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aivan3 [116]
1 year ago
8

Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and t

he other is quadratic–without graphing the system of equations.
Mathematics
1 answer:
Assoli18 [71]1 year ago
3 0

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a} for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

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A flea treatment last 4 weeks. Jim's dog had to be treated every 3 weeks. How many weeks of flea treatment would Jim's dog get i
Reptile [31]

Answer:

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

6 0
2 years ago
Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
Fiesta28 [93]

Answer: katrina will pay less interest on the 8-year non subsidized student loan

The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years

6 0
2 years ago
Which of the following are exterior angles? Check all that apply.
Marina86 [1]

Answer:

A

C

D

E

Step-by-step explanation:

Exterior angles can be described as the angles that are formed between the side of a polygon and the extended adjacent side of the polygon.

Or an exterior angle is the angle that is not inside the triangle formed.

The angles inside the triangle are interior angles.

Exterior angles are :

2

3

4

6

Interior angles are :

1

5

6 0
2 years ago
A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be th
Alex
The answer is C 6in by 8 in. 
5 0
1 year ago
Read 2 more answers
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0=2x2+3x-8?
Basile [38]

Answer:

Step-by-step explanation:

The given quadratic equation is

2x^2+3x-8 = 0

To find the roots of the equation. We will apply the general formula for quadratic equations

x = -b ± √b^2 - 4ac]/2a

from the equation,

a = 2

b = 3

c = -8

It becomes

x = [- 3 ± √3^2 - 4(2 × -8)]/2×2

x = - 3 ± √9 - 4(- 16)]/2×2

x = [- 3 ± √9 + 64]/2×2

x = [- 3 ± √73]/4

x = [- 3 ± 8.544]/4

x = (-3 + 8.544) /4 or x = (-3 - 8.544) / 4

x = 5.544/4 or - 11.544/4

x = 1.386 or x = - 2.886

The positive solution is 1.39 rounded up to the nearest hundredth

8 0
2 years ago
Read 2 more answers
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