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Arturiano [62]
3 years ago
10

Which function has a vertex at the origin?

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0
\bf \qquad \textit{parabola vertex form}\\\\
\begin{array}{llll}
y=a(x-{{ h}})^2+{{ k}}\\\\
x=a(y-{{ k}})^2+{{ h}}
\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\
-------------------------------\\\\
-x^2\implies -(x-\stackrel{h}{0})^2\stackrel{k}{+0}
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Determine if the function is one-to-one. A parabola is shown facing up with a vertex of 2.5, -6
Elina [12.6K]

<u>ANSWER</u>

It is not one-to-one function

<u>EXPLANATION</u>

A one-to-one function must pass the horizontal line test.

The graph described in the question looks like the one in the attachment.

A horizontal line drawn in red cuts the graph at more than one point.


Therefore the parabola shown facing up with a vertex (2.5, -6) is not a one-to-one function.

3 0
3 years ago
Sum of two numbers is 42 and their difference is 8 . Find the numbers ?​
worty [1.4K]

Answer:

25 and 17

Step-by-step explanation:

25+17=42

25-17=8

7 0
3 years ago
Surface area of a box 12 x 6 x 9.5
Ber [7]

9514 1404 393

Answer:

  486 square units

Step-by-step explanation:

Use the surface area formula with the given numbers.

  SA = 2(LW +H(L +W))

  SA = 2(12·6 +9.5(12 +6)) = 2(72 +9.5(18)) = 486

The surface area of the box is 486 square units.

4 0
3 years ago
Match each as either linear or non-linear. HELP​
Virty [35]

Answer:

<u>Linear</u>

y=-x

y  =  \frac{x}{9}

-  \frac{2}{3}x + 3y = 1

<u>Non linear</u>

y =  \frac{4}{x}

\frac{2}{y}  = x

{x}^{2}  +  {y}^{2}  = 1

Step-by-step explanation:

Linear equations have the highest degree to be 1.

Therefore y=-x is linear.

y =  \frac{x}{9}  \: is \: also \: linear.

y =  \frac{4}{x}  \implies \: xy = 4

The degree of this equation is 2.

It is non-linear

-  \frac{2}{3}x + 3y = 1

is also linear.

\frac{2}{y}  = x \implies \: xy = 2....non - linear

{x}^{2}  +  {y}^{2}  = 1.....non - linear

7 0
3 years ago
Find the angles of 22 and 24 thanks
netineya [11]

Answer:

22) 119

24) 15

Step-by-step explanation:

22) 61 + b = 180              <-- supplementary because on the same line

      b = 119                     <-- subtracted 61 from both sides

24) 87 + (6x + 3) = 180        <-- supplementary because on the same line

     87 + 6x + 3 = 180          <-- take out parantheses

     90 + 6x = 180               <-- add like terms

     6x = 90                         <-- subtracted 90 from both sides

     x = 15                            <-- solve for x by dividing 6 from both sides

6 0
3 years ago
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