0.2(x + 1) + 0.5x = -0.3(x

Match each quadratic equation with the best way to solve it.

Blizzard [7]

Answer:

5x^2 + 12x -3 =0 ---------> solve by quadratic formula

x^2 -4x = 8 ----------> solve by completing the square

4x^2 -25 = 0 ----------> solve by square root method

x^2-5x+ 6 = 0 -----------> solve by factoring

Step-by-step explanation:

1. 5x^2 + 12x -3 =0

The best way to solve this equation is quadratic formula as all the terms in the equation have coefficients it will be convenient to solve it through quadratic formula.

2. x^2 -4x = 8

The best way to solve this equation is by completing the square as the factors cannot be made directly.

3. 4x^2 -25 = 0

the best way to solve this equation is to solve by square root method as the 25 and 4 are perfect squares.

4. x^2-5x+ 6 = 0

The best way to solve this equation is to solve by factoring as it can clearly be seen that it is convenient to make factors ..

7 0

3 years ago

A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.

KonstantinChe [14]

Answer:

0.998 is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

We have to find:

P( average money spent is within $10 of the actual population mean.)

$= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)$

Calculation the value from standard normal z table, we have,

$P(z \leq 2.94) = 0.998$

6 0

3 years ago

Gen ALL in Learning Show Summary Text to Speech (on) Previous Next > 6 Line / is shown on the coordinate grid below. y Q1 Que

galina1969 [7]

The ordered pairs of the points F, G and H are their locations on the coordinate plane

The point F is above the line 1

<h3>How to determine the coordinate point?</h3>

The ordered pairs of the points are given as:

F = (0,7)

G = (6, 2)

H = (1,6)

The line is not given; so, I will provide a general explanation.

Of all the three ordered pairs, the point with the greatest y-coordinate is the point F.

This means that the point F can be above the line 1, while the other points G and H are below the line.

See attachment for the illustration of the line and the ordered pairs

0.2(x + 1) + 0.5x = -0.3(x - 4)?