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aleksandrvk [35]
3 years ago
10

4. 1 less than twice the square of a number

Mathematics
1 answer:
givi [52]3 years ago
5 0

Answer:

2(x^2)-1

Step-by-step explanation:

The square of a number is just the number squared. We don't know what the number is so I will just say it is x. So we have 2 times x^2. Then we have to minus 1 from that. So 2(x^2)-1.

Hope this helps! :D

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in klm the measure of m=90 the measure of l=68 and mk=2.5 feet. find the length of kl to the nearest tenth of a foot
frutty [35]

Answer:

2.7

Step-by-step explanation:

5 0
2 years ago
Find a third degree polynomial function of the lowest degree that has the zeros below and whose leading coefficient is one.
Tanzania [10]

Answer:

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

Step-by-step explanation:

From Fundamental Theorem of Algebra, we remember that the degree of the polynomials determine the number of roots within. Since we know three roots, then the factorized form of the polynomial function with the lowest degree is:

p(x) = (x-r_{1})\cdot (x-r_{2})\cdot (x-r_{3}) = 0 (1)

Where r_{1}, r_{2} and r_{3} are the roots of the polynomial.

If we know that r_{1} = -1, r_{2} = 0 and r_{3} = 6, then the polynomial function in factorized form is:

p(x) = (x+1)\cdot x \cdot (x-6) (2)

And by Algebra we get the standard form of the function:

p(x) = x\cdot (x+1)\cdot (x-6)

p(x) = x\cdot (x^{2}-5\cdot x -6)

p(x) = x^{3}-5\cdot x^{2}-6\cdot x (3)

The polynomial function of the lowest degree that has zeroes at -1, 0 and 6 and with a leading coefficient of one is p(x) = x^{3}-5\cdot x^{2}-6\cdot x.

6 0
2 years ago
BRAINLIEST MATH okurttttt
Zepler [3.9K]

In the given question, \sqrt{x-1}is shifted one unit to the right of \sqrt{x}

So, Option C is correct.

Step-by-step explanation:

The parent function is \sqrt{x} and transformed function is \sqrt{x-1}

So, Parent Function: \sqrt{x}

Transformed Function: \sqrt{x-1}

  • If transformed function is of type: g(x) = f(x-h), then the graph is shifted to right h units.

So, In the given question, \sqrt{x-1}is shifted one unit to the right of \sqrt{x}

So, Option C is correct.

Keywords: Transformations

Learn more about Transformations at:

  • brainly.com/question/2415963
  • brainly.com/question/3779181
  • brainly.com/question/5563823

#learnwithBrainly

4 0
3 years ago
Determine the value of each unknown angles.<br><br> HELP PLEASE DO ANY! I’ll give you brilliance
zlopas [31]

For D:

A triangle always has 180 degrees total. No more, no less. Seeing as though all the sides and angles are the same length, we can just divide 180 by 3, giving us 60. x = 60 degrees.

For E:

We can see there is a 90 degree symbol that surmises both angles. We know the lower angle is 30 degrees, so m must equal 60 degrees.

For G:

Same concept as D, except we gotta do a bit of math. A triangle always has 180 degrees, So we add 50 and 55 together and get 105. Subtract 105 from 180 and we get 75. Therefore, your angle is 75 degrees.

For H:

The 75 degree angle and m are parallel, with the same line passing through it, meaning that m is identical to the other angle. m = 75.

7 0
2 years ago
Read 2 more answers
Function f approximately represents the trajectory of an airplane in an air show, where x is the horizontal distance of the flig
UNO [17]

Answer:

C. is your answer

Step-by-step explanation:

In order to determine the line of symmetry, it would help to put this standard form parabola into vertex form, which is

y=a(x-h)^2+k,

where x = h is the equation of the line of symmetry.

To get this into vertex form we will complete the square.  The first couple of steps I will combine into 1.  We will set the quadratic equal to zero, then move the constant over to the other side:

88x^2-264x=-300

The next rule is that the leading coefficient HAS to be a positive 1.  Ours is a positive 88, so we have to factor it out:

88(x^2-3x)=300

Now we can perform the process of completing the square.  The rule is to take half the linear term, square it, and add it to both sides.  Our linear term is 3.  Half of 3 is 3/2, and 3/2 squared is 9/2.  We will add 9/2 inside the parenthesis on the left, but don't forget about that 88 sitting out front which refuses to be ignored.  It serves as a multiplier into the parenthesis.  What we actually added in, then, was 88(9/2) which is 198:

88(x^2-3x+\frac{9}{4})=-300+198

The purpose of completing the square is to give us a perfect square binomial which serves as the axis of symmetry of the parabola and also gives us the h coordinate of the vertex.  We will state that binomial and at the same time do the addition on the right:

88(x-\frac{3}{2})^2=-102

Now we can move the constant back over and set it back equal to y:

y=88(x-\frac{3}{2})^2+102

From that form you can see that the equation of the line of symmetry is x = 1.5.  The coordinates of the vertex are (1.5, 102).  If we move 1 unit to the left of the vertex, or 1 unit to the right of the vertex, we will be at the same height.

C then is your answer.

3 0
3 years ago
Read 2 more answers
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