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Kamila [148]
3 years ago
10

Alicia's MP3 player contains 1,260 song. Given that 35% of the songs are rock songs and 20% of the songs are rap songs, how many

of the songs are other types of songs?
A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot, each color has the same number of cars. If one of the colors is black, how many black cars are in the lot?


Andy's total bill for lunch is $20. The cost of the drink is 15% of the total bill and the rest is the cost of the food. What percent of the total bill did Andy's food cost? What was the cost of his food?

Andrea and her partner are writing a 12-page science report. They completed 25% of the report in class and 50% of the remaining pages after school. How many pages do Andrea and her partner still have to write?

Ricardo graphed a point by starting at the origin and moving 5 units to the left. Then he moved up 2 units. What is the ordered pair for the point he graphed?

THIS WAS ALL THE POINTS I HAD, SORRY ;-;
Mathematics
1 answer:
schepotkina [342]3 years ago
8 0
1. 567
2. 33
3. 85%; $17
4. they have 4 pages left
5. (-5,2)
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Part 4: Identify the vertex, focus and directrix of each. Then sketch the graph.
Nezavi [6.7K]

Answer: 1) Vertex: (6, -2)    Focus: (6, -7/4)     Directrix: y = -9/4

              2) Vertex: (-2, -1)   Focus: (-7/4, -1)     Directrix: x = -9/4

<u>Step-by-step explanation:</u>

Rewrite the equation in vertex format y = a(x - h)² + k   or   x = a(y - k)² + h by completing the square. Divide the b-value by 2 and square it - add that value to both sides of the equation.

  • (h, k) is the vertex
  • p is the distance from the vertex to the focus
  • -p is the distance from the vertex to the directrix

    \bullet\quad a=\dfrac{1}{4p}

1) y = x² - 12x + 34

y-34=x^2-12x\\\\y-34+\bigg(\dfrac{-12}{2}\bigg)^2=x^2-12x+\bigg(\dfrac{-12}{2}\bigg)^2\\\\\\y-34+36=(x-6)^2\\\\y+2=(x-6)^2\\\\y=(x-6)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(6,-2)\\

a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(6,-\dfrac{7}{4}\bigg)\\\\\\\text{Directrix: y= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad y=-\dfrac{9}{4}

*******************************************************************************************

2) x = y² + 2y - 1

x+1=y^2+2y\\\\x+1+\bigg(\dfrac{2}{2}\bigg)^2=y^2+2y+\bigg(\dfrac{2}{2}\bigg)^2\\\\\\x+1+1=(y+1)^2\\\\x+2=(y+1)^2\\\\x=(y+1)^2-2\qquad \rightarrow \qquad a=1\quad (h,k)=(-2,-1)\\

a=\dfrac{1}{4p}\quad \rightarrow \quad 1=\dfrac{1}{4p}\quad \rightarrow \quad p=\dfrac{1}{4}\\\\\\\text{Focus = Vertex + p}\\.\qquad \quad =\dfrac{-8}{4}+\dfrac{1}{4}\\\\.\qquad \quad =-\dfrac{7}{4}\quad \rightarrow \quad\text{Focus}=\bigg(-\dfrac{7}{4},-1\bigg)\\\\\\\text{Directrix: x= Vertex - p}\\.\qquad \qquad y=\dfrac{-8}{4}-\dfrac{1}{4}\\\\.\qquad \qquad x=-\dfrac{9}{4}

4 0
3 years ago
What is 1/4 divided by 9/10 rewritten with an important fraction?
lutik1710 [3]

Step-by-step explanation:

{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}

{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}

{:}\hookrightarrow\sf \dfrac {10}{36}

{:}\hookrightarrow\sf \dfrac {5}{18}

8 0
3 years ago
When driving the peregrine falcon can reach speed of up to 175 miles per hour
zepelin [54]
thank you for the information
but where is the question??????
3 0
3 years ago
A rectangle has a perimeter of 34 cm. It’s length is 5 more than twice it’s width.Write and solve a system of equations to find
Aloiza [94]

Answer:

Length = 13 cm

Step-by-step explanation:

Length (L) = 2 x Width (W) + 5

2 x (L + W) = 34

2 x (2W + 5 + W) = 34

6W + 10 = 34

6W = 34-10 = 24

W=4

L = 13

6 0
3 years ago
For the function f(x)=-3x+2, find f(2)=
dsp73

Answer: f(2) = -4

Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).

In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?

Well if we put a 2 into the function,

that's f(2) and we get -3(2) + 2 out.

Now all we have to do is simplify on the right side.

-3(2) is -6 so we have -6 + 2 which is -4.

So f(2) is -4.

8 0
3 years ago
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