find the value of k for which the equation 3x square-6x+k=0 has district real root​

Answer:

1.

Step-by-step explanation:

1. sin 241 = sin(61 + π) = -sin61 = -t^(1/2)

2. sin^2 + cos^2 =1, cos 61= (1-t)^(1/2)

3. [2sin^2 (x)sin(x) +2cos^2 (x)sin(x)]/2cos(x) = 2sin(x) / 2cos(x) = tan(x)

4. tan (x), x do not equal to （π/2 +or- kπ）

x do not equal to 90，270。

Answer:

x = -1 ± √17

Step-by-step explanation:

x² + 2x + 1 = 17

Subtract 1 form both sides

x² + 2x = 16

complete the square using half the x coefficent, 1) as the complete the square term

(x + 1)² = 16 + 1²

(x + 1)² = 17

Take the square root of both sides

x + 1 = ±√17

Subtract 1 from bot sides

x = -1 ± √17

Answer:

correct one is second option

Step-by-step explanation:

do by applying quadratic formula

Answer: X1= 4, X2= 7

Step-by-step explanation:

The correlation coefficient that would best describe the line of best fit shown in the scatter plot is 0.9 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

We can see that Slope is not near to horizontal, thus Correlation Coefficient will be greater than 0.5

Since the value of X axis is get increased, then the value of Y axis is also increasing.

According to the graph is scattered in such a way that, if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases, then the relation is positive correlation.

Therefore, the given scatter plot shows positive weak correlation with value 0.9 .

To know more about statistics, here

brainly.com/question/23724696

#SPJ2

Step-by-step explanation:

yea!!!!

The equation y = x is linear and m = 1 and b = 0. The equation y = 6 is linear with m = 0 and b = 6 (it is graphically represented by a horizontal line).

Answer:

9.09 meters per second

Step-by-step explanation:

100 divided by 11= 9.09 meters per second.

Answer:

[tex] \sqrt{19} [/tex]

Step-by-step explanation:

Pythagoras

c² = a² + b²

with c being the Hypotenuse (= the side opposite of the 90 degree angle).

=>

10² = 9² + b²

100 = 81 + b²

19 = b²

b = sqrt(19) (≈ 4.36)

Step-by-step explanation:

hear is your answer with calculation

The question is incomplete and the full version can be found online.  

Answer: Janeth has 17.92 dollars in her account.

Step-by-step explanation:

The question states that, after having been told that she overdrew her account the previous month, Claire´s new bank balance is 17.92 dollars. Having said that, the question is what does that new amount means, and the options given are that she overdrew her account by 17.92 dollars, or that she has 17.92 dollars in her account.

The answer couldn´t be that Claire overdrew her account again, by 17.92 dollars this time, because if that was the case, her new balance would be the addition of the previous -45.32 dollars plus the new -17.92 dollars:

-45.32-17.92=-63.24

This means that the new amount would be -63.24. Since the number is positive, it represents the money she has in the account: 17.92 dollars

Answer;  la risposta è b!

the anwser is b!

Step-by-step explanation:

Answer:

2X+100 =8X+208

8X-2X=100-208

6X=-108

X=-18

8X+208=(8×-18)+208

=-144+208

=64

ANGLE 3=180-64

=116

Answer: The measurement of angle #3 on the photo you provided it would be a 300 Degree angle if that is what you're asking

Step-by-step explanation: If you're asking what measure of an angle #3 is the correct measurement is 300 Degrees

Answer:

a) Josh likely made the negative and positive multiplication error.

b) -20a-8+12b

= -4(5a+2-3b)

Step-by-step explanation:

To check if you are correct, you can always simplify it again:

-4(5a+2-3b)

=-20a-8+12b

Remember:

Negative times negative equals to positive, negative times positive equals to negative!

