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Jobisdone [24]
2 years ago
15

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey’s mom pays Natalie $11 per hour plus a $6 tip.

The correct equation was 11x + 6 = 39. So, how many hours was the lesson?
Mathematics
1 answer:
nevsk [136]2 years ago
6 0

Answer:

3

Step by Step:

Subtract the tip ($6) from the total ($39)

11x=33

Then divide 33 by 11, leaving you with the value of x.

x=3

The lesson was 3 hours long.

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5) Is 3 a zero (or root) of f(x) = x3 - 9x2 + 11x + 21?
frozen [14]

Answer:

Yes

Step-by-step explanation:

f(x) = x³ − 9x² + 11x + 21

f(3) = (3)³ − 9(3)² + 11(3) + 21

f(3) = 27 − 81 + 33 + 21

f(3) = 0

6 0
3 years ago
The rate at which velocity changes is called A)acceleration B)speed C)direction D)displacement
PolarNik [594]
Acceleration is the answer
4 0
3 years ago
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What is b in terms of a and c?
aev [14]

Answer:

b=\sqrt{c^2-a^2}

Step-by-step explanation:

The given relation is

c=\sqrt{a^2+b^2}

To make b the subject, we square both sides of the equation to get;

c^2=(\sqrt{a^2+b^2})^2

c^2=a^2+b^2

Isolate b on one side of the equation;

c^2-a^2=b^2

Or

b^2=c^2-a^2

We take the positive square root of both sides to get;

b=\sqrt{c^2-a^2}

6 0
3 years ago
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
Sauron [17]

The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

4 0
1 year ago
25 pts
Solnce55 [7]

Answer:

490lbs.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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