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3 years ago

7

Ms. Romero asks the student to genefractionrate an equivalent fraction. for 6/10.Gwen says 3/5 is an equivalent fraction while d

aniel says 60/100 is an equivalent . who is correct and why?

1 answer:

Phoenix [80]3 years ago

7 0

Gwen is right 3\5 is equivalent to 6\10
if you divide 6\10 by 2 you will get 3\5

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Simplify<br> (x – 3) (232 – 4x – 7)

11111nata11111 [884]

Answer:

-4x^2 + 237x - 675

Step-by-step explanation:

(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial

232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify

-4x^2 + 237x - 675

3 0

3 years ago

Read 2 more answers

Evaluate 4a + 7b + 3a − 2b for a = 5 and b = −3.

blsea [12.9K]

Answer:

<h2>20</h2>

Step-by-step explanation:

$4a+7b+3a-2b\qquad\text{combine like terms}\\\\=(4a+3a)+(7b-2b)\\\\=7a+5b\qquad\text{put a = 5 and b = -3 to the expression}\\\\7(5)+5(-3)=35-15=20$

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3 years ago

(b) dy/dx = (x - y+ 1)^2

Elanso [62]

Substitute $v(x)=x-y(x)+1$ , so that

$\dfrac{\mathrm dv}{\mathrm dx}=1-\dfrac{\mathrm dy}{\mathrm dx}$

Then the resulting ODE in $v(x)$ is separable, with

$1-\dfrac{\mathrm dv}{\mathrm dx}=v^2\implies\dfrac{\mathrm dv}{1-v^2}=\mathrm dx$

On the left, we can split into partial fractions:

$\dfrac12\left(\dfrac1{1-v}+\dfrac1{1+v}\right)\mathrm dv=\mathrm dx$

Integrating both sides gives

$\dfrac{\ln|1-v|+\ln|1+v|}2=x+C$

$\dfrac12\ln|1-v^2|=x+C$

$1-v^2=e^{2x+C}$

$v=\pm\sqrt{1-Ce^{2x}}$

Now solve for $y(x)$ :

$x-y+1=\pm\sqrt{1-Ce^{2x}}$

$\boxed{y=x+1\pm\sqrt{1-Ce^{2x}}}$

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3 years ago

What is the slope of the line y= 1

Harrizon [31]

Answer:

The slope of y = 1 is 0

explanation:

Determining slope has been based on a simple formula, y2-y1 over x2-x1.

It is crucial to follow this formula in order to attain the proper slope.

When a simple expression is given, for instance; y = 1 then it could be divided by 0; thus, resulting in the answer simply being zero.

However, x=1 would contain the slope of undefined because any number divided by zero results in an undefined answer.

8 0

3 years ago

Please answer within 7 minutes !!

Gnesinka [82]

Step-by-step explanation:

x = by - 3/2

x + 3/2 = by

y = x/b + 3/(2b)

now compare this to the first equation :

y = 2x + 3

the system has infinite solutions, if both equations are actually identical.

and they are only identical, if b = 1/2

y = x/(1/2) + 3/(2 × 1/2) = 2x + 3

3 0

2 years ago