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andriy [413]
3 years ago
13

Please help me with this.

Mathematics
1 answer:
pshichka [43]3 years ago
6 0

Given:

The quadratic equation is:

3x^2-5x-2=0

To find:

Point that is the solution of given equation.

Solution:

We have,

3x^2-5x-2=0

The quadratic function of the above equation is:

y=3x^2-5x-2

Putting x=1, we get

y=3(1)^2-5(1)-2

y=3-5-2

y=-4

The function passes through the point (1,-4). It means (1,-4) is the solution of given equation but (1,5) is not a solution of given equation.

Therefore, the correct option is A.

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Convert 99 ounces to pounds and ounces.
Simora [160]

Answer:

6 pounds 3 ounces

Step-by-step explanation:

16 oz in a lb. 16 *6 = 96. Leaving 3 oz left.

8 0
3 years ago
Read 2 more answers
7n+2 = 4n+17 solve the equation
lions [1.4K]

Answer:

n = -5

Step-by-step explanation:

Solve for n:

n + 2 = 4 n + 17

Hint: | Move terms with n to the left hand side.

Subtract 4 n from both sides:

(n - 4 n) + 2 = (4 n - 4 n) + 17

Hint: | Combine like terms in n - 4 n.

n - 4 n = -3 n:

-3 n + 2 = (4 n - 4 n) + 17

Hint: | Look for the difference of two identical terms.

4 n - 4 n = 0:

2 - 3 n = 17

Hint: | Isolate terms with n to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 3 n = 17 - 2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-3 n = 17 - 2

Hint: | Evaluate 17 - 2.

17 - 2 = 15:

-3 n = 15

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 15 by -3:

(-3 n)/(-3) = 15/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 15/(-3)

Hint: | Reduce 15/(-3) to lowest terms. Start by finding the GCD of 15 and -3.

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

n = 5/(-1)

Hint: | Simplify the sign of 5/(-1).

Multiply numerator and denominator of 5/(-1) by -1:

Answer: n = -5

5 0
2 years ago
Amir walks 1/2 mile in 15 minutes. Jody walks 2/3 mile in 20 minutes. Who walks at a faster rate?
ella [17]

Answer:

Jody walks at a faster rate because it would take Amir 30 minutes to walk a mile and Jody approximately 26.6 minutes to walk a mile.

5 0
2 years ago
Read 2 more answers
In 1/8 days, a construction crew built 1/4 miles of a road. What is the unit rate in miles per day.
tigry1 [53]

The unit rate of road construction is 2 miles per day.

Step-by-step explanation:

Given,

In \frac{1}{8} days \frac{1}{4} miles road is constructed.

To find

The rate of road constructed per day

Method

We will apply unitary method to solve it.

Now,

In \frac{1}{8} days \frac{1}{4} miles road is constructed.

In 1 day the road will be constructed = \frac{1}{4} ÷ \frac{1}{8} miles

= 2 miles

4 0
3 years ago
4. Break-Even Analysis
DiKsa [7]

Answer:

x = 1178 games

Step-by-step explanation:

Let the number of games = x

Let the total cost = Tc

Let the total revenue = Tr

Given the following data;

Investment = $10,000

Cost of each game = $1.50

Selling cost = $9.99

Total cost, Tc = (Cost of each game * Number of games) + Investment

Tc = 1.50x + 10000

Total revenue, Tr = Selling cost * Number of games

Tr = 9.99x

Breakeven point is when total cost is equal to total revenue;

Tc = Tr

1.50x + 10000 = 9.99x

9.99x - 1.50x = 10000

8.49x = 10000

x = \frac {10000}{8.49}

x = 1177.86 ≈ 1178 games.

<em>Therefore, the number of games that must be sold before the business breaks even is 1178 games. </em>

4 0
2 years ago
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