3 years ago

Can someone please help me on this question.

Mathematics

1 answer:

lesya692 [45]3 years ago

4 0

Answer:

Step-by-step explanation:

$3x^{2} + 5x-12=0$

$-12=-5x-3x^{2}$

$(-12=-5x-3x^{2} ) * -1$

$\sqrt{12=5x+3x^{2}$

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If 18 is more than 2 times a number is -10, what is the number

AleksAgata [21]

Answer:

-14

Step-by-step explanation:

-10-18=-28 -28/2=-14

7 0

3 years ago

Find the function of which is the solution of 36y"-48y'-48y=0 with initial conditions y1(0)=1. y1'(0)=0

lilavasa [31]

Answer:

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

Step-by-step explanation:

Let, $D=\frac{d}{dx}$

Now, us simplify the given differential equation and write it in terms of D,

$36y''-48y'-48y=0$

or, $3y''-4y'-4y=0$

or, $(3D^2-4D-4)y=0$

We have our auxiliary equation:

$3D^2-4D-4=0$

or, $(3D+2)(D-2)=0$

or, $D=2, - \frac{2}{3}$

Therefore our solution is,

$y=Ae^{2x}+Be^{- \frac{2}{3}x}$

and, $y'=2Ae^{2x}-\frac{2}{3}Be^{\frac{2}{3}x }$

Applying the boundary conditions, we get,

$A+B=1$

$2A-\frac{2}{3}B=0$

Solving them gives us,

$A=\frac{1}{4} ,B=\frac{3}{4}$

Hence,

$y=\frac{1}{4} e^{2x}+\frac{3}{4} e^{-\frac{2}{3}x }$

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3 years ago

A grocery store sells a bag of 5 oranges for $3.10. If Ishaque spent $2.48 on oranges, how many did he buy?

frozen [14]

4 Oranges, 310 divided by 5= 64, 64 times 4=248.

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2 years ago

What is 2/3 times 1/4

barxatty [35]

(2/3)(1/4)=
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multiply the numerators by the numerators, (top numbers)
and the denominators by the denominators, (bottom numbers)

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3 years ago

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Galina-37 [17]

Answer:

A = 12 units ^2

Step-by-step explanation:

The area of the trapezoid is found by

A = 1/2 (b1+b2)h

b1 = 2

b2 = 4

h = 4

I found these by looking at the graph

A = 1/2(2+4) 4

A = 1/2(6*4)

A = 12 units ^2

8 0

3 years ago