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grandymaker [24]
3 years ago
11

Solve the equation. –x + 8 + 3x = x – 6

Mathematics
2 answers:
butalik [34]3 years ago
8 0
The answer is :
X=-14

-x + 8 + 3x = x-6
+x +x

8+3x=2x-6
-2x -2x

8+x=-6
-8. -8

X=-14
Westkost [7]3 years ago
6 0

Answer: x=-14

Step-by-step explanation: -x+8+3x=x-6

                                                 2x+8=x-6

                                                  2x=x-14

                                                    x=-14

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A line intersects the points (6, -12) and (15, -3). What is the slope intercept equation for this line?
Korolek [52]
Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:

-12 = 1(6) - c
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-18 = -c
c = 18

Thus the equation for the line is y = 1x - 18
8 0
3 years ago
Fencing a horse corral carol has 2400 ft of fencing to fence in a rectangular horse corral. (a) find a function that models the
Vanyuwa [196]

Here it is given that the width is x ft and total length of the fence is 2400 ft .

Let the length be y ft

So we have

2(x+y) =2400
\\
x+y=1200
\\
y = 1200 -x

Let A represents area, and area is the product of length and width .

So we get

A = x y

Substituting the value of y, we will get

A = x (1200-x)= 1200x -x^2

Second part

The area is maximum at the vertex, and vertex is

x = - \frac{1200}{2(-1)} = 600 feet

And

y=1200-x = 1200-600 = 600 feet

And that's the required dimensions .

8 0
2 years ago
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa
tatuchka [14]

Answer:

Second puck travels farther

Step-by-step explanation:

Maximum height of first puck = 3 feet

The height of a second hockey puck is modeled by:

y=x\left(0.15-0.001x\right)

y=0.15x-0.001x^2

To find maximum height of second puck

y'=0.15-0.002x

Equate the derivative equals to 0

0.15-0.002x=0

\frac{0.15}{0.002}=x

75 = x

At x = 75

y=0.15(75)-0.001(75)^2=5.625

So, The maximum height of second puck is greater than  first puck

So, Second puck travels farther

5 0
3 years ago
941 rounded to the nearest 10
Oksana_A [137]

Answer:

900

Step-by-step explanation:

you just see if by the number, if the number is 6 and up your round over and it would become 950 but the number is lower so you make it 900.

3 0
2 years ago
What the answer is and how?
sladkih [1.3K]

Answer:

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

Step-by-step explanation:

The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.

Perimeter= 2pi*R= pi*Diameter.

Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.

PerimeterFigure= pi*DIameter/2= 1.5*pi ft.

3 0
2 years ago
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