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3 years ago

Six plus five times a number is less than the sum of the number and one.....

Mathematics

1 answer:

Semmy [17]3 years ago

4 0

6+5(x) < 1+(x) this is the correct form

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Solve for p. <br><br> i = prt<br><br> p = i-rt<br> p = i/(rt)<br> p = (rt)/i

Debora [2.8K]

Answer:

Step-by-step explanation:

$i=prt\to prt=i\qquad\text{divide both sides by}\ rt\neq0\\\\\dfrac{prt}{rt}=\dfrac{i}{rt}\\\\p=\dfrac{i}{rt}$

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3 years ago

What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

$f(x)=-x^2+3x+6$

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

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3 years ago

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kenny6666 [7]

Answers 3 and 4! since there is a negative power, that’s the only time the 0’s are added to the front :)

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3 years ago

What is the definition of direct control in statistics?

anyanavicka [17]

Answer:

DIRECT CONTROL. Definition. HOLDING EXTRANEOUS FACTORS CONSTANT SO THAT THEIR EFFECTS ARE NOT CONFOUNDED WITH THOSE OF THE EXPERIMENTAL CONDITIONS. Term.

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3 years ago

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satela [25.4K]

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20% of the number 40 is 8

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3 years ago

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