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Travka [436]
3 years ago
13

How would figure out if a equation has one answer,zero answers,or infinite. Like a equation like 3(x+9)=3x+27

Mathematics
1 answer:
ss7ja [257]3 years ago
3 0
This has infinite solutions because when you multiply 3 by the values in the parentheses they will equal.
3(x+9)=3x+27
3x+27=3x+27
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-10 +log3 (n+3)= -10
Rufina [12.5K]

Answer:

n= -3 or in exact form: N= - log27/log3

Step-by-step explanation:

8 0
4 years ago
Select the correct answer.
Ierofanga [76]

Answer:

19.2x+96 units

Step-by-step explanation:

The perimeter of a square is 4 times the length of one side.

The length of the sides of a square is given by the expression 4.8x+24

To find the perimeter, we multiply this expression by 4.

Perimeter=4(4.8x+24)

We expand to obtain:

Perimeter=4*4.8x+4*24

This simplifies to:

Perimeter=19.2x+96

7 0
3 years ago
For the polynomial below, find F(-3)<br><br> F(-3)= -4x^2+3x-1
Elodia [21]
f(-3)=-4\cdot(-3)^2+3\cdot(-3)-1=-4\cdot9-9-1=-36-10=-46
4 0
3 years ago
HELP!!
leonid [27]

Answer:

The focus point is (2 , 0) ⇒ answer D

Step-by-step explanation:

* Lets revise the equation of the parabola in standard form

- The standard form is (x - h)² = 4p(y - k)

- The focus is (h, k + p)

- The directrix is y = k - p

- If the parabola is rotated so that its vertex is (h , k) and its axis of

 symmetry is parallel to the x-axis, it has an equation of

 (y - k)² = 4p(x - h)

- The focus is (h + p, k)

- The directrix is x = h - p

* Lets solve the problem

∵ The equation of the parabola is y = 1/8(x² - 4x - 12)

- Lets make x² - 4x completing square

∵ √x² = x  

∴ The 1st term in the bracket is x

∵ 4x ÷ 2 = 2x

∴ The product of the 1st term and the 2nd term is 2x

∵ The 1st term is x

∴ the second term = 2x ÷ x = 2

∴ The bracket is (x - 2)²

∵  (x - 2)² = (x² - 4x + 4)

∴ To complete the square add 4 to the bracket and subtract 4 out  

  the bracket to keep the equation as it

∴ (x² - 4x + 4) - 4 = (x - 2)² - 4

- Lets put the equation after making the completing square

∴ y = 1/8 [(x - 2)² - 4 - 12]

∴ y = 1/8 [(x - 2)² - 16] ⇒ multiply both sides by 8

∴ 8y = (x - 2)² - 16 ⇒ add 16 to both sides

∴ 8y + 16 = (x - 2)² ⇒ take from the left side 8 as a common factor

∴ 8(y + 2) = (x - 2)²

∴ The standard form of the equation of the parabola is

   (x - 2)² = 8(y + 2)

∵ The standard form of the equation is (x - h)² = 4p(y - k)

∴ h = 2 , k = -2 , 4p = 8

∵ The focus is (h , k + p)

∵ h = 2

∵ 4p = 8 ⇒ divide both sides by 4

∴ p = 2

∴ The focus = (2 , -2 + 2) = (2 , 0)

* The focus point is (2 , 0)

6 0
3 years ago
Solve. 2 (x - 1/2) = 3 (5 - 2x) show the steps in your solution.
viktelen [127]

Question 1.). Solve:

2 (x - 1 / 2) = 3 (5 - 2x)

Simplify both sides of equation:

2( x - 1 / 2 ) = 3(5 - 2x )

(2) (x) + (2) ( -1 / 2 ) = (3) (5) + (3) ( -2x )


Distribute:

2x + - 1 = 15 + -6x

2x - 1 = -6x + 15


Add 6x to both sides:

2x - 1 + 6x = -6x + 15 + 6x

8x - 1 = 15


Add 1 to both sides:

8x - 1 + 1 = 15 + 1

8x = 16


Divide both sides by 8:

8x / 8 = 16 / 8

Answer: 2 (x - 1 / 2) = 3 (5 - 2x) ==========> x = 2











Question 2.).

M =======> Amount Malik need

Solution: =========> m ≥ 5

Inequality ========> 8 + 7 + 10 + m ≥ 30

25 + m ≥ 30

Interpretation ==========> Malik needs at least, $5 .00 to get to, $30.00 or more.

Is the solution reasonable ===========> YES





Hope that helps!!!!! : )



4 0
3 years ago
Read 2 more answers
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