A chalk board’s dimensions have an

tigry1 [53]

Answer:

We can represent a number in general by x . Halving a number means dividing it by two, so the expression that shows the half of a number is x2 , since you divide a number by two.

Step-by-step explanation:

3 0

3 years ago

Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.

Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x

f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

b - a

change in function value

This is equivalent to ---------------------------------------

change in x value

For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:

8

------ = 8 units (Section A)

1

Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is

224 units

----------------- = 224 units (Section B)

1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0

3 years ago

Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile

Olenka [21]

Answer:

$1\frac{9}{91}\ hours$

Step-by-step explanation:

we know that

30 and one-third miles is equal to

$30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi$

one-third of an hour is equal to

$\frac{1}{3}\ h$

Applying proportion

$\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h$

Convert to mixed number

$\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h$

8 0

4 years ago

Read 2 more answers

Which shows the correct solution to the inequality StartFraction 7 over 10 EndFraction greater-than-or-equal-to 1 and StartFract

Lena [83]

Answer:

The correct answer is p $\geq$ $\frac{74}{80}$

Step-by-step explanation:

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( ) or less than equal to ( ) signs. We solve the above given inequality to find the solutions of the unknown p. An inequality reverses if and only if we we multiply both sides with a negative quantity. Addition or subtraction does not change the sign in the inequality.

$\frac{7}{10} \geq 1 + \frac{5}{8} + p\\\\\frac{7}{10} \geq \frac{13}{8} + p\\\\\frac{7}{10} - \frac{13}{8} \geq p\\\\\frac{-74}{80} \geq p\\p \leq \frac{-74}{80} \\p\geq \frac{74}{80}$

4 0

3 years ago

Read 2 more answers

Need help with this please help

elena-14-01-66 [18.8K]

There is 24 avocados in each crate

Divide 8640 and 360 to get 24

Hope this will help you!

7 0

3 years ago