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eduard
3 years ago
9

How many solutions exist for the given equation?

Mathematics
2 answers:
sladkih [1.3K]3 years ago
8 0

Answer:

Infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 - 2

12x + 1 = 12x + 1

Both sides are equal for all x, so infinite solutions

maks197457 [2]3 years ago
8 0

Answer:

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

12x + 1 = 12x + 3 -2

Zero solution

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18 – 12 + x = 10 What value of x makes the equation true? * explanation plz
Kay [80]

Answer:

x = 4

Step-by-step explanation:

Solve for x:

x - 12 + 18 = 10

Hint: | Group like terms in x - 12 + 18.

Grouping like terms, x - 12 + 18 = x + (18 - 12):

x + (18 - 12) = 10

Hint: | Evaluate 18 - 12.

18 - 12 = 6:

x + 6 = 10

Hint: | Isolate terms with x to the left hand side.

Subtract 6 from both sides:

x + (6 - 6) = 10 - 6

Hint: | Look for the difference of two identical terms.

6 - 6 = 0:

x = 10 - 6

Hint: | Evaluate 10 - 6.

10 - 6 = 4:

Answer: x = 4

7 0
3 years ago
Read 2 more answers
Help me with this please ;(
nadya68 [22]

Answer:

5 cubes , so 5 cubic units

Step-by-step explanation:

There are 5 cubes in this figure.

Since each cube is a cubic unit, the answer is 5 cubic units.

-Chetan K

4 0
2 years ago
Read 2 more answers
An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
loris [4]

Answer:

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

h(t) = -16t ^ 2 + v_0t + h_0

Where v_0 is the initial velocity and h_0 is the initial height.

We know that

v_0 = 192\ \frac{ft}{sec}

h_0 = 208\ ft.

Then the equation of the height is:

h(t) = -16t ^ 2 + 192t +208

For a quadratic function of the form ax ^ 2 + bx + c

where a

the maximum height of the function is at its vertex.

The vertice is

x = -\frac{b}{2a}\\\\y = f(\frac{-b}{2a})

In this case

a = -16\\b = 192\\c = 208

Then the vertice is:

t = -\frac{192}{2(-16)}\\\\t = 6\ sec

Now we calculate h (6)

h(6) = -16(6) ^ 2 +192(6) +208\\\\h(6) = 784\ feet

The maximum height is 784 feet

8 0
3 years ago
A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees. How many tick
Citrus2011 [14]

Answer:

As per the statement: A radio station had 205 tickets to a concert. They gave away 4 times as many tickets to listeners as to employees.

⇒Let number of tickets Employees have x and Number of ticket Listeners  have 4x

It is also, given that a radio station had 205 ticket to a concert.

⇒ \text{Number of ticket Employees have} +\text{Number of ticket Listeners have} = 205

Then, substitute the given values we have;

4x + x = 205

Combine like terms, we have;

5x = 205

Divide both sides by 5 we have;

x = 41

Therefore, number of tickets did they give away to employees have 41 tickets



7 0
3 years ago
What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)
nydimaria [60]
Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation  is y =2x²-3x+4



6 0
3 years ago
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