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cupoosta [38]
2 years ago
11

Find the probability of rolling factors of 4.​

Mathematics
1 answer:
mylen [45]2 years ago
8 0

The probability of rolling factors of 4 are 4/1 or 2/1

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What is the answer using the majic method of factoring?
NeX [460]
2x² - 15x + 7
(2x - 1)(2x-14)

(2x - 1)(x - 7) x= 1/2 or 7
7 0
3 years ago
What property is (a•3)x b = b x(a•3) Using algebraic Expressions
Archy [21]

Answer:  Commutative Property of Multiplication

<u>Step-by-step explanation:</u>

Commutative property is when two terms trade places.

(a · 3) × b = b × (a · 3)

Notice that (a · 3) switched places with b

8 0
3 years ago
(5/10) find an implicit expression of all solutions y of the differential equation above, in the form \psi(t,y) = c, where c col
Thepotemich [5.8K]

solution:

Consider the differential equation,

7ty + (1+t2)1/2y1 = 0

Rewrite the DE as,

(1+t2)1/2dy = - 7ty

dy/y = -7t/√1+t2 dt

in y = -7(1+t2) + c

y = ce-7(1+t2)

given,

y(0) = 1 => ce-7 = -1 => c = e7

ᴪ (t,y) = y -ce ᴪ(0,1)(1+t2)


8 0
2 years ago
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 ].

8 0
3 years ago
Rual saved $80 for his new bike. This represents 40% of the entire cost of the bike. what is the total cost of Raul's new bike?
Anna71 [15]

Answer:

The total cost of Raul's 32%

6 0
3 years ago
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