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3 years ago

Given: F(x) = x + 2 and G(x) = 3x + 5 (F - G) (x) = 1) 4 2) -3x - 3 3) -2x - 3

1 answer:

4 0

This equation is telling you to subtract the value of f(x) from the value of g(x).

f(x)= x + 2
g(x) = 3x + 5

so x + 2 - 3x -5 = -2x-3

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A square has an area of 576 square inches. How long is each side in feet?

Leto [7]

Area = Length x Width
A square has even sides so
576 = x^2
so find the square root of 576 and you have your answer

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3 years ago

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What is 6x to the third power?

murzikaleks [220]

Answer:

216x

Step-by-step explanation:

Write it out: $6x^{3}$
$6^{3} = 216$
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I hope this helps!

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2 years ago

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Which of the following has a constant of proportionality of 2?

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Linear fonction's equation : y = ax

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2 years ago

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which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

elena55 [62]

Step-by-step explanation:

$\frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1$

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

${c}^{2} = {a}^{2} - {b}^{2}$

Here a^2 is 9, b^2 is 4.

${c}^{2} = 9 - 4$

${c}^{2} = 5$

$c = \sqrt{5}$

So our foci is

$(2, - 5 + \sqrt{5} )$

and

$(2, - 5 - \sqrt{5} )$

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1 year ago

A data set consists of the following data points:

aleksley [76]

(3,5),
(5,8),
(6,13)
------
(14,26)/3

then use the point slope form of a line to find equation of line

 $y-y_1=m(x-x_1)
\\y - \frac{26}{3} = 2.5(x- \frac{14}{3})
\\y - \frac{26}{3} = \frac{5}{2} (x- \frac{14}{3})
\\y - \frac{26}{3} = \frac{5}{2} x- \frac{5}{2}\times\frac{14}{3}
\\y - \frac{26}{3} = \frac{5}{2} x- \frac{35}{3}
\\6y-52=15x-70
\\15x-6y-18=0$

Find y-intercept for x = 0.

 $15x-6y-18=0
\\15\times0-6y-18=0
\\-6y=18
\\y=-3$

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3 years ago