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3 years ago

If g(x) = 3x + 1, evaluate g(-2).

Mathematics

1 answer:

zloy xaker [14]3 years ago

4 0

G(x) = 3x + 1, evaluate g(-2).

Simply plug in (- 3) in g(x)

g(-2) = 3(-2) + 1

g(-2) = - 6 +1

g(-2) = - 5

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An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 6.34 cents per

kirill [66]

Answer:

y = 18.38 + 0.0634x

Step-by-step explanation:

Given,

Monthly base charge = $18.38,

Also, the cost of each kilowatt-hours = 6.34 cents = $ 0.0634

( 1 cents = 0.01 dollars ),

So, the cost of x kilowatt-hours = 0.0634x,

If y represents the total monthly charge ( in dollars ) for x kilowatt-hours,

Thus, the total monthly charge for x kilowatt-hours = base charge + cost of x kilowatt-hours,

⇒ y = 18.38 + 0.0634x

Which is the required equation.

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3 years ago

Prove that if one solution for a quadratic equation of the form x 2 + bx + c = 0 is rational (where b and c are rational), then

erica [24]

$x^2+bx+c = (x-r)(x-s)\\
x^2+bx+c = x^2-(r+s)x+rs\\\\
b = -(r+s)\\ c = rs$

Say r is rational. Suppose for a second, that s is not. Then, r+s is irrational. But this contradicts the fact that b is rational.

So, if one root is rational, then the other root is also rational

7 0

3 years ago

H(x) = 17 + x/6 h(-18) = ___<br> x/6 is a fraction <br> please helpp

gayaneshka [121]

Simply plug in the value for x.

If x is equal to -18, then plug in -18 for x.

Example:

f(x) = 15 + x/5.
f(5) = 15 + 5/5.

Then solve the equation.

A function is just something that receives some value and then barfs a value out. This is an IO relationship. (Input/Output).

6 0

2 years ago

Approximately how many more job openings are expected for security guards than pharmacy technicians?

Illusion [34]

Answer: c. 21,000

Step-by-step explanation:

Since, by the given diagram,

The approximate number of security guard job opening = 39,000

And, the approximate number of pharmacy technicians job opening = 18,000

Hence, the difference of the number of security guard job opening and the number of pharmacy technicians job opening = 39,000 - 18,000 = 21,000

Thus, the job openings for security guards is approximately 21000 greater than that of pharmacy technicians.

⇒ Option C is correct.

8 0

3 years ago

Question 11 (Multiple Choice Worth 1 points

Diano4ka-milaya [45]

Answer:

$3\frac{4}{33}=3.\bar1\bar2$

Step-by-step explanation:

Given:

Simplify The given choice.

$3\frac{4}{33}=\frac{33\times 3 +4}{33}=\frac{99+4}{33}=\frac{103}{33}=3.1212121=3.\bar1\bar2$

$3\frac{8}{33}=\frac{33\times 3 +8}{33}=\frac{99+8}{33}=\frac{107}{33}=3.242424=3.\bar2\bar4$

$3\frac{10}{39}=\frac{39\times 3 +10}{39}=\frac{117+10}{39}=\frac{127}{39}=3.2564$

$3\frac{5}{39}=\frac{39\times 3 +5}{39}=\frac{117+5}{39}=\frac{122}{39}=3.12820$

Therefore, the first option $3\frac{4}{33}$ is correct.

4 0

3 years ago