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oksian1 [2.3K]
2 years ago
8

X + 4 = x2? Assume x greater-than 0

Mathematics
1 answer:
inysia [295]2 years ago
6 0

Answer:

The  value comes out to be  

x=\frac{1}{2}+\frac{\sqrt{17}}{2}

Step-by-step explanation:

The quadratic equation is an equation containing a single variable of degree 2. Its general form is ax^{2} +bx + c=0.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²- 4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.

The equation we are given is :x+4=x^{2} \\x^{2} -x-4=0\\

We know the formula as :

x=[-b±\sqrt{b^{2}-4ac}] ×\frac{1}{2a}

x=[-(-1)±\sqrt{(-1)^{2} -4(1)(-4)}]×\frac{1}{2(1)}

x=\frac{1}{2} ±\frac{\sqrt{17} }{2} }

Since x≥0

Other negative option is neglected

x=\frac{1}{2}+\frac{\sqrt{17}}{2}

Learn more about quadratic equations - brainly.com/question/1214333

#SPJ10

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Rewrite as a simplified fraction.<br> \large{2.1\overline{6} = ?}2.1 <br> 6<br> =?
slamgirl [31]

Answer:

Note that

0.16666...is equivalent to 1/6

Step-by-step explanation:

We can use the sum of fractions to write out the decimal:

For this particular question, we can see that

0.16666...is the fraction 1/6, therefore

the given decimal

2.16666...=2+1/6=13/6

6 0
3 years ago
WILL GIVE BRAINLIEST!!
VMariaS [17]

Answer:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

Step-by-step explanation:

The given trapezoid has vertices at A(−1,4), B(0,2), C(1,2) and D(2,4).

The transformation rule for 90° counterclockwise rotation is

(x,y)\to(-y,x)

This implies that:

A(-1,4)\to A'(-4,-1)

B(0,2)\to B'(-2,0)

C(1,2)\to C'(-2,1)

D(2,4)\to D'(-4,2)

This is followed by a translation 3 units to the right.

This also has the rule: (x,y)\to (x+3,y)

A'(-4,-1)\to A''(-1,-1)

B'(-2,0)\to B''(1,0)

C'(-2,1)\to C''(1,1)

D'(-4,2)\to D''(-1,2)

Therefore:

A(-1,4)\to A''(-1,-1)

B(0,2)\to B''(1,0)

C(1,2)\to C''(1,1)

D(-2,4)\to D''(-1,2)

3 0
4 years ago
A bag contains eight marbles of equal size and weight. One marble is red, two marbles are white, and five marbles are blue. A ma
kiruha [24]
Its D 1/28 because I did the problem 


6 0
3 years ago
Read 2 more answers
A truck that is 12 ft. by 10 ft. by 15 ft. carries cube
kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

                                                  = 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

                             = 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x =  960/3.375

x = 284.44

x ≈ 284

    Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0
1 year ago
Read 2 more answers
If f(x)=x-1/3 and g(x)=3x+1, what is (f o g)(x)?
BlackZzzverrR [31]

Answer:

\[3x+\frac{2}{3}\]

Step-by-step explanation:

\[f(x)=x-\frac{1}{3}\]

\[g(x)=3x+1\]

Hence, \[(f o g)(x)=f(3x+1)\]

But, \[f(3x+1)=(3x+1)-\frac{1}{3}\]

Simplifying,

\[f(3x+1)=3x+(1-\frac{1}{3})\]

= \[f(3x+1)=3x+(\frac{3-1}{3})\]

= \[f(3x+1)=3x+(\frac{2}{3})\]

Hence, \[(f o g)(x)=3x+(\frac{2}{3})\]

8 0
3 years ago
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