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3 years ago

PLZ HELP!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

4 0

Answer:

Step-by-step explanation:

The answer is C

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The transformation of a base function,f (x) by the multiplication of a constant k where 0 <k <1

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2 years ago

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Describe how (2 cubed) (2 superscript negative 4) can be simplified.

irina [24]

Answer:

1/2

Step-by-step explanation:

Given:

(2 cubed) (2 superscript negative 4)

= (2³)(2^-4)

= (2³) (1 / 2⁴)

= (2³ * 1) / 2⁴

= 2³ / 2⁴

Both numerator and denominator has the same base. Thus, pick one of the bases

Also, in indices, division sign can be translated to subtraction

Therefore,

2³ / 2⁴

= 2^3-4

= 2^-1

= 1/2¹

= 1/2

(2³)(2^-4) = 1/2

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3 years ago

What is the average rate of change of the function over the interval x = 0 to x = 8?<br>

serious [3.7K]

Answer:

The average rate of change is:

$\frac{13}{161}$

Step-by-step explanation:

The rational function given to us is;

$f(x)=\frac{3x+4}{2x+7}$

$f(0)=\frac{3(0)+4}{2(0)+7}$

$f(0)=\frac{4}{7}$

$f(8)=\frac{3(8)+4}{2(8)+7}$

$f(0)=\frac{28}{23}=1$

The average rate of change of this function from x=0 to x=8 is the slope of the secant line connecting:

(0,f(0)) and (8,f(8))

Average rate of change = $=\frac{f(8)-f(0)}{8-0}$

$=\frac{\frac{28}{23}-\frac{4}{7} }{8}$

$=\frac{13}{161}$

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3 years ago

Jake is solving x^2-6x+5=0 by completing the square his steps are shown below step 1. x^2-6x=-5 step 2. x^-6x+9=-5+9 step 3. (x-

damaskus [11]

Answer:

Jake's error in step 3

Step-by-step explanation:

we have

$x^{2} -6x+5=0$

Complete the square

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} -6x=-5$

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -6x+9=-5+9$

$x^{2} -6x+9=4$

step 3

Rewrite as perfect squares

$(x-3)^{2}=4$

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

$\sqrt{(x-3)^2} =\sqrt{4}$

step 5

$(x-3)=\pm2$

step 6

$x=3\pm2$

step 7

x=5 and x=1

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3 years ago

17 more than some number is 57

anastassius [24]

17+x=57.
So, subtract 17 from both sides
X=40

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