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3 years ago

The equation y=5x2+6 is what kind of equation

Mathematics

1 answer:

agasfer [191]3 years ago

6 0

This is a quadratic equation because it has degree 2.
As known as a parabola

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Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

melisa1 [442]

Answer:

Vertex form: $f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

Step-by-step explanation:

For a general quadratic function the form is:

$ax ^ 2 + bx + c$

For the function

$f(x) = x ^ 2+ 7x -1$

The values of the coefficients for the function are the following: $a = 1$ , $b =7$ , $c = -1$

Take the value of b and divide it by 2. Then, the result obtained squares it.

$\frac{b}{2}= \frac{7}{2}$

$(\frac{b}{2})^2=(\frac{7}{2})^2=\frac{49}{4}$

Add and subtract $\frac{49}{4}$

$f(x) = (x ^ 2 +7x +\frac{49}{4}) -\frac{49}{4}- 1$

Write the expression of the form

$f(x) = (x+\frac{b}{2})^2 +k$

$f(x) =(x +\frac{7}{2})^2 -\frac{53}{4}$

The vertex is $(-\frac{7}{2},-\frac{53}{4})$

6 0

3 years ago

Why is the value of q?

Rudiy27

Given:

QSR is a right triangle.

QT = 10

TR = 4

To find:

The value of q.

Solution:

Hypotenuse of QSR = QT + TR

= 10 + 4

= 14

Geometric mean of similar right triangle formula:

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$$\Rightarrow \frac{14}{q} =\frac{q}{4}$

Do cross multiplication.

$$\Rightarrow14\times 4 =q\times q$

$$\Rightarrow 56 =q^2$

Switch the sides.

$$\Rightarrow q^2 =56$

Taking square root on both sides.

$\Rightarrow q =2 \sqrt{14}$

The value of q is $2 \sqrt{14}$ .

8 0

3 years ago

5x+12= -13 (find the x)

dimaraw [331]

The answer is negative 5 because you subtract 12 from each side to get 5x=-25 and -25 divided by 5 is negative 5

8 0

3 years ago

Read 2 more answers

40% of N is 80. Find N

Aliun [14]

Answer:

i think N=32

Step-by-step explanation:

5 0

2 years ago

23 times what equals 500

Anna11 [10]

Answer:

23 times 22 equals 506 but 23 times nothing can equal 500 thats what i think hope it helps in someway ig idk

Step-by-step explanation:

3 0

3 years ago