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3 years ago

= 21229 = 72112 = 18284 ⚫️ = ?

Mathematics

1 answer:

lidiya [134]3 years ago

6 0

do you mean by this

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Which choice below is a boxplot for the following distribution?

noname [10]

Answer:B

Step-by-step explanation:

APEX

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3 years ago

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The range of y = - 32x ^ 2 + 90x + 3

mariarad [96]

Given:

The given function is:

$y=-32x^2+90x+3$

To find:

The range of the given function.

Solution:

We have,

$y=-32x^2+90x+3$

It is a quadratic function because the highest power of the variable x is 2.

Here, the leading coefficient is -32 which is negative. So, the graph of the given function is a downward parabola.

If a quadratic function is $f(x)=ax^2+bx+c$ , then the vertex of the quadratic function is:

$Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)$

In the given function, $a=-32,b=90,c=3$ .

$\dfrac{-b}{2a}=\dfrac{-90}{2(-32)}$

$\dfrac{-b}{2a}=\dfrac{-90}{-64}$

$\dfrac{-b}{2a}=\dfrac{45}{32}$

The value of the given function at $x=\dfrac{45}{32}$ is:

$y=-32(\dfrac{45}{32})^2+90(\dfrac{45}{32})+3$

$y=\dfrac{2121}{32}$

The vertex of the given downward parabola is $\left(\dfrac{45}{32},\dfrac{2121}{32}\right)$ . It means the maximum value of the function is $y=\dfrac{2121}{32}$ . So,

$Range=\left\{y|y\leq \dfrac{2121}{32}\right\}$

$Range=\left(-\infty, \dfrac{2121}{32}\right ]$

Therefore, the range of the given function is $\left (-\infty, \dfrac{2121}{32}\right ]$ .

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3 years ago

13. Lu Ying works at the Wilkins Bike Shop and is paid $3.25 for every bike he

Ber [7]

Answer:

Step-by-step explanation:

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3 years ago

Factor 4m^4 - 324.

qwelly [4]

It's A. 4 (m^2+9) (m+3) (m-3)

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3 years ago

Fernanda bought a 500-milliliter container juice. She used some of the juice and has 200 milliliters left. How much orange juice

tiny-mole [99]

She used 300 milliliters of orange juice. We know this because we subtract 200mL of orange juice from 500mL of orange juice.

500mL-200mL=300mL

Therefore she used 300mL of orange juice.

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3 years ago