Use the discriminant to determine the number of real solutions to the quadratic equation.
6a2−11a+9=0
What is the number of real solutions?
Select the correct answer below:
0

1

2

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

Answer:

I am pretty sure that it is.

Step-by-step explanation:

Isn't 3 bigger than 1

Well i hope this helps

Have a great day!!!!!!!

Answer: 3

Step-by-step explanation:

Answer:

last one, the same X cant have more than one Y.

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

Answer:

Step-by-step explanation:

a sub n  = a sub 1 x r ^ n-1

a sub n = 17 since that's what's in question

a sub 1 = 4 since that's the starting amount

r = 1.13 since that's the difference 

a sub 17 = 4(1.13) ^17-1

a sub 17 = 4(7.0673255268)

a sub 17 = 28.2693021072

a sub 17 ≈ 28.37

Please vote brainliest

The number of villagers that Chase can create to live in his 17th town is 28.27.

A function assigns the value of each element of one set to the other specific element of another set.

A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,

[tex]A = 4(1.13)^{(n-1)}[/tex]

Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].

B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,

[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]

Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.

Learn more about Function:

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Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

you are x

three times is 3x

2 years older is 3x + 2

Answer:

3x+2

Step-by-step explanation:

3 times x plus 2 since he's 2 years older than that

Answer:

True

Step-by-step explanation:

Because I did this.

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

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Answer:

0.0268 = 2.68% probability that the sample average is greater than $229,500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Single house:

The mean appraised value of a house in this subdivision for all houses is $228,000, with a standard deviation of $8,500, which means that [tex]\mu = 228, \sigma = 8.5[/tex]

Sample:

Sample of 120, so, by the central limit theorem, [tex]n = 120, s = \frac{8.5}{\sqrt{120}} = 0.7759[/tex]

What is the probability that the sample average is greater than $229,500?

This is 1 subtracted by the pvalue of Z when X = 229.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{229.5 - 228}{0.7759}[/tex]

[tex]Z = 1.93[/tex]

[tex]Z = 1.93[/tex] has a pvalue of 0.9732

1 - 0.9732 = 0.0268

0.0268 = 2.68% probability that the sample average is greater than $229,500

Answer:

383

Step-by-step explanation:

Answer:

230.33333.

Step-by-step explanation:

To know how much 691/3 is in long division, the following mathematical calculation must be performed, taking into account that long divisions seek to divide both the whole numbers and the decimals of the number:

691/3 = 230 (1 left over)

1/3 = 0.333333

230 + 0.33333 = 230.33333

Therefore, 691 divided by 3 results in 230.33333.

Answer:

The new navigation height of the submarine is -62.25 feet.

Step-by-step explanation:

Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:

3/4 ft = 0.75 ft

-75 x 0.75 = -56.25 ft

3/8 ft = 0.375 ft

-16 x 0.375 = -6 ft

-56.25 + -6 = -62.25

Thus, the new navigation height of the submarine is -62.25 feet.

Answer:

0.222

Step-by-step explanation:

out of 36 outcomes you have 8 possible outcomes for a '4' or '6':

1,5

5,1

3,3

2,4

4,2

2,2

1,3

3,1

8/36 = 2/9 = .2 repeating

The probability that the dice faces add up to either 4 or 6 is 0.222.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

Here, After two six sided dice are rolled,

Hence, Total outcomes = 36

So, Probability of getting sum 4 that is,  {(1, 3), (2, 2), (3, 1)};

P = 3/36    

And, Probability of getting sum 6 = 5/36

Hence, Total Probability of getting sum either 4 or 6 = 3/ 36 + 5/36

                                                                         = 8/36

                                                                         = 2/9

                                                                         = 0.222

Thus, the probability that the dice faces add up to either 4 or 6 is 0.222.

Learn more about Probability from:

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Answer:

6x^5 + 11x^3 - 12x^2 - 10x + 8

Step-by-step explanation:

(-3x^2 + 2) x (-2x^3 - 5x + 4)

Ok, so we need to do an advanced version of FOIL. We need to multiply -3x^2 by the other three numbers, then the same with 2. Then we add up like terms.

-3x^2 x -2x^3 = 6x^5

-3x^2 x -5x = 15x^3

-3x^2 x 4 = -12x^2

Now to do 2 x -----.

2 x -2x^3 = -4x^3

2 x -5x = -10x

2 x 4 = 8

Last, but not least, we combine like terms.

6x^5 + 11x^3 - 12x^2 - 10x + 8

Answer:

3

Step-by-step explanation:

it passes the vertical line test

hope this helps have a good day!

Answer:

4) wall = 114 ft^2

$118.56 to paint

5) 77 cm^2

Step-by-step explanation:

4) (15 x 8)-(2 x 3)=120-6=114 ft^2

114 x $1.04 = $118.56

5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2

Answer:

4:

114,$118.56

5. 77

Step-by-step explanation:

To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.

15 x 8 = 120

120 - (3 x 2) =

120 - 6 = 114ft^2

To find the cost, multiply the area by the cost:

1.04 x 114 = $118.56

Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.

8 x 3.5 = 28 cm^2

14 x 3.5 = 49cm^2

Add together to get the area:

49 + 28 = 77 cm^2

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Answer:

$55.00

Step-by-step explanation:

$6.50 (8) + $3 = $55.00

Answer:

Option (3)

Step-by-step explanation:

Surface area of a cylinder is given by the formula,

Surface area = 2πr(r + h)

Here, r = radius of the circular surfaces

h = Height of the cylinder

From the figure attached,

r = 8 in.

h = 8 in.

Therefore, Surface area of the cylinder = 2π(8)(8 + 8)

                                                                 = 256π

                                                                 = 803.8 in² [If π = 3.14]

Option (3) will be the correct option.