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Montano1993 [528]
3 years ago
9

Which of the following is the solution of One-fourth x + 5 = 7? x = 2 x = 6 x = 8 x = 12

Mathematics
1 answer:
salantis [7]3 years ago
5 0
Changes made to your input should not affect the solution:

(1): "x1" was replaced by "x^1". 3 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

57x28 + x = x • (57x27 + 1)

Trying to factor as a Sum of Cubes :

3.2 Factoring: 57x27 + 1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3

Check : 57 is not a cube !!


Final result :

x • (57x27 + 1)

Processing ends successfully
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An oblique cylinder has a radius of 10 units and slant length of 26 units. What is the volume of the cylinder
marysya [2.9K]
The formula of the volume of an oblique cylinder is V = \pir²h where \pi is 3.14, r is the radius of the circular base of the cylinder and h is the height of the cylinder. You are given a slant length and radius of 26 and 10 units. You can get the height by using pythagorean theorem c²=a²+b².

c²=a²+b²
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6 0
3 years ago
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A personal pizza is $7.00 plus $0.50 per topping. Is this proportional?
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8 0
3 years ago
Consider f(x) = 1.8x – 10 and g(x) = −4.
Pavlova-9 [17]

Answer:

Part 1) The equation that can be used is 1.8x-10=-4

Part 2) The input or x-value is x=10/3

Step-by-step explanation:

we have

f(x)=1.8x-10

g(x)=-4

To find the solution of the system of equations equate f(x) and g(x)

f(x)=g(x)

substitute

1.8x-10=-4 -----> equation that can be used  to find the input value at which    f (x ) = g (x )

Solve for x

Adds 10 both sides

1.8x=-4+10

1.8x=6

Divide by 1.8 both sides

x=6/1.8

Remember that

1.8=18/10

substitute

x=6/(18/10)

x=60/18

Simplify

x=10/3

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3 years ago
Gia wants to go skating and needs to figure out which place offers a better deal. Roller haven charges a one-time rental free of
CaHeK987 [17]
The system of equations would be:

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