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Harrizon [31]
3 years ago
7

A full container of juice holds 64 fluid

Mathematics
1 answer:
ELEN [110]3 years ago
7 0
There is 9 7-fluid ounce servings of juice
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What does it mean to say a data point has a residual of 0
slava [35]
The point lies directly on the regression line.
3 0
4 years ago
Derive the equation of the parabola with a focus at (3,1) and a directrix of y = 5
serg [7]
So hmmm  check the picture below

so... the vertex is "p" distance from the focus and the directrix, thus, the vertex is really half-way between both

in this case, 2 units up from the focus or 2 units down from the directrix, and thus it lands at 3,3

now, the "p" distance is 2, however, the directrix is up, the focus point is below it, the parabola opens towards the focus point, thus, the parabola is opening downwards, and the squared variable is the "x"

because the parabola opens downwards, "p" is negative, and thus, -2

now, let's plug all those fellows in then

\bf \begin{array}{llll}
(x-{{ h}})^2=4{{ p}}(y-{{ k}})\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\

\begin{cases}
h=3\\
k=3\\
p=-2
\end{cases}\implies (x-3)^2=4(-2)(y-3)\implies (x-3)^2=-8(y-3)
\\\\\\
-\cfrac{(x-3)^2}{8}=y-3\implies \boxed{-\cfrac{1}{8}(x-3)^2+3=y}

5 0
4 years ago
What is negative 8 over 12?
Sedaia [141]
That would be \frac{-8}{12}, but it is also equal to just -\frac{8}{12}. You would simplify the \frac{8}{12} part, and you would get \frac{2}{3}, or if you need a decimal, 0.6666...
But don't forget the negative part, so the answer would be -\frac{2}{3} or -0.6666...
7 0
3 years ago
Read 2 more answers
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees and totaled $411
saw5 [17]

Answer:

Cost of 1 bushes = a = $9

Cost of 1 tree = b = $73.5

Step-by-step explanation:

Given:

13 bushes and 4 trees cost = $411

Missing;

6 bushes and 2 trees cost = $201

Find:

Value of bushes and tree

Computation:

Cost of 1 bushes = a

Cost of 1 tree = b

So,

13a + 4b = 411 ...........eq1

6a + 2b = 201 ................eq2

From Eq1 and Eq2

Cost of 1 bushes = a = $9

From eq 1

13a + 4b = 411

13(9) + 4b = 411

Cost of 1 tree = b = $73.5

5 0
3 years ago
Which of the following represents the factorization of the trinomial below?
Sphinxa [80]

Answer:

-2(x + 1)(x + 6)  

Step-by-step explanation:

Please use " ^ " to denote exponentiation:  -2x^3-14x^2 - 12x

Note that all three terms are evenly divisible by -2x, leaving the quotient x^2 + 7x + 6.  

This quotient is also easily factored:

-2x^3-14x^2 - 12x = -2(x^2 + 7x + 6)  =  -2(x + 1)(x + 6)  

7 0
3 years ago
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