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3 years ago

What is the discriminant of Y=9x^2-3x-2???????

Mathematics

1 answer:

klasskru [66]3 years ago

6 0

Answer:

Discriminant= b²-4ac

a = 9 b = -3 and c = -2

Discriminant = (-3)² - 4(9)(-2)

= 9+72

Discriminant = 81

Ans = 81

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Evaluate the expression under the given conditions. cos(2); sin() = − 3 5 , in quadrant iii

marta [7]

The value of a particular trigonometric expression that is cos 2θ under the third quadrant is -119/169

Given:

sin θ = -⁵/₁₃

This can be seen from the trigonometric identity.

cos 2θ = 1 - 2sin²θ

From trigonometric identities, we know that;

cos 2θ = 1 - 2sin²θ

Thus;

cos 2θ = 1 - 2(-⁵/₁₃)²

cos 2θ = 1 - 2(25/169)

cos 2θ = 119/169

since cos θ is negative in the third quadrant, then we have;

cos 2θ = -119/169

so; cos θ is negative in the third quadrant, so ;

cos 2θ = -119/169

For more information about trigonometric ratio visit brainly.com/question/13276558

8 0

1 year ago

Anna’s bank gives her a loan with a stated interest rate of 10.22%. How much greater will Anna’s effective interest rate be if t

Mumz [18]

Answer:

d. 0.0463% points.

Step-by-step explanation:

We have been given that Anna's bank gives her a loan with a stated interest rate of 10.22%.

To find the how mush the interest rate is effective, while compounded daily than compounded monthly, we will find the difference between interest compounded daily from interest compounded monthly.

$\text{The effectiveness of interest rate compounded daily}=(1+\frac{r}{365})^{365}-(1+\frac{r}{12})^{12}$

Let us convert our given rate in decimal form.

$10.22\%=\frac{10.22}{100}=0.1022$

Upon substituting our given interest rate in above equation we will get,

$\text{The effectiveness of interest rate compounded daily}=(1+\frac{0.1022}{365})^{365}-(1+\frac{0.1022}{12})^{12}$

$\text{The effectiveness of interest rate compounded daily}=(1+0.00028)^{365}-(1+0.008516666)^{12}$

$\text{The effectiveness of interest rate compounded daily}=(1.00028)^{365}-(1.008516666)^{12}$

$\text{The effectiveness of interest rate compounded daily}=1.1075891260304368-1.1071257622419648$

$\text{The effectiveness of interest rate compounded daily}=0.000463363788$

Let us convert our rate in percentage by multiplying our answer by 100.

$\text{The effectiveness of interest rate compounded daily}=0.000463363788*100$

$\text{The effectiveness of interest rate compounded daily}=0.0463363788\%$

Therefore, the Anna's effective interest rate will be 0.04633% points and option d is the correct choice.

7 0

3 years ago

Read 2 more answers

PLEASE I NEED HELP

Lady_Fox [76]

$\bf \begin{cases} x-2y=-7\\ x-y=9\implies \boxed{x}=9+y \end{cases} \\\\\\ \stackrel{\textit{substituting \underline{x} in the first equation}}{\boxed{9+y}-2y=-7}\implies -y=-16 \\\\\\ y=\cfrac{-16}{-1}\implies y=16\\\\ -------------------------------\\\\ \stackrel{\textit{and substituting \underline{y} in the first equation}}{x-2(16)=-7}\implies x-32=-7\implies x=25 \\\\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~(\stackrel{x}{25}~~,~~\stackrel{y}{16})$

6 0

3 years ago

Please help me with this!

Georgia [21]

$\boxed {\boxed { \text {Discriminant = }b^2 - 4ac}}$

Given that the equation is 3x² - 6x + 3 = 0

Discriminant = (-6)² - 4(3)(3) = 0

When the discriminant is 0, it means that there is one -real0number root,

Answer: one real-number root.

8 0

3 years ago

(Quadratic Formula) (Irrational level 1)

Leni [432]

Answer:

(-11 +/- sqrt 21) / 10

-0.64 , -1.56 to the nearest hundredth.

Step-by-step explanation:

9v^2 + 11v + 5 = 4v^2

5v^2 + 11v + 5 = 0

Using the quadratic formula:

v = [ - 11 +/- sqrt(11^2 - 4*5*5) ] / 2*5

= (-11 +/- sqrt 21) / 10

= -0.64 , -1.56 to the nearest hundredth.

7 0

3 years ago