I hope this is helpful! :)

Answer:

Option C: 4√10

Step-by-step explanation:

From the geometric mean theorem, when we have this type of rectangle with a height of say "x" and left and right distances to this height as "a" and "b" respectively, then the theorem says that;

x/a = b/x

Applying it to this question;

Altitude is "m"

Left side measurement is 8

Right side measurement is 20

Thus;

m/8 = 20/m

Cross multiply to get;

m² = 160

m = √160

m = √(16 × 10)

m = 4√10

Answer:

C

Step-by-step explanation:

C

Answer:

There is a mistake in the question. x results in a decimal answer, which is not possible for number of hoops.

Step-by-step explanation:

Aileen: x

Zulie: 3x

Melody: 4 + x

Zoe: x - 3

Abigail: x - 3

82 = (x) + (3x) + (4+x) + (x-3) + (x-3)

Combine Like Terms

x + 3x + x + x + x = 7x

4 - 3 - 3 = -2

7x - 2 = 82

7x = 80

x results in a decimal answer, which is not possible for number of hoops.

Given:

The graph of an inequality.

To find:

The inequality.

Solution:

In the given graph, the boundary line passes through the points (-3,3) and (0,1).

So, the equation of the boundary line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-3=\dfrac{1-3}{0-(-3)}(x-(-3))[/tex]

[tex]y-3=\dfrac{-2}{3}(x+3)[/tex]

[tex]y-3=-\dfrac{2}{3}(x)-\dfrac{2}{3}(3)[/tex]

Adding 3 on both sides, we get

[tex]y=-\dfrac{2}{3}(x)-2+3[/tex]

[tex]y=-\dfrac{2}{3}(x)+1[/tex]

The boundary line is a solid line and the shaded region is above the boundary line. So, the sign of inequality must be [tex]\geq[/tex] and the required inequality is:

[tex]y\geq -\dfrac{2}{3}(x)+1[/tex]

Therefore, the correct option is B.

Answer:

403

Step-by-step explanation:

divide 2.75 and 1,1109 and you will get your answer

Answer:

(a^9/8)

Step-by-step explanation:

(a/b)^n = (a^n/b^n)

1/4x1/2x1/3=1/ (4×2×3)

=1/24

Answer: 1/24

Answer:

1.43 is the answer when you round it 2 decimal places

Step-by-step explanation:

hope this helps

Answer:

1. h(x) = x + 5—> f(x) = x² + 4x - 5, and g(x) = x - 1

2. h(x) = x + 3 —> f(x) = x² - 9, and g(x) = x - 3

3. h(x) = x + 4—> f(x) = x² - 16, and g(x) = x - 4

4.h(x) = x - 1—> f(x) = x² - 4x + 3, and g(x)= x - 3

Step-by-step explanation:

A) f(x) = x² - 9, and g(x) = x - 3

We are told that; h(x) = f(x)/g(x)

f(x) = x² - 9 can be factorized to;

f(x) = (x + 3)(x - 3)

Thus; h(x) = (x + 3)(x - 3)/(x - 3)

(x - 3) will cancel out to give;

h(x) = x + 3

B) f(x) = x² - 4x + 3, and g(x)= x - 3

x² - 4x + 3 can be factorized as;

(x - 1)(x - 3)

Thus; f(x) = (x - 1)(x - 3)

h(x) = (x - 1)(x - 3)/(x - 3)

h(x) = x - 1

C) f(x) = x² + 4x - 5, and g(x) = x - 1

x² + 4x - 5 can be factorized as;

(x - 1)(x + 5)

Thus; f(x) = (x - 1)(x + 5)

h(x) = (x - 1)(x + 5)/(x - 1)

h(x) = x + 5

D) f(x) = x² - 16, and g(x) = x - 4

x² - 16 can be expressed as;

(x + 4)(x - 4)

Thus; f(x) = (x + 4)(x - 4)

h(x) = (x + 4)(x - 4)/(x - 4)

h(x) = x + 4

Answer:

Step-by-step explanation:

A = {1, 3 , 5 , 7, 9 , 11 , 13 , 15 , 17 , 19}

B= { 0, 2 , 4 , 6 , 8 , 10, 12, 14, 16, 18 }

A - B means everything in A and not in B

A - B = { 1, 3 , 5 , 7 , 9 , 11 , 13, 15, 17 , 19 }

A ∩ B means elements common in A and B

A ∩ B = ∅

A - B ≠ A ∩ B

Answer:

4

Step-by-step explanation:

24/6=4

Answer:

The mean of x and y is equal to t.

