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3 years ago

SIMPLIFY THE EXPRESSION

Mathematics

1 answer:

DIA [1.3K]3 years ago

5 0

Answer:2\sqrt(5)+9\sqrt(7)

Step-by-step explanation:

2\sqrt(20)-3\sqrt(7)=4\sqrt(5)-3\sqrt(7)

4\sqrt(5)-3\sqrt(7)-2\sqrt(5)=2\sqrt(5)-3\sqrt(7)

2\sqrt(5)-3\sqrt(7)+4\sqrt(63)=2\sqrt(5)+9\sqrt(7)

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Please help! Correct answer only!

Scorpion4ik [409]

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4 years ago

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Find the average rate of change<br> f(x)=x^2−6x+8 when x2=1 and x1=3

sergeinik [125]

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

$f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3$

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

$f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3$

The formula for finding the rate of change is:

$Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}$

Putting the values, we get

$=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2$

Hence,

Average rate of change for given function is: -2

3 0

3 years ago

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7-x= 49<br> Solve the exponential equation

hjlf

Answer:

x=-42 to check ur answer place it like this 7-(-42) =49 which is correct

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3 years ago

Please help!! Which values of a and b in the exponential function y=a*b^x would result in the following graph?

Masja [62]

Answer: $a=-3, b=2$

Step-by-step explanation:

1. To solve this problem substitute the values of $a$ and $b$ into the function $y=a*b^{x}$ and prove for the value $x=0$ .

2. When $x=0$ , $b^{0}=1$ and $a*1=a$ ; this means that the graph of the function should cut in the axis $y=a$ , if this does not happen, the values of $a$ and $b$ are not the right ones.

3. Then, we conclude that the correct option is the Option A:

$y=a*b^{x}$

$y=-3*2^{0}$

$y=-3$

4. You can see that the function cut the y-axis at -3.

4 0

4 years ago

A tiny songbird called the blackpoll warbler migrates each fall from North America. A tracking study showed one bird flew from V

Alexus [3.1K]

Answer:

Step-by-step explanation:

Given the map coordinates o a bird during travel from Vermont at cordinate (63,45) toto Venezuela at map coordinates (67,10). In order to know how far the bird has travelled, we need to find the distance between the two coordinates first using the formula;

D = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Given x₁ = 63, y₁ = 45, x₂ = 67, y₂ = 10

$D =\sqrt{(67-63)^2+(10-45)^2}\\ \\D = \sqrt{4^2+(-35)^2} \\\\D = \sqrt{16+1225} \\\\D = \sqrt{1241} \\\\D = 35.2278$

If each map coordinate represents 75 kilometers, then the birds distance in km will be 75*35.2278 = 2642.087km

Hence the birds distance in km will be 2642km to the nearest kilometers

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3 years ago