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harina [27]
3 years ago
6

How to chose a reasonable scale and interval to graph each set of data with these numbers - 70, 35, 55, 10, 43, 25, 80 and three

numbers, 4,700; 2,000; 3,400; 1,650; 2,800
Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Answer:

For 70, 35, 55, 10, 43, 25, 80

Scale

I small square= 1 unit

For 4,700; 2,000; 3,400; 1,650; 2,800

I small square=100 unit

Step-by-step explanation:

We choose a scale such that all the points can be plotted on the graph.

For 70, 35, 55, 10, 43, 25, 80

the range of data is from 10 to 80

so if we choose I small square= 1 unit, we will be able to plot all the points on the graph.

For 4,700; 2,000; 3,400; 1,650; 2,800

the range of data is from 1600 to 4700

If we choose I small square=100 unit, we will be able to plot all the points on the graph with 1650 plotted in the middle of a small square.

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8 0
3 years ago
Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?
telo118 [61]

Answer:

The correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot

Step-by-step explanation:

the given equation is 5y + 4 =(x+3)^{2}  + \frac{1}{2}

Therefore we can write 5y\hspace{0.1cm} = (x+3)^{2} + \frac{1}{2} - 4  \hspace{0.3cm}   \Rightarrow  \hspace{0.2cm}  5y = (x+3)^{2} - \frac{7}{2}   \hspace{0.3cm} \Rightarrow \hspace{0.3cm}  y = \frac{(x+3)^{2}}{5} - \frac{7}{10}

To find the inverse of the above function let us replace x with y and y with x.

Therefore we get

x = \frac{(y+3)^{2}}{5} - \frac{7}{10}

Now we write the above equation with only y on the Left hand side and we will obtain the inverse of the given function

y = \pm \sqrt{5 (x + \frac{7}{10} )} \hspace{0.1cm} - \hspace{0.1cm} 3 \hspace{0.1cm} \Rightarrow\hspace{0.1cm}  y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

Therefore the correct option is the last option d.) y = negative 3 plus-or-minus StartRoot 5 x + seven-halves EndRoot , y =  \pm \sqrt{5x + \frac{7}{2} }  - \hspace{0.1cm} 3 \hspace{0.1cm}

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3 years ago
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<span>1/4(x + 16) - x =

First, distribute the 1/4.

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= 1/4x - 4/4x + 4

= -3/4x + 4

= -\dfrac{3}{4}x + 4</span>
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3 years ago
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