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3 years ago

Please Help! I will give you a lot of points! (6.3)

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.

We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.

We combine like terms to get 3x-20000=211000.

We add 20000 to both sides to get 3x=231000.

We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.

Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.

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What is the inverse function of y=x^2-7

Vikentia [17]

With inverse functions you just swap 'x' and 'y' and solve for 'y'.

$\sf y=x^2-7$

Swap 'x' and 'y':

$\sf x=y^2-7$

Add 7 to both sides:

$\sf x+7=y^2$

Take the square root of both sides:

$\sf y=\boxed{\sf\pm\sqrt{x+7}}$

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3 years ago

A quadratic equation is shown below:

AfilCa [17]

the solutions to a general quadratic equation is

X=-b±√b²-4ac/2a ,, When ax²+bx+c=0

the discriminant is the expression under the radical b²−4ac

Part A:

discriminant is (-16)² - 4(9)(60) = -1904

there are two complex solutions

Part B:

4x² + 8x − 5 = 0

4x² + 10x -2x - 5=0

2x ( 2x + 5) - 1(2 x + 5) =0

(2x + 5)(2x-1) = 0

/ \

2x+5 = 0 2x-1 =0

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5 0

3 years ago

what equation in slope intercept form for the line that passes through point (8,-3) and has a y intercept of -2

JulijaS [17]

Answer:

y=-8x-2

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1. Take coordinate (0,-2), which is the y-intercept. We'll call that (y2,x2). Coordinate (8,-3) is (y1,x1). Put that into the formula you get, 0-8/-2-(-3). You get -8/1 which is negative 8. We now have the slope. Slope intercept form equation is y=mx+b. M is slope, so we put our slope in the equation and get, y=-8x+b. B is the y-intercept which is given. So we know that the equation to this line in slope-intercept form is y=-8x-2.

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4 years ago

What is 8. 05 × 10-5 in standard notation? 0. 0000805 0. 00000805 805,000 8,050,000.

krok68 [10]

It’s 0.0000805 (hope this helps!)

4 0

2 years ago

This graph shows the number of laps that jan runs as her coach timing her. What is the slope of the line and what does it mean t

ki77a [65]

First of all there isn't any graphs shown in here but i will try to show u how to work it out according to the given data.

<span> $Slope= \frac{y2-y1}{x2-x1}$
where (x1,y1) and (x2,y2) are two points by which the line passes through.

so;
</span><span> $Slope= \frac{4-10}{2-5}$
</span> $Slope = \frac{-6}{-3}$
Slope=3

5 0

3 years ago