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kirill [66]
3 years ago
7

How many solutions exist for the given equation? (x + 12) = 4x – 1

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

Answer:

One solution

Step-by-step explanation:

The given equation is;

x+12=4x-1

Group similar terms;

x-4x=-1-12

Combine the similar terms to get;

-x=-13

Multiply both sides by -1 to obtain;

x=13

Therefore, there exist only one solution.

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What is the sum of the geometric sequence 1, 4, 16, ... if there are 8 terms? (6 points)
timama [110]

Answer:

21,845

Step-by-step explanation:

The sum of geometric sequence:

S n = a 1 * ( q^n - 1 ) / ( q - 1 )

where:  a 1 = 1,

q = a 2 : a 1 = 4 : 1 = 4

S 8 = 1 * ( 4^(8) - 1 ) / ( 4 - 1 ) =

= ( 65,536 - 1 ) / ( 4 - 1 ) = 65,535 / 3 = 21,845

4 0
3 years ago
Read 2 more answers
What is the slope and y-intercept of 2y-3x=7?
stich3 [128]
Y=mx+b
2y-3x=7
2y=3x+7
y=3/2x+7/2

slope(m) = 3/2

In order to find the Y intercept you have to have at least one pair of coordinates from the line and plug it into the slop intercept formula OR you can just look at y=3/2x+7/2 on a graph to see where the line crosses the y-axis with the x value of zero , unfortunately I don't have a graphing calculator and you did not provide coordinates but hopefully this helped c: !
4 0
3 years ago
The ratio of the measures of the three angles in a triangle is 14:5:11. Find the measure of all the angles
Leona [35]
Hey there,

Answer:
Angle sum in triangle = 180 °

14 : 5: 11
Total units = 30u
30 units = 180°
1 unit = 180° / 30
          = 6°
14 units = 6 x 14
              =84°
5 units = 6 x 5
            = 30°
11 units = 11 x 5
             = 55°

Hope this helps :D

<em>~Top♥</em>
4 0
3 years ago
Read 2 more answers
A museum groundskeeper is creating a semicircular statuary garden with a diameter of 29 feet. There will be a fence around the g
azamat

Answer:

The fencing will cost $330.09

Step-by-step explanation:

First we have to calculate the perimeter of the semicircle for that we use the following formula:

d = diameter = 29ft

s = semicircle

π = 3.14

s = d * 1/2 * π

we replace the values that ​​we know

s = 29ft * 1/2 * 3.14

s = 45.53ft

Now we multiply the number of feet by the price of what comes out 1 foot of fence

45.53 * $7.25 = 330.0925

Round to the nearest hundredth

$330.0925 = $330.09

4 0
3 years ago
Math please help ASAP......
solniwko [45]

i think it is 44.4 degrees or 41.1 degrees.

4 0
3 years ago
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