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4 years ago

6

Square root 3x+7 + square root x+2 = 1 ...?

1 answer:

hodyreva [135]4 years ago

3 0

The answer to your question above, I will just illustrate it down.
<span>sqrt(3 x +7 ) = 1 - sqrt(x + 2 )
</span><span>square both sides:
3x + 7 = 1 -2sqrt(x = 2) + x + 2
Then it would become like this,
</span><span>2x + 4 = -2sqrt( x + 2 )
</span>Divide both sides by -2 to eliminate the -2 on the left side with sqrt.
Then <span>square both sides:
x^2 + 4x + 4 = x + 2
</span><span>x^2 + 3x + 2 = 0
</span><span>(x + 2) (x + 1) = 0
</span><span>x=-2, -1 there is no sqrt for-1
</span>so the answer is -2

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The graph of a line is ____ a line<br><br>A always<br>B sometimes

nadya68 [22]

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4 years ago

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and

Anastasy [175]

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = $\frac{-8-1}{5-2}$ = $\frac{-9}{3}$ = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

6 0

4 years ago

Read 2 more answers

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soldier1979 [14.2K]

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3 years ago

What is the next step for this construction?

mr_godi [17]

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4 years ago

alex41 [277]

Answer:

Here we can only answer A and B.

For a given function f(x), the average rate of change in a given interval [a, b] is given by:

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

A) we have g(x) = 14*x + 6, and the interval [0, 5], the average rate of change is:

$r = \frac{g(5) - g(0)}{5 - 0} = \frac{(14*5 + 6) - (14*0 + 6)}{5} = \frac{14*5}{5} = 14$

The average rate of change is 14.

B) We have g(x) = 3*(2x) - 6

we can rewrite this as:

g(x) = 3*2*x - 6 = 6x - 6

And we want to find the rate of change in the interval [0, 5]

is:

$r = \frac{g(5) - g(0)}{5 - 0} = \frac{(6*5 - 6) - (6*0 - 6)}{5} = 6$

6 0

3 years ago