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3 years ago

What's the scientific notation of 0.000028

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

2.8 x 10^-5 good luck

SashulF [63]3 years ago

6 0

Move the decimal point 4 places to the right 2.8x(10^-4)

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Y=-x^2+2x+10 y=x+2 Substitution Please show your work Need ASAP

erik [133]

Answer:

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

Step-by-step explanation:

we have

$y=-x^{2} +2x+10$ ----> equation A

$y=x+2$ ----> equation B

Solve the system by substitution

substitute equation B in equation A

$x+2=-x^{2} +2x+10$

solve for x

$-x^{2} +2x+10-x-2=0$

$-x^{2} +x+8=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2} +x+8=0$

$a=-1\\b=1\\c=8$

substitute in the formula

$x=\frac{-1\pm\sqrt{1^{2}-4(-1)(8)}} {2(-1)}$

$x=\frac{-1\pm\sqrt{33}} {-2}$

$x=\frac{-1+\sqrt{33}} {-2}$ -----> $x=\frac{1-\sqrt{33}} {2}$

$x=\frac{-1-\sqrt{33}} {-2}$ -----> $x=\frac{1+\sqrt{33}} {2}$

Find the values of y

For $x=\frac{1-\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1-\sqrt{33}} {2}+2$ ----> $y=\frac{5-\sqrt{33}} {2}$

For $x=\frac{1+\sqrt{33}} {2}$

$y=x+2$

$y=\frac{1+\sqrt{33}} {2}+2$ ----> $y=\frac{5+\sqrt{33}} {2}$

therefore

The solutions of the system of equations are the points

$(\frac{1-\sqrt{33}} {2},\frac{5-\sqrt{33}} {2})$

$(\frac{1+\sqrt{33}} {2},\frac{5+\sqrt{33}} {2})$

5 0

2 years ago

By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?

lana [24]

-20% or a 20% decrease.

3 0

3 years ago

Give the range of the relation shown below

Roman55 [17]

Answer:

Range { 3,7,11,15}

Step-by-step explanation:

The range is the output or y values

Range { 3,7,11,15}

4 0

2 years ago

You ain't even here to party

katrin2010 [14]

Answer:

nice poem.excellence ndjdkdk

7 0

2 years ago

A baseball is thrown with an upward velocity of 32 feet per second. The equation h=-16t^2+32t gives the height of the ball t sec

AnnZ [28]

Answer:

The function of height has a maximum value.

Step-by-step explanation:

Maximum or Minimum:

A given function f(x).

Find out f'(x) and f''(x)
Then set f'(x)=0 which gives x=a.
f''(a) > 0 , then at x=a , f(x) has minimum value.
If f''(a)<0 , then at x=a, f(x) has maximum value.

Given that, a baseball is thrown with with an velocity of 32 feet per second.

The equation of height is

$h=-16t^2+32t$

Differentiating with respect to t

$h'=-32 t+32$

Again differentiating with respect to t

$h''=-32$

Next, we set h'=0

$-32 t+32=0$

$\Rightarrow 32t=32$

$\Rightarrow t=1$

Now $h''|_{t=1}=-32$

Since at t=1, h''<0.

The function of height has a maximum value.

The maximum of h is = -16.(1)²+32

= -16+32

=16 feet

4 0

3 years ago