3. Find two rational numbers between 3 and 4 by mean method.

Evaluate the difference quotient for the given function. Simplify your answer.

hammer [34]

Answer:

-2-h

Step-by-step explanation:

It doesn't hurt to follow directions.

$q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}$

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Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.

5 0

3 years ago

What is the difference between 3/7 and 1/14

LUCKY_DIMON [66]

Hi Bamdeedaowzwbi

Lets find the LCD of both fractions which is 14

now make the denominators (bottom numbers) the same as the LCD (14)

Okay now subtract now that the denominators are the same

join the denominators together

simplify it

Answer: 5/14

*Key word in the question was difference, difference in math definition means subtraction.

8 0

3 years ago

After the z value is calculated, the ____________ is obtained from a table of z-scores.

antoniya [11.8K]

The critical value will be established. This is the point at which the researcher can reject the null hypothesis because the value falls outside the bounds at which the result was due to random chance. Values inside this bound show that the result cannot be determined to be due to the variables, so they cannot be used to reject the null hypothesis.

7 0

3 years ago

X у 30° 45° Z 20 find x y and z

Butoxors [25]

Answer:( 2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .

or

2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .

Step-by-step explanation:

4 0

3 years ago

When graphing y = 2x2 + 35x + 75, which viewing window would allow you to see all of the intercepts and the minimum as closely a

djverab [1.8K]

The intercept with the y-axes occurs when x = 0

f(0) = 2*02 + 35*0 + 75 = 0 + 0 + 75 = 75

So intercept with x axes is the point (0,75)

The intercept with the x-axes occurs when y=0

2x2 + 35x + 75 = 0

As there’s no direct way to find x, we can use the Bhaskara formula:

x=(-b+- square root (b2-4ac))/(2a)

This formula is for: ax2 +bx + c = 0

So:

a=2

b=35

c=75

x=(-35+- square root (35^2-4*2*75))/(2*2)

So x can be -2.5 or -15

So intercept with y axes are the points (-2.5,0) and (-15,0)

And there is also a formula to find the mínimum. The mínimum is always the vertex:

Xv = -b/(2*a) = -35/(2*2) = -8.75

Yv = f(Xv) = f(-8.75) = 2(-8.75)^2 + 35(-8.75) + 75 = -78.125

So the minimum is the point (-8.75, -78.125)

You can easily verify all these data with a graphic software such as GeoGebra.

Here is the complete list of all the points we need to see:

(0,75); (-2.5,0) ; (-15,0), (-8.75, -78.125)

So the mínimum X has to be -15 and the máximum X has to be 0

and the mínimum Y has to be -78.125 and the máximum Y has to be 75

So this leads to a different scale for X and for Y.

Window x = [ -15, 0] y = [ -78.125, 75]

5 0

3 years ago

3. Find two rational numbers between 3 and 4 by mean method.​

3. Find two rational numbers between 3 and 4 by mean method.