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1 year ago

· Andrew purchased some drinks and some chips.

Mathematics

2 answers:

Aleonysh [2.5K]1 year ago

5 0

Answer:

D.The number of drinks purchased by andrew

iren [92.7K]1 year ago

4 0

Answer:

C The total amount spent n drinks.

Step-by-step explanation:

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According to the Rational Root Theorem, the following are potential fox) 2x2 +2x 24.roots of -4, -3, 2, 3, 4Which are actual roo

aksik [14]

Correct Answer: First Option

Explanation:

There are two ways to find the actual roots:

a) Either solve the given quadratic equation to find the actual roots

b) Or substitute the value of Possible Rational Roots one by one to find out which satisfies the given equation.

Method a is more convenient and less time consuming, so I'll be solving the given equation by factorization to find its actual roots. To find the actual roots set the given equation equal to zero and solve for x as given below:

$2x^{2} +2x-24=0\\ \\ 2(x^{2} +x-12)=0\\ \\ x^{2} +x-12=0\\ \\ x^{2} +4x-3x-12=0\\ \\ x(x+4)-3(x+4)=0\\ \\ (x-3)(x+4)=0\\ \\ x-3=0, x=3\\ \\ or\\\\x+4=0, x=-4$

This means the actual roots of the given equation are 3 and -4. So first option gives the correct answer.

7 0

2 years ago

Read 2 more answers

A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?

aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0

1 year ago

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is . The

ziro4ka [17]

Question:

Sal is trying to determine which cell phone and service plan to buy for his mother. The first phone costs $100 and $55 per month for unlimited usage. The second phone costs $150 and $51 per month for unlimited usage.

The inequality that will determine the number of months, x, that are required for the second phone to be less expensive is .

The solution to the inequality is .

Sal’s mother would have to keep the second cell phone plan for at least months in order for it to be less expensive.

Answer:

a. $150 + 51x < 100 + 55x$

b. $x > 12.5$

c. At least 13 months

Step-by-step explanation:

Given

First Phone;

$Cost = \$100$

$Additional = \$55$ (monthly)

Second Phone;

$Cost = \$150$

$Additional = \$51$ (monthly)

Solving (a): The inequality

Represent the number of months with x

The first phone is expressed as:

$100 + 55x$

The second phone is expressed as:

$150 + 51x$

For the second to be less expensive that the first, the inequality is:

$150 + 51x < 100 + 55x$

Solving (b): Inequality Solution

$150 + 51x < 100 + 55x$

Collect Like Terms

$51x-55x$

$-4x$

Solve for x

$x > -50/-4$

$x > 12.5$

Solving (c): Interpret the solution in (b)

$x > 12.5$ implies 13, 14, 15....

Hence, She'll keep the second phone for a period of at least 13 months

4 0

1 year ago

Read 2 more answers

Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35

Brums [2.3K]

So for this, this can be written into the equation $y=50x+35$ (x = number of months, y = total cost).

To solve this problem, we need to plug in 1325 into the y-variable and solve from there.

$1325=50x+35$

Subtract 35 on each side to get $1290=50x$

Then just divide by 50 on each side, and your answer should be $25.8=x$

And because we cannot go past budget, we will have to round down to 25. In context, the maximum amount of months Abbey can do is 25 months.

8 0

1 year ago

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4.14 Defective rate. A machine that produces a special type of transistor (a component of computers) has a 2% defective rate. Th

scZoUnD [109]

Answer:

Step-by-step explanation:

Given that transitor has a 2% defective rate, need to calculate the probability that the 10th transistor produced is the first with a defect.

The probability function is p(x=k) = (1-p)^(n-1) * p

p = (1-defective rate)^(n-1) * defective rate; n=10

p = (1-0.02)^9 * 0.02 = 0.98^9 * 0.02 = 0.01666

8 0

1 year ago