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3 years ago

The quadratic formula gives which roots for the equation 2x^2+7x+-2

1 answer:

7 0

The quadratic expression is given $2x^{2} +7x-2$ where the constants are

$a=2$
$b=7$
$c=-2$

Quadratic formula to find the roots is given as

x₁,₂ = [-b plus minus √(b)²-4ac)] ÷ 2a

Substitute a, b, and c from our expression we have

x₁,₂ = [-7 plus minus √(7)²-(4×2×-2)] ÷ 2(2)
x₁,₂ = [-7 plus minus√65] ÷ 4

from here we'll work out x₁ and x₂ separately

x₁ = (-7+√65) ÷ 4 = 0.266 (round to 3 dp)
x₂ = (-7-√65) ÷ 4 = -3.766 (round to 3 dp)

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Help needed! Please needed ASAP!

Naddika [18.5K]

Answer:

7)Bagel costs $3.5 and muffin cost $1.25

8) Ticket is $9 while snacks are $2

9) Correct because left hand side is zero

10) Correct because they both have same slope and same y-intercept

Step-by-step explanation:

7) Let bagel be x and muffin be y.

Thus;

For Aaron;

x + 3y = 7.25 - - - (1)

For bee;

x + 2y = 6 - - - (2)

Subtract eq 2 from eq 1 to get;

y = 1.25

Put 1.25 for y in eq 2;

x + 2(1.25) = 6

x + 2.5 = 6

x = 6 - 2.5

x = 3.5

Bagel costs $3.5 and muffin cost $1.25

8) Let movie ticket be x and snacks be y.

Thus;

2x + 3y = 24 - - - (1)

3x + 4y = 35 - - - (2)

Multiply eq(1) by 3 and eq(2) by 2 to get;

6x + 9y = 72 - - - (3)

6x + 8y = 70 - - - (4)

Subtract eq 4 from eq 3 to get;

y = 2

Put 2 for y in eq 3;

6x + 9(2) = 72

6x + 18 = 72

6x = 72 - 18

6x = 54

x = 54/6

x = 9

Ticket is $9 while snacks are $2

9) using elimination, subtract eq 1 from eq 2, we will see that the entire left hand side is equal to zero.

Thus, no solution exists because we can't isolate the variable to get an answer.

10) The answer is correct because for a system of 2 simultaneous equations to have infinite solutions, they both have to have the same y-intercept and also same slope.

In this case, their y-intercept which is when x is 0 is;

3(0) + y = 9

y = 9

Their slope is also the same equal to 3.

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3 years ago

What is a quotient? I forgot

Archy [21]

Answer:

The Answer After You Divide....

Step-by-step explanation:

The answer after we divide one number by another. dividend ÷ divisor = quotient. Example: in 12 ÷ 3 = 4, 4 is the quotient. Division.

7 0

3 years ago

Hiking boots cost $108.35. There is a 7.25% sales tax. What is the total cost of the boots?

Sergio039 [100]

Answer:

Hope this helps!

Step-by-step explanation:

How the sales tax calculator works

Step 1: take the total price and divide it by one plus the tax rate.

Step 2: multiply the result from step one by the tax rate to get the dollars of tax.

Step 3: subtract the dollars of tax from step 2 from the total price.

Pre-Tax Price = TP – [(TP / (1 + r) x r]

TP = Total Price.

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3 years ago

Read 2 more answers

Thirty five percent of the employees in a company have managerial positions, and 67 percent of the employees in the company have

seraphim [82]

Answer:

49% of employees who either have MBA or are managers.

Step-by-step explanation:

We are given the following information in the question:

P(Managerial) = 35% = 0.035

P(MBA) = 67% = 0.67

$P(\text{Managerial} \cap \text{MBA}) = 53\% = 0.53$

We have to find the probability of employees who either are have MBA or are managers.

According to De-Morgan's law:

$P(\text{Managerial} \cup \text{MBA}) = P(\text{Managerial}) + P(\text{MBA}) - P(\text{Managerial} \cap \text{MBA}) \\P(\text{Managerial} \cup \text{MBA}) = 0.35 + 0.67 - 0.53 = 0.49$