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antiseptic1488 [7]
1 year ago
10

Sarah's dad bought her a scooter that cost $89.95. He figures he can spend up to $30.05 on a helmet before he spends too much mo

ney in all. Let x represent how much money Sarah's dad wants to spend in all. Which inequality describes the problem?
Mathematics
1 answer:
goblinko [34]1 year ago
7 0
Easyyyyyyyyyyyyyyyyyyyyyyyyyy
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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x^4 – 2x^2 – 3x + 4?
julia-pushkina [17]

Answer: \pm1,\frac{\pm1}{3},\frac{\pm1}{9},\pm2,\frac{\pm2}{3},\frac{\pm2}{9},\pm4,\frac{\pm4}{3},\frac{\pm4}{9}


Step-by-step explanation:

The rational theorem states that if f(x) has integer coefficients and \frac{p}{q} is a rational zero, then q is the factor of leading coefficient and p is the factor of constant term.

Given polynomial= 9x^4-2x^2-3x+4

Now, Factors of leading coefficient q=\pm9,\pm3,\pm1

factors of constant term p=\pm4,\pm2,\pm1

according to rational root theorem the rational roots are in the form

\frac{p}{q}=\pm1,\frac{\pm1}{3},\frac{\pm1}{9},\pm2,\frac{\pm2}{3},\frac{\pm2}{9},\pm4,\frac{\pm4}{3},\frac{\pm4}{9}

5 0
2 years ago
Read 2 more answers
Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?
asambeis [7]

Answer:

We want a line that passes through the point (4, 7/2)

and we have no other information of this line, so we can not fully find it, but we can find a general line.

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

7 0
2 years ago
Which of the following is a correct way to measure productivity? a. Divide the number of hours worked by the quantity of output.
11111nata11111 [884]

Answer:

b. Divide the quantity of output by the number of hours worked.

Step-by-step explanation:

<em>Since the ratio of the number of output to the number of hours worked shows the productivity. </em>

Thus, option (b) is correct.

Productivity is used to converting inputs into useful output. It measures the efficiency of a person, system, machine, factory, etc.

For Example: The employee who works less hours and assembled more radios has more productivity, that employee knows how to utilize time.

6 0
1 year ago
Sam's Furniture Store places the following advertisement in the local newspaper.
boyakko [2]

Answer:

  • $500

Step-by-step explanation:

<h3>Given</h3>
  • Sofa = s
  • Love seat = l
  • Chair = c
  • Sofa and love seat cost = $1300
  • Sofa and 2 chairs cost = $1400
  • Sofa, love seat and one chair cost = $1600
<h3>To find</h3>
  • Love seat = ?
<h3>Solution</h3>

<u>Equations as per given are:</u>

  • s + l = 1300
  • s + 2c = 1400
  • s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

  • s + l + c - s - l = 1600 - 1300
  • c = 300

<u>Considering this in the equation 2:</u>

  • s + 2*300 = 1400
  • s = 1400 - 600
  • s = 800

<u>Substituting s in the equation 1:</u>

  • 800 + l = 1300
  • l = 1300 - 800
  • l = 500

<u>Answer:</u> Love seat costs $500

6 0
2 years ago
How do you write 7.75 in expanded form?
Rashid [163]
7 + 0.70 + 0.05 =7.75
7 0
2 years ago
Read 2 more answers
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