer:
3
Step-by-step explanation:
Vol = length x width x height
Vol = 3 x 3 x3
Vol = 27
What is $609,786 rounded to the nearest 1,000 dollars?
Answer:
$610.000
Step-by-step explanation:
The thousands digit is and the hundreds is 7 so we round up the 9.
Answer is $610.000
R.3 Write a ratio: word problems SBQ
There are 38 empty parking spots and 12 full parking spots in the parking garage. What is
the ratio of the number of empty parking spots to the number of full parking spots?
Answer:
[tex]19:6[/tex]
Step-by-step explanation:
What is a ratio in math?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
So as per the question we have :-
38 empty parking spots
12 full parking spots
the ratio of the number of empty parking spots to the number of full parking spots can be expressed as :
[tex]= 38:12[/tex]
And by simplifying it to the shortest value possible we get it as
[tex]19:6[/tex]
Hope this helped you out and if so please help me out by marking me as the brainliest answer,
a fellow student,
Cheers
Ella buys a hat in Sweden for 50 SEK( Swedish Krona).
Find the VAT paid by Ella.
Answer:
12.5 SEK
Step-by-step explanation:
VAT percentage in Sweden is 25% so, 25% of 50 = 12.5
What is the inverse function of d(x)=2x-4?
d-¹(x) = 1/2x+2
d-¹(x) =4x+2
d-¹(x) =4x-2
d-¹(x) =1/2x-2
Inverse function of expression is [tex]\frac{1}{2}[/tex]x + 2.
What is an inverse function?An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f1.
In the broadest sense, inverse functions are functions that "reverse" one another. The inverse, f 1 f-1 f1f, start superscript, minus, 1, end superscript, must take b to a, for instance, if f takes a to b.
Given Data
d(x) = 2x -4
Inverse function-
d⁻¹(x)
y = 2x-4
2x = y-4
x = [tex]\frac{y +4}{2}[/tex]
y = [tex]\frac{x+4}{2}[/tex]
y = [tex]\frac{1}{2}[/tex]x + 2
Inverse function of expression is [tex]\frac{1}{2}[/tex]x + 2.
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AP Stats work, really confused please help asap!! Thank you
Answer:
The points scored for each game are approximately normally distributed. The numbers distributed are in order of value from the least to greatest, making it easy to get the medium or mean.
Step-by-step explanation:
Choose the improper fraction that is equivalent to the mixed numbers 4 3/4
Answer:
d) 19/4
Step-by-step explanation:
Given mixed number,
→ 4 3/4
Now the improper fraction is,
→ 4 3/4
→ 19/4
Hence, option (d) is correct.
Find the missing side length, x. (image)
The missing side of the triangle is 7.2 units
How to find the missing side of a triangle?ABC is a triangle.
AD bisects(cut into half) the angle ∠BAC.
Therefore,
AB / BD = AC / DC
Hence,
AB = 12
BD = x
AC = 20
DC = 12
Therefore,
12 / x = 20 / 12
cross multiply
12 × 12 = 20x
144 = 20x
divide both sides by 20
x = 144 / 20
Therefore,
x = 7.2 units.
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The product of two positive integers x and
y is 36 and their sum is 20. What is x and y?
Answer:
2 and 18
Step-by-step explanation:
2*18 = 36, and 2+18 = 20
Answer:
2 and 18.
Step-by-step explanation:
18 * 2 = 36
18 + 2 = 20
n(x)=16-0.5;n(x)=48
please hope meeeeeeeeeeeeeee
The value of x is -64.
What is equation?An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
For example, 3x + 5 = 15.
Given:
n(x)=16-0.5x;
n(x)=48
So, equation both
48=16-0.5x
Now, add 0.5 both sides
0.5x+48=16
Now, subtract 48 both sides
0.5x=-32
Divide both side by 0.5
x= -64
Hence, the value of x is -64.
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What is the distance between the following points?
Choose 1 answer.
