Harry rides his bike 25 3 over 8<br> karen rides her bike 25 3 over 8<br> Who rode further

Rachel is a lunchroom supervisor at West School. The children eat lunch at 15 long tables. When all tables are used, 240 childre

Diano4ka-milaya [45]

240÷15=16 seats at each table

Since there were 15 tables and 240 in total you have to divide to find the number of seats at a table

6 0

3 years ago

Read 2 more answers

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

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Find -48a divided by 8 when a=1 write your answer in simplest form

lukranit [14]

-48a÷ 8 can be written as,

$\frac{-48a}{8}$

Put a=1 in the above exprression and solve.

$\frac{-48\times1}{8}=-6$

Therefore, the solution is -6.

8 0

9 months ago

Asher has 2x + 3 dollars He gives x + 2 dollars to his frend, Annie Wnte an expression for how much money Asher has left

tangare [24]

Answer:

Step-by-step explanation:

Money= x+1

8 0

2 years ago

Whats the easiest way to do long division

Anastaziya [24]

Answer:

Set up the equation. On a piece of paper, write the number being divided on the right, under the division symbol, and the number doing the division to the left on the outside. ...

Divide the first digit. ...

Divide the first two digits. ...

Enter the first digit of the quotient.

hope this helps :)

6 0

3 years ago

Harry rides his bike 25 3 over 8 karen rides her bike 25 3 over 8 Who rode further