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Serjik [45]
3 years ago
13

For Babysitting Niki charges a flat fee of $10 plus 15 per hour if we want to know how many hours she work if she gets paid by $

80 which equation is helpful
15x-10=85

10+15x=85

85-10x=15

85x-10=15
Mathematics
1 answer:
grandymaker [24]3 years ago
4 0
The second equation would be the most helpful
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If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
san4es73 [151]
16x – 30 - (<span>14x – 6) = 0
16x - 30 - 14x + 6 =0
2x - 24 =0
2x = 24
  x = 12</span>
3 0
3 years ago
Read 2 more answers
A mallard duck is 56 to 65 cm long if the duck travel 97.8 miles at top speed in 1.5 hours how far did it travel in 1 hour
ra1l [238]

Answer:

They traveled 2.71 in 1 hr

Step-by-step explanation:

97.8 divided by 1.5 then multiply that by 1hr

6 0
3 years ago
Select the correct answer. A linear function on a coordinate plane. A line passing through (1, 4), (minus 2, minus 2), intersect
Mumz [18]

Considering the given linear function, the inequality graphed is:

B. y \geq 2x + 2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The line intersects the y-axis at 2 units, hence the y-intercept is b = 2. The function also passes through (1,4), hence the slope is:

m = (4 - 2)/(2 - 1) = 2.

Thus the equation of the line is:

y = 2x + 2.

The left-side of the line is the values above the line, hence the inequality is:

B. y \geq 2x + 2.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

8 0
2 years ago
What is the domain of f(x) = (x + 2)2 – 1?
larisa [96]

Simplify

\\ \tt\Rrightarrow f(x)=(x+2)^2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+1

The Domain is set of all real numbers

\\ \tt\Rrightarrow Domain\in R

4 0
2 years ago
Urgent!
boyakko [2]

Step-by-step explanation:

18.

the last one.

-4.9t² + 24.5t + 117.6 = 0

the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.

19.

the general solution for a quadratic equation

y = ax² + bx + c

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = t

a = -4.9

b = 24.5

c = 117.6

t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =

= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8

t1 = (-24.5 + 53.9)/-9.8 = -3

t2 = (-24.5 - 53.9)/-9.8 = 8

a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.

20.

now the equation is

-4.9t² + 24.5t + 117.6 = 49

but this is quickly transformed again into a "= 0" equation :

-4.9t² + 24.5t + 68.6 = 0

t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =

= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =

= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8

t1 = (-24.5 + 44.1)/-9.8 = -2

t2 = (-24.5 - 44.1)/-9.8 = 7

again, negative time does not make sense.

the ball will be at 49 m height after 7 seconds.

5 0
2 years ago
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