7
9
√65
√80
The distance between points (-6 , 4 ) and (-5 , -4 ) marked in the graph
is [tex]\sqrt{65}[/tex]
solution:From the given graph the two points are:
A = ( -6 , 4 ) , B = (-5 , -4 )
we have the distance from A to B ,
to find distance the formula is,
Distance = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
= [tex]\sqrt{(-5 - (-6))^{2} + (-4 -4)^{2} }[/tex]
= [tex]\sqrt{1^{2} + (- 8)^{2} }[/tex]
= [tex]\sqrt{1 + 64}[/tex]
= [tex]\sqrt{65}[/tex]
so the distance between points (- 6 , 4 ) and ( -5 , -4 ) is [tex]\sqrt{65}[/tex]
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If it is an equilateral triangle, then all sides of a triangle are congruent. converse: __________________________ inverse: ____________________________ contrapositive: _______________________
All sides of an equilateral triangle are congruent [equal]
Triangles are categorized into three
The sides and angles of a scalene triangle are not equalIsosceles triangle; two sides are equal and the opposing angles of the equal sides are also equalEquilateral triangle is a triangle whose three sides are equal in length. the angles are also equal, [tex]60^{0}[/tex] .it is the only regular polygon with three sidesRead more here
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. If a number is decreased by 4 and divided by 6, the result is
8.What would be the result if 2 is subtracted from the number
and then it is divided by 5 ?
Answer:
10
Step-by-step explanation:
The number is 52. If you subtract 2 you get 50, then after dividing by 5 you get 10.
A shape is shown on the graph: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6. Which of the following is a reflection of the shape? (5 points) a A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6. b A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 2 and negative 4, negative 2 and negative 4, negative 6. c A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 2, 4 and 6, 2. d A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 4 and negative 6, negative 4 and negative 6, negative 2.
The option which gives the reflection of the triangle (shape) with vertices, (2, -2), (4, -2), and (2, -6) is option a
a. A triangle is shown on ordered pair (2, 2), (4, 2), (2, 6)
What is a reflection transformation?A reflection transformation is one in which the line across which the object is reflected acts like a mirror, such that the points are swapped across the line of reflection.
The coordinates of the vertices of the triangle on the coordinate grid are;
(2, -2), (4, -2), and (2, -6)Required; The coordinates of a reflection of the shape (the triangle)
Solution; The coordinates of a point (x, y) following a reflection across the y–axis is (-x, y)
The vertices of the image of the triangle following a reflection across the y–axis are therefore;
(2, -2) → (-2, -2)(4, -2) → (-4, -2)(2, -6) → (-2, -6)A reflection of the point (x, y) across the x–axis gives the point (x, -y)
A reflection of the triangle across the x–axis therefore gives;
(2, -2) → (2, 2)(4, -2) → (4, 2)(2, -6) → (2, 6)A reflection of the point (x, y) across the line y = x, gives (y, x)
The vertices of the triangle following a reflection across the line y = x are therefore;
(2, -2) → (-2, 2)(4, -2) → (-2, 4)(2, -6) → (-6, 2)A reflection of the point (x, y) across the line y = -x, gives (-y, -x)
The vertices of the triangle following a reflection across the line y = -x are therefore;
(2, -2) → (2, -2)(4, -2) → (2, -4)(2, -6) → (6, -2)The coordinates of the triangle in the options are;
a) (2, 2), (4, 2), (2, 6)
b) (-2, -2), (-4, -2), (-4, -6)
c) (2, 2), (2, 4), (6, 2)
d) (-2, -4), (-6, -4), (-6, -2)
The correct option is therefore option a with points on the image of the triangle of (2, 2), (4, 2), (2, 6) which corresponds with the coordinates of the triangle following a reflection across the x–axis
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Kurt bowled 4 strikes in his 10 frames. Write his occurrence of strikes as a
fraction, then as a percent.
Answer:
4/10 and 40%
Step-by-step explanation:
He had 4 Strikes out of a total 10 Tries. 4 of his 10 tries were strikes.
So its 4/10.
Jessie estimates the weight of her cat to be 8 pounds. The actual weight of the cat was 10 pounds. Find the percent error.
Determine the intercepts of the line.
Answer:
y=(0,-45)
x=(-10,0)
Step-by-step explanation:
It would mean a lot if someone would help me with this! I will give brainliest! Thank you!!!
Select the graph that correctly represents the following equation.
