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Mandarinka [93]
3 years ago
14

What is the value of x? 3x−8=(8x+4 ----- 2

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

3x-8 = 8x+4

subtract 3x from each side

-8 = 5x+4

 subtract 4 from each side

-12 = 5x

divide -12 by 5 to get x

x = -12/5 = -2.4

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Write an equation for a quadratic function in vertex form with a vertex of (3,1) that has the point
postnew [5]

Answer:

y = (x - 3)² + 1

Step-by-step explanation:

the equation of a quadratic function in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, 1 ) , then

y = a(x - 3)² + 1

to find a substitute (1, 5 ) into the equatiuon

5 = a(1 - 3)² + 1 ( subtract 1 from both sides )

4 = a(- 2)² = 4a ( divide both sides by 4 )

1 = a

then equation of quadratic function is

y = (x - 3)² + 1

7 0
2 years ago
The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
DanielleElmas [232]

Answer:

The function is decreasing for all real values of x where x < 1.5.

Step-by-step explanation:

we have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (1.5,-6.25)

we know that

The function is decreasing in the interval ----> (-∞,1.5)  x < 1.5

That means----> the function is decreasing for all real values of x less than 1.5

The function is increasing in the interval ----> (1.5,∞)  x> 1.5

That means----> the function is increasing for all real values of x greater than 1.5

see the attached figure to better understand the problem

therefore

The statement that is true is

The function is decreasing for all real values of x where x < 1.5.

5 0
4 years ago
Read 2 more answers
5. A community neighborhood wants to
Nastasia [14]

Answer:

51 trees

Step-by-step explanation:

Start at one end of the 50-foot line segment.

At position 0 ft, put one tree.

Then 1 ft from 0 ft, put tree number 2.

One more foot over, at position 2 ft from the start, put tree number 3.

Notice that each tree number is one more than the number of feet.

That means at 50 ft from the stat, you put tree number 51.

Answer: 51 trees

8 0
3 years ago
How do you work out 2/3 of 15? 4/5? of 20? 1/5 of 85? 1/8 of 96 2/5 of 65? 3/5 135? 4/5 of 200? 3/10 of 30? 3/10 of 25?
solniwko [45]

Answer:

Take your numerator times the whole number, then divide by the denominator. For example,

2x15= 30

30/3= 10

2/3 of 15 would be 10


8 0
3 years ago
PLEASE ANSWER Q TODAY!!!<br> Solve (−3) ⋅ 2
alukav5142 [94]
The answer is -6
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-3*2=-6
6 0
4 years ago
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