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lisov135 [29]
3 years ago
10

Ian is working two summer jobs, making $22 per hour tutoring and making $8 per hour landscaping. In a given week, he can work a

maximum of 11 total hours and must earn at least $120. Also, he must work at most 8 hours tutoring and at most 3 hours landscaping. If xx represents the number of hours tutoring and yy represents the number of hours landscaping, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer:

worked 4 hours tutoring = 4 hours * $25 = $100 earned

$130 needed - $100 earned = $30 needed

$30/ $10 hour babysitting = 3 hours

as for the number of hours, 4 hrs tutor + 3 hrs babysit = 7 hrs, 7 hours < 10 hours its within the requirements

Minimum # of hours babysitting = 3 hours

Step-by-step explanation:

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The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9.
ki77a [65]

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

7 0
3 years ago
Determine whether the rule represents an exponential function. Explain why or why not.
Alenkasestr [34]

Answer:

Yes.

Step-by-step explanation:

Exponential Parent Function: f(x)= a(b^{x})

If we write out the equation:

y = 6(5)^{x}

Whenever we have an exponent of <em>x</em>, it is a exponential function. The 5 is simply the base of the exponent and the 6 means we are vertically stretching the graph by a factor of 6.

5 0
2 years ago
How can I this math equation -5 -x =-8
Liula [17]

Answer: x = 3

Step-by-step explanation:

-5 -x = -8

-× = -8 + 5

-x = -3

x = 3

6 0
2 years ago
The points plotted below are on the graph of a polynomial. Which of the following x-values best approximate roots of the polynom
Kaylis [27]

Answer:

The correct options are:

x= -1.1

x= 2.4

x = 6

Step-by-step explanation:

The roots of any polynomial can easily be determined by the graph. To find the roots from the graph, we just have to see the values of x, for which the value of whole polynomial becomes 0.

We can see in the graph that there are three points where the value of polynomial becomes 0. that are

At x= -1.1

At x= 2.4

At x = 6

Thus, these are the roots

8 0
2 years ago
Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).
tensa zangetsu [6.8K]

Answer:

we conclude that:

  • g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

so

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14​

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

  • g(f(-5)) = 30
7 0
2 years ago
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