Ask question

Ask question

All categories

2 years ago

9

Explain how you know that 88 is a solution to the equation 1/8x=11

1 answer:

zhuklara [117]2 years ago

5 0

Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)

You might be interested in

How are angles 1,2,3,4 related in the trapezoid

Alex

Answer:

The degree measure of the four add up to 360 degrees. This is actually true of any quadrilateral. Let lower case letter a,b,c and d represent the angle of trapezoid ABCD. Then a+b+c+d= 360 degreees.

5 0

3 years ago

Place the three functions in order from the fastest decreasing average rate of change to the slowest decreasing average rate of

victus00 [196]

Answer:

g(x), f(x) and h(x)

Step-by-step explanation:

Given

Interval: (0,3)

See attachment for functions f(x), g(x) and h(x)

Required

Order from fastest to slowest decreasing average rate of change

The average rate of change is calculated as:

$Rate = \frac{f(b) - f(a)}{b - a}$

In this case:

$(a,b) = (0,3)$

i.e.

$a = 0\\b=3$

For f(x)

$f(x) = 16(\frac{1}{2})^x$

$Rate = \frac{f(b) - f(a)}{b - a}$

$Rate = \frac{f(3) - f(0)}{3 - 0}$

$Rate = \frac{f(3) - f(0)}{3}$

Calculate f(3) and f(0)

$f(x) = 16(\frac{1}{2})^x$

$f(3) = 16(\frac{1}{2})^3 = 16 * \frac{1}{8} = 2$

$f(0) = 16(\frac{1}{2})^0 = 16 * 1 = 16$

So:

$Rate = \frac{f(3) - f(0)}{3}$

$Rate = \frac{2 - 16}{3}$

$Rate = -\frac{14}{3}$

For g(x)

$Rate = \frac{g(b) - g(a)}{b - a}$

$Rate = \frac{g(3) - g(0)}{3 - 0}$

$Rate = \frac{g(3) - g(0)}{3}$

From the table of g(x)

$g(3) = 1$

$g(1) = 27$

So:

$Rate = \frac{1 - 27}{3}$

$Rate = -\frac{26}{3}$

For h(x)

$Rate = \frac{h(b) - h(a)}{b - a}$

$Rate = \frac{h(3) - h(0)}{3 - 0}$

$Rate = \frac{h(3) - h(0)}{3}$

From the graph of h(x)

$h(3) = -3$

$h(0) = 4$

So:

$Rate = \frac{-3 - 4}{3}$

$Rate = -\frac{7}{3}$

So, the calculated rates of change are:

$f(x) = -\frac{14}{3}$ $= -4.67$

$g(x) = -\frac{26}{3}$ $=-8.67$

$h(x) = -\frac{7}{3}$ $=-2.33$

By comparison:

From the fastest decreasing to slowest, the order is: <em>g(x), f(x) and h(x)</em>

4 0

3 years ago

Please help me on this

BabaBlast [244]

Answer:

C. 4 weeks

Step-by-step explanation:

We have the formula

$s = 16 \sqrt{7t} + 62$

We are looking for the value of t (number of weeks) when s = 150.

So, we isolate t (well, almost isolate, because it would be hard to read)

$(\frac{s - 62}{16} )^{2} = 7t$

If we replace s by 150 we get:

$7t = (\frac{150 - 62}{16} )^{2} = (\frac{88}{16} )^{2} = (5.5 )^{2} = 30.25$

We have 7t = 30.25. If we divide both sides by 7 we get the number of weeks: 4.32... so rounding it down to 4.

4 0

3 years ago

Given the figure shown at the right ABC is a triangle, what would be the measure of the unknown exterior angle (labeled x in the

Andre45 [30]

Answer:

d. 112°

Step-by-step explanation:

m<A = 64° (given)

m<ABC = 180° - 132° (linear pair)

m<ABC = 48°

According to the exterior angle theorem of a triangle, the exterior angle of a ∆ is equal to the opposite interior angles of the ∆.

48° and 64° are interior angles of ∆ABC that are opposite to the exterior angle, x.

Therefore,

x = 48 + 64

x = 112°

4 0

2 years ago

How to find the area of a triangle

polet [3.4K]

Answer:

1/2 x b x h

b = base

h = height

Hope this helps

Thank you

6 0

3 years ago

Read 2 more answers