2 x − y = 1
Answer:
C
Step-by-step explanation:
Its c im smart trust me
Answer: C
Step-by-step explanation:
2x - y = 1
-2x -2x
-y = -2x + 1
(-1) -y = -2x + 1 (1)
y = 2x-1
slope is positive 2/1, and the y-intercept is -1
Please help and thanks!!! :))
In a trivia game, each correct answer in rounds 1 and 2 is worth 3 points.
The bonus question is worth 5 points. Lily's team had j correct answers in
round 1 and k correct answers in round 2. They answered the bonus
question correctly. What is their score, s? Indicate whether or not each
equation represents the situation.
s=3jk+5
s=3j+3k+5
s=3(j+k)+5
s=3(j+k+5)
Answer:
s=3k+3j+5/s=3(j+k)+5
Step-by-step explanation:
3 x k=3k
3 x j=3j
bonus question:5
total: 3k+3j+5
If you factorize that then you would get 3(j+k)+5
The equation that represents the situation is s = 3(j + k) + 5.
the correct option is C.
What is an equation?Two algebraic expressions having the same value and symbol '=' in between are called an equation.
Given:
In a trivia game, each correct answer in rounds 1 and 2 is worth 3 points.
The bonus question is worth 5 points.
Lily's team had j correct answers in round 1 and k correct answers in round 2.
They answered the bonus question correctly.
That means,
s = 3j + 3k + 5
s = 3(j + k) + 5
Therefore, the equation is s = 3(j + k) + 5.
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Pease help me this is dew tonight!
Answer:
-2v+2u+5
Step-by-step explanation:
Distribute the negative sign outside of the parentheses to the values within the parentheses (2v, -2u, and -5). This will give you -2v+2u+5. Let me know if you want a more detailed explanation, hope this helps
what is the written standard form for 4x-8=9y-5
Answer: y = 4/9 x - 1/3
Step-by-step explanation:
standard form means y = mx + c
so,
4x-8=9y-5
4x-8+5=9y
(4x-3)/9=y
y = (4/9)x - (1/3)
(-4.8) (-0.6) please explain the answer
Answer : These are points on a coordinate plane
each year, students in an elementary school take a standardizzed math test at the end of the school year. for a class of fourth-graders, the average score was 55.1 with a standard deviation of 12.3. in the third grade, these same students had an average score of 61.7 with a standard deviation of 14.0. the correlation between the two sets of scores is r
Answer:
y = 0.835x + 3.58
Step-by-step explanation:
How many of kg of mixed nuts that contain 40% peanuts must bill add to 18 kg of mixed nuts that contain 62% peanuts to make a mixture with 52% peanuts
To find, let the no. of kg of mixed nuts that contains 40% peanuts be called [tex]x[/tex].
We know,
Total peanuts already in the mixture = 18 x [tex]\frac{62}{100}[/tex] = 11.16 kg
The new mixture contains 52% peanuts, then, [tex]\frac{x_{peanuts} }{x_{total} }[/tex] = 0.52.
Furthermore, 40% must be added.
[tex]x_{peanuts}[/tex] = [tex]0.4x[/tex] + [tex]11.16[/tex]
This gives us the following equation,
[tex]\frac{0.4x + 11.16}{18 + x } = 0.52[/tex]
Total mass =[tex]x + 18[/tex]
⇒ [tex]0.52 x +[/tex] 0.52 x 18 = [tex]0.4x + 11.16[/tex]
⇒ 0.12[tex]x[/tex] = (0.62 - 0.52 ) x 18
⇒ [tex]x[/tex] = 15 kg
Hence, 15 kg must be added.
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If −3+ n≤ 25, which inequality represents the possible range of values for 4n-12?
A) 4n-12≤ -100
B) 4n-12≤ 100
C) 4n-122-100
D) 4n-12≥100
The range is 4n - 12≤100.
The inequality is -3 + n≤25. From this, we can find the range of n.
n≤25 + 3
n≤28
Now we have to find the range of 4n - 12. For this, we have to ≤multiply both sides with 4 and then subtract it from 12, in the range of n.
That is;
4n≤ 28×4
4n - 12 ≤112 -12
4n - 12 ≤100
Therefore the range is 4n - 12≤ 100.
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