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Ilia_Sergeevich [38]

3 years ago

15

Please Solve: 3 (2x - 14) = -3 (-13 + x). x = __

1 answer:

Andreas93 [3]3 years ago

6 0

Answer:

x = 81/7

Step-by-step explanation:

3(2x - 14) = -3(-13 + x)

6x - 42 = 39 - x

6x + x = 39 + 42

7x = 81

x = 81 ÷ 7

x = 81/7

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Write an equation in point-slope form and slope-intercept form for each line: Passes through (3,-6) and (-1,2)

ratelena [41]

Slope intercept form is y=m(x)+b
M is the slope to find it you do the first y value minus the second y value and do the same for x
-6-2. 3+1
You then divide the subtracted y values by the subtracted x values
-8/4
M=-2
To find the b you plug in one set of the coordinates
-6=-2(3)+b
-6=-6+b
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3 0

3 years ago

Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0

vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

$x_1=-4+2i$ and $x_2=-4-2i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+8x+20=0$

so

$a=1\\b=8\\c=20$

The discriminant is equal to

$D=(b^{2}-4ac)$

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

$D=8^{2}-4(1)(20)=-16$ -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{-16}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-8(+/-)4i} {2}$

$x_1=\frac{-8(+)4i} {2}=-4+2i$

$x_2=\frac{-8(-)4i} {2}=-4-2i$

8 0

3 years ago

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myrzilka [38]

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Ray Of Light [21]

Answer: 105

Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105

Hope this helps!

8 0

3 years ago

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Is the following a fixed or a variable expense?

ollegr [7]

Answer:

A Because It's Called *Fixed*

Step-by-step explanation:

Sorry If it's Wrong

6 0

2 years ago

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