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2 years ago

Answer for both and explain B 20+ points

Mathematics

1 answer:

Alexxx [7]2 years ago

6 0

Answer:

Given function:

g(x) = x² - 6x + c

c = 2

Th x-intercept found when g(x) = 0

x² - 6x + 2 = 0

Solve the equation to find the values of x:

x² - 6x + 2 = 0
x² - 6x + 9 = 7
(x - 3)² = 7
x - 3 = ±√7
x = 3 ± √7

The x-intercepts are (3 + √7, 0) and (3 - √7, 0)

c = 10

Solve as above:

x² - 6x + 10 = 0
x² - 6x + 9 + 1 = 0
(x - 3)² = -1

The left side is a square of a number which is always positive, the right side is negative.

It means there is no solution, so no-x-intercepts.

The graph of the function lies above the x-axis.

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Please help me out!!!!!!!!!!!!

Lesechka [4]

9514 1404 393

Answer:

see below

Step-by-step explanation:

A number line usually has numbers increasing from the right. If each unit on the number line represents $100, then a gain of $500 would be represented by the point at +5 units (right of 0). The loss would be represented by a point at -5 units, located left of 0.

The points are equidistant from 0 in opposite directions.

3 0

3 years ago

Which of the following expressions has a value of 3? Select all that apply.

Tpy6a [65]

It would be (-1)(-3) :))

7 0

2 years ago

Find the equation of the line that passes through (-1,2) and is perpendicular to y=1 – 2x.

nika2105 [10]

Answer:

is the line are perpendicular then the product of there slope is -1

the slope of the first equation is 2

Step-by-step explanation:

m1+m2=-1

2+m2=-1

m2=-1-2

m2=-3

so the second equation became y=-3x+C

then insert the point (-1,2)

2=-3*-1+C

2=3+C

C=2-3

C=-1

so y=-3x-1

6 0

2 years ago

Read 2 more answers

Aline crosses the coordinates (-4,4) and (2.-5). What is the slope of the line?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

$m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}$

4 0

3 years ago

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a random

frez [133]

Answer: $H_0 : \mu=50\\\\ H_1 : \mu\neq50$

Step-by-step explanation:

An null hypothesis ( $H_0$ ) is a statement of equality which shows that there is no statistical difference between the groups being tested.

An alternative hypothesis ( $H_1$ ) is a statement of inequality which shows that there is statistical difference between the groups being tested.

Let $\mu$ be the population mean amount of garbage per bin .

Given : A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

i.e. $\mu\neq 50$ → Alternative

Thus , the appropriate null and alternative hypotheses :

$H_0 : \mu=50\\\\ H_1 : \mu\neq50$

6 0

3 years ago