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3 years ago

When 4(0.5x+2.5y-0.7-1.3y+4) is simplified, what is the resulting expression?

Mathematics

1 answer:

snow_lady [41]3 years ago

7 0

Answer:

2x + 4.8y +13.2

Step-by-step explanation:

1. (4)(0.5x+2.5y+−0.7+−1.3y+4)

2. (4)(0.5x)+(4)(2.5y)+(4)(−0.7)+(4)(−1.3y)+(4)(4)

3. 2x+10y−2.8−5.2y+16

4. 2x + 4.8y +13.2

I hope this helped, please mark Brainliest, thank you!!

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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.

dsp73

Answer:

The required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, $a_2=10,a_3=5,a_4=2.5,a_5=1.25$

$r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}$

The common ratio of GP is 1/2.

$r=\frac{a_2}{a_1}$

$\frac{1}{2}=\frac{10}{a_1}$

$a_1=20$

The first term of the sequence is 20.

The formula for sequence is

$a_n=a(r)^{n-1}$

Where a is first term and r is common difference.

The required sequence is

$a_n=20(\frac{1}{2})^{n-1}$

The formula for rate of change is

$m=\frac{f(x_2)-f(x_1)}{x_2-x_1}$

The average rate of change from n = 1 to n = 3 is

$m=\frac{f(3)-f(1)}{3-1}$

$m=\frac{5-20}{3-1}$

$m=\frac{-15}{2}=-7.5$

Therefore the required sequence is $a_n=20(\frac{1}{2})^{n-1}$ . The average rate of change from n = 1 to n = 3 is -7.5.

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MakcuM [25]

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Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use $\tan{x}=\frac{\sin{x}}{\cos{x}}$ , $\sin^2{x}+\cos^2{x}=1$ and $\sec{x}=\frac{1}{\cos{x}}$

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3 years ago

Plug in 3 for the equation y=-x^2+12x-20

notka56 [123]

Step-by-step explanation:

y=(-x^2)+12x-20

=(-(3)^2)+12(3)-20

=(-9)+36-20

=16-9=7

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