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3 years ago

What is the formula for axis of symitry and vertex of a porabala?

Mathematics

2 answers:

Svetradugi [14.3K]3 years ago

5 0

Axis of symmetry is x=-b/2a

& the coordinate of the vertex (-b/2a, b^2/4a)

blsea [12.9K]3 years ago

3 0

Axis of Symmetry: x = -b/2a
Vertex: y = Ax² + By + c

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Which algebraic expression is equivalent to the expression below? 25/4(5x-4/5)+29

andre [41]

Notice* No options are provided, so I will solve the expression.

Answer:

$\frac{125x+96}{4}$

Step-by-step explanation:

Step 1: Simplify $\frac{4}{5}$

Step 2: Rewriting the whole as an Equivalent Fraction

Subtracting a fraction from a whole

Rewrite the whole as a fraction using 5 as the denominator :

5x = 5x/1 = 5x * 5/5

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

dding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

5x • 5 - (4) 25x - 4

-------------- = ---------

5 5

Step 3: Simplify 25/4

Rewriting the whole as an Equivalent Fraction :

Adding a whole to a fraction

Rewrite the whole as a fraction using 4 as the denominator :

29 = 29/1 = 29 * 4/4

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

5 • (25x-4) + 29 • 4 125x + 96

--------------------------- = -----------

4 4

Final result :

125x + 96

—————————

___________

Terms and topics:

Dividing exponents
Polynomial roots
Nonlinear equations
Equations which are reducible to quadratic
Reducing fractions to lowest terms

7 0

2 years ago

Use lagrange multipliers to find the maximum volume of a rectangular box that is inscribed in a sphere of radius r

vesna_86 [32]

For the derivative tests method, assume that the sphere is centered at the origin, and consider the circular projection of the sphere onto the xy-plane. An inscribed rectangular box is uniquely determined

by the xy-coordinate of its corner in the first octant, so we can compute the z coordinate of this corner by

x2+y2+z2=r2 =⇒z= r2−(x2+y2). Then the volume of a box with this coordinate for the corner is given by

V = (2x)(2y)(2z) = 8xy r2 − (x2 + y2),

and we need only maximize this on the domain x2 + y2 ≤ r2. Notice that the volume is zero on the boundary of this domain, so we need only consider critical points contained inside the domain in order to carry this optimization out.

For the method of Lagrange multipliers, we optimize V(x,y,z) = 8xyz subject to the constraint x2 + y2 + z2 = r2.

7 0

3 years ago

A packet of crisps contains 50g. If a “new size” packets contain 15% more, how many grams of crisps are in the “new size” packet

Agata [3.3K]

To solve this, you’d multiply 50 by 1.15 to get 57.5 grams of crisps.

4 0

2 years ago

What is 1/5 +2/4?the simplest form

timama [110]

Answer:

7 /10 0.7

Step-by-step explanation:

To add fractions, find the LCD and then combine.

5 0

2 years ago

Read 2 more answers

Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minute

Westkost [7]

10:45 is when the play is done

8 0

2 years ago