Write the equation 0.3x^2+5x-7=0 in standard form and then choose the value of “b”

Mathematics

1 answer:

kotegsom [21]2 years ago

6 0

Answer:

b = 5

Step-by-step explanation:

The given equation is :

$0.3x^2+5x-7=0$ .......(1)

It is in the form of quadratic equation. The general form of a quadratic equation is as follows :

$ax^2+bx+c=0$ .....(2)

Comparing equations (1) and (2), we get :

a = 0.3, b = 5 and c = -7

Hence, the value of b is equal to 5.

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Given a quadratic function in vertex form:

Alja [10]

Answer:

See below

Step-by-step explanation:

Part A

A vertical stretch takes place when $a\cdot f(x)$ given that $|a| > 1$

Part B

A vertical compression takes place when $a\cdot f(x)$ given that $0 < |a| < 1$

Part C

A vertical stretch is different than a horizontal compression:

In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor

Part D

A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of $a$ must be negative such that $a\cdot f(x)$ as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.