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3 years ago

What is 12.3 -(-9.6) =12.3 + 9.6 simplified?

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

4 0

Answer:

Step-by-step explanation:

12.3 + 9.6 = 21.9

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Find the quadratic function that fits the following data. which one function fits.

Oksana_A [137]

Answer:

Step-by-step explanation:

The general rule for the quadratic function is

$y=ax^2+bx+c$

Use the data from the table:

$y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c$

We get the system of three equations:

$\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.$

Subtract these equations:

$\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.$

From the first equation

$b=-120a$

Substitute it into the second equation:

$5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5$

So,

$2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25$

The quadratic function is

$y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25$

4 0

3 years ago

Everett made 3/5 of the baskets he shot suppose he shot 60 baskets how many did he make

givi [52]

As given he made 3/5 of basket he shot.

So we can find number of basket made by Everett equal to 3/5 of total number of shot .

So if total number of shot is 60.

Then the number of basket made by Everett = $\frac{3}{5}$ of 60.
$\frac{3}{5} * 60 = \frac{3 * 60}{5} = \frac{180}{5} = 36$

So the number of basket made by Everett in 60 shots = 36.

3 0

3 years ago

Tell whether x and y show direct variation.Explain your reasoning.If so, find k #3

WINSTONCH [101]

Answer:

x and y do not show direct variation.

Step-by-step explanation:

The formula for direct variation is

y = kx Divide each side by y

k = y/x

k should have the same value for every point except, of course, (0,0)

For the first point,