Step-by-step explanation:

Given that,

The mean of t and t+2 is x.

The mean of t and t-2 is y.

i.e.

[tex]x=\dfrac{t+t+2}{2}\\\\x=(t+1)[/tex]

and

[tex]y=\dfrac{t+t-2}{2}\\\\x=(t-1)[/tex]

The mean of x and y is :

[tex]M=\dfrac{x+y}{2}\\\\M=\dfrac{(t+1)+(t-1)}{2}\\\\M=\dfrac{2t}{2}\\\\M=t[/tex]

Hence, the mean of x and y is equal to t.

Answer:

I would say 2 because if you go by absolute value it is the largest.

Answer:

962.5 yd²

Step-by-step explanation:

The formula for a trapezoid is:

(a + b) ÷ 2 x h

Where a & b are the two side lengths and h is height.

Use the formula with the given measurements:

(39.2 + 10.8) ÷ 2 x 38.5 = 962.5

Area is measured in square yards, in this case.

FINAL ANSWER:

The area of the trapezoid is 962.5 yd²

Hope this helps!

-SpaceMarsh

Answer: (0, -2) or -2

Step-by-step explanation:

Sub in 0 for x since at the y intercept x is 0

[tex]y=5(0)^2+2(0)-2\\y=5(0)+0-2\\y=0+0-2\\y=-2[/tex]

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Answer:

Part A

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

The value of a·(a² - a + 1) + 5·a, for a = -2 is -24

Step-by-step explanation:

Part A

The given function is a·(a² - a + 1) + 5·a

The function is simplified by expanding the product of sums into sums of products, as follows;

a·(a² - a + 1) + 5·a = a × a² - a × a + a × 1 + 5·a = a³ - a² + a + 5·a = a³ - a² + 6·a

The function, a·(a² - a + 1) + 5·a, in simplified format is therefore;

a·(a² - a + 1) + 5·a = a³ - a² + 6·a

Part B

When a = -2, we get;

(a³ - a² + 6·a)[tex]_{a = 2}[/tex] = (-2)³ - (-2)² + 6·(-2) = -8 - 4 - 12 = -24

Answer:

13cm

Step-by-step explanation:

if the area is 117 then to find out the missing length, you divide 117 by 9 which gets you 13.

to check its correct, 13 x 9 = 117cm^2

Answer:

The second option: 3 (6 - 5n)/20n

Step-by-step explanation:

Make sure all fractions have a common denominator:

Step 1. Find a common multiple between all three denominators

5, 4, and 10 all have a common multiple of 20. Proof: 5 × 4 = 20, 4 × 5 = 20, and 10 × 2 = 20

Step 2. Multiply the denominators to get to 20. Whatever you do to the bottom (denominator) must be done to the top (numerator).

1/5n × 4/4 = 4/20n

3/4 × 5n/5n = 15n/20n

7/10n × 2/2 = 14/20n

Your fractions now all have a common denominator of 20n.

Rewrite the equation using the new fractions:

4/20n - 15n/20n + 14/20n

Only focus on adding/subtracting the numerators; the denominators will stay the same: 20n.

(4 - 15n + 14)/20n

Combine like terms:

(18 - 15n)/20n

Factor out any numbers possible:

3(6 - 5n)/20n

Note* 3 go into both 18 and 15, which allows us to factor 3 out. 18 ÷ 3 = 6 and 15 ÷ 3 = 5, giving us our new numbers inside the parentheses.