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madreJ [45]
3 years ago
15

Brianna's teacher asks her which of these three expressions are equivalent to each other.

Mathematics
2 answers:
jekas [21]3 years ago
7 0
Brianna's thinking is incorrect.
Expessions A, and C. are equivalent.
For C, you add 5x and x together (because they have the same variable) to get 6x - 4.
For A, you subtract 9x and 3x (because they have the same variable) to get 6x- 4.
Otrada [13]3 years ago
3 0

Brianna is correct about the situation when x=0.  But you can't say that
expressions are really equivalent unless they have the same value for <u>
EVERY</u> 'x', no matter what it is.

Expressions <em>'A'</em> and <em>'C'</em> will do that.  But Expression 'B' won't, unless x=0.


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What is 5% of $30?<br>$150<br>$35<br>$1.50<br>$25​
fomenos

Answer:

$1.50

Step-by-step explanation:

5% of 30 is 1.5 AKA 1.50

All you have to do is remove then add the dollar sign again!

Hope this helps! :)

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Vladimir79 [104]

I believe the answer would be C; but I'm not sure if this is the right category for this question?

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What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

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4 0
3 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
Nady [450]

Do you notice anything strange about those points ?

(0, 1), 
(1, 2), 
(2, 4),
(3, 8).

The y-coordinate of each point is (2) raised to the  power of the x-coordinate.

First point:       x=0,  y=2⁰ = 1
Second point: x=1,  y=2¹ = 2
Third point:      x=2,  y=2² = 4
Fourth point:    x=3,  y=2³ = 8


The equation of the curve appears to be

                               y = 2 ^ x .

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