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inysia [295]
2 years ago
7

Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has

$45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

y≥6−x ​

y≤9− 5/8x

​2 popcorn 5 pretzel

Step-by-step explanation:

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x
MAVERICK [17]

Answer:

The answer is below....V

Step-by-step explanation:

Brainliest when you can if you will!!!!

5 0
3 years ago
Which of the following are solutions to the equation below (5x+1)^2=7?<br><br> Check all that apply.
stiv31 [10]
(5x+1)² = 7; expand: 25x² + 10x +1 = 7 or 25x² + 10x -6 = 0

Solve this quadratic for x:

x = [-b + √(b² - 4ac)]/2a and x = [-b - √(b² - 4ac)]/2a
Plug the values and you'll find :
x = (- √7 - 1)/5 (answer C)
x = (+√7 -1)/5  (answer E)

4 0
2 years ago
Read 2 more answers
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
lora16 [44]

Answer:

<h2>not exist</h2>

Step-by-step explanation:

The coordinates of the intersection of the line are the solution of the system of equations.

\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

5 0
3 years ago
Population Growth The population of a town of 5000
Nesterboy [21]

Answer:

a) A=5000{(1.03)}^{t}

b) 5464 inhabitants.

Step-by-step explanation:

The formula used for compound interest becomes very helpful in this case.

A=P{(1+r)}^{t}\\\\When:\\A = Final Value\\P = Initial Value\\r = Rate of Change (Decimal)\\t = Time (Years)

Knowing this, we can easily calculate the value for any year, counting from the original 5000.

From this formula, we can derive a specific one that will serve for any value of <em>t</em>.

a)

A=5000{(1+0.03)}^{t}\\A=5000{(1.03)}^{t}

b) Apply the formula:

A=5000{(1.03)}^{3}\\A=5000(1.092727)\\A=5463.635=5464

The town will have 5464 inhabitants.

5 0
3 years ago
The ratio of side lengths of a quadrilateral is 3 : 5 : 6 : 9, and its perimeter is 9.2cm. What is the length of the longest sid
wolverine [178]

Answer:

longest side=3.6

let ratio 3:5:6:9be 3x,5x,6xand9x

perimeter= sum of all side

9.2=3x+5x+6x+9x

9.2=23x

x=9.2÷23

x=0.4

9x=9×0.4=3.6

6x=6×0.4=2.4

5x=5×0.4=2

3x=3×0.4=1.2

5 0
2 years ago
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