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Setler79 [48]
3 years ago
6

Please I need help. Thanks

Mathematics
1 answer:
ozzi3 years ago
5 0
Count the boxes that are dark

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Please please help me with this
swat32
N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4

ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4

Answer: Option A. First term = 16, ratio = 1/4
7 0
3 years ago
What is the distance between the points ( − 4 , 5 ) and ( 8 , 9 ) ?
anygoal [31]

Answer:

Sqrt of 160

Step-by-step explanation:

The distance, try to think it as a triangle, so you will find out that the distance equals the sqrt of(8-(-4))^2 + (9-5)^2, so it will be sqrt of(144+16) which is sqrt of 160, so the answer will be sqrt of 160

7 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
For each expression, combine like terms and write an equivalent expression with fewer terms. 4x+3x
hoa [83]

9514 1404 393

Answer:

  7x

Step-by-step explanation:

We can factor out x and simplify.

  4x +3x = x(4 +3) = 7x

6 0
3 years ago
How do you Solve 5(x+1)=3x+12?
Vitek1552 [10]
 <span>Expand
</span><span>5x+5=3x+12</span>
<span>Subtract 5 from both sides
</span><span>5x=3x+12−5</span>
<span>Simplify <span>3x+12−5</span> to <span>3x+7</span>
</span><span>5x=3x+7</span>
<span>Subtract <span>3x</span> from both sides
</span><span>5x−3x=7</span>
<span>Simplify <span>5x−3x</span> to <span>2x</span>
</span><span>2x=7</span>
<span>Divide both sides by 2
</span><span><span>x=<span>7/2</span></span></span>
5 0
3 years ago
Read 2 more answers
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